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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" …