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MathNet 2010 — Part 01 Question 24

Math Olympiad Vault · MathNet 2010 — Part 01

Question 24

A rectangular sheet of grid paper with dimensions $59 \times 133$ must be divided into a maximum number of pieces by making two cuts. Before cutting it is allowed to fold the sheet along grid lines as many times as desired. The folded sheet is placed on the table and then cut twice along grid lines that are visible after the folding. What maximum number of pieces can be obtained in this way?