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Design and Analysis of Algorithms

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Design and Analysis of Algorithms I

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805.7 MB

Total Files

62

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3304626A2747BAC5BA8963B41C10C4B073E5871F

/III. DIVIDE & CONQUER ALGORITHMS (Week 1)/

4 O(n log n) Algorithm for Closest Pair I [Advanced - Optional] (32 min).webm

24.9 MB

3 Strassen's Subcubic Matrix Multiplication Algorithm (22 min).webm

17.0 MB

5 O(n log n) Algorithm for Closest Pair II [Advanced - Optional] (19 min).webm

15.6 MB

2 O(n log n) Algorithm for Counting Inversions II (17 min).webm

15.1 MB

1 O(n log n) Algorithm for Counting Inversions I (13 min).webm

10.5 MB

/X. GRAPH SEARCH AND CONNECTIVITY (Week 4)/

7 Computing Strong Components- The Algorithm (29 min).webm

23.3 MB

8 Computing Strong Components- The Analysis (26 min).webm

19.9 MB

1 Graph Search - Overview (23 min).webm

17.2 MB

6 Topological Sort (22 min).webm

16.3 MB

9 Structure of the Web [Optional] (19 min).webm

14.1 MB

4 BFS and Undirected Connectivity (13 min).webm

11.1 MB

2 Breadth-First Search (BFS)- The Basics (14 min).webm

10.9 MB

3 BFS and Shortest Paths (8 min).webm

5.7 MB

5 Depth-First Search (DFS) The Basics (7 min).webm

5.7 MB

/IX. GRAPHS AND THE CONTRACTION ALGORITHM (Week 3)/

4 Analysis of Contraction Algorithm (30 min).webm

23.3 MB

1 Graphs and Minimum Cuts (16 min).webm

12.0 MB

2 Graph Representations (14 min).webm

11.0 MB

3 Random Contraction Algorithm (9 min).webm

6.5 MB

5 Counting Minimum Cuts [Advanced - Optional] (7 min).webm

5.7 MB

/XI. DIJKSTRA'S SHORTEST-PATH ALGORITHM (Week 5)/

4 Dijkstra's Algorithm- Implementation and Running Time (26 min).webm

21.3 MB

1 Dijkstra's Shortest-Path Algorithm (21 min).webm

15.8 MB

3 Correctness of Dijkstra's Algorithm [Advanced - Optional] (19 min).webm

14.9 MB

2 Dijkstra's Algorithm- Examples (13 min).webm

9.6 MB

/XII. DATA STRUCTURES (Week 5)/

8 Universal Hashing- The Mathematics, Part I [Optional] (27 min).webm

20.0 MB

6 Hash Tables- Implementation Details, Part I (19 min).webm

17.6 MB

7 Universal Hashing- Motivation [Optional] (22 min).webm

17.5 MB

3 Heaps- Implementation Details [Advanced - Optional] (21 min).webm

16.6 MB

4 Hash Tables- Operations and Applications (19 min).webm

15.7 MB

5 Hash Tables- Implementation Details, Part I (19 min).webm

14.5 MB

2 Heaps- Operations and Applications (18 min).webm

14.3 MB

1 Data Structures- Overview (5 min).webm

3.6 MB

/VII. PROBABILITY REVIEW (Weeks 2-3)/

1 Part I [Review - Optional] (25 min).webm

19.7 MB

2 Part II [Review - Optional] (17 min).webm

13.5 MB

/V. QUICKSORT - ALGORITHM (Week 2)/

2 Partitioning Around a Pivot (25 min).webm

18.8 MB

4 Choosing a Good Pivot (22min).webm

16.5 MB

3 Correctness of Quicksort [Review - Optional] (11 min).webm

9.4 MB

1 Quicksort- Overview (12 min).webm

6.7 MB

/VIII. LINEAR-TIME SELECTION (Week 3)/

1 Randomized Selection - Algorithm (22 min).webm

17.1 MB

4 Deterministic Selection - Analysis I [Advanced - Optional] (22 min).webm

17.1 MB

2 Randomized Selection - Analysis (21 min).webm

15.0 MB

3 Deterministic Selection - Algorithm [Advanced - Optional] (17 min).webm

14.0 MB

6 Omega(n log n) Lower Bound for Comparison-Based Sorting [Advanced - Optional] (13 min).webm

10.3 MB

5 Deterministic Selection - Analysis II [Advanced - Optional] (13 min).webm

10.0 MB

/VI. QUICKSORT - ANALYSIS (Week 2)/

1 Analysis I- A Decomposition Principle [Advanced - Optional] (22 min).webm

16.6 MB

2 Analysis II- The Key Insight [Advanced - Optional] (12min).webm

9.0 MB

3 Analysis III- Final Calculations [Advanced - Optional] (9min).webm

6.5 MB

/I. INTRODUCTION (Week 1)/

6 Guiding Principles for Analysis of Algorithms (15 min).webm

14.5 MB

1 Introduction Why Study Algorithms (19 min).webm

14.4 MB

4 Merge Sort Pseudocode (13 min).webm

14.0 MB

2 About the Course (17 min).webm

12.7 MB

5 Merge Sort Analysis (9 min).webm

10.7 MB

3 Merge Sort Motivation and Example (9 min).webm

9.4 MB

/IV. THE MASTER METHOD (Week 2)/

6 Proof II (16 min).webm

13.0 MB

3 Examples (13 min).webm

11.0 MB

5 Interpretation of the 3 Cases (11 min).webm

10.6 MB

4 Proof I (10 min).webm

9.8 MB

2 Formal Statement (10 min).webm

9.4 MB

1 Motivation (8 min).webm

6.9 MB

/II. ASYMPTOTIC ANALYSIS (Week 1)/

4 Additional Examples [Review - Optional] (8 min).webm

6.5 MB

3 Basic Examples (7 min).webm

6.1 MB

2 Basic Examples (7 min).webm

5.9 MB

1 Big-Oh Notation (4 min).webm

3.3 MB

 

Total files 62


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