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min no to colour 1,2,...,2013 such a,b same color & ab not multiple of 2014

Source: INAMO Shortlist 2014 C2

July 13, 2019
combinatoricsColoring

Problem Statement

Show that the smallest number of colors that is needed for coloring numbers 1,2,...,20131, 2,..., 2013 so that for every two number a,ba, b which is the same color, abab is not a multiple of 20142014, is 33 colors.
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