What fixes need to be made in the code to guarantee

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Question: Suppose we exchange elements a[i] and a[i+k], which were originally out of order. Prove that at least 1 and at most 2k-1 inversions are removed.
quicksort(use image below):

For the quicksort implementation in the image below, what is the running time when all keys are equal
Suppose we change the partitioning strategy so that neither i nor j stops when an element with the same key as the pivot is found. What fixes need to be made in the code to guarantee that quicksort works, and what is the running time, when all keys are equal.

Reference no: EM133482250

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