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Algorithms To Solve Problems and Books to Follow

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  • Prime Miller Rabin
  • Matrix Recurrence + Fast Modulo Multiplication for counting
  • Stable Marriage Problem
  • Gaussian Elimination
  • Numerical Integration/Differentiation
  • Line Clipping
  • Advanced Maths Ad-Hoc problems
  • Aho–Corasick string matching algorithm;
  • Calculate nCr % M Lucas's Theorem
  • Heavy Light decomposition in trees
  • Inverse Modulo operations
  • Pollard Rho Integer Factorization
  • Flow related algorithms, assignment problem, Hungarian algorithm
  • Bipartite matching algorithms
  • Heavy-light decomposition
  • Sweep line algorithm
  • Z algorithm
  • Convex Hull
  • Suffix Arrays
  • LCP
  • Extended Euclid's algorithm
  • Ternary Search
  • Segment tree (with lazy propagation)
  • Interval Tree
  • Binary Indexed Tree
  • Fast Modulo Multiplication (Exponential Squaring)
  • Heuristic Algorithms
  • KMP string searching
  • Manacher's Algorithm
  • Union Find/Disjoint Set
  • Trie
  • Fast Fourier Transform for fast polynomial multiplication
  • Djikstra's algorithm, Bellman-ford algorithm, Floyd-Warshall Algorithm
  • Prim's Algorithm, Kruskal's Algorithm
  • RMQ, LCA
  • Suffix Tree
  • Catalan Numbers

For Data Structure and Algorithm, follow Data Structure and Algorithm made Easy by Narashima Kauromanchi


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