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Question 6 [10 points) Suppose Mergesort routine is applied on the following input arrays: 5, 3, 8, 9, 1, 7, 0, 2, 6, 4. Fast

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Question 6 [10 points) Suppose Mergesort routine is applied on the following input arrays: 5, 3, 8, 9, 1, 7, 0, 2, 6, 4. Fast forward to the moment after the two outermost recursive calls complete, but before the final Merge step. Thinking of the two 5-element output arrays of the recursive calls as a glued-together 10-element array, which number is the 7th position? Question 6 (20 points) Define the recursive depth of Quicksort as the maximum number of successive recursive calls it makes before hitting the base case - equivalently, the largest level of its recursion tree. In randomized Quicksort, the recursion depth is a random variable, depending on the pivots chosen. What is the maximum and minimum possible recursion depths of randomized Quicksort (in Big-Oh notation)

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