Master Data Structures and Algorithms: Your Complete Roadmap

Learn the core concepts of DSA step-by-step to excel in coding interviews, competitive programming, and software development.

Basic overview

What are Data Structures and Algorithms?

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Why Learn DSA?

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Estimated time commitment for the roadmap.

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Phases of the DSA Roadmap

Phase 1: Fundamentals of Programming

Basics of Variables, Data Types, and Input/Output

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Conditional Statements (if-else, switch)

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Loops (for, while, do-while)

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Functions and Recursion

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Time and Space Complexity Basics

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Phase 2: Basic Data Structures

Arrays and Strings

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Linked Lists (Singly and Doubly Linked Lists)

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Hashing and Hash Tables

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Practice Problems

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Phase 3: Advanced Data Structures

Trees: Binary Trees, Binary Search Trees

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Heaps and Priority Queues

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Graphs: Representation (Adjacency List, Matrix)

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Tries and Suffix Trees

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Disjoint Set (Union-Find)

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Phase 4: Sorting and Searching Algorithms

Bubble Sort, Selection Sort, Insertion Sort

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Merge Sort, Quick Sort, Heap Sort

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Binary Search and Its Variations

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Practice Problems

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Phase 5: Divide and Conquer

Understanding the Divide and Conquer Paradigm

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Applications in Sorting and Searching

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Advanced Examples: Matrix Multiplication

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Phase 6: Dynamic Programming (DP)

Introduction to DP

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Memoization vs. Tabulation

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Common DP Problems:

Longest Common Subsequence , Knapsack Problem , Matrix Chain Multiplication

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Phase 7: Greedy Algorithms

Greedy Algorithm Basics

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Classic Problems:

Activity Selection Problem , Huffman Coding , Minimum Spanning Tree (Prim's and Kruskal's)

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Phase 8: Graph Algorithms

Breadth-First Search (BFS)

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Depth-First Search (DFS)

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Shortest Path Algorithms: Dijkstra, Bellman-Ford

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Minimum Spanning Tree (Prim’s and Kruskal’s)

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Advanced Graph Topics: Topological Sorting, Tarjan’s Algorithm

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Phase 9: Backtracking

Introduction to Backtracking

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Common Problems:

N-Queens Problem , Sudoku Solver , Rat in a Maze

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Phase 10: Advanced Algorithms

String Matching Algorithms: KMP, Rabin-Karp

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Divide and Conquer: Strassen's Algorithm for Matrix Multiplication

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Advanced Graph Algorithms: Floyd-Warshall, Edmonds-Karp

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Phase 11: Competitive Programming Tips

Problem-Solving Strategies

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Debugging Techniques

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Optimizing Code for Performance

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Handling Edge Cases

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