2023 RMO

Revision as of 12:30, 9 December 2024 by Caladrius (talk | contribs) (Problem 5)

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Consider a set of $16$ points arranged in a $4\times4$ square grid formation. Prove that if any $7$ of these points are coloured blue, then there exists an isosceles right-angled triangle whose vertices are all blue.