Module Contents

  1. Introduction to Trees

Understand the recursive nature of Binary Trees. Nodes, Edges, Leaves, Height, and Depth. Hardware reality of Tree pointers.

  1. Binary Search Trees (BST)

Master the BST property. Search, Insert, and Delete in O(log N) time. Understand why BSTs can degenerate into Linked Lists.

  1. Tree Traversals (DFS & BFS)

Master DFS (Preorder, Inorder, Postorder) and BFS (Level Order). Interactive visualizer to see the order.

  1. Lowest Common Ancestor

Solve the LCA problem. Find the deepest node that is an ancestor of both P and Q. Master the recursive pattern.

  1. Segment & Fenwick Trees

Master Range Queries. Solve Range Sum Query (RSQ) in O(log N) using Segment Trees and Binary Indexed Trees (Fenwick).

  1. Trie (Prefix Tree)

Master the Trie data structure. Implement Insert, Search, and StartsWith for Autocomplete systems.

  1. Database Internals

Staff Level: How databases store data. B-Trees, B+Trees, and LSM Trees. Disk I/O vs RAM.

  1. Module Review: Trees

Review Binary Trees, BSTs, DFS/BFS, and LCA. Flashcards and Cheat Sheet.

Documentation

[!NOTE] This module explores the core principles of Documentation, deriving solutions from first principles and hardware constraints to build world-class, production-ready expertise.

1. Practice

[!NOTE] Looking for hands-on algorithmic exercises? We have migrated all coding challenges for this module into the Problem Vault to give you a centralized, focused practice environment.

Module Chapters