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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)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: smallest Comment 5 of 5 |
(In reply to smallest by Joel)

nice work, joel!
  Posted by Steve Herman on 2006-12-06 14:02:47

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