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Part of 2019 Puerto Rico Team Selection Test

Problems(1)

square divides into 25 unit squares Puerto Rico TST 2019.1

Source:

9/16/2021
A square is divided into 2525 unit squares by drawing lines parallel to the sides of the square. Some diagonals of unit squares are drawn from such that two diagonals do not share points. What is the maximum number diagonals that can be drawn with this property?
combinatoricscombinatorial geometrySquares