each of numbers 1-2014 colored red and blue, half each, max sum 2 balls
Source: Dutch IMO TST 2015 day 2 p4
August 30, 2019
maximum valuemaximumcombinatoricsSumColoring
Problem Statement
Each of the numbers up to and including has to be coloured; half of them have to be coloured red the other half blue. Then you consider the number of positive integers that are expressible as the sum of a red and a blue number. Determine the maximum value of that can be obtained.