Removing any element:Separated into 2 subsets with same sum
Source: Bulgarian MO 2003: P4
May 22, 2014
combinatorics unsolvedcombinatorics
Problem Statement
A set of positive integers is called uniform if, after any of its elements removed, the remaining ones can be partitioned into two subsets with equal sum of their elements. Find the least positive integer such that there exist a uniform set with elements.