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Teleporting button

Author: mathforces
Problem has been solved: 18 times

Русский язык | English Language

Lin invented a button that can teleport him to any point (on the same plane), at a distance of 1 meter. Lin used the button three times. Let $ \frac{n}{m \cdot 2^k} $ be the probability that he is no more than a meter away from the initial point, where $ (n, m) = 1 $ and $ n, m $ are odd positive integer numbers. Find the number of divisors of the number $ (n + 1) (m + 1) (k + 1) $.

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