基础算法【Algorithms】 C#版本

This repository contains algorithms and data structures implemented in C# for educational purposes.

• Algorithms

  • Data Compression
    • Burrows-Wheeler transform
    • Huffman Compressor
    • Shannon-Fano Compressor
  • Encoders
    • Caesar
    • Vigenere
    • Hill
    • NYSIIS
    • Soundex
  • Knapsack problem
    • Naive solver
    • Dynamic Programming solver
  • Linear Algebra
    • Eigenvalue
      • Power Iteration
  • Numeric
    • Aliquot Sum Calculator
    • Decomposition
      • LU Decomposition
      • Thin Singular Vector Decomposition
    • Greatest Common Divisor
      • Euclidean GCD
      • Binary GCD
    • Factorization
      • Trial division Factorization
    • Series
      • Maclaurin Series
    • Gauss-Jordan Elimination
    • Pseudo-Inverse
    • Narcissistic Number Checker
    • Perfect Number Checker
    • Perfect Square Checker
    • Euler Method
  • Searches
    • A-Star
    • Binary Search
    • Recursive Binary Search
    • Linear Search
    • Fast Search
  • Sorts
    • Comparison
      • Binary Insertion Sort
      • Bogo Sort
      • Bubble Sort
      • Cocktail Sort
      • Comb Sort
      • Cycle Sort
      • Heap Sort
      • Insertion Sort
      • Merge Sort
      • Pancake Sort
      • Quick Sort
        • Median of three pivot
        • Middle point pivot
        • Random pivot
      • Selection Sort
      • Shell Sort
    • External
      • Merge Sort
    • Integer
      • Counting Sort
      • Bucket Sort
      • Radix Sort
    • String
      • MSD Radix Sort
      • Knuth–Morris–Pratt Search
  • Sequences
    • A000027 Natural
    • A000040 Primes
    • A000045 Fibonacci
    • A000142 Factorial
    • A007318 Binomial
  • String
    • Longest Consecutive Character
    • Naive String Search
    • Rabin Karp
    • Boyer Moore
    • Palindrome Checker
  • Other
    • Fermat Prime Checker
    • Sieve of Eratosthenes
    • Luhn
    • Mandelbrot
    • Koch Snowflake
    • RGB-HSV Conversion
    • Flood Fill
  • Problems
    • Stable Marriage
      • Gale-Shapley
    • N-Queens
      • Backtracking

• Data Structures

  • Bit Array
  • Timeline
  • Segment Trees
    • Segment Tree
    • Segment Tree Multiplication
    • Segment Tree Update
  • Binary Search Tree
  • AA Tree
  • Stack
    • Array-based Stack
    • List-based Stack
  • Heap
    • Min-Max Heap
    • Binary Heap
    • Fibonacci Heap
  • Queue
    • Array-based Queue
    • List-based Queue
    • Stack-based Queue
  • Linked List
    • Singly Linked List
    • Doubly Linked List