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Subject: Re: One mate to solve...

Author: Heiner Marxen

Date: 18:07:46 05/13/01

Go up one level in this thread


On May 13, 2001 at 11:42:22, leonid wrote:

>Hello!
>
>If you want to solve one easy mate then this is the right one:
>
>[D]1BqQ4/nB6/1p2NQ2/kbbrNRRK/1p2NQ2/nB6/1BqQ4/8 w - -
>
>Please indicate your result.
>
>This night I wanted to solve few positions on Mate 2 but could not find how to
>say exact number of moves to search and could not see the time. If you will
>solve this position on Mate 2.0 (like me from Hiarcs package), or from some
>other version of Mate, please say your time. If you happened to solve recently
>on Mate some other mate positions, please put here, at least, one of them. Ideal
>will be mate between 6 and 9 moves. Don't forget to mention hash of program and
>speed of your computer.
>
>Thanks,
>Leonid.

Chest on a K7/600 with 350 MB hash (100 MB would have been enough this time)
needs 589 seconds (10 minutes) to come up with 2 ley moves for "mate in 7".
Since both are not checks, I give some more variants, not just the PVs:

N4xc5 Be8+  Kh6    Qxd2  Qxb6+  Kxb6  Nc4+   Nxc4 Bc7+   Qxc7  Qxc7+  Kb5 Ba6#
      Be2+  Kh6    Bc4   Qxb6+  Kxb6  Nc7+   Ka5  Qa6+   Bxa6  Qfxb4#
      Nc4   Nxc4+  Bxc4  Qxb6+  Kxb6  Nc7+   Ka5  Qa6+   Bxa6  Qfxb4#
      Q8xc5 Qxb6+  Kxb6  Nxc5+  Bc6   Ned7+  Rxd7 Qfxb4+ N3b5  Qa5#
      Qc3   Nc4+   Bxc4  Qxb6+  Kxb6  Bc7+   Qxc7 Qxc7+  Kb5   Ba6#
      Qd1+  Bxd1   Be2+  Qxe2   N7b5  Qxb5+  Kxb5 Nd4+   =*=   Qfxb6#
      Qxd2  Qxb6+  Kxb6  Nc4+   Bxc4  Bc7+   Qxc7 Qxc7+  Kb5   Ba6#
      Rd4   Qxb6+  Kxb6  Nc4+   Bxc4  Nd8+   Ka5  Na4+   Q2xf5 Qb6#
      Rxd2  Qxb6+  Kxb6  Nc4+   Bxc4  Nd8+   Ka5  Na4+   Q2xf5 Qb6#
      Bc4   Qxb6+  Kxb6  Nc7+   Ka5   Qa6+   Bxa6 Qfxb4#
      Q2xc5 Nxc5   Be2+  Qxe2   Nc4   Nxc4+  Kb5  Qfxb6#
      Qc4   Nxc4+  Bxc4  Qxb4+  Kxb4  Bc3+   Kb5  Ba4#
      Qe4   Nc4+   Bxc4  Qxb4+  Kxb4  Bc3+   Kb5  Ba4#
      Nc6   Nxc6+  =*=   Qfxb4#
      Qxb3  Nxb3+  Ka4   Qfxb4#
      -*-   Qfxb4#

N6xc5 Be2+  Ng4    Bxg4+ Kh6    Nc4   Qf1    Nb5  Qa1+   Nba3  Qxa3+ Kb5 Qaxb4#
      Be8+  Ng6    Bxg6+ Kh6    Nc4   Qf1    Nb5  Qa1+   Nba3  Qxa3+ Kb5 Qaxb4#
      Nc6   Nxc6+  Bxc6  Qxb6+  Kxb6  Qxb4+  Nb5  Ba7+   Kxa7  Qa5#
      Q8xc5 Nxc5   Qd1+  Qxd1   Bc6   Nxc6+  Nxc6 Na4    Kb5   Rxd5#
      Qc7   Nc6+   Bxc6  Qxb4+  Kxb4  Bc3+   Qxc3 Qxc3+  Kb5   Ba6#
      Qd1+  Bxd1   Be8+  Kh6    Bc6   Nb3+   Kb5  Nd6+   =*=   Qfxb4#
      Qxd8  Qxb4+  Kxb4  Nc6+   Bxc6  Bc3+   Qxc3 Qxc3+  Kb5   Ba6#
      Rd6   Qxb4+  Kxb4  Nc6+   Bxc6  Nd2+   Ka5  Na6+   Q2xf5 Qb4#
      Rxd8  Qxb4+  Kxb4  Nc6+   Bxc6  Nd2+   Ka5  Qb4+   Kxb4  Na6#
      Bc6   Qxb4+  Kxb4  Nc3+   Ka5   Qa4+   Bxa4 Qfxb6#
      Q2xc5 Nxc5   Be2+  Qxe2   Nc4   Nxc4+  Kb5  Qfxb6#
      Qc6   Nxc6+  Bxc6  Qxb6+  Kxb6  Bc7+   Kb5  Ba6#
      Qe6   Nc6+   Bxc6  Qxb6+  Kxb6  Bc7+   Kb5  Ba6#
      Nc4   Nxc4+  =*=   Qfxb6#
      Qxb7  Nxb7+  Ka6   Qfxb6#
      -*-   Qfxb6#

They are completely symetric (line 1 has no symetric counterpart).

The effective branching factor of Chest is well above 10:

depth  seconds
#  1      0.00  0.87          1-         0
#  2      0.00  1.00          1-         0
#  3      0.03  0.97         88-         0
#  4      0.28  1.06       1103-         0
#  5      2.98  1.17      11673-         0
#  6     34.17  1.29     139710-         0
#  7    588.01  1.38    2086866-        69

Also, the hash table did not contribute very much (factor 1.38).

Cheers,
Heiner



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