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Subject: Re: The Forsaken King = Mate in 6

Author: John Merlino

Date: 12:07:59 02/18/05

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On February 18, 2005 at 12:50:15, F. Huber wrote:

>On February 18, 2005 at 12:20:38, John Merlino wrote:
>
>>On February 18, 2005 at 08:19:43, José Antônio Fabiano Mendes wrote:
>>
>>>       Mate in 6 ==> [D]4k3/8/8/8/8/8/PPPPPPPP/RNBQKBNR w
>>>   Source ==> "Amusements in Mathematics", by H.E. Dudeney, Dover, problem #350
>>
>>This one throws the great mate solver, The King, into a tizzy. Even after
>>forcing the first THREE MOVES, it still takes CM9_R1 over one minute on a P4-2.4
>>to announce Mate in 3 instead of Mate in 4.
>>
>>After forcing 1.e4 Ke7 2.Qg4 Kd6 3.Qg7 Kc6:
>>
>>Time	Depth	Score	Positions	Moves
>>0:00	1/6	Mate04	40292		4.Nc3 Kb6 5.Nd5+ Kc5 6.Qe7+ Kc6
>>					7.Qc7#
>>0:00	1/7	Mate04	51764		4.Nc3 Kb6 5.Nd5+ Kc5 6.Qe7+ Kc6
>>					7.Qc7#
>>0:00	1/8	Mate04	80400		4.Nc3 Kb6 5.Nd5+ Kc5 6.Qe7+ Kc6
>>					7.Qc7#
>>0:00	2/9	Mate04	164231		4.Nc3 Kb6 5.Nd5+ Kc5 6.Qe7+ Kc6
>>					7.Qc7#
>>0:01	2/10	Mate04	507497		4.Nc3 Kb6 5.Nd5+ Kc5 6.Qe7+ Kc6
>>					7.Qc7#
>>0:02	2/11	Mate04	885761		4.Nc3 Kb6 5.Nd5+ Kc5 6.Qe7+ Kc6
>>					7.Qc7#
>>0:05	3/12	Mate04	1635702		4.Nc3 Kb6 5.Nd5+ Kc5 6.Qe7+ Kc6
>>					7.Qc7#
>>0:10	3/13	Mate04	4202759		4.Nc3 Kb6 5.Nd5+ Kc5 6.Qe7+ Kc6
>>					7.Qc7#
>>0:23	3/14	Mate04	10303975	4.Nc3 Kb6 5.Nd5+ Kc5 6.Qe7+ Kc6
>>					7.Qc7#
>>0:47	4/15	Mate04	17733015	4.Nc3 Kb6 5.Nd5+ Kc5 6.Qe7+ Kc6
>>					7.Qc7#
>>1:05	4/15	Mate03	22668228	4.d4 Kb6 5.Qd7 Ka5 6.Qb5#
>>1:05	5/16	Mate03	22672755	4.d4 Kb6 5.Qd7 Ka5 6.Qb5#
>>
>>Of course, the mate solving function finds the Mate in 6 from the root position
>>in just a few seconds, so this one puzzles me.... Apparently, the problem is
>>finding 4.d4, although I can't imagine why that would be difficult, since after
>>that move the Black King has only two legal moves, and it's only a mate in two
>>after that. Bizarre....
>>
>>jm
>
>WOW, Chest (even in brute force) faster than King! - I like that position! ;-)
>
>FEN: 4k3/8/8/8/8/8/PPPPPPPP/RNBQKBNR w - - 0 1
>
>ChestUCI Ver.3.7:
>CPU: Celeron 400MHz
>FEN: 4k3/8/8/8/8/8/PPPPPPPP/RNBQKBNR w - -
>Search for Mate in 10 ...  (Hash=50MB)
>   6	00:09	     221.992	39.641	+M6	1.e4
>Search completed ...  (Time=11.43s)
>Mate in 6 found !  (00:11)
>1.e4 Kf8 2.Qg4 Ke8 3.Qg7 Kd8 4.Bb5 Kc8 5.Bc6 Kd8 6.Qd7#
>1 Solution  (Mate in 6)
>
>Regards,
>Franz.

If I use the brute force mate solver in The King, it finds the Mate in 6 in five
seconds on my P4-2.4. Amazing that it takes 10 times longer to find the Mate
that is three moves shorter using the normal analysis mode!

jm



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