CPSC 411: Quiz 2
September 4, 2008

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REFER TO MASTER THEOREM WRITTEN ON THE BOARD.

1. (2 pts) What is the divide and conquer paradigm?

2. (2 pts) If the pivots are chosen in quicksort so that the array is split exactly in half at each recursive step, then the recurrence describing the running time is T(n) = 2T(n/2) + n. Use the master theorem to come up with a closed form formula for T(n). Show your work.

3. (1 pt) In the worst case of quicksort, the pivot elements are chosen so that the recurrence describing the running time is T(n) = T(n-1) + n. Can the master theorem be used to solve this recurrence? Why or why not?