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12. Square Roots, Newton's Method
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Classroom Contents
Introduction to Algorithms
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- 1 1. Algorithmic Thinking, Peak Finding
- 2 2. Models of Computation, Document Distance
- 3 3. Insertion Sort, Merge Sort
- 4 4. Heaps and Heap Sort
- 5 5. Binary Search Trees, BST Sort
- 6 6. AVL Trees, AVL Sort
- 7 7. Counting Sort, Radix Sort, Lower Bounds for Sorting
- 8 8. Hashing with Chaining
- 9 9. Table Doubling, Karp-Rabin
- 10 10. Open Addressing, Cryptographic Hashing
- 11 11. Integer Arithmetic, Karatsuba Multiplication
- 12 12. Square Roots, Newton's Method
- 13 13. Breadth-First Search (BFS)
- 14 14. Depth-First Search (DFS), Topological Sort
- 15 15. Single-Source Shortest Paths Problem
- 16 16. Dijkstra
- 17 17. Bellman-Ford
- 18 18. Speeding up Dijkstra
- 19 19. Dynamic Programming I: Fibonacci, Shortest Paths
- 20 20. Dynamic Programming II: Text Justification, Blackjack
- 21 21. DP III: Parenthesization, Edit Distance, Knapsack
- 22 22. DP IV: Guitar Fingering, Tetris, Super Mario Bros.
- 23 23. Computational Complexity
- 24 24. Topics in Algorithms Research
- 25 R1. Asymptotic Complexity, Peak Finding
- 26 R2. Python Cost Model, Document Distance
- 27 R3. Document Distance, Insertion and Merge Sort
- 28 R5. Recursion Trees, Binary Search Trees
- 29 R6. AVL Trees
- 30 R7. Comparison Sort, Counting and Radix Sort
- 31 R8. Simulation Algorithms
- 32 R9. Rolling Hashes, Amortized Analysis
- 33 Recitation 9b: DNA Sequence Matching
- 34 R10. Quiz 1 Review
- 35 R11. Principles of Algorithm Design
- 36 R12. Karatsuba Multiplication, Newton's Method
- 37 R13. Breadth-First Search (BFS)
- 38 R14. Depth-First Search (DFS)
- 39 R15. Shortest Paths
- 40 R16. Rubik's Cube, StarCraft Zero
- 41 R18. Quiz 2 Review
- 42 R19. Dynamic Programming: Crazy Eights, Shortest Path
- 43 R20. Dynamic Programming: Blackjack
- 44 R22. Dynamic Programming: Dance Dance Revolution
- 45 R21. Dynamic Programming: Knapsack Problem
- 46 R23. Computational Complexity
- 47 R24. Final Exam Review
