perplexus.info :: Numbers : Equal values

Equal values (Posted on 2018-10-01)

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

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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 Subject	Gary Knapp	2020-04-19 03:20:29
No Subject	Rosie Terry	2019-01-31 02:35:43
thematic material	Jack	2018-10-03 07:30:23
soln(?)	Steven Lord	2018-10-01 08:34:46

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