Java : Algorithms and Data Structure

Algorithms and Data Structures implemented in Java

This is a collection of algorithms and data structures which I've implement over the years in my academic and professional life. The code isn't overly-optimized but is written to be correct and readable. The algorithms and data structures are well tested and, unless noted, are believe to be 100% correct.

Created by Justin Wetherell

• For questions use: http://groups.google.com/forum/#!forum/java-algorithms-implementation
• Google: http://code.google.com/p/java-algorithms-implementation
• Github: http://github.com/phishman3579/java-algorithms-implementation
• LinkedIn: http://www.linkedin.com/in/phishman3579
• E-mail: phishman3579@gmail.com
• Twitter: http://twitter.com/phishman3579

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What's been implemented:

Table of Contents

• Data Structures
• Mathematics
• Numbers
• Graphs
• Search
• Sequences
• Sorts
• String Functions

Data Structures

• AVL Tree
• B-Tree
• Binary Heap (backed by an array or a tree)
• Binary Search Tree
• Compact Suffix Trie (backed by a Patricia Trie)
• Disjoint Set
• Fenwick Tree {Binary Indexed Tree (BIT)}
• Graph
  • Undirected
  • Directed (Digraph)
• Hash Array Mapped Trie (HAMT)
• Hash Map (associative array)
• Interval Tree
• Implicit Key Treap
• KD Tree (k-dimensional tree or k-d tree)
• List [backed by an array or a linked list]
• LCP Array (Longest Common Prefix) [backed by a Suffix Array]
• Matrix
• Patricia Trie
• Quad-Tree (Point-Region or MX-CIF)
• Queue [backed by an array or a linked list]
• Radix Trie (associative array) [backed by a Patricia Trie]
• Red-Black Tree
• Segment Tree
• Skip List
• Splay Tree
• Stack [backed by an array or a linked list]
• Suffix Array
• Suffix Tree (Ukkonen's algorithm)
• Suffix Trie [backed by a Trie]
• Ternary Search Tree
• Treap
• Tree
• Tree Map (associative array) [backed by an AVL Tree]
• Trie
• Trie Map (associative array) [backed by a Trie]

Mathematics

• Distance
  • chebyshev
  • euclidean
• Division
  • using a loop
  • using recursion
  • using shifts and multiplication
  • using only shifts
  • using logarithm
• Multiplication
  • using a loop
  • using recursion
  • using only shifts
  • using logarithms
  • Fast Fourier Transform
• Exponentiation
  • recursive exponentiation
  • fast recursive exponentiation
  • fast modular recursive exponentiation
• Primes
  • is prime
  • prime factorization
  • sieve of eratosthenes
  • Miller-Rabin test
  • Co-Primes (relatively prime, mutually prime)
  • Greatest Common Divisor
    • using Euclid's algorithm
    • using recursion
• Permutations
  • strings
  • numbers
• Modular arithmetic
  • add
  • subtract
  • multiply
  • divide
  • power
• Knapsack
• Ramer Douglas Peucker

Numbers

• Integers
  • to binary String
    • using divide and modulus
    • using right shift and modulus
    • using BigDecimal
    • using divide and double
  • is a power of 2
    • using a loop
    • using recursion
    • using logarithm
    • using bits
  • to English (e.g. 1 would return "one")
• Longs
  • to binary String
    • using divide and modulus
    • using right shift and modulus
    • using BigDecimal
• Complex
  • addition
  • subtraction
  • multiplication
  • absolute value
  • polar value

Graphs

• Find shortest path(s) in a Graph from a starting Vertex
  • Dijkstra's algorithm (non-negative weight graphs)
  • Bellman-Ford algorithm (negative and positive weight graphs)
• Find minimum spanning tree
  • Prim's (undirected graphs)
  • Kruskal's (undirected graphs)
• Find all pairs shortest path
  • Johnsons's algorithm (negative and positive weight graphs)
  • Floyd-Warshall (negative and positive weight graphs)
• Cycle detection
  • Depth first search while keeping track of visited Verticies
  • Connected Components
• Topological sort
• A* path finding algorithm
• Maximum flow
  • Push-Relabel
• Graph Traversal
  • Depth First Traversal
  • Breadth First Traversal
• Edmonds Karp
• Matching
  • Turbo Matching
• Lowest common ancestor in tree

Search

• Get index of value in array
  • Linear
  • Quickselect
  • Binary [sorted array input only]
  • Lower bound [sorted array input only]
  • Upper bound [sorted array input only]
  • Optimized binary (binary until a threashold then linear) [sorted array input only]
  • Interpolation [sorted array input only]

Sequences

• Find longest common subsequence (dynamic programming)
• Find longest increasing subsequence (dynamic programming)
• Find number of times a subsequence occurs in a sequence (dynamic programming)
• Find i-th element in a Fibonacci sequence
  • using a loop
  • using recursion
  • using matrix multiplication
  • using Binet's formula
• Find total of all elements in a sequence(Arithmetic Progression)
  • using a loop
  • using Triangular numbers
• Largest sum of contiguous subarray (Kadane's algorithm)
• Longest palin­dromic sub­se­quence (dynamic programming)

Sorts

• American Flag Sort
• Bubble Sort
• Counting Sort (Integers only)
• Heap Sort
• Insertion Sort
• Merge Sort
• Quick Sort
• Radix Sort (Integers only)
• Shell's Sort

String Functions

String Functions

• Reverse characters in a string
  • using additional storage (a String or StringBuilder)
  • using in-place swaps
  • using in-place XOR
• Reverse words in a string
  • using char swaps and additional storage (a StringBuilder)
  • using StringTokenizer and additional (a String)
  • using split() method and additional storage (a StringBuilder and String[])
  • using in-place swaps
• Is Palindrome
  • using additional storage (a StringBuilder)
  • using in-place symetric element compares
• Subsets of characters in a String
• Edit (Levenshtein) Distance of two Strings (Recursive, Iterative)

Manacher's algorithm (Find the longest Palindrome)

KMP (Knuth–Morris–Pratt) Algorithm - Length of maximal prefix-suffix for each prefix

String rotations

• Find in lexicographically minimal string rotation
• Find in lexicographically maximal string rotation