MathDB
Arcs with equal lengths on a circle, again

Source: Turkey TST 2022 P5 Day 2

March 13, 2022
combinatoricscombinatorics proposed

Problem Statement

On a circle, 2022 points are chosen such that distance between two adjacent points is always the same. There are kk arcs, each having endpoints on chosen points, with different lengths. Arcs do not contain each other. What is the maximum possible number of kk?