IMO Shortlist 1999 problem C6


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2. travnja 2012.
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Suppose that every integer has been given one of the colours red, blue, green or yellow. Let x and y be odd integers so that |x| \neq |y|. Show that there are two integers of the same colour whose difference has one of the following values: x,y,x+y or x-y.
Izvor: Međunarodna matematička olimpijada, shortlist 1999