Learn Data Structure and Algorithms by Python

You need to have basic understanding of the Python programming language to proceed with the codes from this repository. Python 3 is used for the implementation of the data structures and Algorithms

Table of Contents

• Introduction to Python
• Data Structure
  • Linked List
  • Stack
  • Queue
  • Binary Search Tree (BST)
  • Heap
  • Hash Table
  • Disjoint Set Union (Union Find)
  • Trie
  • Suffix Array
  • Segment Tree
  • Binary Indexed Tree (BIT)
  • Heavy Light Decomposition

• Searching
  • Linear Search
  • Binary Search
  • Ternary Search

• Sorting
  • Selection Sort
  • Bubble Sort
  • Insertion Sort
  • Merge Sort
  • Quick Sort
  • Bucket Sort
  • Counting Sort
  • Heap Sort
  • Radix Sort

• Graph Algorithms

  • Graph Representation
  • Breadth First Search (BFS)
  • Depth First Search (DFS)
  • Topological Sort
  • Strongly Connected Components (SCC)
  • Minimum Spanning Tree (MST)
  • All Pairs Shortest Path (Floyd Warshall's Algorithm)
  • Single Source Shortest Path Algorithm
    • Djkastra's Algorithm
    • Bellman Ford Algorithm
  • Directed Acyclic Graph
  • Bipartite Matching
  • Articulation Point, Bridge
  • Euler Tour/Path
  • Hamiltonian Cycle
  • Stable Marriage Problem
  • Chinese Postman Problem
  • 2-satisfiability
  • Flow Algorithms
    • Maximum Flow
    • Minimum Cut
    • Min-Cost Max Flow
    • Maximum Bipartite Matching
    • Vertex Cover

• Dynamic Programming

  • Rod Cutting
  • Maximum Sum (1D, 2D)
  • Coin Change
  • Longest Common Subsequence
  • Longest Increasing Subsequence
  • Matrix Multiplication
  • Edit Distance (Levenshtein distance)
  • 0/1 Knapsack
  • Travelling Salesman Problem
  • Optimal Binary Search Tree

• Greedy Algorithms
  • Activity Selection/Task Scheduling
  • Huffman Coding
  • Knapsack Problem (Fractional Knapsack)

• String Algorithms
  • Rabin-Karp Algorithm
  • Knuth-Morris-Pratt Algorithm
  • Z Algorithm
  • Aho-Korasick Algorithm
  • Manachers Algorithm
  • Boyr-Moore Algorithm

• Number Theory
  • Greatest Common Divisor (GCD)
  • Longest Common Multiplier (LCM)
  • Euler Totient (Phi)
  • Primality Testing
  • Prime finding(Sieve of Eratosthenes)
  • Prime factorization
  • Factorial
  • Fibonacci
  • Counting, Permutation, combination
  • Exponentiation
  • Big Mod
  • Euclid, Extended euclid
  • Josephus Problem
  • Farey Sequence
  • Catalan numbers
  • Burnside's lemma/circular permutation
  • Modular inverse
  • Probability
  • Chinese Remainder Theorem
  • Gaussian Elimination method
  • Dilworth's Theorem
  • Matrix Exponentiation

• Computational Geometry
  • Pick's Theorem
  • Convex hull
  • Line Intersection
  • Point in a polygon
  • Area of a polygon
  • Line Sweeping
  • Polygon intersection
  • Closest Pair

• Game Theory

  • Take Away Game
  • Nim's Game
  • Sprague-grundy Number

• Others

  • BackTracking
    • N-Queen's Problem
  • Tower of Hanoi Problem

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Introduction

Big-O Notation and Time Complexity Analysis

Algorithms in plain English: time complexity and Big-O notation

Big-O Cheat Sheet Link

How to Use

Install Python 3.x in your machine from here (if it's already not installed) and add it to your environment path so that it is accessible in terminal commands.

Then you can run a Python file like this:

python file.py

or

python3 file.py

Useful Links:

• Algorithms, 4th Edition (book by: Robert Sedgewick and Kevin Wayne)
• Khan Academy tutorial on Algorithms
• Topcoder Tutorials
• GeeksforGeeks
• hackerearth Tutorial