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Equality? Yes, but not exactly... (Posted on 2017-03-14) Difficulty: 3 of 5
Let's call two integers approximately equal if they differ by at most 1.
How many different ways are there to write 2017 as a sum of two or more positive integers which are all approximately equal to each other?

The order of terms does not matter: two ways which only differ in the order of terms are counted as one.

  Submitted by Ady TZIDON    
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Solution: (Hide)
There are 2016 ways to do it.

Detailed explanation @ Brian Smith's comment.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolutionBrian Smith2017-03-14 11:03:31
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