olymmath

ISL 1979 Problem 58

    Prove that there exists a k0∈Nk_0\in\mathbb{N} such that for every k∈N,k>k0k\in\mathbb{N},k>k_0 , there exists a finite number of lines in the plane not all parallel to one of them, that divide the plane exactly in kk regions. Find k0k_0 .

    Dataset text AI-MO AoPS. Quoted with source.

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