MathDB
Triangle side set

Source: Mexico National Olympiad 2017, Problem 4

November 7, 2017
algebracombinatoricstriangle inequality

Problem Statement

A subset BB of {1,2,,2017}\{1, 2, \dots, 2017\} is said to have property TT if any three elements of BB are the sides of a nondegenerate triangle. Find the maximum number of elements that a set with property TT may contain.