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Colourful set (Posted on 2006-12-06) Difficulty: 3 of 5
Find the smallest integer n for which the following is possible:

Consider a set of positive integers {1,2...n}. Each number is painted with either red or blue paint, but no matter which numbers have which color, you can always find four (not necessarily different) numbers x, y, z and w that are coloured with the same paint and satisfy x+y+z=w.

No Solution Yet Submitted by atheron    
Rating: 4.2500 (4 votes)

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  Subject Author Date
re: smallestSteve Herman2006-12-06 14:02:47
SolutionsmallestJoel2006-12-06 13:40:12
Even smaller answerSteve Herman2006-12-06 13:02:24
SolutionSmaller answerOld Original Oskar!2006-12-06 11:45:50
SolutionMy solutione.g.2006-12-06 11:17:47
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