Question: Consider a new Quick Sort algorithm where the pivot x is generated at random. In particular, with probability 0.5, x is the median; with probability

Consider a new Quick Sort algorithm where the pivot x is generated at random. In particular, with probability 0.5, x is the median; with probability 0.5, x is the minimum..

(a) Given a recurrence formula T(n) of the expected running time of the algorithm.

(b) Proof T(n) = O(n log n) by the substitute method

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