MathDB
Colourful Queens

Source: 2020 RMM Shortlist C3

October 8, 2022
combinatoricsChessboardRMMRMM 2020RMM Shortlist

Problem Statement

Determine the smallest positive integer kk{} satisfying the following condition: For any configuration of chess queens on a 100×100100 \times 100 chequered board, the queens can be coloured one of kk colours so that no two queens of the same colour attack each other.
Russia, Sergei Avgustinovich and Dmitry Khramtsov