# Difference between revisions of "2006 USAMO Problems/Problem 2"

## Problem

For a given positive integer $\displaystyle k$ find, in terms of $\displaystyle k$, the minimum value of $\displaystyle N$ for which there is a set of $\displaystyle 2k+1$ distinct positive integers that has sum greater than $\displaystyle N$ but every subset of size $\displaystyle k$ has sum at most $\displaystyle N/2$.