Question: Name one algorithm that sorts $n$ keys using comparisons with the preconditions stated for each case below. Then give the running time In case of

Name one algorithm that sorts $n$ keys using comparisons with the preconditions stated for each case below. Then give the running time In case of a tie name the lexicographically first (InsertionSort is first, Odd-even transposition sort is next and SelectionSort is last, HeapSort before MergeSort!)

(a) Name Fastest sorting algorithm that sorts in-place.

(b) For (a) give its running time in as tight asymptotic notation as possible.

(c) Name Fastest sorting algorithm that is stable.

(d) For (c) give its running time in as tight asymptotic notation as possible.

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