The document discusses the heap sort algorithm which has two steps: 1) Build a max heap from the input data in O(n) time by transforming it into a complete binary tree that satisfies the heap property. 2) Perform n deleteMax operations to extract the maximum element from the heap and place it in the sorted output, doing this in O(log(n)) time per operation for an overall time of O(nlog(n)).

1. Wha heap sort is a
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2. What is a Heap?

3. Example?

4. What is a Heap?

5. What is a Heap?

6. What is a Heap?

7. Algorithm

8. Algorithm

9. AlgorithmStep 1. Build Heap – O(n)
- Build binary tree taking N items as input, ensuring the
heap structure property is held, in other words, build a
complete binary tree.
- Heapify the binary tree making sure the binary tree
satisfies the Heap Order property.
Step 2. Perform n deleteMax operations – O(log(n))
- Delete the maximum element in the heap – which is the
root node, and place this element at the end of the sorted
array.

10. AlgorithmStep 1. Build Heap – O(n)
- Build binary tree taking N items as input, ensuring the
heap structure property is held, in other words, build a
complete binary tree.
- Heapify the binary tree making sure the binary tree
satisfies the Heap Order property.
Step 2. Perform n deleteMax operations – O(log(n))
- Delete the maximum element in the heap – which is the
root node, and place this element at the end of the sorted
array.

11. Algorithm

12. Algorithm

13. Algorithm

14. Algorithm

15. Algorithm

16. Algorithm

17. Algorithm

18. Algorithm

19. Algorithm

20. Algorithm

21. Algorithm

22. Algorithm

23. Algorithm
Step 1. Build Heap – O(n)
- Build binary tree taking N items as input, ensuring the
heap structure property is held, in other words, build a
complete binary tree.
- Heapify the binary tree making sure the binary tree
satisfies the Heap Order property.
Step 2. Perform n deleteMax operations – O(log(n))
- Delete the maximum element in the heap – which is the
root node, and place this element at the end of the sorted
array.

24. Algorithm

25. Algorithm

26. Algorithm
Step 1. Build Heap – O(n)
- Build binary tree taking N items as input, ensuring the
heap structure property is held, in other words, build a
complete binary tree.
- Heapify the binary tree making sure the binary tree
satisfies the Heap Order property.
Step 2. Perform n deleteMax operations – O(log(n))
- Delete the maximum element in the heap – which is the
root node, and place this element at the end of the sorted
array.

27. Algorithm

28. Algorithm

29. Algorithm

30. Algorithm

31. Algorithm

32. Algorithm

33. Algorithm

34. Algorithm

35. Algorithm

36. Algorithm
Step 1. Build Heap – O(n)
- Build binary tree taking N items as input, ensuring the
heap structure property is held, in other words, build a
complete binary tree.
- Heapify the binary tree making sure the binary tree
satisfies the Heap Order property.
Step 2. Perform n deleteMax operations – O(log(n))
- Delete the maximum element in the heap – which is the
root node, and place this element at the end of the sorted
array.

37. Algorithm

38. Algorithm