1Computer Sciences Department. 2 QUICKSORT QUICKSORT TUTORIAL 5.

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Presentation transcript:

1Computer Sciences Department

2 QUICKSORT QUICKSORT TUTORIAL 5

Computer Sciences Department3 OBJECTIVES The divide and conquer approach. Quick sort.  Example of quicksort.  Analysis of quicksort.

Computer Sciences Department4 Quicksort

5 Procedure implements quicksort

Computer Sciences Department6 Partitioning the array

Computer Sciences Department7 Exercises Sort the below array by using quicksort :

Computer Sciences Department pivot

Computer Sciences Department Sorted

Computer Sciences Department pivot Sorted

Computer Sciences Department11 68 Sorted

Computer Sciences Department12 What is the proof of O (n^2)?

Computer Sciences Department13

Computer Sciences Department14 What is the proof of Omega (n lg n)?

Computer Sciences Department15

Computer Sciences Department16 Worst case running time :  n^2) Expected running time :  (n lg n). Sorts in place.