## Putnam 2010 A1

Given a positive integer , what is the largest such that the numbers can be put into boxes so that the sum of the numbers in each box is the same?

*Putnam 2010 A1*

**Hint:** I think it’s enough to see that must be in one of the boxes, and to make big, the sum in the boxes must be small. Therefore divide into two cases, for odd and even, and the rest is easy.

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Categories: Combinatorics, Olympiad, Problem Solving
olympiad

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