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

Home > Numbers
Sums of squares and stuff. (Posted on 2005-03-26) Difficulty: 3 of 5

Arrange two of each digit (0-9) into a 20 digit long number, which does not begin with a zero, then score your number as follows:

For every 2 digit sequence that forms a perfect square score 2 points, for every 3 digit sequence that forms a perfect square score 3 points. A four digit square would score 4 points, and so on.

For example, if your number was 58738219024971503664, then you would score 2 points each for 49, 36, and 64 and 6 points for 219024 giving a total of 12 points. You may not count 036 as a three digit square.

What is the maximum number of points you can score?

See The Solution Submitted by Erik O.    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
re: 67 can be topped... | Comment 8 of 16 |
(In reply to 67 can be topped... by Hugo)

I looked at all the other posts in the list and no one had more than 67.  I didn't look carefully at the numbers.

How embarrasing that we both made mistakes counting the squares.  (I used an excell sheet on each of the pan-digital squares, but it didn't look for the last digit*100)

I can claim some credit, Hugo!

-Jer

 


  Posted by Jer on 2005-03-28 19:13:15
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 (9)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information