MathForces: Math Olympiads
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Obtuser

Author: mathforces
Problem has been solved: 18 times

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Lin drew a regular $ n $ -gon, and Nil selected three distinct vertices. It turned out that the triangle formed by the vertices chosen by the Nil is obtuse. Lin claims that the probability that this could happen is $ \frac{93}{125} $. Find the sum of all possible values of $ n $.





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