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DSA Theory Library

DSA Theory

Deep-dive into the core concepts of Data Structures and Algorithms. Understand the memory layout, time complexities, and see how they are implemented from scratch.

Module 110 min read

Master Arrays Data Structure — Ultimate Guide

Learn Arrays in Data Structures and Algorithms (DSA) from scratch. Master contiguous memory, static vs dynamic arrays, standard operations, dry runs, multi-language syntax, time complexities, optimization techniques, quizzes, and FAQs.

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Module 210 min read

Master Hash Tables & Hash Maps — Complete Guide

Master Hash Tables and Hash Maps in Data Structures and Algorithms (DSA). Learn Hash Functions, Collision Resolution (Chaining vs Open Addressing), Load Factor, Rehashing, Real-World Applications, and solve classic interview problems with C++, Java, Python, and JavaScript.

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Module 310 min read

Master Linked Lists Data Structure — Complete Guide

Master Singly, Doubly, and Circular Linked Lists in Data Structures and Algorithms (DSA). Learn pointer anatomy, in-place reversal, Floyd's Cycle Detection math, Dummy Head patterns, Multi-language syntax in C++, Java, Python, and JavaScript, and solve top interview problems.

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Module 410 min read

Stacks in Data Structures

Master the Stack data structure in DSA. Learn LIFO principle, monotonic stacks, and solve real interview problems — Valid Parentheses, Next Greater Element, Largest Rectangle in Histogram, and Min Stack — with JavaScript, Python, and C++ code.

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Module 510 min read

Master Binary Trees & Binary Search Trees (BST) — Complete Guide

Master Binary Trees and Binary Search Trees (BST) in Data Structures and Algorithms (DSA). Learn Full, Complete, and Balanced Trees, DFS & BFS Traversals, Morris Traversal, BST Deletions, Multi-language syntax in C++, Java, Python, and JavaScript, and solve classic interview problems.

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Module 610 min read

Master Queue Data Structure & Deque — Complete Guide

Master the Queue and Deque data structures in Data Structures and Algorithms (DSA). Learn FIFO mechanics, Circular Queue modulo arithmetic, Monotonic Queues, Producer-Consumer architectures, Multi-language syntax in C++, Java, Python, and JavaScript, and solve classic interview problems.

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Module 710 min read

Graphs in Data Structures

Master Graph Data Structures and Algorithms. Learn BFS, DFS, Dijkstra's shortest path, topological sort, and Union-Find with step-by-step code examples in JavaScript, Python, and C++. Solve real interview problems with visual traces.

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Module 810 min read

Master Heaps & Priority Queues — Complete Guide

Master Heaps and Priority Queues in Data Structures and Algorithms (DSA). Learn Min-Heap, Max-Heap, Array Indexing Math, O(N) BuildHeap Proof, Heap Sort, Priority Queue APIs across Java, C++, Python, and JavaScript, and solve Top-K and Two-Heaps interview problems.

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Module 910 min read

Sorting Algorithms — Complete Guide with Visual Traces

Master all sorting algorithms with step-by-step visual traces. Learn Bubble Sort, Selection Sort, Insertion Sort, Merge Sort, Quick Sort, and Heap Sort — including time/space complexities, stability, and which to use when. Includes JavaScript, Python, and C++ implementations.

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Module 1010 min read

Dynamic Programming (DP) — Complete Guide

Master Dynamic Programming with step-by-step solved problems. Learn memoization, tabulation, and state transitions through Fibonacci, 0/1 Knapsack, Longest Common Subsequence, Coin Change, and House Robber — with JavaScript, Python, and C++ solutions.

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Module 1110 min read

Master Tries (Prefix Trees) & Bitwise Tries — Complete Guide

Master the Trie (Prefix Tree) and Bitwise Trie data structures in Data Structures and Algorithms (DSA). Learn TrieNode anatomy, Autocomplete Engines, Radix Trees, Bitwise XOR Tries, Multi-language syntax in C++, Java, Python, and JavaScript, and solve top interview problems.

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Module 1210 min read

Recursion and Backtracking in Data Structures

Master Recursion and Backtracking in DSA. Understand the call stack, stack frames, base cases, recursion trees, and backtracking state space search with code examples in JavaScript, Python, and C++.

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Module 1310 min read

Bit Manipulation in Data Structures

Master Bit Manipulation in DSA. Learn binary representations, bitwise operators, masking, setting/getting/clearing bits, XOR tricks, and bitmask DP with JavaScript, Python, and C++ code examples.

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Module 1410 min read

Sliding Window Technique in Data Structures

Master the Sliding Window technique in DSA. Understand fixed and variable windows, subarray computations, and how to optimize brute-force algorithms from O(N²) to O(N) with JavaScript, Python, and C++ examples.

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Module 1510 min read

Two Pointers Technique in Data Structures

Master the Two Pointers technique in DSA. Learn how to optimize search space, reverse structures, detect cycles, and reduce time complexity from O(N²) to O(N) with JavaScript, Python, and C++ code examples.

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