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Subject: Re: The Forsaken King = Mate in 6

Author: John Merlino

Date: 09:20:38 02/18/05

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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



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