TOT 323 1992 Spring O J4 circle is divided into 7 arcs.
Source:
June 9, 2024
combinatoricscombinatorial geometry
Problem Statement
A circle is divided into arcs. The sum of the angles subtending any two neighbouring arcs is no more than . Find the maximal number such that any of the arcs is subtended by no less than . Prove that this value is really maximal.(A. Tolpygo, Kiev)