NL-BXMO-TST 2011 Problem 1
All positive integers are coloured either red or green, such that the following conditions are satisfi ed:
- There are equally many red as green integers.
- The sum of three (not necessarily distinct) red integers is red.
- The sum of three (not necessarily distinct) green integers is green. Find all colourings that satisfy these conditions.
Dataset text AI-MO AoPS. Quoted with source.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
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