ASU 208 All Soviet Union MO 1975 rectangle inside a 7x7 square table
Source:
July 5, 2019
rectanglecombinatorial geometrycombinatoricsmaximumtable
Problem Statement
a) Given a big square consisting of squares. You should mark the centres of points in such a way, that no quadruple of the marked points will be the vertices of a rectangle with the sides parallel to the sides of the given squares. What is the greatest such that the problem has solution? b) The same problem for square.