IMO 2020 Shortlist A7

Let n and k be positive integers. Prove that for a1,...,an P r1,2k s one has n ÿ i“1 ai a a2 1 ... a2 i ď 4 ? kn. (Iran)

IMO 2020 Shortlist A7

Category: Algebra

Problem

Let n and k be positive integers. Prove that for a1,...,an P r1,2k s one has n ÿ i“1 ai a a2 1 ... a2 i ď 4 ? kn. (Iran)