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No Monochrome Sums (Posted on 2009-10-14) Difficulty: 3 of 5
Color each of the numbers 1 through n either red or blue such that if a+b=c then a, b and c are not all the same color. The addends are distinct.

For example with n=6 the sequence rbrbrb does not work because 2+4=6 but are all blue. Whereas rbrbbr does work.

What is the largest value of n for which such a sequence exists?

Note: Since the colors can be swapped, make the number 1 red.

Add a third color (green.) What is the new maximum value of n?

See The Solution Submitted by Jer    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
C programBrian Smith2009-10-15 15:30:45
re(4): Sloane saysCharlie2009-10-15 14:21:37
re(3): Sloane saysCharlie2009-10-15 12:24:52
re(2): Sloane saysCharlie2009-10-15 12:15:53
re: Sloane saysJer2009-10-15 00:18:25
Some ThoughtsSloane saysBrian Smith2009-10-14 20:59:44
Greens to the Partyed bottemiller2009-10-14 15:13:59
Solutioncomputer solutionCharlie2009-10-14 15:09:47
BRRRRRRRRRRRRRRRR it's cold outed bottemiller2009-10-14 14:46:42
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