Distance problem(KgNM2011)
Source:
April 20, 2011
geometryceiling functioninequalitiescombinatorics unsolvedcombinatorics
Problem Statement
a) Among the pairwise distances between the points of the plane, prove that one and the same number occurs not more than times.b) Find a maximum number of times may meet the same number among the pairwise distances between points of the plane.