Computers and Technology, 05.05.2020 13:56, Alphonse8472

With probability 1/2 the pivot selected will be between n/2 and 3n/4 (i. e. a good pivot). Also with probability 1/2 the pivot selected will be between 1 and n/4 or between 3n/4 and n (i. e. a bad pivot). (1 points) 1. State a recurrence that expresses the worst case for bad pivots.

Required:
a. State a recurrence that expresses the worst case for bad pivots.
b. State a recurrence that expresses the worst case for good pivots.
c. State a recurrence that expresses the expected worst case by combining the first two recurrences.
d. Prove by induction that your recurrence is in O(nlog n).

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With probability 1/2 the pivot selected will be between n/2 and 3n/4 (i. e. a good pivot). Also with...