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IMO2020 Shortlisted Problems with Solutions

IMO2020 Shortlisted Problems with Solutions

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colored white. Prove that there exist 24 convex quadrilaterals Q 1, ..., Q 24 whose corners are vertices of the 100-gon, so that • the quadrilaterals Q 1, ..., Q 24 are pairwise disjoint, and • every quadrilateral Qi has three corners of one color and one corner of the other color. (Austria) C3. Let nbe an integer with ně 2.

  Quadrilaterals

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