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Subject: Re: Study = Ernest Pogosyants, 1973 = White to play and win [5. Qg8+!!]

Author: Heiner Marxen

Date: 09:10:46 01/07/05

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On January 07, 2005 at 10:15:06, F. Huber wrote:

>On January 07, 2005 at 09:37:55, Heiner Marxen wrote:
[...]
>>
>>Just now I have:
>>FEN: 6k1/5Np1/4n3/2Qq2PK/8/8/8/8 w - -
>>analysing (mate in 20 moves):
>>#  1      0.00s                 0kN           0.87          1-         0
>>#  2      0.00s                 0kN           1.00          1-         0
>>#  3      0.00s                 0kN [  5.20]  0.92         30-         0
>>% EGTB found tables for max 5 pieces
>>% EGTB uses 3728.4K memory internally
>>#  4      0.02s                 0kN [  3.67]  1.07        117-         0
>>#  5      0.02s [  1.00]        2kN [  3.82]  1.51        317-         0
>>#  6      0.07s [  3.50]       11kN [  6.22]  1.82       1444-         0
>>#  7      0.23s [  3.29]       51kN [  4.51]  2.34       5591-         0
>>#  8      0.94s [  4.09]      243kN [  4.76]  2.90      22069-         0
>>#  9      3.07s [  3.27]      726kN [  2.98]  3.31      70315-         0
>># 10      6.83s [  2.22]     1559kN [  2.15]  4.02     155844-         1
>># 11     20.39s [  2.99]     4502kN [  2.89]  4.74     429776-        12
>># 12     64.43s [  3.16]    13345kN [  2.96]  6.58    1143927-      2685
>># 13    244.35s [  3.79]    48544kN [  3.64]  8.60    3750376-   1285851
>># 14    889.90s [  3.64]   179343kN [  3.69]  9.96   13432518-  10933117
>># 15   3422.06s [  3.85]   670844kN [  3.74] 12.51   47288122-  44788721
>># 16  14485.35s [  4.23]  2862927kN [  4.27] 12.36  193945070- 191445669
>># 17  59920.91s [  4.14] 12006250kN [  4.19] 12.45  801825148- 799325747
>>
[...]

>>Obviously, the branching factor causes the slowness (not vice versa).
>>And Chest's worse branching factor most probably is due to its selection
>>of defender moves.  While Chest is not naive about this, it is far from
>>perfect, and sometimes a bit of "luck" is involved, also.
>>
>>For a more detailed explanation we had to compare the search trees of
>>Chest and Gustav in more detail.
>>
>>But when Gustav's branching factor here is as good as 2.5 there should
>>be a good chance to have Gustav complete depth 20, right?  Have you tried?
>
>Hello Heiner,

Hello Franz,

>no, I didn´t try it - if you remember, I´m usually working on a slow Celeron/400
>and it needed already 3 1/2 min to finish depth 13!
>So if I extrapolate the factor 2.5 for another 7 moves, this will take about
>1 1/2 days - I doubt my more than 5 years old notebook will bear this torture!
>:-(
>
>Sorry that you had no luck with this KNPKP file, but since I´m quite sure that
>this position is indeed only a mate in 20, I´d guess that even this file won´t
>be of much use for a brute force search - if there really exists a shorter mate,
>then certainly not with only those 5 pieces.
>
>But I think this special position isn´t really interesting for mate solving,
>so we shouldn´t waste more of our time with it ... ;-)

Ok, you are right.  The next line (depth 18) would have needed days already
(factor >4), so I killed the job.

>Regards,
>Franz.

Cheers,
Heiner



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