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2017 InIMC keystage2-EMIC team Question 5

xIMC · 2017 InIMC keystage2-EMIC team

Question 5

On the $18\times18$ grid, diagonals are drawn all in the same direction on some of the unit squares. If no two diagonals share a common point, what is the largest number of diagonals that can be drawn? Show a sample pattern where this can be achieved

Question illustration

Question illustration