Die Schwalbe

1 problem(s) found in 5893 milliseconds (displaying 1 problem(s)). [PROBID='P1243719'] [download as LaTeX]

1 - P1243719
Andrew Buchanan
Richard Stanley

8574 feenschach 144 11-12/2001
P1243719a_1.png
(a: 6+10)
P1243719a_2.png
(a: 6+9)
White to move. A to B in
(1) 5.5
(2) 6.0
(3) 6.5
(4) 7.0
(5) 7.5 etc...
(1,5,9...) 1. g3+ Kh5 2. g4+ Kh6 3. g5+ Kh7 4. fxg6+ Kg8! 5. f5 b1=L+ 6. Kd1!
(2,6,10...) 1. g3+ Kh5 2. g4+ Kh6 3. g5+ Kh7 4. fxg6+ Kh8! 5. f5 b1=L+ 6. Kd1! Kg8
(3,7,11...) 1. g3+ Kh5 2. g4+ Kh6 3. g5+ Kh7 4. fxg6+ Kh8! 5. f5 b1=L+ 6. Kc1! Kg8 7. Kd1
(4,8,12...) 1. g3+ Kh5 2. g4+ Kh6 3. g5+ Kh7 4. fxg6+ Kg8! 5. f5 b1=L+ 6. Kc1! Kh8 7. Kd1 Kg8 etc.
play all play one stop play next play all
The point of the above problem is that it has infinitely many stipulations! Moreover, they are of the form A->B in k single moves, k + 1 single moves, k + 2 single moves... There was an attempt to make k as large as possible (with no solution in less than k single moves). This has the paradoxical effect that it is harder to make a problem which has a smaller set of valid stipulations!
It is much also easier to compose such a problem if the required
number of moves is always the same mod 2: k, k + 2, k + 4...
A.Buchanan: Thanks Francois. I have no idea how to change the diagrams for these A-B problems. There isn't a little pencil to click on in edit mode... (2017-09-12)
Alfred Pfeiffer: Andrew, there is a trick to do this:
1) Go into the edit mode with any other problem;
2) Replace in the command line of the browser the actual probid by that of the A=B-problem
(eg "http://pdb.dieschwalbe.de/edit.jsp?id=P1224189&positions=true" becomes to
"http://pdb.dieschwalbe.de/edit.jsp?id=P1243719&positions=true"), then click ENTER;
3) Edit the position as usual. (2017-09-13)
more ...
comment
Keywords: A to B, Path enumeration
Genre: Retro, Mathematics
FEN: 8/3pP1p1/6p1/5P2/2p2P1k/2p2p2/PpK2pP1/r7
Reprints: www.jacobi.com 30/10/2017
Input: A.Buchanan, 2012-07-01
Last update: A.Buchanan, 2020-01-03 more...
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The problems of this query have been registered by the following contributors:

A.Buchanan (1)