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Subject: Re: If you like to find a mate... (corrected followup)

Author: Heiner Marxen

Date: 12:32:49 01/19/01

Go up one level in this thread


On January 18, 2001 at 22:06:37, leonid wrote:

>On January 18, 2001 at 19:13:22, Paul wrote:
>
>>On January 18, 2001 at 19:01:08, Pete Galati wrote:
>>
>>>On January 18, 2001 at 18:44:05, leonid wrote:
>>>
>>>>Hi!
>>>>
>>>>If you would like to find a mate here is one position. It is very easy to solve
>>>>but not that simple to find shortest mate.
>>>>
>>>>I failed here even in 3 hours to find shortest mate through brute force search.
>>>>Maybe you will have better chance.
>>>>
>>>> 1k4q1/1pppPr2/PbbP1N1n/QP2rn1R/1q6/1q2RBB1/q1q2PPP/6NK black to go
>>>>
>>>>Leonid.
>>>
>>>Is this the right position?
>>>
>>>[D]1k4q1/1pppPr2/PbbP1N1n/QP2rn1R/1q6/1q2RBB1/q1q2PPP/6NK b - - 0 1
>>
>>If so, then mine says it's a mate in 10 for black starting with Nxg3+ ...
>>It looks like a daily reverse auction ... Anyone lower, anyone? :)
>>
>>Paul
>
>Position is exact and response 10 moves must be or shortest possible, or very
>close move. Actually my program solved this position through selective search in
>11 moves. Solution was instant. Finding shortest mate is the other story.
>Through brute force program said in 8 mate is not there. Only 9 still could be
>looked.
>
>I found that branching factor was terrible to see 9 moves. AMD 400Mhz.
>
>8 moves - 2h 44 min.
>7 moves - 2 min 48 sec.
>6 moves - 7 sec.
>
>Leonid.

Now, with the correct side to move, Chest has still found "no mate in 9".
But the timing indicate an unusually large branching factor:
#  1      0.00  0.87          1-         0
#  2      0.01  1.00          1-         0
#  3      0.02  0.96         89-         0
#  4      0.06  1.09        437-         0
#  5      0.27  1.30       1693-         0
#  6      2.04  1.38       6662-         0
#  7     31.09  1.49      63238-         0
#  8    824.56  1.75    1256916-         3
#  9  24061.56  2.19   37677207-  28929306
(depth, seconds, speed, nodes in-out)  on a K7/600 (350 MB TT)

That are already 6.7 hours.  I'm not sure I will wait until the mate in 10
arrives.  We can expect over 8 days from the above data.  The last two
lines have indicate an effective branching factor of 29.2.
Although this is a bit better than Leonid's factor 60, it is still quite
a bit too heavy.

Heiner



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