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https://github.com/TheAlgorithms/C-Sharp

All algorithms implemented in C#.
https://github.com/TheAlgorithms/C-Sharp

algorithm algorithms algorithms-and-data-structures c-sharp data-structures hacktoberfest

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All algorithms implemented in C#.

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# The Algorithms - C#

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## All Algorithms implemented in C# - for education purposes

The repository is a collection of a variety of algorithms implemented in C#. The algorithms span over a variety of topics
from computer science, mathematics and statistics, data science, machine learning, engineering, etc. The implementations
and their associated documentations are meant to provide a learning resource for educators and students. Hence, one may
find more than one implementation for the same objective but using different algorithm strategies and optimizations.

## List of Algorithms

* [Algorithms](./Algorithms)
* [Crypto](./Algorithms/Crypto/)
* [Paddings](./Algorithms/Crypto/Paddings/)
* [ISO 10125-2 Padding](./Algorithms/Crypto/Paddings/Iso10126D2Padding.cs)
* [ISO 7816-4 Padding](./Algorithms/Crypto/Paddings/Iso7816D4Padding.cs)
* [X9.32 Padding](./Algorithms/Crypto/Paddings/X932Padding.cs)
* [TBC Padding](./Algorithms/Crypto/Paddings/TbcPadding.cs)
* [PKCS7 Padding](./Algorithms/Crypto/Paddings/Pkcs7Padding.cs)
* [Digests](./Algorithms/Crypto/Digests/)
* [Ascon Hash Digest](./Algorithms/Crypto/Digests/AsconDigest.cs)
* [MD2 Digest](./Algorithms/Crypto/Digests/Md2Digest.cs)
* [Data Compression](./Algorithms/DataCompression)
* [Burrows-Wheeler transform](./Algorithms/DataCompression/BurrowsWheelerTransform.cs)
* [Huffman Compressor](./Algorithms/DataCompression/HuffmanCompressor.cs)
* [Shannon-Fano Compressor](./Algorithms/DataCompression/ShannonFanoCompressor.cs)
* [Encoders](./Algorithms/Encoders)
* [Caesar](./Algorithms/Encoders/CaesarEncoder.cs)
* [Vigenere](./Algorithms/Encoders/VigenereEncoder.cs)
* [Hill](./Algorithms/Encoders/HillEncoder.cs)
* [NYSIIS](./Algorithms/Encoders/NysiisEncoder.cs)
* [Soundex](./Algorithms/Encoders/SoundexEncoder.cs)
* [Feistel](./Algorithms/Encoders/FeistelCipher.cs)
* [Blowfish](./Algorithms/Encoders/BlowfishEncoder.cs)
* [Graph](./Algorithms/Graph)
* [Minimum Spanning Tree](./Algorithms/Graph/MinimumSpanningTree)
* [Prim's Algorithm (Adjacency Matrix)](./Algorithms/Graph/MinimumSpanningTree/PrimMatrix.cs)
* [Kruskal's Algorithm](./Algorithms/Graph/MinimumSpanningTree/Kruskal.cs)
* [BreadthFirstTreeTraversal](./Algorithms/Graph/BreadthFirstTreeTraversal.cs)
* [BreadthFirstSearch](./Algorithms/Graph/BreadthFirstSearch.cs)
* [DepthFirstSearch](./Algorithms/Graph/DepthFirstSearch.cs)
* [Dijkstra Shortest Path](./Algorithms/Graph/Dijkstra/DijkstraAlgorithm.cs)
* [FloydWarshall](./Algorithms/Graph/FloydWarshall.cs)
* [Kosaraju](./Algorithms/Graph/Kosaraju.cs)
* [Knapsack problem](./Algorithms/Knapsack)
* [Naive solver](./Algorithms/Knapsack/NaiveKnapsackSolver.cs)
* [Dynamic Programming solver](./Algorithms/Knapsack/DynamicProgrammingKnapsackSolver.cs)
* [Branch and bound solver](./Algorithms/Knapsack/BranchAndBoundKnapsackSolver.cs)
* [IHeuristicKnapsackSolver](./Algorithms/Knapsack/IHeuristicKnapsackSolver.cs)
* [Linear Algebra](./Algorithms/LinearAlgebra)
* [Distances](./Algorithms/LinearAlgebra/Distances)
* [Euclidean](./Algorithms/LinearAlgebra/Distances/Euclidean.cs)
* [Manhattan](./Algorithms/LinearAlgebra/Distances/Manhattan.cs)
* [Eigenvalue](./Algorithms/LinearAlgebra/Eigenvalue)
* [Power Iteration](./Algorithms/LinearAlgebra/Eigenvalue/PowerIteration.cs)
* [Modular Arithmetic](./Algorithms/ModularArithmetic)
* [Chinese Remainder Theorem](./Algorithms/ModularArithmetic/ChineseRemainderTheorem.cs)
* [Extended Euclidean Algorithm](./Algorithms/ModularArithmetic/ExtendedEuclideanAlgorithm.cs)
* [Modular Multiplicative Inverse](./Algorithms/ModularArithmetic/ModularMultiplicativeInverse.cs)
* [Numeric](./Algorithms/Numeric)
* [Absolute](./Algorithms/Numeric/Abs.cs)
* [Addition Without Arithmetic](./Algorithms/Numeric/AdditionWithoutArithmetic.cs)
* [Aliquot Sum Calculator](./Algorithms/Numeric/AliquotSumCalculator.cs)
* [Amicable Numbers Checker](./Algorithms/Numeric/AmicableNumbersChecker.cs)
* [Ceil](./Algorithms/Numeric/Ceil.cs)
* [Decomposition](./Algorithms/Numeric/Decomposition)
* [LU Decomposition](./Algorithms/Numeric/Decomposition/LU.cs)
* [Thin Singular Vector Decomposition](./Algorithms/Numeric/Decomposition/ThinSVD.cs)
* [Floor](./Algorithms/Floor.cs)
* [Greatest Common Divisor](./Algorithms/Numeric/GreatestCommonDivisor)
* [Euclidean GCD](./Algorithms/Numeric/GreatestCommonDivisor/EuclideanGreatestCommonDivisorFinder.cs)
* [Binary GCD](./Algorithms/Numeric/GreatestCommonDivisor/BinaryGreatestCommonDivisorFinder.cs)
* [Factorization](./Algorithms/Numeric/Factorization)
* [Trial division Factorization](./Algorithms/Numeric/Factorization/TrialDivisionFactorizer.cs)
* [Modular Exponentiation](./Algorithms/Numeric/ModularExponentiation.cs)
* [Series](./Algorithms/Numeric/Series)
* [Maclaurin Series](./Algorithms/Numeric/Series/Maclaurin.cs)
* [Gauss-Jordan Elimination](./Algorithms/Numeric/GaussJordanElimination.cs)
* [BinomialCoefficient](./Algorithms/Numeric/BinomialCoefficient.cs)
* [Factorial](./Algorithms/Numeric/Factorial.cs)
* [Keith Number Checker](./Algorithms/Numeric/KeithNumberChecker.cs)
* [Pseudo-Inverse](./Algorithms/Numeric/Pseudoinverse/PseudoInverse.cs)
* [Narcissistic Number Checker](./Algorithms/Numeric/NarcissisticNumberChecker.cs)
* [Perfect Cube Checker](./Algorithms/Numeric/PerfectCubeChecker.cs)
* [Perfect Number Checker](./Algorithms/Numeric/PerfectNumberChecker.cs)
* [Perfect Square Checker](./Algorithms/Numeric/PerfectSquareChecker.cs)
* [Euler Method](./Algorithms/Numeric/EulerMethod.cs)
* [Classic Runge-Kutta Method](./Algorithms/Numeric/RungeKuttaMethod.cs)
* [Miller-Rabin primality check](./Algorithms/Numeric/MillerRabinPrimalityChecker.cs)
* [KrishnamurthyNumberChecker](./Algorithms/Numeric/KrishnamurthyNumberChecker.cs)
* [Automorphic Number](./Algorithms/Numeric/AutomorphicNumber.cs)
* [Josephus Problem](./Algorithms/Numeric/JosephusProblem.cs)
* [Newton's Square Root Calculation](./Algorithms/NewtonSquareRoot.cs)
* [SoftMax Function](./Algorithms/Numeric/SoftMax.cs)
* [RecommenderSystem](./Algorithms/RecommenderSystem)
* [CollaborativeFiltering](./Algorithms/RecommenderSystem/CollaborativeFiltering)
* [Searches](./Algorithms/Search)
* [A-Star](./Algorithms/Search/AStar/)
* [Binary Search](./Algorithms/Search/BinarySearcher.cs)
* [BoyerMoore Search](./Algorithms/Search/BoyerMoore.cs)
* [Fast Search](./Algorithms/Search/FastSearcher.cs)
* [Fibonacci Search](./Algorithms/Search/FibonacciSearcher.cs)
* [Interpolation Search](./Algorithms/Search/InterpolationSearch.cs)
* [Jump Search](./Algorithms/Search/JumpSearcher.cs)
* [Linear Search](./Algorithms/Search/LinearSearcher.cs)
* [Recursive Binary Search](./Algorithms/Search/RecursiveBinarySearcher.cs)
* [Sorts](./Algorithms/Sorters)
* [Comparison](./Algorithms/Sorters/Comparison)
* [Binary Insertion Sort](./Algorithms/Sorters/Comparison/BinaryInsertionSorter.cs)
* [Bogo Sort](./Algorithms/Sorters/Comparison/BogoSorter.cs)
* [Bubble Sort](./Algorithms/Sorters/Comparison/BubbleSorter.cs)
* [Cocktail Sort](./Algorithms/Sorters/Comparison/CocktailSorter.cs)
* [Comb Sort](./Algorithms/Sorters/Comparison/CombSorter.cs)
* [Cycle Sort](./Algorithms/Sorters/Comparison/CycleSorter.cs)
* [Exchange Sort](./Algorithms/Sorters/Comparison/ExchangeSorter.cs)
* [Heap Sort](./Algorithms/Sorters/Comparison/HeapSorter.cs)
* [Insertion Sort](./Algorithms/Sorters/Comparison/InsertionSorter.cs)
* [Merge Sort](./Algorithms/Sorters/Comparison/MergeSorter.cs)
* [Pancake Sort](./Algorithms/Sorters/Comparison/PancakeSorter.cs)
* [Quick Sort](./Algorithms/Sorters/Comparison/QuickSorter.cs)
* [Median of three pivot](./Algorithms/Sorters/Comparison/MedianOfThreeQuickSorter.cs)
* [Middle point pivot](./Algorithms/Sorters/Comparison/MiddlePointQuickSorter.cs)
* [Random pivot](./Algorithms/Sorters/Comparison/RandomPivotQuickSorter.cs)
* [Selection Sort](./Algorithms/Sorters/Comparison/SelectionSorter.cs)
* [Shell Sort](./Algorithms/Sorters/Comparison/ShellSorter.cs)
* [Tim Sort](./Algorithms/Sorters/Comparison/TimSorter.cs)
* [Simplified Tim Sort](./Algorithms/Sorters/Comparison/BasicTimSorter.cs)
* [External](./Algorithms/Sorters/External)
* [Merge Sort](./Algorithms/Sorters/External/ExternalMergeSorter.cs)
* [Integer](./Algorithms/Sorters/Integer)
* [Counting Sort](./Algorithms/Sorters/Integer/CountingSorter.cs)
* [Bucket Sort](./Algorithms/Sorters/Integer/BucketSorter.cs)
* [Radix Sort](./Algorithms/Sorters/Integer/RadixSorter.cs)
* [String](./Algorithms/Sorters/String)
* [MSD Radix Sort](./Algorithms/Sorters/String/MsdRadixStringSorter.cs)
* [Shufflers](./Algorithms/Shufflers)
* [Fisher-Yates Shuffler](./Algorithms/Shufflers/FisherYatesShuffler.cs)
* [Sequences](./Algorithms/Sequences)
* [A000002 Kolakoski](./Algorithms/Sequences/KolakoskiSequence.cs)
* [A000004 Zero](./Algorithms/Sequences/ZeroSequence.cs)
* [A000005 Count of Divisors](./Algorithms/Sequences/DivisorsCountSequence.cs)
* [A000008 Make Change](./Algorithms/Sequences/MakeChangeSequence.cs)
* [A000010 Euler's Totient](./Algorithms/Sequences/EulerTotientSequence.cs)
* [A000012 All Ones](./Algorithms/Sequences/AllOnesSequence.cs)
* [A000027 Natural](./Algorithms/Sequences/NaturalSequence.cs)
* [A000032 Lucas Numbers](./Algorithms/Sequences/LucasNumbersBeginningAt2Sequence.cs)
* [A000040 Primes](./Algorithms/Sequences/PrimesSequence.cs)
* [A000045 Fibonacci](./Algorithms/Sequences/FibonacciSequence.cs)
* [A000079 Powers of 2](./Algorithms/Sequences/PowersOf2Sequence.cs)
* [A000108 Catalan](./Algorithms/Sequences/CatalanSequence.cs)
* [A000120 1's Counting](./Algorithms/Sequences/OnesCountingSequence.cs)
* [A000124 Central Polygonal Numbers](./Algorithms/Sequences/CentralPolygonalNumbersSequence.cs)
* [A000125 Cake Numbers](./Algorithms/Sequences/CakeNumbersSequence.cs)
* [A000142 Factorial](./Algorithms/Sequences/FactorialSequence.cs)
* [A000213 Tribonacci Numbers](./Algorithms/Sequences/TribonacciNumbersSequence.cs)
* [A000215 Fermat Numbers](./Algorithms/Sequences/FermatNumbersSequence.cs)
* [A000288 Tetranacci Numbers](./Algorithms/Sequences/TetranacciNumbersSequence.cs)
* [A000290 Squares](./Algorithms/Sequences/SquaresSequence.cs)
* [A000292 Tetrahedral numbers](./Algorithms/Sequences/TetrahedralSequence.cs)
* [A000578 Cubes](./Algorithms/Sequences/CubesSequence.cs)
* [A000720 PrimePi](./Algorithms/Sequences/PrimePiSequence.cs)
* [A001146 Number of Boolean Functions](./Algorithms/Sequences/NumberOfBooleanFunctionsSequence.cs)
* [A001462 Golomb's](./Algorithms/Sequences/GolombsSequence.cs)
* [A001478 Negative Integers](./Algorithms/Sequences/NegativeIntegersSequence.cs)
* [A002110 Primorial Numbers](./Algorithms/Sequences/PrimorialNumbersSequence.cs)
* [A002717 Matchstick Triangle Arrangement](./Algorithms/Sequences/MatchstickTriangleSequence.cs)
* [A005132 Recaman's](./Algorithms/Sequences/RecamansSequence.cs)
* [A006577 Number of '3n+1' steps to reach 1](./Algorithms/Sequences/ThreeNPlusOneStepsSequence.cs)
* [A006862 Euclid Numbers](./Algorithms/Sequences/EuclidNumbersSequence.cs)
* [A006879 Number of Primes by Number of Digits](./Algorithms/Sequences/NumberOfPrimesByNumberOfDigitsSequence.cs)
* [A006880 Number of Primes by Powers of 10](./Algorithms/Sequences/NumberOfPrimesByPowersOf10Sequence.cs)
* [A007318 Binomial](./Algorithms/Sequences/BinomialSequence.cs)
* [A007395 All Twos](./Algorithms/Sequences/AllTwosSequence.cs)
* [A010051 Binary Prime Constant](./Algorithms/Sequences/BinaryPrimeConstantSequence.cs)
* [A010701 All Threes](./Algorithms/Sequences/BinaryPrimeConstantSequence.cs)
* [A011557 Powers of 10](./Algorithms/Sequences/PowersOf10Sequence.cs)
* [A057588 Kummer Numbers](./Algorithms/Sequences/KummerNumbersSequence.cs)
* [A019434 Fermat Primes](./Algorithms/Sequences/FermatPrimesSequence.cs)
* [A181391 Van Eck's](./Algorithms/Sequences/VanEcksSequence.cs)
* [Stack](./Algorithms/Stack)
* [Next Greater Element](./Algorithms/Stack/NextGreaterElement.cs)
* [Balanced Parentheses Checker](./Algorithms/Stack/BalancedParenthesesChecker.cs)
* [Reverse Stack](./Algorithms/Stack/ReverseStack.cs)
* [String](./Algorithms/Strings)
* [Similarity](./Algorithms/Strings/Similarity/)
* [Cosine Similarity](./Algorithms/Strings/Similarity/CosineSimilarity.cs)
* [Damerau-Levenshtein Distance](./Algorithms/Strings/Similarity/DamerauLevenshteinDistance.cs)
* [Hamming Distance](./Algorithms/Strings/Similarity/HammingDistance.cs)
* [Jaro Similarity](./Algorithms/Strings/Similarity/JaroSimilarity.cs)
* [Jaro-Winkler Distance](./Algorithms/Strings/Similarity/JaroWinklerDistance.cs)
* [Optimal String Alignment](./Algorithms/Strings/Similarity/OptimalStringAlignment.cs)
* [Pattern Matching](./Algorithms/Strings/PatternMatching/)
* [Bitop Pattern Matching](./Algorithms/Strings/PatternMatching/Bitap.cs)
* [Naive String Search](./Algorithms/Strings/PatternMatching/NaiveStringSearch.cs)
* [Rabin Karp](./Algorithms/Strings/PatternMatching/RabinKarp.cs)
* [Boyer Moore](./Algorithms/Strings/PatternMatching/BoyerMoore.cs)
* [Knuth–Morris–Pratt Search](./Algorithms/Strings/PatternMatching/KnuthMorrisPrattSearcher.cs)
* [WildCard Pattern Matching](./Algorithms/Strings/PatternMatching/WildCardMatcher.cs)
* [Z-block substring search](./Algorithms/Strings/PatternMatching/ZblockSubstringSearch.cs)
* [Longest Consecutive Character](./Algorithms/Strings/GeneralStringAlgorithms.cs)
* [Palindrome Checker](./Algorithms/Strings/Palindrome.cs)
* [Get all permutations of a string](./Algorithms/Strings/Permutation.cs)
* [Other](./Algorithms/Other)
* [Fermat Prime Checker](./Algorithms/Other/FermatPrimeChecker.cs)
* [Sieve of Eratosthenes](./Algorithms/Other/SieveOfEratosthenes.cs)
* [Luhn](./Algorithms/Other/Luhn.cs)
* [Int2Binary](./Algorithms/Other/Int2Binary.cs)
* [GeoLocation](./Algorithms/Other/GeoLocation.cs)
* [Mandelbrot](./Algorithms/Other/Mandelbrot.cs)
* [Koch Snowflake](./Algorithms/Other/KochSnowflake.cs)
* [RGB-HSV Conversion](./Algorithms/Other/RGBHSVConversion.cs)
* [Flood Fill](./Algorithms/Other/FloodFill.cs)
* [Pareto Optimization](./Algorithms/Other/ParetoOptimization.cs)
* [Gauss Optimization](./Algorithms/Other/GaussOptimization.cs)
* [Decisions Convolutions](./Algorithms/Other/DecisionsConvolutions.cs)
* [Welford's Variance](./Algorithms/Other/WelfordsVariance.cs)
* [Julian Easter](./Algorithms/Other/JulianEaster.cs)
* [Pollard's Rho](./Algorithms/Other/PollardsRhoFactorizing.cs)
* [GeoLocation Hash](./Algorithms/Other/Geohash.cs)
* [Geofencing](./Algorithms/Other/Geofence.cs)
* [Triangulation Algorithm](./Algorithms/Other/Triangulator.cs)
* [Problems](./Algorithms/Problems)
* [Stable Marriage](./Algorithms/Problems/StableMarriage)
* [Gale-Shapley](./Algorithms/Problems/StableMarriage/GaleShapley.cs)
* [Accepter](./Algorithms/Problems/StableMarriage/Accepter.cs)
* [Proposer](./Algorithms/Problems/StableMarriage/Proposer.cs)
* [N-Queens](./Algorithms/Problems/NQueens)
* [Backtracking](./Algorithms/Problems/NQueens/BacktrackingNQueensSolver.cs)
* [Dynamic Programming](./Algorithms/Problems/DynamicProgramming)
* [Coin Change](./Algorithms/Problems/DynamicProgramming/CoinChange/DynamicCoinChangeSolver.cs)
* [Levenshtein Distance](./Algorithms/Problems/DynamicProgramming/LevenshteinDistance/LevenshteinDistance.cs)

* [Data Structures](./DataStructures)
* [Bit Array](./DataStructures/BitArray.cs)
* [Timeline](./DataStructures/Timeline.cs)
* [Segment Trees](./DataStructures/SegmentTrees)
* [Segment Tree](./DataStructures/SegmentTrees/SegmentTree.cs)
* [Segment Tree Multiplication](./DataStructures/SegmentTrees/SegmentTreeApply.cs)
* [Segment Tree Update](./DataStructures/SegmentTrees/SegmentTreeUpdate.cs)
* [Binary Search Tree](./DataStructures/BinarySearchTree)
* [Scapegoat Tree](./DataStructures/ScapegoatTree)
* [Fenwick tree (or Binary Indexed Tree)](./DataStructures/Fenwick/BinaryIndexedTree.cs)
* [AA Tree](./DataStructures/AATree)
* [AVL Tree](./DataStructures/AVLTree)
* [Red-Black Tree](./DataStructures/RedBlackTree)
* [Stack](./DataStructures/Stack)
* [Array-based Stack](./DataStructures/Stack/ArrayBasedStack.cs)
* [List-based Stack](./DataStructures/Stack/ListBasedStack.cs)
* [Queue-based Stack](./DataStructures/Stack/QueueBasedStack.cs)
* [Heap](./DataStructures/Heap)
* [Min-Max Heap](./DataStructures/Heap/MinMaxHeap.cs)
* [Binary Heap](./DataStructures/Heap/BinaryHeap.cs)
* [Fibonacci Heap](./DataStructures/Heap/FibonacciHeap/FibonacciHeap.cs)
* [Pairing Heap](./DataStructures/Heap/PairingHeap/PairingHeap.cs)
* [Probabilistic](./DataStructures/Probabilistic)
* [BloomFilter](./DataStructures/Probabilistic/BloomFilter.cs)
* [Count-Min Sketch](./DataStructures/Probabilistic/CountMinSketch.cs)
* [HyperLogLog](./DataStructures/Probabilistic/HyperLogLog.cs)
* [Queue](./DataStructures/Queue)
* [Array-based Queue](./DataStructures/Queue/ArrayBasedQueue.cs)
* [List-based Queue](./DataStructures/Queue/ListBasedQueue.cs)
* [Stack-based Queue](./DataStructures/Queue/StackBasedQueue.cs)
* [Linked List](./DataStructures/LinkedList)
* [Singly Linked List](./DataStructures/LinkedList/SinglyLinkedList/SinglyLinkedList.cs)
* [Doubly Linked List](./DataStructures/LinkedList/DoublyLinkedList/DoublyLinkedList.cs)
* [Skip List](./DataStructures/LinkedList/SkipList/SkipList.cs)
* [Circular Linked List](./DataStructures/LinkedList/CircularLinkedList/CircularLinkedList.cs)
* [Graph](./DataStructures/Graph)
* [Directed Weighted Graph Via Adjacency Matrix](./DataStructures/Graph/DirectedWeightedGraph.cs)
* [Disjoint Set](./DataStructures/DisjointSet)
* [SortedList](./DataStructures/SortedList.cs)
* [Inverted index](./DataStructures/InvertedIndex.cs)
* [Unrolled linked list](./DataStructures/UnrolledList/UnrolledLinkedList.cs)
* [Tries](./DataStructures/Tries/Trie.cs)
* [HashTable](./DataStructures/Hashing/HashTable.cs)
* [Cache](./DataStructures/Cache)
* [Least Frequently Used (LFU) Cache](./DataStructures/Cache/LfuCache.cs)
* [Least Recently Used (LRU) Cache](./DataStructures/Cache/LruCache.cs)

## Project Update: .NET 8 Migration

As part of our continuous effort to stay up-to-date with the latest technologies, we have migrated our project to .NET 8. This upgrade enhances our project with the latest features and improvements from the .NET ecosystem.

### New Requirements

* To build and run this project, **.NET 8 SDK** is now required.
* Ensure your development tools are compatible with .NET 8.

### Building the Project

* With .NET 8 SDK installed, you can build the project using the standard `dotnet build` command.
* All existing build scripts have been updated to accommodate the .NET 8 SDK.

### Running Tests

* Our comprehensive suite of unit tests ensures compatibility with .NET 8.
* Run tests using the `dotnet test` command as usual.

## Contributing

You can contribute with pleasure to this repository.
Please orient on the directory structure and overall code style of this repository
and refer to [our contributing guidelines](./CONTRIBUTING.md) for more details.
If you want to ask a question or suggest something, please open an issue.