MathDB
marking points on a circle, venn configuration

Source: Yugoslav TST 1979 P3

May 30, 2021
geometrycombinatorics

Problem Statement

There are two circles of perimeter 19791979. Let 19791979 points be marked on the first circle, and several arcs with the total length of 11 on the second. Show that it is possible to place the second circle onto the first in such a way that none of the marked points is covered by a marked arc.