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MathNet 2016-part-07 — 182 problems (EN–VI) Question 136

Math Olympiad Vault · MathNet 2016-part-07 — 182 problems (EN–VI)

Question 136

Determine the number of triples $0 \leq k, m, n \leq 100$ of integers such that
$$
2^{m} n - 2^{n} m = 2^{k}
$$