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DSA Learning Path

A structured roadmap to mastering algorithms, powered by interactive visualizations and AI tutoring.

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#1What is Programming?

Introduction to coding, how computers understand code, and the role of programming languages.

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#2Flowcharts

Visualizing program flow using standard symbols and diagrams.

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#3Algorithms & Pseudocode

Writing logic without syntax constraints using pseudocode.

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#4Variables & Data Types

Understanding how computers store and manipulate data.

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#5Loops

Iterating through data and repeating actions efficiently.

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#6Recursion

Functions that call themselves to solve problems.

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#7Big O Notation

Understanding algorithm efficiency and complexity analysis.

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#5Arrays & Strings

Fundamental data structures for storing sequences of data.

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#6Linked Lists

Dynamic data structure with nodes connected by pointers.

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#7Stack

LIFO data structure for managing elements.

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#8Queue

FIFO data structure for managing elements.

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#9Hashing

Efficient data storage and retrieval using hash functions.

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#10Linear Search

Simple search algorithm that checks each element sequentially.

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#11Binary Search

Efficient search algorithm for sorted arrays.

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#12Bubble Sort

Simple sorting algorithm that repeatedly steps through the list, comparing adjacent elements and swapping them if needed.

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#13Selection Sort

Simple sorting algorithm that finds the minimum element and places it at the beginning.

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#14Insertion Sort

Efficient algorithm for small datasets, works like sorting playing cards in your hands.

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#15Merge Sort

Efficient divide-and-conquer sorting algorithm with guaranteed O(n log n) performance.

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#16Quick Sort

Efficient divide-and-conquer algorithm, often faster than Merge Sort in practice.

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#17Binary Search Tree

Tree data structure where each node has at most two children, maintaining sorted order.

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#18Heaps

Complete binary tree that maintains heap property - used for priority queues and efficient sorting.

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#19AVL Tree

Self-balancing binary search tree that maintains O(log n) height through rotations.

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#20Trie (Prefix Tree)

Tree-like data structure for efficient string storage and prefix matching.

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#21Graph Representations

Different ways to represent graphs: adjacency list, adjacency matrix, and edge list.

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#22Breadth-First Search (BFS)

Graph traversal algorithm that explores nodes level by level using a queue.

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#23Depth-First Search (DFS)

Graph traversal algorithm that explores as far as possible along each branch before backtracking.

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#24Topological Sort

Linear ordering of vertices in a DAG such that for every edge (u, v), u comes before v.

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#25Dijkstra's Algorithm

Finds shortest paths from a source vertex to all other vertices in a weighted graph with non-negative edges.

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#26Bellman-Ford Algorithm

Finds shortest paths from a source vertex, can handle negative weights and detect negative cycles.

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#27Kruskal's Algorithm

Greedy algorithm to find Minimum Spanning Tree (MST) of a connected, weighted graph.

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#28Union-Find (Disjoint Set)

Efficient data structure for tracking disjoint sets, used for cycle detection and connected components.

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#29Greedy Algorithms

Making locally optimal choices at each step.

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#30Dynamic Programming

Solving complex problems by breaking them into simpler subproblems.

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#31Knapsack Problem

Classic optimization problem using dynamic programming.

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#32Longest Common Subsequence

Finding the longest subsequence common to two sequences.

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#33Backtracking

Systematic method for solving constraint satisfaction problems.

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#34Segment Tree

Efficient data structure for range queries and updates.

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#35Fenwick Tree

Binary Indexed Tree for efficient prefix sum queries.

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#36Bit Manipulation

Efficient algorithms using bitwise operations.

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