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rust-algorithms's Introduction

Algorithms

Repository for my algorithms and data structures implementation (Lists approx. 350 algorithms).

Checked algorithms have been implemented in Rust in "src/respective folder".

Backtracking

  • Crossword Puzzle
  • Hamiltonian Cycle
  • Knight's Tour Problem
  • N Queens Puzzle
  • Subset Sum
  • Sudoku

Combinatorics

  • Binomial Coefficients
  • Burnside's lemma
  • Brent's algorithm
  • Catalan Numbers
  • Fisher-Yates shuffle
  • Floyd's cycle-finding algorithm
  • Gale-Shapley algorithm

Compression

  • Arithmetic Coding
  • Delta Encoding
  • Huffman Coding
  • Lempel-Ziv-Welch algorithm
  • LZ77
  • Run-length encoding
  • Shannon-Fano coding
  • Wavelet Compression

Cryptography

  • Affine Cipher
  • Base16
  • Base32
  • Base64
  • Base85
  • Caesar Cipher
  • Diffie-Hellman Key Exchange
  • Elliptic-curve Diffie-Hellman
  • Hill Cipher
  • Locality Sensitive Hashing
  • RSA Cipher
  • RSA Factorization
  • RSA Key Generator
  • Shuffled Shift Cipher
  • Simple Substitution Cipher
  • Transposition Cipher
  • XOR Cipher

Data Structures

  • Bitset
  • Bloom Filter
  • Hash Table
  • Stack (Dynamic Array Based)

Heap

  • Binomial Heap
  • Fibonacci Heap
  • Min Heap
  • Randomized Heap

Linked List

  • Doubly Linked List
  • Circular Linked List
  • Singly Linked List
  • Skip List

Queue

  • Deque
  • Priority Queue
  • Queue (Dynamic Array Based)

Tree

  • (2,4) tree
  • AVL Tree
  • B Tree
  • Basic Binary Tree
  • Binary Search Tree
  • Fenwick Tree
  • Interval Tree
  • K-d tree
  • Link cut Tree
  • Merkle Tree
  • Quad Tree
  • Red-Black Tree
  • Segment Tree with lazy propagation
  • Splay Tree
  • Sqrt tree
  • Stern-Brocot Tree and Farey sequences
  • Treap/Cartesian Tree
  • van Emde Boas Tree

Union Find

  • Grid Percolation
  • Lowest Common Ancestors using DSU
  • Union Find with path compression

Dynamic Programming

  • Coin Change Problem
  • Coin Row Problem
  • Edit/Levenshtein Distance
  • Fibonacci (Fast Doubling)
  • Fibonacci (Matrix Exponentiation)
  • Fibonacci (Recursion with memoization)
  • Josephus Problem
  • Kadane's algorithm - Maximum Subarray Problem
  • 0-1 Knapsack Problem (Bounded)
  • 0-1 Knapsack Problem (Unbounded)
  • Longest Common Subsequence
  • Longest Common Substring
  • Longest Bitonic Subsequence
  • Longest Increasing Subsequence
  • Longest Palindrome Subsequence
  • Matrix Chain Multiplication
  • Shortest Common Supersequence
  • Subset Sum
  • Wildcard Pattern Matching
  • Word Break Problem

Fast Fourier Transform

  • Bluestein's FFT algorithm
  • Bruun's FFT algorithm
  • Cooley-Tukey algorithm
  • Prime factor FFT algorithm
  • Rader's FFT algorithm

Game Theory

  • Alpha-beta pruning
  • Minimax
  • Sprague-Grundy Theorem
  • SSS-* (State Space Search)

Geometry

  • Angles between vectors (2D, 3D)
  • Centroids
  • Closest Pair of Points
  • Collinear Points
  • Collision detection
  • Cone algorithm
  • Coplanar Points
  • Convex Hull (Chan's algorithm)
  • Convex Hull (Gift wrapping algorithm)
  • Convex Hull (Graham's scan)
  • Convex Hull (Quickhull)
  • Euclidean Distance
  • Geometric hashing
  • Gilbert-Johnson-Keerthi distance
  • Jump-and-Walk algorithm
  • Kirkpatrick-Seidel algorithm
  • Line segment intersection
  • Manhattan Distance
  • Mesh Generation
  • Minimum bounding box algorithm
  • Minkowski sum of convex polygons
  • Nearest Neighbour search
  • Pick's Theorem
  • Point in polygon
  • Point Rotation
  • Shoelace algorithm
  • Sweep line algorithm

Graph Theory

  • A-* Search
  • B-* Search
  • Adjacency List
  • Adjacency Matrix
  • Beam Search
  • Beam stack search
  • Bellman-Ford Shortest Path
  • Best first search
  • Bidirectional search
  • Bipartite Graph Check
  • Breadth First Search
  • Bron-Kerbosch algorithm
  • Christofides algorithm
  • Condensation Graph
  • Depth First Search
  • Detect and find cycles in a graph
  • Dijkstra's Shorted Path
  • D'Esopo-Pape algorithm
  • Edmonds' Algorithm
  • Euclidean shortest path problem
  • Euler Tour
  • Finding articulation points
  • Finding augmenting paths in a flow network
  • Finding bridges
  • Finding negative cycles
  • Floyd-Warshall Shortest Path
  • General Problem Solver
  • Girvan-Newman algorithm
  • Graph Coloring Algorithm
  • Heavy light decomposition
  • Hopcroft-Karp algorithm
  • Hungarian algorithm
  • Hyperlink-Induced Topic Search
  • Isomorphism
  • Iterative deepening DFS
  • Johnson's algorithm for sparse paths
  • Jump point search
  • Karger's algorithm
  • Kirchhoff's theorem
  • Kosaraju's algorithm - strongly connected components
  • Lexicographic BFS
  • Lowest Common Ancestor (Binary Lifting)
  • Lowest Common Ancestor (Farach-Colton and Bender algorithm)
  • Lowest Common Ancestor (Tarjan's off-line)
  • Longest path problem
  • Maximum Bipartite Matching
  • Maximum Flow (Dinic's Algorithm)
  • Maximum Flow (Ford-Fulkerson algorithm)
  • Maximum Flow (Push-relabel algorithm)
  • Minimum Spanning Tree (Kruskal)
  • Minimum Spanning Tree (Prim's)
  • Multifragment Heuristic
  • PageRank
  • Path-based strong components algorithm
  • Prufer coding
  • Strongly Connected Components
  • Subgraph isomorphism problem
  • Tarjan's strongly connected components
  • Topologically sort the nodes of a graph
  • Transitive Closure Problem
  • TrustRank
  • Uniform-cost search
  • Warnsdorff's rule - Knight's tour heuristic

Linear Algebra

  • Biconjugate gradient method
  • Freivalds' algorithm
  • Gaussian Elimination
  • Kraut & Determinant
  • Matrix Inverse
  • Matrix Multiplication - Normal
  • Matrix Transposition
  • Rank of a matrix
  • Strassen Matrix Multiplication
  • Symbolic Cholesky decomposition

Number Theory

  • ACORN Pseudorandom Number Generator
  • Addition chain exponentiation
  • AKS primality test
  • Armstrong Number
  • Baillie-PSW primality test
  • Binary Exponentiation
  • Blum Blum Shub Pseudorandom Number Generator
  • Booth's Multiplication Algorithm
  • Chakravala method
  • Chinese Remainder Problem
  • Collatz Sequence
  • Congruence of squares
  • Coprimality Check
  • Dixon's Algorithm
  • Euler Totient Function
  • Euclid's Algorithm
  • Extended Euclidean Algorithm
  • Factorial Modulo P
  • Factorials (Iterative)
  • Fermat's Factorization method
  • Fermat's Last Theorem
  • Fermat Primality test
  • Finding Full Reptend Primes
  • General Number Field Sieve
  • Karatsuba algorithm
  • Least Common Multiple
  • Lagged Fibonacci Pseudorandom Number Generator
  • Lenstra elliptic curve factorization
  • Linear Congruential Pseudorandom Number Generator
  • Linear Diophantine Equations
  • Logarithmic Exponentiation
  • Lucas primality test
  • Mersenne Twister Pseudorandom Number Generator
  • Modular Multiplicative Inverse
  • Modular Exponentiation
  • Montgomery Multiplication
  • Number of divisors
  • Odlyzko-Schonhage algorithm
  • P-adic valuation
  • Pollard's p - 1 algorithm
  • Pollard's rho algorithm
  • Prime Factors below N
  • Prime Factorizarion
  • Primality Check
  • Primitive Roots
  • Quadratic Sieve
  • Rabin Miller Primality Test (Deterministic)
  • Rabin Miller Primality Test (Probabilisitic)
  • Schonhage-Strassen algorithm
  • Shor's Algorithm
  • Sieve of Atkin
  • Sieve of Eratosthenes
  • Sieve of Sundaram
  • Special Number Field Sieve
  • Sum of Divisors
  • Toom-Cook multiplication
  • Tonelli-Shanks algorithm

Parsing

  • CYK parsing algorihm
  • LL Parsing
  • LR Parsing
  • Pratt Parsing
  • Recursive descent parsing
  • Shunting Yard algorithm

Sorting & Order Statistics

  • Bitonic Sort
  • Bogo Sort
  • Bubble Sort
  • Bucket Sort
  • Burst Sort
  • Comb Sort
  • Counting Sort
  • Cycle Sort
  • Flash Sort
  • Gnome Sort
  • Heap Sort
  • Insertion Sort
  • Introselect
  • Intro Sort
  • K-order statistic
  • Mergesort
  • Odd-even Sort
  • Pigeonhole Sort
  • Quicksort
  • Quickselect
  • Selection Sort
  • Shell Sort
  • Stooge Sort
  • Tim Sort
  • Tree Sort

Strings

  • Aho-Corasick string matching algorithm
  • Boyer-Moore String Search
  • Boyer-Moore-Horpspool String Search
  • Damerau-Levenshtein distance
  • Dice's coefficient
  • Hamming Distance
  • Jaro-Winkler distance
  • Krauss matching wildcards algorithm
  • Knuth-Morris-Pratt algorithm
  • Levenshtein edit distance
  • Longest Common Prefix Array
  • Longest Repeated Substring
  • Lyndon factorization
  • Manacher's algorithm
  • Rabin-Karp string matching algorithm
  • Radix Sort
  • Rich Salz' wildmat
  • String matching with finite automata
  • Suffix Array
  • Suffix Automaton
  • Suffix Tree
  • Trie
  • Ukkonen's algorithm
  • Wavelet tree
  • Z Function
  • Zhu-Takaoka string matching

Miscellaneous

  • 2-SAT
  • Balanced Ternary
  • Binary Search
  • Cellular Automata
  • Dekker's algorithm
  • Doomsday algorithm
  • Easter day algorithms
  • Fibonacci Search
  • Floyd-Rivest algorithm
  • Fractional Knapsack Problem
  • Generating subsets
  • Gray code
  • Hill Climbing Search
  • Hopcroft's algorithm
  • Jump Search
  • Integration by Simpson's Formula
  • Interpolation Search
  • Kleene's algorithm
  • Meet in the middle
  • Mo's algorithm
  • Newton's algorithm for finding roots
  • Powerset construction (aka Rabin-Scott subset construction)
  • Predictive Search
  • Range XOR
  • Simplex Algorithm
  • Simulated Annealing
  • Sqrt decomposition
  • Tabu Search
  • Ternary Search
  • Thompson's construction algorithm
  • Tomasulo algorithm
  • Tracing garbage collection
  • Uniform binary search
  • Xor swap algorithm
  • Zeller's congruence

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