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the algorithmic problem of ordering a set of elements with respect to some ordering relation.

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Proving an algorithm must have the lowest time complexity for sorting in the worst case

I'm curious if anything like this has been proved, or is even possible to prove a statement like: "Out of all sorting algorithms, this one has the lowest time complexity for the worst-case." … Or stated more specifically, the statement could look like: "Quicksort has the lowest time complexity for worst case of all sorting algorithms because X, Y, Z" …
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