Quick sort

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This document discusses the average-case analysis of quick sort. It assumes the running time T(n) of quick sort is less than c*n*log(n) for n greater than 2, where c is a constant. Quick sort is recursively splitting the list into sublists until each sublist contains a single element, and it has average-case performance of O(n log n).

AnAlysis of
Algorithm
Analysis of Quick Sort

Average-Case Analysis of Quick
sort

Average-Case Analysis of Quick
sort

Average-Case Analysis of Quick
sort

Average-Case Analysis of Quick
sort

Average-Case Analysis of Quick
sort
• Let us assume that T (n) < c n log n for n > 2
where c is a Constant

Average-Case Analysis of Quick
sort

Average-Case Analysis of Quick
sort

Average-Case Analysis of Quick
sort

Average-Case Analysis of Quick
sort

3SAT…

Average-Case Analysis of Quick
sort

Average-Case Analysis of Quick
sort

Average-Case Analysis of Quick
sort

Average-Case Analysis of Quick
sort

Average-Case Analysis of Quick
sort

Average-Case Analysis of Quick
sort

Average-Case Analysis of Quick
sort

Average-Case Analysis of Quick
sort

Average-Case Analysis of Quick
sort

Average-Case Analysis of Quick
sort

Average-Case Analysis of Quick
sort

Average-Case Analysis of Quick
sort

Average-Case Analysis of Quick
sort

Average-Case Analysis of Quick
sort

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Quick sort

1. AnAlysis of Algorithm Analysis of Quick Sort

2. Average-Case Analysis of Quick sort

3. Average-Case Analysis of Quick sort

4. Average-Case Analysis of Quick sort

5. Average-Case Analysis of Quick sort

6. Average-Case Analysis of Quick sort • Let us assume that T (n) < c n log n for n > 2 where c is a Constant

7. Average-Case Analysis of Quick sort

8. Average-Case Analysis of Quick sort

9. Average-Case Analysis of Quick sort

10. Average-Case Analysis of Quick sort

12. Average-Case Analysis of Quick sort

13. Average-Case Analysis of Quick sort

14. Average-Case Analysis of Quick sort

15. Average-Case Analysis of Quick sort

16. Average-Case Analysis of Quick sort

17. Average-Case Analysis of Quick sort

18. Average-Case Analysis of Quick sort

19. Average-Case Analysis of Quick sort

20. Average-Case Analysis of Quick sort

21. Average-Case Analysis of Quick sort

22. Average-Case Analysis of Quick sort

23. Average-Case Analysis of Quick sort

24. Average-Case Analysis of Quick sort

25. Average-Case Analysis of Quick sort