Data Structures and Algorithms (DSA) 🌐🖥

Data Structures and Algorithms (DSA) is a vast field encompassing a wide array of topics. Here is a comprehensive list of topics commonly covered in DSA:

Data Structures

Linear Data Structures

• Arrays
  • Static and Dynamic Arrays
  • Multidimensional Arrays
• Linked Lists
  • Singly Linked List
  • Doubly Linked List
  • Circular Linked List
• Stacks
  • Implementation (Array-based, Linked List-based)
  • Applications
• Queues
  • Implementation (Array-based, Linked List-based)
  • Circular Queue
  • Priority Queue
  • Deque (Double-ended Queue)

Non-Linear Data Structures

• Trees
  • Binary Tree
  • Binary Search Tree (BST)
  • AVL Tree
  • Red-Black Tree
  • Splay Tree
  • B-Tree and B+ Tree
  • Trie
  • Segment Tree
  • Fenwick Tree (Binary Indexed Tree)
  • N-ary Tree
• Heaps
  • Min-Heap
  • Max-Heap
  • Fibonacci Heap
  • Binomial Heap
• Graphs
  • Directed and Undirected Graphs
  • Weighted and Unweighted Graphs
  • Graph Representations (Adjacency Matrix, Adjacency List)
  • Graph Traversal Algorithms (BFS, DFS)
  • Shortest Path Algorithms (Dijkstra, Bellman-Ford, Floyd-Warshall)
  • Minimum Spanning Tree (Prim's and Kruskal's Algorithms)
  • Topological Sort
  • Strongly Connected Components (Tarjan’s Algorithm, Kosaraju’s Algorithm)

Hashing

• Hash Tables
• Hash Functions
• Collision Resolution Techniques (Chaining, Open Addressing)

Algorithms

Sorting Algorithms

• Comparison-based Sorting
  • Bubble Sort
  • Selection Sort
  • Insertion Sort
  • Merge Sort
  • Quick Sort
  • Heap Sort
  • Cyclic sort
  • Shell sort
• Non-Comparison-based Sorting
  • Counting Sort
  • Radial Sort
  • Bucket Sort

Searching Algorithms

• Linear Search
• Binary Search
• Interpolation Search
• Exponential Search
• Jump Search

Divide and Conquer Algorithms

• Merge Sort
• Quick Sort
• Binary Search

Dynamic Programming

• Basic Concepts
• Fibonacci Series
• Longest Common Subsequence
• Longest Increasing Subsequence
• 0/1 Knapsack Problem
• Matrix Chain Multiplication
• Edit Distance
• Subset Sum Problem

Greedy Algorithms

• Activity Selection Problem
• Huffman Coding
• Knapsack Problem (Fractional)
• Job Sequencing Problem

Backtracking

• N-Queens Problem
• Sudoku Solver
• Subset Sum Problem
• Graph Coloring
• Hamiltonian Cycle
• Knight’s Tour Problem

Other Algorithms

• Bit Manipulation
• Randomized Algorithms
• String Algorithms
  • String Matching (Naive, KMP, Rabin-Karp, Boyer-Moore)
  • Suffix Trees
  • Trie
• Number Theory
  • Prime Numbers (Sieve of Eratosthenes)
  • Greatest Common Divisor (GCD)
  • Modular Arithmetic
• Geometry Algorithms
  • Convex Hull
  • Line Intersection
  • Closest Pair of Points

Advanced Data Structures and Algorithms

• Disjoint Set (Union-Find)
• Segment Trees and Fenwick Trees
• Trie and Suffix Trees
• KMP Algorithm
• Aho-Corasick Algorithm

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Important Concepts

• Time Complexity Analysis
• Space Complexity Analysis
• Big O, Big Omega, Big Theta Notations
• Recursion and Iteration
• Data Structure and Algorithm Design Principles
• Problem-solving Strategies
• Trade-offs in Algorithm Design
• Parallel Algorithms
• Distributed Algorithms
• Approximation Algorithms
• Online Algorithms
• NP-completeness and P vs NP problem
• OOPS Concepts
• Java Collections

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Company wise Coding Problems

• Google
• Microsoft
• Facebook
• Apple
• Amazon
• Flipkart
• Uber
• Twitter
• Zoho
• Tcs
• Accenture
• and more...

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