Advanced Topics

Module Contents

  1. Introduction to Advanced DSA

Step into the world of complex data structures. Learn why we need Tries, Segment Trees, and Disjoint Sets to solve high-performance problems.

  1. Bit Manipulation

  2. Greedy Algorithms

Make the locally optimal choice at each step. Master Activity Selection, Huffman Coding, and Fractional Knapsack.

  1. Tries (Prefix Trees)

Master the Trie data structure. Implement efficient Autocomplete, Spell Checkers, and Prefix Search in O(L) time.

  1. Segment Tree Lazy

  2. Advanced Graph Algorithms

Go beyond BFS/DFS. Master Flow Networks (Max-Flow Min-Cut), Strongly Connected Components (Tarjan’s), and Eulerian Paths.

  1. Memory & Cache Optimization

Code that pleases the hardware. Understand Cache Lines, False Sharing, Data Locality, and Struct Padding.

  1. Amortized Analysis

Understand the true cost of operations. Aggregate, Banker’s, and Potential Methods explained with Dynamic Arrays.

  1. Review & Cheat Sheet

Advanced Topics

[!NOTE] This module explores the core principles of Advanced Topics, 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