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Subject: Re: The problem I will never forget in my lifetime!!

Author: Andreas Stabel

Date: 05:24:43 02/16/00

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On February 16, 2000 at 06:13:35, blass uri wrote:

>On February 16, 2000 at 04:56:00, Andreas Stabel wrote:
>
>>On February 16, 2000 at 01:37:13, Rajendran Ramachandran wrote:
>>
>>>Hi!
>>>
>>>
>>>Position: 8;8;5K2;8;8;8;4Q3;7k white to play and mate in a maximum of twelve
>>>moves without touching white's king.
>>>
>>>To avoid any ambiguity about position, let me explain that there are ONLY three
>>>pieces on the board!
>>>
>>>White King  on f6
>>>White Queen on e2
>>>Black King  on h1
>>>
>>>
>>>The only condition is White's king is untouchable.....meaning that you are not
>>>allowed to move it! You are allowed to take help from any chess program except
>>>Hiarcs.
>>>
>>>I am sure you will enjoy this and show this to your friends as well! Above all
>>>it is very hard to forget this as it is so simple to understand and remember but
>>>difficult to solve!
>>>
>>>I have not created this one but if my memory serves me right, this problem was
>>>created by a computer of stone age!!!
>>>
>>>Thanks.
>>>
>>>raj
>>
>>I seem to have found a solution with max. 9 moves:
>>1. Qf3 Kh2 2. Qf1 Kg3 3. Qe2
>>   3... Kh4 4. Qg2 Kh5 5. Qg5#
>>   3... Kh3 4. Qf2 Kg4 5. Qe3
>>      5... Kh5 6. Qg3 Kh6 7. Qg6#
>>      5... Kh4 6. Qg5+ Kh3 7. Qg1 Kh4 8. Qg2 Kh5 9. Qg5#
>>   3... Kf4 4. Qd3 Kg4 5. Qe3
>>      5... Kh5 6. Qg3 Kh6 7. Qg6#
>>      5... Kh4 6. Qg5+ Kh3 7. Qg1 Kh4 8. Qg2 Kh5 9. Qg5#
>>
>>Regards
>>Andreas Stabel
>
>You ignore the possibility 1.Qf3 Kg1
>
>This position is not hard to solve.
>You only have to analyze all the possible positions of white queen and black
>king and find all the mate in 1 positions, all the mate in 2 positions...
>
>This is the way computers generate tablebases but in this case the size of the
>tablebases is small enough so humans with enough time can solve it
>
>Uri

After correcting the position from having the king on g1 to the correct h1
I come up with the following solution:

Part 1:
1. Qg4 Kh2 2. Qe4
   2... Kg1 3. Qf3 and we're into part 2 (mate in max. 11)
   2... Kg3 3. Qe2 and we're into part 2 (mate in max. 9)
   2... Kh3 3. Qf3+
      3... Kh4 4. Qg2 Kh5 5. Qg5#
      3... Kh2 4. Qf1 Kg3 and we're into part 2 (mate in max. 11)

Part 2:
1. Qf3 Kh2 2. Qf1 Kg3 3. Qe2
   3... Kh4 4. Qg2 Kh5 5. Qg5#
   3... Kh3 4. Qf2 Kg4 5. Qe3
      5... Kh5 6. Qg3 Kh6 7. Qg6#
      5... Kh4 6. Qg5+ Kh3 7. Qg1 Kh4 8. Qg2 Kh5 9. Qg5#
   3... Kf4 4. Qd3 Kg4 5. Qe3
      5... Kh5 6. Qg3 Kh6 7. Qg6#
      5... Kh4 6. Qg5+ Kh3 7. Qg1 Kh4 8. Qg2 Kh5 9. Qg5#

Which seem to always give a mate in 11 or less.

Regards
Andreas Stabel



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