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Dec 13, 2014 at 21:40 vote accept Vandermonde
Dec 13, 2014 at 21:23 comment added Vandermonde I liked all these views, and in some sense the one above this one is my favorite. Still I've decided to accept this one since it helped me diagnose the problem (I had thought of the allowable range being bounded but not quantitatively on the same footing as $n$, and radix-sort queries and comparisons are the same except how they really aren't). Thanks again for all your answers.
Dec 13, 2014 at 9:23 comment added Pseudonym If keys repeat, then comparison-based sorting can be more efficient, too. The theoretical complexity of comparison-based sorting is $O(nH)$ where $H$ is the zero-order entropy of the sort keys. If the keys are distinct, $H = \log n$, but if they are not, $H < \log n$.
Dec 12, 2014 at 1:59 history answered Yuval Filmus CC BY-SA 3.0