HMMT 2006 S3
- Team 2
Prove that, given any formation, each mobot may be colored in one of three colors - say, white, black, and blue - such that no two adjacent clumps of grass are mowed by different mobots of the same color. Two clumps of grass are adjacent if the distance between them is 1 . In your proof, you may use the Four-Color Theorem if you're familiar with it.
Dataset text NuminaMath olympiads. Quoted with source.
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