Exploring Heaps and Tries in Computer Science

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Delve into the concepts of heaps and tries, which are crucial data structures in computer science. Learn about priority queues, heap properties, representation, implementation, operations such as insertion and deletion, calculating parent/child relationships, and building heaps. This topic covers essential aspects of managing data efficiently in algorithms.


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  1. Topic 11 Heaps and Tries

  2. Announcements Grading Homework 3 to be graded by today Homework 4 to be graded tomorrow/Thursday Homework 5 solutions will be up today Test in 1.5 weeks Online students: make sure you can take the test on Thursday/Friday. Participation Schedule

  3. Homework 5 solutions

  4. Heaps Priority Queues Definition:

  5. Heap Property

  6. Representation/Implementation

  7. Array attributes

  8. Example representation

  9. Calculating Parent/Child

  10. Heap Operations: Insertion

  11. Pseudocode

  12. Heap Operations: delete-max/min

  13. Heap Operations: build-heap

  14. Example

  15. Pseudocode

  16. Heap Sort

  17. Basic Idea

  18. Pseudocode

  19. Example

  20. Stability

  21. Tries

  22. Definition Definition:

  23. Adding fixed-length keys

  24. Alphabet Trie (alphabet from English alphabet)

  25. Analysis (compressed tries) Search Insertion # nodes

  26. Uses Sort? Search?

  27. Searching for Suffixes

  28. Example

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