# The Algorithms - Java
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NOTE: A [Development](https://github.com/TheAlgorithms/Java/tree/Development) branch is made for this repo where we are trying to migrate the existing project to a Java project structure. You can switch to [Development](https://github.com/TheAlgorithms/Java/tree/Development) branch for contributions. Please refer [this issue](https://github.com/TheAlgorithms/Java/issues/474) for more info.
### All algorithms implemented in Java (for education)
These are for demonstration purposes only. There are many implementations of sorts in the Java standard library that are much better for performance reasons.
## Sort Algorithms
### Bubble
![alt text][bubble-image]
From [Wikipedia][bubble-wiki]: Bubble sort, sometimes referred to as sinking sort, is a simple sorting algorithm that repeatedly steps through the list to be sorted, compares each pair of adjacent items and swaps them if they are in the wrong order. The pass through the list is repeated until no swaps are needed, which indicates that the list is sorted.
__Properties__
* Worst case performance O(n^2)
* Best case performance O(n)
* Average case performance O(n^2)
##### View the algorithm in [action][bubble-toptal]
### Insertion
![alt text][insertion-image]
From [Wikipedia][insertion-wiki]: Insertion sort is a simple sorting algorithm that builds the final sorted array (or list) one item at a time. It is much less efficient on large lists than more advanced algorithms such as quicksort, heapsort, or merge sort.
In the figure, each bar represents an element of an array that needs to be sorted. What happens at the first intersection of the top most and second top most bars is to swap these elements, represented by bars, because the second element has a higher precedence than the first element does. By repeating this method, insertion sort completes sorting.
__Properties__
* Worst case performance O(n^2)
* Best case performance O(n)
* Average case performance O(n^2)
##### View the algorithm in [action][insertion-toptal]
### Merge
![alt text][merge-image]
From [Wikipedia][merge-wiki]: In computer science, merge sort (also commonly spelt mergesort) is an efficient, general-purpose, comparison-based sorting algorithm. Most implementations produce a stable sort, which means that the implementation preserves the input order of equal elements in the sorted output. Mergesort is a divide and conquer algorithm that was invented by John von Neumann in 1945.
__Properties__
* Worst case performance O(n log n) (typical)
* Best case performance O(n log n)
* Average case performance O(n log n)
##### View the algorithm in [action][merge-toptal]
### Quick
![alt text][quick-image]
From [Wikipedia][quick-wiki]: Quicksort (sometimes called partition-exchange sort) is an efficient sorting algorithm, serving as a systematic method for placing the elements of an array in order.
__Properties__
* Worst case performance O(n^2)
* Best case performance O(n log n) or O(n) with three-way partition
* Average case performance O(n log n)
##### View the algorithm in [action][quick-toptal]
### Selection
![alt text][selection-image]
From [Wikipedia][selection-wiki]: The algorithm divides the input list into two parts: the sublist of items already sorted, which is built up from left to right at the front (left) of the list, and the sublist of items remaining to be sorted that occupy the rest of the list. Initially, the sorted sublist is empty and the unsorted sublist is the entire input list. The algorithm proceeds by finding the smallest (or largest, depending on sorting order) element in the unsorted sublist, exchanging (swapping) it with the leftmost unsorted element (putting it in sorted order), and moving the sublist boundaries one element to the right.
__Properties__
* Worst case performance O(n^2)
* Best case performance O(n^2)
* Average case performance O(n^2)
##### View the algorithm in [action][selection-toptal]
### Shell
![alt text][shell-image]
From [Wikipedia][shell-wiki]: Shellsort is a generalization of insertion sort that allows the exchange of items that are far apart. The idea is to arrange the list of elements so that, starting anywhere, considering every nth element gives a sorted list. Such a list is said to be h-sorted. Equivalently, it can be thought of as h interleaved lists, each individually sorted.
__Properties__
* Worst case performance O(nlog2 2n)
* Best case performance O(n log n)
* Average case performance depends on gap sequence
##### View the algorithm in [action][shell-toptal]
### Time-Complexity Graphs
Comparing the complexity of sorting algorithms (Bubble Sort, Insertion Sort, Selection Sort)
[Complexity Graphs](https://github.com/prateekiiest/Python/blob/master/sorts/sortinggraphs.png)
----------------------------------------------------------------------------------
## Search Algorithms
### Linear
![alt text][linear-image]
From [Wikipedia][linear-wiki]: linear search or sequential search is a method for finding a target value within a list. It sequentially checks each element of the list for the target value until a match is found or until all the elements have been searched.
The linear search runs in at the worst linear time and makes at most n comparisons, where n is the length of the list.
__Properties__
* Worst case performance O(n)
* Best case performance O(1)
* Average case performance O(n)
* Worst case space complexity O(1) iterative
##### View the algorithm in [action][linear-tutorialspoint]
### Binary
![alt text][binary-image]
From [Wikipedia][binary-wiki]: Binary search, also known as half-interval search or logarithmic search, is a search algorithm that finds the position of a target value within a sorted array. It compares the target value to the middle element of the array; if they are unequal, the half in which the target cannot lie is eliminated and the search continues on the remaining half until it is successful.
__Properties__
* Worst case performance O(log n)
* Best case performance O(1)
* Average case performance O(log n)
* Worst case space complexity O(1)
##### View the algorithm in [action][binary-tutorialspoint]
[bubble-toptal]: https://www.toptal.com/developers/sorting-algorithms/bubble-sort
[bubble-wiki]: https://en.wikipedia.org/wiki/Bubble_sort
[bubble-image]: https://upload.wikimedia.org/wikipedia/commons/thumb/8/83/Bubblesort-edited-color.svg/220px-Bubblesort-edited-color.svg.png "Bubble Sort"
[insertion-toptal]: https://www.toptal.com/developers/sorting-algorithms/insertion-sort
[insertion-wiki]: https://en.wikipedia.org/wiki/Insertion_sort
[insertion-image]: https://upload.wikimedia.org/wikipedia/commons/7/7e/Insertionsort-edited.png "Insertion Sort"
[quick-toptal]: https://www.toptal.com/developers/sorting-algorithms/quick-sort
[quick-wiki]: https://en.wikipedia.org/wiki/Quicksort
[quick-image]: https://upload.wikimedia.org/wikipedia/commons/6/6a/Sorting_quicksort_anim.gif "Quick Sort"
[merge-toptal]: https://www.toptal.com/developers/sorting-algorithms/merge-sort
[merge-wiki]: https://en.wikipedia.org/wiki/Merge_sort
[merge-image]: https://upload.wikimedia.org/wikipedia/commons/c/cc/Merge-sort-example-300px.gif "Merge Sort"
[selection-toptal]: https://www.toptal.com/developers/sorting-algorithms/selection-sort
[selection-wiki]: https://en.wikipedia.org/wiki/Selection_sort
[selection-image]: https://upload.wikimedia.org/wikipedia/commons/thumb/b/b0/Selection_sort_animation.gif/250px-Selection_sort_animation.gif "Selection Sort Sort"
[shell-toptal]: https://www.toptal.com/developers/sorting-algorithms/shell-sort
[shell-wiki]: https://en.wikipedia.org/wiki/Shellsort
[shell-image]: https://upload.wikimedia.org/wikipedia/commons/d/d8/Sorting_shellsort_anim.gif "Shell Sort"
[linear-wiki]: https://en.wikipedia.org/wiki/Lin
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All Algorithms implemented in Java.zip (150个子文件)
.gitignore 398B
AES.java 27KB
ClosestPair.java 12KB
RedBlackBST.java 9KB
BinaryTree.java 8KB
ColumnarTranspositionCipher.java 8KB
DoublyLinkedList.java 7KB
CRCAlgorithm.java 6KB
Dijkstra.java 6KB
SkylineAlgorithm.java 6KB
GenericTree.java 6KB
LowestBasePalindrome.java 6KB
PerlinNoise.java 6KB
SJF.java 5KB
AnyBaseToAnyBase.java 5KB
BellmanFord.java 5KB
AVLTree.java 5KB
CursorLinkedList.java 5KB
MaxHeap.java 5KB
MinHeap.java 5KB
MatrixGraphs.java 4KB
QueueUsingTwoStacks.java 4KB
TrieImp.java 4KB
SinglyLinkedList.java 4KB
StackArray.java 4KB
Graphs.java 4KB
ConnectedComponent.java 4KB
NodeStack.java 4KB
MinPriorityQueue.java 4KB
AESEncryption.java 4KB
SkylineProblem.java 4KB
Caesar.java 4KB
HeapSort.java 4KB
CircularBuffer.java 4KB
Queues.java 4KB
MatrixChainMultiplication.java 4KB
FloydWarshall.java 3KB
HeapElement.java 3KB
PrimMST.java 3KB
TernarySearch.java 3KB
CountingSort.java 3KB
PriorityQueues.java 3KB
Bag.java 3KB
TreeTraversal.java 3KB
TopKWords.java 3KB
EditDistance.java 3KB
QuickSort.java 3KB
MergeSort.java 3KB
BalancedBrackets.java 3KB
BinarySearch.java 3KB
Fibonacci.java 3KB
PrintTopViewofTree.java 3KB
CoinChange.java 3KB
RSA.java 2KB
IterativeBinarySearch.java 2KB
Dijkshtra.java 2KB
StackArrayList.java 2KB
IterativeTernarySearch.java 2KB
InterpolationSearch.java 2KB
Cycles.java 2KB
GenericArrayListQueue.java 2KB
SaddlebackSearch.java 2KB
StackOfLinkedList.java 2KB
FordFulkerson.java 2KB
LongestCommonSubsequence.java 2KB
CircleLinkedList.java 2KB
MinimizingLateness.java 2KB
CycleSort.java 2KB
LinearCongruentialGenerator.java 2KB
CombSort.java 2KB
DecimalToAnyBase.java 2KB
SortUtils.java 2KB
heap_sort.java 2KB
HexToOct.java 2KB
Vigenere.java 2KB
ReverseStackUsingRecursion.java 2KB
LinearSearch.java 2KB
CocktailShakerSort.java 2KB
AnyBaseToDecimal.java 2KB
LongestIncreasingSubsequence.java 2KB
ReturnSubsequence.java 2KB
KMP.java 2KB
LevenshteinDistance.java 2KB
OctalToHexadecimal.java 2KB
BinaryToHexadecimal.java 2KB
LongestValidParentheses.java 2KB
Armstrong.java 2KB
PalindromePrime.java 1KB
DecimalToBinary.java 1KB
SelectionSort.java 1KB
InsertDeleteInArray.java 1KB
Factorial.java 1KB
Heap.java 1KB
InsertionSort.java 1KB
RomanToInteger.java 1KB
BogoSort.java 1KB
BubbleSort.java 1KB
EggDropping.java 1KB
RadixSort.java 1KB
PasswordGen.java 1KB
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