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How big the maximal decrease in consecutive elements of a sequence?
Consider a sequence $(s_1, ..., s_k)$, and we have it sorted in decreasing order $(\tilde{s}_1, ..., \tilde{s}_k)= (\sigma(s_1), ..., \sigma(s_k))$.
Define $k_{\max} = \max \left( \max_i \left( s_i ...
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