TOT 262 1990 Spring A S6 ink-blots on a white paper square
Source:
June 8, 2024
combinatoricscombinatorial geometrygeometry
Problem Statement
There are some ink-blots on a white paper square with side length . The area of each blot is not greater than and every line parallel to any one of the sides of the square intersects no more than one blot. Prove that the total area of the blots is not greater than .(A. Razborov, Moscow)