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4) (6 points) The worst-case behavior for QuickSort occurs when partitioning based on the pivot produces one subproblem with n-1 elements, the pivot, and one

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4) (6 points) The worst-case behavior for QuickSort occurs when partitioning based on the pivot produces one subproblem with n-1 elements, the pivot, and one subproblem with 0 elements Assume that this unbalanced partitioning arises in each recursive call. Partitioning costs O(n) time. Since the recursive call on an array of size 0 just returns, T(0-0(1), and the recurrence for the running time of QuickSort when this happens is: Use the Substitution Method (not any other approach) to prove that the solution to this recurrence is T(n) 0(n

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