RU-SPB 2021 Problem 105
- Grade 10
The vertices of a convex -gon are colored black and white as follows: black, white, two black, two white, three black, three white, ..., 50 black, 50 white. Dania divides the polygon into quadrilaterals with diagonals that have no common points. Prove that there exists a quadrilateral among these, in which two adjacent vertices are black and the other two are white.
D. Rudenko
Dataset text AI-MO AoPS. Quoted with source.
Solutions
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