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

Home > Numbers
Equal values (Posted on 2018-10-01) Difficulty: 2 of 5
Given a positive integer n, what is the largest k such that the numbers 1,2,...,n can be put into k boxes so that the sum of the numbers in each box is the same?

[When n = 8, the example {1,2,3,6},{4,8},{5,7} shows that the largest k is at least 3.]

  Submitted by Ady TZIDON    
No Rating
Solution: (Hide)
For odd n, k=(n+1)/2
For even, k=n/2

Comments: ( You must be logged in to post comments.)
  Subject Author Date
No SubjectRosie Terry2019-01-31 02:35:43
thematic materialJack2018-10-03 07:30:23
soln(?)Steven Lord2018-10-01 08:34:46
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2019 by Animus Pactum Consulting. All rights reserved. Privacy Information