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Subject: Re: One mate to solve.

Author: Heiner Marxen

Date: 03:19:35 02/03/02

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On February 02, 2002 at 07:37:27, leonid wrote:

>[D]2QqQN2/1q3q1R/B1r1RPq1/n1k2N1q/Rq1rq1bP/1Q2P1B1/2q2b1q/K2nB3 w - -
>
>Please indicate your result.
>
>Thanks,
>Leonid.

Hello Leonid,

This one is surprisingly accessible for Chest:  on my Athlon/600 with 350 MB
hash it needs only 65.8 minutes to find that this is a mate in 12 with
two key moves:

PV: Bxb4+ Qxb4 Re5+ Qed5 Nd7+ Qdxd7 Qf8+ Qxf8 Qxf8+ Rd6 Rxd5+ Kc6 Bb7+ Kxb7
Rxd7+ Qc7 Rxb4+ Rxb4 Qxb4+ Rb6 Rxc7+ Ka6 Rxa5#

PV: Re5+ Qed5 Nd7+ Qdxd7 Bxb4+ Qxb4 Qf8+ Qxf8 Qxf8+ Rd6 Rxd5+ Kc6 Bb7+ Kxb7
Rxd7+ Qc7 Rxb4+ Rxb4 Qxb4+ Rb6 Rxc7+ Ka6 Rxa5#

After the first 3 moves both transpose to the same position/solution.
The timing shows a very good EBF: it is shrinking all the time down to
below 3:

#  3      0.01s                 1kN [ 14.57]  0.96         62-         0
#  4      0.11s [ 11.00]        7kN [  8.14]  1.10        483-         0
#  5      0.46s [  4.18]       35kN [  5.23]  1.43       2129-         0
#  6      2.41s [  5.24]      159kN [  4.58]  2.07      11344-         0
#  7      9.97s [  4.14]      618kN [  3.89]  3.39      49756-         0
#  8     38.48s [  3.86]     2275kN [  3.68]  5.23     203391-         0
#  9    113.41s [  2.95]     6544kN [  2.88]  8.08     632407-         0
# 10    421.92s [  3.72]    24007kN [  3.67]  9.20    2304940-       158
# 11   1426.10s [  3.38]    77337kN [  3.22] 10.89    7953425-    564639
# 12   3946.84s [  2.77]   202561kN [  2.62] 15.53   24840756-  16092886

Also, the hash table efficiency appears to be better than normally: speed up
factor 15.53 for depth=12.  This could be the main reason for the small EBF.
Finally, in 55.9% of the cases the defender does defend by mating the attacker
in just 1 move, cutting off the search tree.

Cheers,
Heiner



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