IMO 2022 Shortlist A2

Let k ě 2 be an integer. Find the smallest integer n ě k 1 with the property that there exists a set of n distinct real ...

IMO 2022 Shortlist A2

Category: Algebra

Problem

Let k ě 2 be an integer. Find the smallest integer n ě k ` 1 with the property that there exists a set of n distinct real numbers such that each of its elements can be written as a sum of k other distinct elements of the set. (Slovakia)