MathDB
IMO LongList 1967, Socialists Republic Of Czechoslovakia 5

Source: IMO LongList 1967, Socialists Republic Of Czechoslovakia 5

December 16, 2004
countingtriangle inequalitycombinatoricsTriangleIMO ShortlistIMO Longlist

Problem Statement

Let nn be a positive integer. Find the maximal number of non-congruent triangles whose sides lengths are integers n.\leq n.