IMO 2018 Shortlist C1
Let n ě 3 be an integer. Prove that there exists a set S of 2n positive integers satisfying the following property: For ...
Category: Combinatorics
Problem
Let n ě 3 be an integer. Prove that there exists a set S of 2n positive integers satisfying the following property: For every m “ 2,3,...,n the set S an be partitioned into two subsets with equal sums of elements, with one of subsets of ardinality m. (I eland)