3n points on a circuference, n arcs of lenght 1, no of length 2, n of lengths 3
Source: IMAC Arhimede 2012 p5
May 6, 2019
combinatoricscombinatorial geometryarccircle
Problem Statement
On the circumference of a circle, there are colored points that divide the circle on arches, of which have lenght , of which have length and the rest of them have length . Prove that there are two colored points on the same diameter of the circle.