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IR-MO 2004 Problem 7

    Suppose FF is a polygon with lattice vertices and sides parralell to x-axis and y-axis.Suppose S(F),P(F)S(F),P(F) are area and perimeter of FF . Find the smallest k that: S(F)≤k.P(F)2S(F) \leq k.P(F)^2

    Dataset text AI-MO AoPS. Quoted with source.

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