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Subject: Re: "The Kaleidoscope"

Author: F. Huber

Date: 13:31:39 01/09/05

Go up one level in this thread


On January 09, 2005 at 16:14:35, Matthew Hull wrote:

>On January 09, 2005 at 10:48:23, F. Huber wrote:
>
>>On January 09, 2005 at 09:28:15, Matthew Hull wrote:
>>
>>>Composed by J. N. Babson, Seattle, Washington, in 1878.
>>>
>>>Black -- 16 pieces
>>>White -- 16 pieces
>>>
>>>Either White or Black to play and checkmate, or compel his adversary to
>>>checkmate in eleven moves.
>>>
>>>[D]Nb1QN3/1pp1PPp1/1rnn1p1P/1Pkr2B1/P1pRpK1p/2P1P2B/2qb2Pp/4R3 w - - 0 1
>>
>>Hi Matthew,
>>
>>that´s really an amazing position!
>>
>>I´ve now checked all 4 cases and can confirm three of them:
>>
>>Nb1QN3/1pp1PPp1/1rnn1p1P/1Pkr2B1/P1pRpK1p/2P1P2B/2qb2Pp/4R3 b - - bm #11; 00:00
>>@ C3/K5/P3/X6;
>>Nb1QN3/1pp1PPp1/1rnn1p1P/1Pkr2B1/P1pRpK1p/2P1P2B/2qb2Pp/4R3 w - - bm s#11; 00:00
>>@ C1/K2/P2/X2;
>>Nb1QN3/1pp1PPp1/1rnn1p1P/1Pkr2B1/P1pRpK1p/2P1P2B/2qb2Pp/4R3 b - - bm s#11; 00:02
>>@ C1/K5/P3/X4;
>>
>>So both selfmates in 11 are ok, and also the mate in 11 if it´s blacks turn -
>>but if white has to move it seems to be only a mate in 12!?
>>
>>Nb1QN3/1pp1PPp1/1rnn1p1P/1Pkr2B1/P1pRpK1p/2P1P2B/2qb2Pp/4R3 w - - bm #12; 00:00
>>@ C3/K4/P2/X3;
>>
>>I´ve tested this with Chest, King and GoliathMate - Gustav failed because it
>>doesn´t accept this position as legal.
>>Of course I´ve not tried it yet with Chest in brute-force mode (this would
>>take too long on my slow notebook), but I´m quite sure that this #12 is
>>indeed the shortest possible.
>>But if you have a solution in 11 moves, please post the mainline here -
>>maybe then I could check it again with Chest.
>
>
>Wow!  That's and incredible verification for the three problems, all composed
>nearly a century before an adequate computer could be expected to verify it.
>
>I have never seen this problem published except in the July-August, 1924, Vol.
>21 of The American Chess Bulletin.  None of the subsequent issues contain a
>solution, which according to the author, had never been correctly submitted up
>to that date, though TACB stated that it had "an exhausting analysis of the
>position" from the author in its possesion.  So I've never seen the solution
>published.

Oh, there are really no solutions available for this fantastic problem?

Well, then I think I should post them ... ;-)

All done on:
------------
ChestUCI Ver.3.7:
CPU: Celeron 400MHz

Mate in 12 for White:
---------------------
FEN: Nb1QN3/1pp1PPp1/1rnn1p1P/1Pkr2B1/P1pRpK1p/2P1P2B/2qb2Pp/4R3 w - -
Search for Special-Mate [C3/K4/P2/X3] in 12 ...  (Hash=32MB)
  12	00:00	           0	0	+M12	1.Rxd5+
Search completed ...  (Time=0.17s)
Mate in 12 found !  (1 Solution in 00:00)
 12/12	00:00	       4.147	24.394	+M12	1.Rxd5+ Kxd5 2.Nexc7+ Bxc7 3.Nxc7+ Kc5
4.Qxd6+ Kxd6 5.e8N+ Ke7 6.f8Q+ Kxf8 7.hxg7+ Ke7 8.Bxf6+ Kf7 9.Be6+ Kg6 10.g8Q+
Kh6 11.Qg7+ Kh5 12.Qg5+
Best move: Rxd5, Value: +Mate in 12, Depth: 12/12, Time: 00:00,831, 4.147 Nodes,
24.394 N/sec

Mate in 11 for Black:
---------------------
FEN: Nb1QN3/1pp1PPp1/1rnn1p1P/1Pkr2B1/P1pRpK1p/2P1P2B/2qb2Pp/4R3 b - -
Search for Special-Mate [C3/K5/P3/X6] in 11 ...  (Hash=32MB)
  11	00:01	           0	0	+M11	1. ... fxg5+
  11	00:01	           0	0	+M11	1. ... Bxe3+
Search completed ...  (Time=0.94s)
Mate in 11 found !  (2 Solutions in 00:00)
 11/11	00:01	      16.950	18.031	+M11	1. ... Bxe3+ 2.Rxe3 fxg5+ 3.Kg4 Ne5+ 4.Kh5
g6+ 5.Kxg5 Ndxf7+ 6.Kf4 g5+ 7.Kf5 Nxh6+ 8.Kxg5 Qxg2+ 9.Rg3 Qxg3+ 10.Kh5 Qg6+
11.Kxh4 Nf3+
 11/11	00:01	      16.950	18.031	+M11	1. ... fxg5+ 2.Kg4 Ne5+ 3.Kh5 g6+ 4.Kxg5
Bxe3+ 5.Rxe3 Ndxf7+ 6.Kf4 g5+ 7.Kf5 Nxh6+ 8.Kxg5 Qxg2+ 9.Rg3 Qxg3+ 10.Kh5 Qg6+
11.Kxh4 Nf3+
Best move: fxg5, Value: +Mate in 11, Depth: 11/11, Time: 00:01,425, 16.950
Nodes, 18.031 N/sec

SelfMate in 11 for White:
-------------------------
FEN: Nb1QN3/1pp1PPp1/1rnn1p1P/1Pkr2B1/P1pRpK1p/2P1P2B/2qb2Pp/4R3 w - -
Search for Special-SelfMate [C1/K2/P2/X2] in 11 ...  (Hash=32MB)
  11	00:00	           0	0	-M11	1.Rxd5+
Search completed ...  (Time=0.05s)
SelfMate in 11 found !  (1 Solution in 00:00)
 11/11	00:00	       2.041	40.820	-M11	1.Rxd5+ Kxd5 2.Qxd6+ cxd6 3.Nxf6+ gxf6
4.Nxb6+ Kc5 5.Nd7+ Kd5 6.Nxf6+ Kc5 7.Nd7+ Kd5 8.Be6+ Kxe6 9.e8Q+ Ne7 10.Qxe7+
Kd5 11.Qxe4+ Qxe4+
Best move: Rxd5, Value: -Mate in 11, Depth: 11/11, Time: 00:00,506, 2.041 Nodes,
40.820 N/sec

SelfMate in 11 for Black:
-------------------------
FEN: Nb1QN3/1pp1PPp1/1rnn1p1P/1Pkr2B1/P1pRpK1p/2P1P2B/2qb2Pp/4R3 b - -
Search for Special-SelfMate [C1/K5/P3/X4] in 11 ...  (Hash=32MB)
  11	00:02	      30.420	39.506	-M11	1. ... fxg5+
Search completed ...  (Time=2.64s)
SelfMate in 11 found !  (1 Solution in 00:02)
 11/11	00:02	     133.157	50.438	-M11	1. ... fxg5+ 2.Kg4 Ne5+ 3.Kxg5 Ndxf7+
4.Kh5 g6+ 5.Kxh4 Bxe1+ 6.g3 Nf3+ 7.Kg4 N7e5+ 8.Kf4 g5+ 9.Kf5 Nf7+ 10.Kg4 Nxh6+
11.Kh5 g4+ 12.Qxd5+
Best move: fxg5, Value: -Mate in 11, Depth: 11/11, Time: 00:03,067, 133.157
Nodes, 50.438 N/sec

Best regards,
Franz.




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