MathDB

3

Part of the 15th XMO

Problems(1)

Combination in XMO

Source: XMO15

4/30/2024
kk is an integer, there exists a triangulation for a regular polygon with 20242024 sides and 20242024 colored dots with kk different colors meeting (1)(1) each color will be used at least once (2)(2) every small triangle will have at least 22 dots that will be in the same color. Try to find the maximum value ofkk
combinationcombinatorics