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MathNet 2018-part-02 — 181 problems (EN–VI) Question 128

Math Olympiad Vault · MathNet 2018-part-02 — 181 problems (EN–VI)

Question 128

A rectangular grid whose side lengths are integers greater than 1 is given. Smaller rectangles with area equal to an odd integer and length of each side equal to an integer greater than 1 are cut out one by one. Finally one single unit square is left. Find the least possible area of the initial grid before the cuttings.