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Subject: Re: One mate to solve...

Author: Heiner Marxen

Date: 13:27:46 07/07/01

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On July 07, 2001 at 12:47:12, leonid wrote:

>Hi!
>
>If you would like to solve mate then position then look into this:
>
>[D]q2k2q1/1r1q1r2/nRqQqRn1/NqQbQqN1/QQ1K1QQ1/Q2B2Q1/p2b2p1/8 w - -

Hi Leonid,

According to Chest this is a mate in ten with one solution move:

PV: Qxd7+ Qcxd7 Qb8+ Qxb8 Qxb8+ Rxb8 Rxb8+ Nxb8 Qxb8+ Qc8 Nxe6+ Bxe6 Qcb6+ Rc7
Q6xc7+ Ke8 Qxg6+ Qf7 Qce7#

(K7/600, 350 MB hash, 2.3 hours)

>This position is curious from the point of view that its branching factor (when
>mate is searched by brute force) diminish with the depth of search. Usually it
>is contrary that you can see.

 depth    time      EBF
#  2      0.01s                 0kN  1.00          1-         0
#  3      0.04s [  4.00]        1kN  0.97         87-         0
#  4      0.37s [  9.25]       17kN  1.03       1272-         0
#  5      2.62s [  7.08]      126kN  1.16      11441-         0
#  6     16.15s [  6.16]      800kN  1.35      77134-         0
#  7     90.26s [  5.59]     4638kN  1.59     435750-         0
#  8    524.25s [  5.81]    28147kN  1.88    2418963-       217
#  9   2157.76s [  4.12]   116264kN  2.44    9713815-   1536836
# 10   8206.47s [  3.80]   441956kN  3.20   36849208-  28101307

Yes, for Chest also the effective branching factor (EBF) is decreasing.

> Even second variation of this position, that I
>tried by brute force, have the same tendency. Second position was left as more
>tough one. If you want to see it then change position of two pieces on the
>board. White bishop from D3 goes to H7 and black bishop from D2 to H2.

I have not yet tried that one.

> I wonder
>even if the second position don't have some solution for blacks but have no time
>to try  it. If you will try for blacks, please say me your result if even your
>result was negative.

I'm not sure what you are talking about.  Same board, but with black to move
and mate?

>Please say your result.
>
>Thanks,
>Leonid.

Cheers,
Heiner



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