# Magic Ruler

Author: mathforces
Problem has been solved: 6 times

Русский язык | English Language

You are given a convex $202020$-gon on the plane and a magic ruler which allows you to divide any segment into equal $k$ parts. Find the greatest $k<10^8$ for which, using this magic ruler, you can find the center of mass of the given $202020$-gon.