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MathNet 2021 — Part 08 Question 47

Math Olympiad Vault · MathNet 2021 — Part 08

Question 47

Veronika has a sheet of squared paper containing $78\times78$ cells. She wants to cut it into smaller pieces, each containing either $14$ or $15$ cells. In each cut, she cuts one existing piece into two along one of the grid lines. What is the smallest possible number of cuts?