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DSA BASIC

- Environment Setup
- Algorithms Basics
- Asymptotic Analysis
- Data Structure Basics
- Data Structures and Types
- Logic Building Guide

DATA STRUCTURE

- Array Data Structure
- String Data Structure

- Skip List Data Structure
- Linked List Data Structure
- Doubly Linked List Data Structure
- Circular Linked List Data Structure

- Stack Data Structure
- Expression Parsing

- Queue Data Structure
- Circular Queue Data Structure
- Priority Queue Data Structure
- Deque Data Structure

- Hash Table
- Hash Set
- Hash Map

- Matrices Data Structure
    - Lup Decomposition In Matrices
    - Lu Decomposition In Matrices

- Graph Data Structure
    -- Depth First Traversal
    -- Breadth First Traversal
    -- Spanning Tree
    -- Minimum Spanning Tree
    -- Topological Sorting
    -- Strongly Connected Components
    -- Biconnected Components
    -- Augmenting Path
    -- Network Flow Problems
    -- Flow Networks In Data Structures
    -- Edmonds Blossom Algorithm
    -- Maxflow Mincut Theorem
    -- Eulerian Circuit
    -- Graphs Traversal
    -- Cycle Detection

- Tree Data Structure

    -- Tree Traversal
    -- Binary Tree
    -- Binary Search Tree
    -- AVL Tree
    -- Red Black Trees
    -- B Trees
    -- B+ Trees
    -- Splay Trees
    -- Range Queries
    -- Segment Trees
    -- Fenwick Tree
    -- Fusion Tree
    -- Hashed Array Tree
    -- K-Ary Tree
    -- Kd Trees
    -- Binary Indexed Tree
    -- Priority Search Tree Data Structure
    -- Pre-order Traversal
    -- In-order Traversal
    -- Post-order Traversal

- Hashing

    -- Hashing Data Structure
    -- Collision In Hashing

- Disjoint Set

    -- Disjoint Set
    -- Path Compression And Union By Rank


- Heap 
    
    -- Heap Data Structure
    -- Binary Heap
    -- Binomial Heap
    -- Fibonacci Heap

- Tries 

    -- Tries
    -- Standard Tries
    -- Compressed Tries
    -- Suffix Tries

- Treap

- Bit Mask In Data Structures
- Bloom Filter Data Structure

SEARCHING ALOGIRTHMS

- Searching Algorithms
- Linear Search Algorithm
- Binary Search Algorithm
- Interpolation Search
- Jump Search Algorithm
- Exponential Search
- Fibonacci Search
- Sublist Search
- Hash Table
- Sentinel Linear Search
- Meta Binary Search | One-Sided Binary Search
- Ternary Search
- Best First Search

SORTING ALOGIRTHMS

- Bubble Sort Algorithm
- Insertion Sort Algorithm
- Selection Sort Algorithm
- Merge Sort Algorithm
- Shell Sort Algorithm
- Heap Sort Algorithm
- Bucket Sort Algorithm
- Counting Sort Algorithm
- Radix Sort Algorithm
- Quick Sort Algorithm
- Line Sweep
- Cycle Sort 
- 3-way Merge Sort
- Pigeonhole Sort
- IntroSort
- TimSort

ALGORITHMS

- Recursion

    -- Recursion Algorithms
    -- Tower of Hanoi Using Recursion
    -- Fibonacci Series Using Recursion

- Divide and Conquer
    
    -- Divide and Conquer
    -- Max-Min Problem
    -- Strassen's Matrix Multiplication
    -- Karatsuba Algorithm


- Greedy Algorithms
    
    -- Greedy Algorithms
    -- Travelling Salesman Problem (Greedy Approach)
    -- Prim's Minimal Spanning Tree
    -- Kruskal's Minimal Spanning Tree
    -- Dijkstra's Shortest Path Algorithm
    -- Map Colouring Algorithm
    -- Fractional Knapsack Problem
    -- Job Sequencing with Deadline
    -- Optimal Merge Pattern Algorithm
    -- Bellman-Ford 
    -- Huffman Coding
    -- Huffman Decoding
    -- Activity Selection Problem
    -- Water Connection Problem
    -- Minimum Swaps for Bracket Balancing
    -- Egyptian Fraction
    -- Policemen catch thieves
    -- Fitting Shelves Problem
    -- Assign Mice to Holes


- Dynamic Programming
    
    -- Dynamic Programming
    -- Matrix Chain Multiplication
    -- Floyd Warshall Algorithm
    -- 0-1 Knapsack Problem
    -- Longest Common Sub-sequence Algorithm
    -- Travelling Salesman Problem (Dynamic Approach)
    -- Memoization
    -- Backtracking
    -- Bitmask
    -- Huffman Coding
    -- Tabulation



- Approximation Algorithms
    
    -- Approximation Algorithms
    -- Vertex Cover Algorithm
    -- Set Cover Problem
    -- Travelling Salesman Problem (Approximation Approach)


- Randomized Algorithms

   -- Randomized Algorithms
   -- Randomized Quick Sort Algorithm
   -- Karger’s Minimum Cut Algorithm
   -- Fisher-Yates Shuffle Algorithm

- Math & Number Theory

    -- Math
    -- Number Theory
    -- Combinatorics
    -- Probability and Statistics
    -- Geometry

- Bitwise Algorithms

- Branch and Bound algorithms

- Geometric algorithms

- Euclidean Algorithm

- Square Root (Sqrt) Decomposition Algorithm

- Binary Lifting

- Other
    - Bit Manipulation
    - String Matching
    - Rolling Hash
    - Hash Function
    - Suffix Array
    - Two Pointers
    - Sliding Window
    - Monotonic Stack
    - Monotonic Queue
    - Prefix Sum
    - Union Find
    - Ordered Set
    - Data Stream
    - Infix to Postfix
    - Bellmon Ford Shortest Path
    - Maximum Bipartite Matching
    - Design
    - Iterator
    - Concurrency
    - Interactive
    - Brainteaser
    - Simulation
    - Enumeration
    - Counting
    - Game Theory
    - Reservoir Sampling
    - Rejection Sampling
    - Matrix
    - Randomized
    - Maximum Flow
    - Ford-Fulkerson
    - Edmonds-Karp

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Curated Data Structures & Algorithms roadmap with topic-wise practice and problem-solving resources.

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