imraniac / codelibrary

:gem:Collection of algorithms and data structures

Collection of algorithms and data structures in Java and C++ (for different languages see codelibrary-sandbox)

Data structures

• Segment tree
• Segment tree for sum with lowerBound operation
• Segment tree without recursion
• Fenwick tree
• Fenwick tree with extended operations
• Persistent tree
• Centroid decomposition
• Heavy/light decomposition
• Link/cut tree
• Link/cut tree for connectivity query
• Link/cut tree for LCA query
• Binary heap
• Binary heap with change priority
• Disjoint sets
• Treap with implicit key
• Treap as BST
• k-d tree for point query
• k-d tree for rectangular query
• R-tree
• Metric tree
• Quadtree
• Mergeable heap
• Queue with minimum
• Sparse table for RMQ

Graph algorithms

• Shortest paths
• Maximum flow
• Maximum matching
• Maximum weighted matching in general graph (contribute a link or implementation)
• Spanning tree
• Connectivity
• Biconnectivity
• LCA
• Planarity testing (contribute a link or implementation)
• Dynamic graph connectivity (contribute a link or implementation)
• Chu–Liu/Edmonds' algorithm (contribute a link or implementation)
• Minimum augmentation to strong connectivity (contribute a link or implementation)
• Minimum augmentation to biconnectivity (contribute a link or implementation)

String algorithms

• Knuth-Morris-Pratt algorithm
• Aho-Corasick algorithm
• Suffix array. Radix sort algorithm in O(n*log(n))
• Suffix array. Algorithm DC3 in O(n)
• suffix automata
• Suffix tree
• Trie
• Z-function
• Hashing
• Parsing
• Implement palindrome tree (contribute a link or implementation)
• Sorting strings in linear time (contribute a link or implementation)

Sorting algorithms

• Sorting algorithms
• N-th element

Geometry algorithms

• Segments intesection
• Line operations
• Circle operations
• Convex hull
• Point in polygon query
• Closest pair of points
• Furthest pair of points
• Implement quaternion (contribute a link or implementation)

Optimization

• Simplex algorithm

Numerical algorithms

• Long arithmetics
• Fast Fourier transform
• Karatsuba multiplication
• Newton interpolation
• Laguerre's root-finding algorithm

Number theory

• Primes and divisors
• Factorization
• Euclidean algorithm
• Multiplicative function
• Rational numbers
• Implement polynom class (contribute a link or implementation)

Combinatorics

• Permutations
• Combinations
• Arrangements
• Partitions
• Binomial coefficients

Linear algebra

• Gaussian elimination
• Determinant calculation
• Matrix operations