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Subject: Re: Two easy mates.

Author: Heiner Marxen

Date: 14:39:18 11/04/01

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On November 04, 2001 at 10:45:12, leonid wrote:

>On November 04, 2001 at 08:59:37, Paul wrote:
>
>>On November 04, 2001 at 07:54:58, leonid wrote:
>>
>>>Hello!
>>
>>Hi ... Pretz's first thoughts on a p3/1000 ...
>>
>>>This one is easy:
>>>
>>>[D]Q7/3qq3/2qQqk2/1nQRNqq1/nBKRRNq1/PrbBQq2/1PrPq3/2Bb4 w - -
>>
>>00:05 WM9 07 Qh8+ Qgg7 Nxd7+ Qcxd7 Nh5+ Qfxh5 Rxe6+ Qgxe6 Qef4+ Qxf4 Rxf4+ Qf5
>>Rxf5+ Kg6 Qg1+ Qg5 Qxg5#

Hi to both of you!

5 seconds?  Well, Chest is not _that_ fast, but this one is comparatively
easy:  in 111.46 seconds (K7/600, 350 MB) Chest confirms that Qh8+ is the
only solution in 9 moves:

PV: Qh8+ Qgg7 Nxd7+ Qcxd7 Nh5+ Qfxh5 Rxe6+ Qgxe6 Qef4+ Qxf4 Rxf4+ Qf5 Rxf5+ Kg6
Qg1+ Qg4+ Rf4#

Except for the last 2 plies identical to your line.  Timing:

#  1      0.00s                 0kN           0.92          1-         0
#  2      0.00s                 0kN [ 48.00]  1.00          1-         0
#  3      0.01s                 0kN [  8.92]  0.95         43-         0
#  4      0.08s [  8.00]        3kN [  7.19]  1.17        327-         0
#  5      0.42s [  5.25]       21kN [  6.79]  1.30       2391-         0
#  6      1.81s [  4.31]       88kN [  4.20]  1.56      10849-         0
#  7      7.28s [  4.02]      357kN [  4.07]  1.98      45853-         0
#  8     28.55s [  3.92]     1406kN [  3.94]  2.46     180809-         0
#  9    111.45s [  3.90]     5597kN [  3.98]  3.17     706062-         0

Yes, a very "mild" EBF.


>>>But if you want to solve something that is not difficult, almost the same but
>>>demand more thinking, then try this:
>>>
>>>[D]Q7/3qq3/2qNqk2/1nNRNqq1/nPKPRNq1/PrbBQq2/1PrQq3/2Bb4 w - -
>>
>>00:35 WM13 09 Qh8+ Qeg7 Nxd7+ Qexd7 Nh5+ Q5xh5 Rxf5+ Qfxf5 Qeh6+ Qhg6 Q6xg7+
>>Qgxg7 Qdh6+ Qfg6 Rf4+ Qxf4 Qxg6+ Ke7 Qgxg7+ Qf7+ Qxf7+ Kxd6 Qf4+ Ke7 Qhf8#
>>
>>Not sure of course whether these are the shortest possible mates ...

This one is significantly harder for Chest.  After 4.2 hours (K7/600, 350 MB)
it confirms, again: Qh8+ is the only shortest solution in 13 moves:

PV: Qh8+ Qeg7 Nxd7+ Qexd7 Nh5+ Q5xh5 Rxf5+ Qfxf5 Qeh6+ Qhg6 Q6xg7+ Qgxg7 Qdh6+
Qfg6 Rf4+ Qxf4 Qxg6+ Ke7 Qgxg7+ Qf7+ Qxf7+ Kxd6 Bf4+ Qe5 Bxe5#

#  1      0.00s                 0kN           0.87          1-         0
#  2      0.00s                 0kN           1.00          1-         0
#  3      0.01s                 0kN [  7.98]  0.94         44-         0
#  4      0.06s [  6.00]        3kN [  7.39]  1.05        249-         0
#  5      0.21s [  3.50]       12kN [  4.79]  1.27       1171-         0
#  6      0.87s [  4.14]       51kN [  4.14]  1.64       4834-         0
#  7      3.53s [  4.06]      219kN [  4.25]  2.15      20696-         0
#  8     10.65s [  3.02]      657kN [  3.00]  2.95      61072-         0
#  9     38.86s [  3.65]     2677kN [  4.07]  3.91     217967-         0
# 10    171.46s [  4.41]    11033kN [  4.12]  4.87    1045649-         1
# 11    554.99s [  3.24]    30770kN [  2.79]  5.67    3823600-      4947
# 12   2482.73s [  4.47]   112283kN [  3.65]  5.53   18494015-   9748454
# 13  14165.08s [  5.71]   558147kN [  4.97]  5.27  111698871- 102950970

It starts out even faster than for the first problem, and although the EBF
stays quite moderate, the additional 4 moves depth make a lot of difference.

One statistics came as a surprise: for several depthes the EBF was not
from enumerating alternate white moves, but from enumerating more black
defense moves!  I do not recall to have seen that before:

depth     w moves     b moves    w quot  b quot
mvx 13:         22         28  [ 22.000  1.273]         21
mvx 12:        167        327  [  5.964  1.958]        109
mvx 11:       1550       5746  [  4.740  3.707]        318          4
mvx 10:       6634      25390  [  1.155  3.827]       1124         27
mvx  9:      24984      94753  [  0.984  3.793]       3569        173
mvx  8:      89914     322532  [  0.949  3.587]      14073        647
mvx  7:     364201    1143166  [  1.129  3.139]      44813       2043
mvx  6:    1553495    3780853  [  1.359  2.434]     171837       6558
mvx  5:    6995183   13062507  [  1.850  1.867]     821338      22892
mvx  4:   32190163   47679286  [  2.464  1.481]    2308374      86151
mvx  3:  137230996  151136869  [  2.878  1.101]
mvx  2:  128053285   32693591  [  0.847  0.255]
mvx  1:    1690987          0  [  0.052       ]

Between depth 10 and 5 (depth to go) black contributed more than white to EBF.


Hmmm... isn't it already a long time that Pretz did not find a shortest
solution?  Can that happen at all?  Shouldn't we replace Chest with Pretz?
It is so much faster  :-))  [ok, just kidding :-]

Cheers,
Heiner


>>>Please indicate your result.
>
>Hi, Paul!
>
>Now you reached me for sure. On first and second position, your time is better
>that mine. First took 9 second for selective search 9 moves deep, and second 62
>sec for selective in 13 moves. Both solutions are the shortest possible. I
>solved both by brute force. Branching factor is very mild for both of them.
>
>Cheers,
>Leonid.



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