In this exercise, we assume that someone is trying to prove correctness of Selection Sort by claiming that the loop invariant of Insertion Sort also applies to it. Explain in full details why the loop invariant for Insertion Sort fails to prove correctness for Selection Sort. In doing so, you will track down the proof of the \assumed" loop invariant up to the point where the proof fails to justify a specic step in the operations of Selection Sort. Identify specically what that step of Selection Sort is and why the inductive proof of the \assumed" loop invariant fails to justify that step

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