MathDB
Argentina MO 2021 National Level 2 P3

Source:

April 23, 2022
geometryarcslengthscontests

Problem Statement

A circle is divided into 2n2n equal arcs by 2n2n points. Find all n>1n>1 such that these points can be joined in pairs using nn segments, all of different lengths and such that each point is the endpoint of exactly one segment.