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algorithmsanddatastructures's Introduction

What is this project?

  • I will store here some algorithms and data structures I'm learning in class.
  • Some might be from competitive programming, for example the Segment Tree

What I have so far:

  1. Sorting algorithms:

    1.1. Merge Sort

    1.2. Insertion Sort

    1.3. Quick Sort

    1.4. Counting Sort

  2. Graph/Trees algorithms:

    2.1. Depth-First Search (DFS)

    2.2. Bread-First Search (BFS)

    2.3. Shortest Path

    • 2.3.1. Dijkstra

    • 2.3.2. Bellman-Ford (TODO)

    2.4. Minimum Spanning Trees:

    • 2.4.1. Kruskal Algorithm

    • 2.4.2. Prim's Algorithm

  3. Searching Algorithms:

    3.1 Binary Search

    3.2 Ternary Search

  4. Amortized Algorithms (Common optimization techniques):

    4.1. Sliding Window

    4.2. Line Sweep

    4.3. Monotonic Stack

    4.4. Monotonic Queue

  5. Data Structures:

    5.1 Segment Tree

    5.2 Binary Index Tree (TODO)

    5.3 Union-Find

    5.4 AVL tree (balanced BST)

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