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IT-CESENATICO 1985 Problem 4

    A small square is constructed inside a square of area 1 by dividing each side of the unit square into nn equal parts, and then connecting the vertices to the division points closest to the opposite vertices. Find the value of nn if the the area of the small square is exactly 1/1985.

    1/n1/n

    Dataset text AI-MO AoPS. Quoted with source.

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