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IMSO 2023 Mathematics – International Essay Question 11

IMSO Maths · IMSO 2023 Mathematics – International Essay

Question 11

Given an 8 × 8 square grid. For each cell, we can draw 1 diagonal, 2 diagonals or nothing. What is the largest possible number of diagonals that we can draw so that no pair of diagonals share their end point? Give the reason and draw the diagram.