Difference between revisions of "2021 IMO Shortlist Problems/C2"
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Revision as of 09:23, 23 June 2023
Problem
Let be an integer. An integer is called -colourful if, given infinitely many marbles in each of colours , it is possible to place of them around a circle so that in any group of consecutive marbles there is at least one marble of colour for each . Prove that there are only finitely many positive integers which are not -colourful. Find the largest among them.