Ponder This

January 2005

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Ponder This Challenge:

Puzzle for January 2005

Our New Years puzzle was submitted by John G. Fletcher,
who heard it from Marc Roth.

A necklace is made up of 35 beads forming a closed loop, each bead being of one of 7 distinct colors. Find an arrangement for the beads such that every one of the 35 combinations of the 7 colors taken 3 at a time (i.e. each triple of different colors) occurs exactly once as a set of 3 consecutive beads.

The first 100 people who answer correctly will be listed. The answer will be posted a week after the 100th is received, or at the end of the month.

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: 01/04/2005 @ 08:30 AM EST
Solution: 01/24/2005 @ 02:00 PM EST
List Updated: 01/24/2005 @ 08:30 AM EST

People who answered correctly:

Patrick J. LoPresti (01.04.2005 @09:53:17 AM EDT)
Hagen von Eitzen (01.04.2005 @11:26:04 AM EDT)
Amin Ahmad (01.04.2005 @12:17:53 PM EDT)
Sonny Kunnakkat (01.04.2005 @12:48:56 PM EDT)
Daniel Bitin (01.04.2005 @01:00:46 PM EDT)
David Friedman (01.04.2005 @01:38:16 PM EDT)
Eugene Vasilchenko (01.04.2005 @02:37:42 PM EDT)
Brad Austin (01.04.2005 @04:21:54 PM EDT)
Alan O'Donnell (01.04.2005 @04:40:38 PM EDT)
Andreas Kabel (01.04.2005 @05:01:23 PM EDT)
Allan Lazarovici (01.04.2005 @06:06:30 PM EDT)
Jeff Shute (01.04.2005 @06:42:13 PM EDT)
Johannes Schindelin (01.04.2005 @07:36:14 PM EDT)
Emile Joubert (01.04.2005 @08:10:42 PM EDT)
Praveen Kumar J (01.04.2005 @08:54:49 PM EDT)
Seung Jun (01.04.2005 @09:06:27 PM EDT)
Leonardo Liang (01.05.2005 @01:40:22 AM EDT)
Daniel Chong Jyh Tar (01.05.2005 @01:58:07 AM EDT)
Dion K Harmon (01.05.2005 @03:07:03 AM EDT)
Victor Chang (01.05.2005 @05:08:49 AM EDT)
IQSTAR (01.05.2005 @05:20:06 AM EDT)
Jose H. Nieto (01.05.2005 @05:37:32 AM EDT)
Raicho Tchalkov (01.05.2005 @07:03:31 AM EDT)
Yong Liu (01.05.2005 @09:21:06 AM EDT)
Faron Moller (01.05.2005 @11:00:55 AM EDT)
Antonio Manuel Gutiérrez Fernández (01.05.2005 @12:27:45 PM EDT)
Ken Duisenberg (01.05.2005 @02:05:54 PM EDT)
Pascal Brisset (01.05.2005 @02:38:28 PM EDT)
Alexander Navernyuk (01.05.2005 @03:05:25 PM EDT)
Ken Crounse (01.05.2005 @05:37:15 PM EDT)
Dennis Langdeau (01.05.2005 @07:15:15 PM EDT)
Jaume Simon Gispert (01.05.2005 @07:47:05 PM EDT)
Oskar Sigvardsson (01.06.2005 @12:19:43 AM EDT)
Max Alekseyev (01.06.2005 @01:30:50 AM EDT)
Aditya K. Prasad (01.06.2005 @02:50:49 AM EDT)
John Hart (01.06.2005 @03:06:29 AM EDT)
Dharmadeep Muppalla (01.06.2005 @03:56:12 AM EDT)
Mikhail Barrett (01.06.2005 @04:55:36 AM EDT)
Gary M Gerken (01.06.2005 @05:04:11 AM EDT)
Francis Golding (01.06.2005 @07:22:46 AM EDT)
Bert Fischer (01.06.2005 @08:09:22 AM EDT)
Peter Petrov (01.06.2005 @09:09:44 AM EDT)
John Tromp (01.06.2005 @10:35:23 AM EDT)
Ari (01.06.2005 @11:39:00 AM EDT)
Rob Pratt (01.06.2005 @01:05:45 PM EDT)
Mike Rousse (01.06.2005 @02:03:34 PM EDT)
Sean Henderson (01.06.2005 @07:06:03 PM EDT)
Rustam Miftakhutdinov (01.06.2005 @11:31:56 PM EDT)
James Dow Allen (01.07.2005 @04:09:28 AM EDT)
Mocanu Cristian (01.07.2005 @09:26:01 AM EDT)
Roger Duthie (01.07.2005 @02:34:05 PM EDT)
Alexandru Sofronia (01.07.2005 @03:07:34 PM EDT)
Leonid A Broukhis (01.07.2005 @05:51:57 PM EDT)
Scott Hotes (01.08.2005 @02:30:43 AM EDT)
Jinhong Kim (01.08.2005 @11:15:54 AM EDT)
Andrew Scherbakov (01.08.2005 @12:15:21 PM EDT)
Jack Rouse (01.08.2005 @07:21:31 PM EDT)
Alex Tikhonov (01.08.2005 @11:25:54 PM EDT)
Rico Blaser (01.09.2005 @02:59:33 AM EDT)
Dinesh Layek (01.09.2005 @05:27:34 AM EDT)
Bhaskara Aditya (01.09.2005 @06:22:51 AM EDT)
Ajay Reddy Mallepally Mallepally (01.09.2005 @08:52:04 AM EDT)
Dmitry Litvinenko (01.09.2005 @09:02:11 AM EDT)
Fred Youhanaie (01.09.2005 @05:30:44 PM EDT)
Wolfgang Kais (01.10.2005 @01:18:04 AM EDT)
Luke Pebody (01.10.2005 @07:23:44 AM EDT)
Brian Schroeder (01.10.2005 @09:13:41 AM EDT)
Visegrady Tamas (01.11.2005 @07:06:47 PM EDT)
Kim Se Kwon (01.11.2005 @10:50:56 PM EDT)
Aditya Kamat (01.12.2005 @01:44:06 AM EDT)
Robert Trimble (01.12.2005 @03:57:30 AM EDT)
Clive Tong (01.12.2005 @04:31:47 AM EDT)
Harish J P (01.12.2005 @07:35:17 AM EDT)
Joe BGI SF Fendel (01.12.2005 @12:07:16 PM EDT)
Sergey Povetkin (01.12.2005 @12:28:06 PM EDT)
Divyesh Dixit (01.12.2005 @01:00:00 PM EDT)
Daniel Carrapa (01.12.2005 @06:05:29 PM EDT)
Sumanth Jagannath (01.13.2005 @12:24:36 AM EDT)
Vineet Dwivedi (01.13.2005 @01:30:14 AM EDT)
Arup Salui (01.13.2005 @07:52:27 AM EDT)
Pratik P Dixit (01.13.2005 @12:52:16 PM EDT)
Dan Dima (01.13.2005 @12:55:00 PM EDT)
Ernst Munter (01.13.2005 @01:18:26 PM EDT)
Praveen Jain (01.14.2005 @03:31:14 AM EDT)
Kalyana Chakravarthy (01.14.2005 @11:29:18 AM EDT)
Adel El-Atawy (01.15.2005 @03:56:23 AM EDT)
Philippe Fondanaiche (01.15.2005 @10:14:49 AM EDT)
Paul Sonier (01.15.2005 @07:49:03 PM EDT)
Steffen Wolf (01.15.2005 @08:29:31 PM EDT)
Igor Malashkin (01.17.2005 @02:54:22 AM EDT)
Alexey Vorobyov (01.17.2005 @09:14:42 PM EDT)
Kapil K Jain (01.18.2005 @12:57:34 AM EDT)
BlueFrog (01.18.2005 @09:09:24 AM EDT)
Tom Rokicki (01.18.2005 @02:10:27 PM EDT)
Lucas Sidiropoulos (01.18.2005 @03:02:11 PM EDT)
Siva Dirisala (01.18.2005 @03:22:32 PM EDT)
Mihai Cioc (01.20.2005 @12:19:45 PM EDT)
Bart De Vylder (01.20.2005 @06:30:53 PM EDT)
Robert Danek (01.21.2005 @07:51:49 PM EDT)
Catalin Buzoiu (01.22.2005 @09:04:11 AM EDT)
Naftali Spiegel (01.23.2005 @02:23:44 AM EDT)

Attention: If your name is posted here and you wish it removed please send email to the ponder@il.ibm.com.