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Subject: Re: Mate in 16? ..see if your computer will solve it!

Author: Uri Blass

Date: 13:42:44 02/16/01

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On February 16, 2001 at 15:35:40, Lin Harper wrote:

>
>   [D]8/8/8/2p5/R1P5/P5p1/P3K1p1/6k1 w
>
>   Thanks for the help with FEN, guys. Now for the above position.
>   It's simple enough.. any club strength player would find the
>   right line in a short time. But can your comp find the mate
>   sequence?

I do not agree that every club player will find the mate in a short time.
I tried it for 1 minute without sucess.



Crafty could prove a mate in 16 in less than 1 minute(56 seconds on p200).

1.Ra7 Kh1(2) 2.Rh7+ Kg1 3.Kd2 Kf1(2) 4.Rf7+ Kg1 5.a4 Kh1(2) 6.Rh7+ Kg1 7.a5
Kf1(2) 8.Rf7+ Kg1 9.a6 Kh1(2) 10.Rh7+ Kg1 11.a7 Kf1(2) 12.Rf7+ Kg1 13.a8Q Kh1(2)
14.Qh8+ Kg1 15.Qa1+ Kh2 16.Rh7#

I think that 3.Kd2 is the hardest move for humans who try to prove the mate
because a lot will prefer 3.Kf3 that is also winning.

The long move 15.Qa1+ is also not trivial to find.
I am also not sure if mate in 16 is the shortest mate.


Crafty 18.01 has no problem to find the mate so I guess that the problem is not
hard for computers(at least for programs that use the single reply extension
like Crafty).

Uri



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