About cookies on this site Our websites require some cookies to function properly (required). In addition, other cookies may be used with your consent to analyze site usage, improve the user experience and for advertising. For more information, please review your options. By visiting our website, you agree to our processing of information as described in IBM’sprivacy statement. To provide a smooth navigation, your cookie preferences will be shared across the IBM web domains listed here.
July 2019 - Challenge
This month's challenge is by Hugo Pfoertner. (Thanks!)
A non-intersecting knight's cycle is a closed tour made of legal moves of a chess knight on a rectangular board of size mXn, such that the straight lines connecting consecutively visited fields make a simple polygon of an enclosed area A.
Find two non-intersecting knight's cycles of length 14 on boards of size such that the difference between their areas is at least 7.
As an example, there are two non-intersecting knight's cycles of length 4 on boards of size such that the difference between their areas is 1:
The first has an area of 3 on 4x4 board: a1 c2 d4 b3 a1
and the second has an area of 4 on 3x5 board: c1 e2 c3 a2 c1.
Submit your solution as two lines of 15 visited fields (start=end) using algebraic chess notation as we used above.
We will post the names of those who submit a correct, original solution! If you don't want your name posted then please include such a statement in your submission!
We invite visitors to our website to submit an elegant solution. Send your submission to the ponder@il.ibm.com.
If you have any problems you think we might enjoy, please send them in. All replies should be sent to: ponder@il.ibm.com
Challenge:
28/06/2019 @ 12:00 PM EST
Solution:
03/08/2019 @ 12:00 PM EST
List Updated:
05/08/2019 @ 12:00 PM EST
People who answered correctly:
Bert Dobbelaere (30/06/2019 05:02 PM IDT)
Daniel Chong Jyh Tar (30/06/2019 07:45 PM IDT)
Thomas HUET (30/06/2019 08:11 PM IDT)
Deron Stewart (30/06/2019 08:12 PM IDT)
Kang Jin Cho (30/06/2019 09:06 PM IDT)
Todd Will (01/07/2019 12:02 AM IDT)
Alper Halbutogullari (01/07/2019 12:39 AM IDT)
Florian Fischer (01/07/2019 12:54 AM IDT)
Reiner Martin (01/07/2019 01:46 AM IDT)
Gary M. Gerken (01/07/2019 03:15 AM IDT)
Muhammed Halbutogullari (01/07/2019 11:40 AM IDT)
Jingran Lin (01/07/2019 11:47 PM IDT)
Siegmar Szlavik (01/07/2019 11:54 PM IDT)
Calvin Pozderac (02/07/2019 01:22 AM IDT)
Rogerio Ponce da Silva (02/07/2019 10:00 AM IDT)
Kevin Bauer (02/07/2019 04:03 PM IDT)
Guillaume Escamocher (02/07/2019 04:07 PM IDT)
George Wahid (02/07/2019 04:12 PM IDT)
Nico Elayda (02/07/2019 09:46 PM IDT)
Mark Mammel (02/07/2019 10:19 PM IDT)
Daniel Bitin (02/07/2019 11:56 PM IDT)
Eden Saig (03/07/2019 09:40 AM IDT)
Vladimir Volevich (03/07/2019 01:01 PM IDT)
Haye Chan (03/07/2019 03:04 PM IDT)
Victor Chang (03/07/2019 06:59 PM IDT)
Stanislav Grudnitskiy (04/07/2019 12:46 AM IDT)
Nigel Brumpton (04/07/2019 01:07 AM IDT)
Jordan Rinder (04/07/2019 04:29 AM IDT)
Chris Shannon (04/07/2019 07:52 AM IDT)
Mathias Schenker (04/07/2019 09:33 AM IDT)
James Dow Allen (04/07/2019 05:18 PM IDT)
Alex Fleischer (04/07/2019 06:40 PM IDT)
Jeffrey Roh (04/07/2019 09:04 PM IDT)
Muralidhar Seshadri (05/07/2019 10:16 PM IDT)
Adrienne Stanley (06/07/2019 12:32 AM IDT)
Pål Hermunn Johansen (06/07/2019 01:56 AM IDT)
JJ Rabeyrin This IBM (06/07/2019 03:31 AM IDT)
Keith Kaplan (06/07/2019 05:23 AM IDT)
Tom Chen (06/07/2019 12:06 PM IDT)
Graham Hemsley (06/07/2019 12:58 PM IDT)
Andrew Lee (06/07/2019 03:22 PM IDT)
Jimmy Waters (06/07/2019 06:23 PM IDT)
Lorenz Reichel (06/07/2019 11:33 PM IDT)
Nyles Heise (06/07/2019 11:51 PM IDT)
Min Jung Kim (07/07/2019 06:59 PM IDT)
Joonsoo Lee (07/07/2019 08:15 PM IDT)
Francisco Couzo (08/07/2019 03:59 AM IDT)
John Goh Choo Ern (08/07/2019 08:41 AM IDT)
Andreas Stiller (08/07/2019 03:08 PM IDT)
Michael Liepelt (08/07/2019 08:30 PM IDT)
Evert van Dijken (08/07/2019 09:05 PM IDT)
Karl D’Souza (09/07/2019 03:24 AM IDT)
Ralf Jonas (09/07/2019 09:54 AM IDT)
Amos Guler (09/07/2019 03:53 PM IDT)
Jiho Lee (09/07/2019 07:04 PM IDT)
Gert H. Schlenker (10/07/2019 01:43 PM IDT)
Clive Tong (10/07/2019 02:33 PM IDT)
Marco Bellocchi (10/07/2019 04:48 PM IDT)
Dieter Beckerle (11/07/2019 05:29 AM IDT)
Harald Bögeholz (11/07/2019 11:57 AM IDT)
Larry Kearney (13/07/2019 02:20 AM IDT)
Keith Schneider (14/07/2019 02:30 AM IDT)
Fabio Michele Negroni (14/07/2019 09:23 AM IDT)
Robert Lang (14/07/2019 01:30 PM IDT)
John Tromp (14/07/2019 03:28 PM IDT)
Kristian Kiradjiev (15/07/2019 01:55 AM IDT)
Reda Kebbaj (15/07/2019 03:16 AM IDT)
Sri Mallikarjun J (15/07/2019 06:20 AM IDT)
Christian Pfaffenzeller (16/07/2019 12:40 PM IDT)
David Friedman (17/07/2019 06:43 AM IDT)
Vincent Beaud (17/07/2019 04:04 PM IDT)
Charles Joscelyne (17/07/2019 06:08 PM IDT)
Bin Liu (17/07/2019 07:07 PM IDT)
Wolfgang Glas (18/07/2019 04:35 PM IDT)
Nis Jørgensen (19/07/2019 03:00 PM IDT)
Erik Wünstel (19/07/2019 03:59 PM IDT)
Tom Harley (20/07/2019 07:35 PM IDT)
David Greer (20/07/2019 09:24 PM IDT)
Andy Greig (21/07/2019 06:06 PM IDT)
Bryce Fore (21/07/2019 09:12 PM IDT)
Jacoby Jaeger (22/07/2019 07:21 AM IDT)
Rustam Salikhov (22/07/2019 11:21 AM IDT)
Tom Sirgedas (23/07/2019 01:48 AM IDT)
Sanandan Swaminathan (23/07/2019 10:11 AM IDT)
Doug Miller (27/07/2019 07:17 AM IDT)
Oscar Volpatti (27/07/2019 04:33 PM IDT)
Motty Porat (27/07/2019 10:55 PM IDT)
Albert Stadler (29/07/2019 06:36 PM IDT)
Anna Silenchuk (30/07/2019 03:40 PM IDT)
Michael Čermák (31/07/2019 12:00 AM IDT)
Xiao Liu (31/07/2019 09:41 AM IDT)
Radu-Alexandru Todor (01/08/2019 02:26 AM IDT)
Armin Krauss (01/08/2019 05:27 PM IDT)
Shouky Dan & Tamir Ganor (04/08/2019 03:53 PM IDT)
Li Li (05/08/2019 07:49 AM IDT)