olymmath

TUYMAADA 2008 J3

    100 unit squares of an infinite squared plane form a 10×1010\times 10 square. Unit segments forming these squares are coloured in several colours. It is known that the border of every square with sides on grid lines contains segments of at most two colours. (Such square is not necessarily contained in the original 10×1010\times 10 square.) What maximum number of colours may appear in this colouring?

    Author: S. Berlov

    Dataset text AI-MO AoPS. Quoted with source.

    Solutions

    No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

    Add a solution

    Similar problems

    These problems have the most words in common with this statement.

    Locator tuymaada/2008/j3 · Tag 3MPFY47H50 · Edit this page on GitHub · Keys: j next, k previous