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Lecture 9 Greedy Strategy

Lecture 9 Greedy Strategy. Exchange Property. Activity Selection Problem. Mathematical Model. Exchange Property. Self-Reducible Optimality. Greedy Algorithm. Optimality Proof. Huffman Codes. Problem. Binary Tree Representation. 0. 1. 0. 1. 1. 0. 1. 0. 1. 0.

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Lecture 9 Greedy Strategy

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  1. Lecture 9 Greedy Strategy

  2. Exchange Property

  3. Activity Selection Problem

  4. Mathematical Model

  5. Exchange Property

  6. Self-Reducible Optimality

  7. Greedy Algorithm

  8. Optimality Proof

  9. Huffman Codes

  10. Problem

  11. Binary Tree Representation

  12. 0 1 0 1 1 0 1 0 1 0

  13. Huffman Tree Problem

  14. Lemma

  15. Exchange Property

  16. Self-reducible Optimality

  17. 0 1 0 1 1 0 1 0 1 0

  18. 0 1 0 1 1 0 1 0 0 1

  19. Idea of Construction

  20. Greedy Construction

  21. Minimum Spanning Tree

  22. What we learnt in this lecture? • How to find greedy algorithm. Exchange property. Structural Property of Optimal Solution Self-reducible optimality.

  23. Puzzle

  24. Solution 1 Solution 2

  25. Thanks End

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