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Title: GitHub - xiaoguo1987/java-algorithms-implementation: Algorithms and Data Structures implemented in Java

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	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation#table-of-contents
Data Structures	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation#data-structures
Mathematics	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation#mathematics
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	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation#data-structures
AVL Tree	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/AVLTree.java
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Binary Search Tree	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/BinarySearchTree.java
Compact Suffix Trie (backed by a Patricia Trie)	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/CompactSuffixTrie.java
Disjoint Set	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/DisjointSet.java
Fenwick Tree {Binary Indexed Tree (BIT)}	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/FenwickTree.java
Graph	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/Graph.java
Hash Array Mapped Trie (HAMT)	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/HashArrayMappedTrie.java
Hash Map (associative array)	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/HashMap.java
Interval Tree	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/IntervalTree.java
Implicit Key Treap	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/ImplicitKeyTreap.java
KD Tree (k-dimensional tree or k-d tree)	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/KDTree.java
List [backed by an array or a linked list]	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/List.java
LCP Array (Longest Common Prefix) [backed by a Suffix Array]	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/LCPArray.java
Matrix	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/Matrix.java
Patricia Trie	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/PatriciaTrie.java
Quad-Tree (Point-Region or MX-CIF)	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/QuadTree.java
Queue [backed by an array or a linked list]	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/Queue.java
Radix Trie (associative array) [backed by a Patricia Trie]	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/RadixTrie.java
Red-Black Tree	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/RedBlackTree.java
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Stack [backed by an array or a linked list]	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/Stack.java
Suffix Array	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/SuffixArray.java
Suffix Tree (Ukkonen's algorithm)	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/SuffixTree.java
Suffix Trie [backed by a Trie]	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/SuffixTrie.java
Ternary Search Tree	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/TernarySearchTree.java
Treap	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/Treap.java
Tree	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/Tree.java
Tree Map (associative array) [backed by an AVL Tree]	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/TreeMap.java
Trie	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/Trie.java
Trie Map (associative array) [backed by a Trie]	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/TrieMap.java
	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation#mathematics
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Exponentiation	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/mathematics/Exponentiation.java
Primes	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/mathematics/Primes.java
Co-Primes (relatively prime, mutually prime)	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/mathematics/Coprimes.java
Greatest Common Divisor	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/mathematics/GreatestCommonDivisor.java
Permutations	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/mathematics/Permutations.java
Modular arithmetic	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/mathematics/Modular.java
Knapsack	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/mathematics/Knapsack.java
Ramer Douglas Peucker	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/mathematics/RamerDouglasPeucker.java
	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation#numbers
Integers	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/numbers/Integers.java
Longs	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/numbers/Longs.java
Complex	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/numbers/Complex.java
	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation#graphs
Dijkstra's algorithm (non-negative weight graphs)	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/graph/Dijkstra.java
Bellman-Ford algorithm (negative and positive weight graphs)	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/graph/BellmanFord.java
Prim's (undirected graphs)	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/graph/Prim.java
Kruskal's (undirected graphs)	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/graph/Kruskal.java
Johnsons's algorithm (negative and positive weight graphs)	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/graph/Johnsons.java
Floyd-Warshall (negative and positive weight graphs)	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/graph/FloydWarshall.java
Cycle detection	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/graph/CycleDetection.java
Connected Components	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/graph/ConnectedComponents.java
Topological sort	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/graph/TopologicalSort.java
A* path finding algorithm	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/graph/AStar.java
Push-Relabel	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/graph/PushRelabel.java
Depth First Traversal	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/graph/DepthFirstTraversal.java
Breadth First Traversal	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/graph/BreadthFirstTraversal.java
Edmonds Karp	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/graph/EdmondsKarp.java
Turbo Matching	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/graph/TurboMatching.java
Lowest common ancestor in tree	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/data_structures/Tree.java
	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation#search
Linear	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/search/LinearSearch.java
Quickselect	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/search/QuickSelect.java
Binary [sorted array input only]	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/search/BinarySearch.java
Lower bound [sorted array input only]	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/search/LowerBound.java
Upper bound [sorted array input only]	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/search/UpperBound.java
Interpolation [sorted array input only]	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/search/InterpolationSearch.java
	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation#sequences
Find longest common subsequence (dynamic programming)	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/sequence/LongestCommonSubsequence.java
Find longest increasing subsequence (dynamic programming)	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/sequence/LongestIncreasingSubsequence.java
Find number of times a subsequence occurs in a sequence (dynamic programming)	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/sequence/SubsequenceCounter.java
Find i-th element in a Fibonacci sequence	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/sequence/FibonacciSequence.java
Find total of all elements in a sequence(Arithmetic Progression)	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/sequence/ArithmeticProgression.java
Largest sum of contiguous subarray (Kadane's algorithm)	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/sequence/LargestSumContiguousSubarray.java
Longest palindromic subsequence (dynamic programming)	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/sequence/LongestPalindromicSubsequence.java
	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation#sorts
American Flag Sort	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/sorts/AmericanFlagSort.java
Bubble Sort	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/sorts/BubbleSort.java
Counting Sort (Integers only)	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/sorts/CountingSort.java
Heap Sort	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/sorts/HeapSort.java
Insertion Sort	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/sorts/InsertionSort.java
Merge Sort	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/sorts/MergeSort.java
Quick Sort	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/sorts/QuickSort.java
Radix Sort (Integers only)	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/sorts/RadixSort.java
Shell's Sort	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/sorts/ShellSort.java
	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation#string-functions
String Functions	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/strings/StringFunctions.java
	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation#string-functions-1
Manacher's algorithm (Find the longest Palindrome)	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/strings/Manacher.java
	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation#manachers-algorithm-find-the-longest-palindrome
KMP (Knuth–Morris–Pratt) Algorithm - Length of maximal prefix-suffix for each prefix	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/strings/KnuthMorrisPratt.java
	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation#kmp-knuthmorrispratt-algorithm---length-of-maximal-prefix-suffix-for-each-prefix
String rotations	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation/blob/master/src/com/jwetherell/algorithms/strings/Rotation.java
	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation#string-rotations
Readme	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation#readme-ov-file
Apache-2.0 license	https://patch-diff.githubusercontent.com/xiaoguo1987/java-algorithms-implementation#Apache-2.0-1-ov-file
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