Question: 3. [Random Pivot and Quick Sort] - Show that quick sort can be made to run O(n log n)time in the worst-case. Assume that all

3. [Random Pivot and Quick Sort] - Show that quick sort can be made to run O(n log n)time in the worst-case. Assume that all elements are distinct.

a) Write your algorithm that run quick sort can be made to run O(n log n)time

b) Write the recurrence that shows the running time of your algorithm in (a) above

c) Briefly explain (no need to prove) how your recurrence records O(n log n)time in worst-case

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