IMO 2014 Shortlist N3
A coin is called a Cape Town coin if its value is 1{n for some positive integer n. Given a collection of Cape Town coins...
Category: Number Theory
Problem
A coin is called a Cape Town coin if its value is 1{n for some positive integer n. Given a collection of Cape Town coins of total value at most 99 ` 1 , prove that it is possible to split this collection into at most 100 groups each of total value at most 1. (Luxembourg)