Question: Consider the following recursive sorting algorithm: OVERLAPSORT(A[1,,n]) : if n=2 if A[1]>A[2] swap A[1] and A[2] else if n>2 OVERLAPSORT (A[1,,n1]) OVERLAPSORT(A[2,,n]) OVERLAPSORT (A[1,,n1]) Prove

Consider the following recursive sorting algorithm: OVERLAPSORT(A[1,,n]) : if n=2 if

Consider the following recursive sorting algorithm: OVERLAPSORT(A[1,,n]) : if n=2 if A[1]>A[2] swap A[1] and A[2] else if n>2 OVERLAPSORT (A[1,,n1]) OVERLAPSORT(A[2,,n]) OVERLAPSORT (A[1,,n1]) Prove using induction the correctness of the above algorithm (Hint: how does the largest element get moved around?)

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