All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
Square pairs (Posted on 2005-01-09) Difficulty: 3 of 5
Back in An Arrangement of 15 you were asked to place the numbers 1 to 15 in a line so that any two adjacent numbers summed to a square number.

Now, try to arrange the numbers from 1 to 32 in a circle, so any two adjacent numbers again sum a square number.

See The Solution Submitted by e.g.    
Rating: 4.3333 (12 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Solution, by hand | Comment 4 of 12 |
22, 27, 9, 16, 20, 29, 7, 18, 31, 5, 11, 25, 24, 12, 13, 3, 6, 30, 19, 17, 32, 4, 21, 28, 8, 1, 15, 10, 26, 23, 2, 14.
I started, like Larry, with subsequences, they can be joined to form the above solution, from 22 till 5, the rest is done by just trying all solutions.
  Posted by Hugo on 2005-01-09 20:07:28
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information