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Subject: Re: One mate to solve.

Author: Heiner Marxen

Date: 17:09:40 08/10/01

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On August 10, 2001 at 11:44:53, leonid wrote:

>Hi!
>
>If you like, you can solve this mate:
>
>[D]8/nqq1QQQ1/k1qpN2R/r1qpQ2R/bqq1N3/b3Q2Q/n3Q2K/r3QBB1 w - -
>
>Tthis position is actually very interesting from my point of view. On  it my
>initial speed (for brute force) is very bad and branching factor is worst that
>usual. At least, position is not very deep to go.
>
>Please indicate your result.
>
>Thanks,
>Leonid.

Hello Leonid!

According to Chest this is a mate in 7 moves.  But for this depth it is
comparatively hard to compute: 3.1 hours on a K7/600 with 30 MB hash.
There are two solution moves:

PV: Nxc7+ Qbxc7 Qxc7 Qxc7 Qxc7 Bc6 Nxc5+ Qxc5 Qxa7+ Qxa7 Qgxa7+ Kb5 Qaxa5#
PV: Qxc7 Nc3 N6xc5+ Rxc5 Nxc5+ Qbxc5 Qxc4+ Qxc4 Bxc4+ Qcb5 Qcb6+ Qxb6 Qxb6#

The EBF is rather high (>14):

#  1      0.01s                 0kN           0.87          1-         0
#  2      0.01s [  1.00]        0kN           1.00          1-         0
#  3      0.09s [  9.00]        4kN [ 18.80]  0.99        107-         0
#  4      2.29s [ 25.44]      127kN [ 34.76]  1.22       5672-         0
#  5     32.63s [ 14.25]     1758kN [ 13.86]  1.55      94813-         0
#  6    525.09s [ 16.09]    28850kN [ 16.41]  1.92    1475199-    689537
#  7  11112.36s [ 21.16]   628820kN [ 21.80]  1.87   33822787-  33036356

More hash would help the last depth, but not that much.
Up to now you have posted only one position which has been nearly equally
expensive at depth 7:
Posted by leonid on February 09, 2001 at 06:51:15:
[D]1bqQBnRn/3N2Qb/Q1QN2np/1Q1Q1qpk/4Qqbn/2B1Qrnn/2Q5/K1R5 w - -

PV: Qxg5+ Nxg5 Qdxf5 Nhxf5 Qh2+ Bh3 Nf6+ Kh4 Qxh6+ Nxh6 Q4xf4+ Ng4 Qfxg5#

Again, the PV contains a non-checking move.
Also, in both cases, black has not much active counter play, and so the tree
has a not so small EBF.

That a mate in 4 costs more than 2 seconds is quite exceptional, also.

That the board looks like a large "PD" is intended, I suspect :-)
Does that mean something?

Cheers,
Heiner



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