MathDB

7

Part of 2020 Latvia Baltic Way TST

Problems(1)

Old and classical combi

Source: Latvia TST for Baltic Way 2020 P7

10/22/2020
Natural numbers from 11 to 400400 are divided in 100100 disjoint sets. Prove that one of the sets contains three numbers which are lengths of a non-degenerate triangle's sides.
combinatorics