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100 points in a circle, green or yellow, every 5 color changes

Source: Greece JBMO TST 1999

May 25, 2019
combinatoricsColoringnumber theory

Problem Statement

A circle is divided in 100100 equal parts and the points of this division are colored green or yellow, such that when between two points of division A,BA,B there are exactly 44 division points and the point AA is green, then the point BB shall be yellow. Which points are more, the green or the yellow ones?