IMO 2020 Shortlist C6
4n coins of weights 1,2,3,...,4n are given. Each coin is colored in one of n colors and there are four coins of each col...
Category: Combinatorics
Problem
4n coins of weights 1,2,3,...,4n are given. Each coin is colored in one of n colors and there are four coins of each color. Show that all these coins can be partitioned into two sets with the same total weight, such that each set contains two coins of each color. (Hungary) Shortlisted problems 7