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max n ,tangent of each interior angle in convex n-gon is an integer.

Source: China Northern MO 2013 p1 CNMO

November 25, 2022
combinatoricscombinatorial geometryconvex polygon

Problem Statement

Find the largest positive integer nn (n≥3n \ge 3), so that there is a convex nn-gon, the tangent of each interior angle is an integer.
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