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RMO 2018 K4

  • Kerala and Tamil Nadu

Suppose 100100 points in the plane are coloured using two colours, red and white such that each red point is the centre of circle passing through at least three white points. What is the least possible number of white points?

Dataset text AI-MO AoPS. Quoted with source.

Official text: Indian Regional Mathematical Olympiad 2018 official paper, page 2.

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