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Algorithm and Data Structure Study Plan for Data Science and Software Engineering

1. Basic Data Structures (2-3 weeks)

  • Arrays and Strings
  • Linked Lists
  • Stacks and Queues
  • Hash Tables
  • Trees (Binary Trees, Binary Search Trees)
  • Heaps
  • Graphs (representation and traversal)

2. Basic Algorithms (2-3 weeks)

  • Searching (Linear Search, Binary Search)
  • Sorting (Bubble Sort, Selection Sort, Insertion Sort, Merge Sort, Quick Sort)
  • Recursion
  • Breadth-First Search (BFS)
  • Depth-First Search (DFS)

3. Advanced Data Structures (2-3 weeks)

  • Balanced Trees (AVL Trees, Red-Black Trees)
  • Trie
  • Disjoint Set (Union-Find)
  • Segment Trees
  • Fenwick Trees (Binary Indexed Trees)

4. Advanced Algorithms (3-4 weeks)

  • Dynamic Programming
  • Greedy Algorithms
  • Backtracking
  • Divide and Conquer
  • Graph Algorithms (Dijkstra’s, Bellman-Ford, Floyd-Warshall, Kruskal’s, Prim’s)

5. Algorithm Design Techniques (2-3 weeks)

  • Time and Space Complexity Analysis
  • Amortized Analysis
  • Problem-Solving Strategies

6. Data Science Specific Topics (2-3 weeks)

  • Probability and Statistics
  • Linear Algebra basics
  • Numerical Algorithms
  • Machine Learning Algorithms (basics)

7. Software Engineering Specific Topics (2-3 weeks)

  • Object-Oriented Design
  • System Design basics
  • Concurrency and Multithreading basics

8. Practice and Application (Ongoing)

  • Coding Challenges (LeetCode, HackerRank, etc.)
  • Implementation of data structures and algorithms from scratch
  • Real-world problem solving using these concepts

Total estimated time: 15-22 weeks (3-5 months) for focused study

Note: This timeline assumes you’re dedicating significant time each day to studying. Adjust based on your schedule and prior knowledge. Continuous practice and application are key to mastering these concepts.