commit fb1d6d3f57619f8debb7579fc2b7a6dc34b0efe3 Author: NIHART, Jeremi Date: Sun Sep 8 17:59:59 2024 +0200 feat: sudoku solver 2D using recursive backtracking diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..5e7adaf --- /dev/null +++ b/.gitignore @@ -0,0 +1,684 @@ +# Created by https://www.toptal.com/developers/gitignore/api/rider,visualstudiocode,dotnetcore,csharp,visualstudio +# Edit at https://www.toptal.com/developers/gitignore?templates=rider,visualstudiocode,dotnetcore,csharp,visualstudio + +### Csharp ### +## Ignore Visual Studio temporary files, build results, and +## files generated by popular Visual Studio add-ons. +## +## Get latest from https://github.com/github/gitignore/blob/main/VisualStudio.gitignore + +# User-specific files +*.rsuser +*.suo +*.user +*.userosscache +*.sln.docstates + +# User-specific files (MonoDevelop/Xamarin Studio) +*.userprefs + +# Mono auto generated files +mono_crash.* + +# Build results +[Dd]ebug/ +[Dd]ebugPublic/ +[Rr]elease/ +[Rr]eleases/ +x64/ +x86/ +[Ww][Ii][Nn]32/ +[Aa][Rr][Mm]/ +[Aa][Rr][Mm]64/ +bld/ +[Bb]in/ +[Oo]bj/ +[Ll]og/ +[Ll]ogs/ + +# Visual Studio 2015/2017 cache/options directory +.vs/ +# Uncomment if you have tasks that create the project's static files in wwwroot +#wwwroot/ + +# Visual Studio 2017 auto generated files +Generated\ Files/ + +# MSTest test Results +[Tt]est[Rr]esult*/ +[Bb]uild[Ll]og.* + +# NUnit +*.VisualState.xml +TestResult.xml +nunit-*.xml + +# Build Results of an ATL Project +[Dd]ebugPS/ +[Rr]eleasePS/ +dlldata.c + +# Benchmark Results +BenchmarkDotNet.Artifacts/ + +# .NET Core +project.lock.json +project.fragment.lock.json +artifacts/ + +# ASP.NET Scaffolding +ScaffoldingReadMe.txt + +# StyleCop +StyleCopReport.xml + +# Files built by Visual Studio +*_i.c +*_p.c +*_h.h +*.ilk +*.meta +*.obj +*.iobj +*.pch +*.pdb +*.ipdb +*.pgc +*.pgd +*.rsp +*.sbr +*.tlb +*.tli +*.tlh +*.tmp +*.tmp_proj +*_wpftmp.csproj +*.log +*.tlog +*.vspscc +*.vssscc +.builds +*.pidb +*.svclog +*.scc + +# Chutzpah Test files +_Chutzpah* + +# Visual C++ cache files +ipch/ +*.aps +*.ncb +*.opendb +*.opensdf +*.sdf +*.cachefile +*.VC.db +*.VC.VC.opendb + +# Visual Studio profiler +*.psess +*.vsp +*.vspx +*.sap + +# Visual Studio Trace Files +*.e2e + +# TFS 2012 Local Workspace +$tf/ + +# Guidance Automation Toolkit +*.gpState + +# ReSharper is a .NET coding add-in +_ReSharper*/ +*.[Rr]e[Ss]harper +*.DotSettings.user + +# TeamCity is a build add-in +_TeamCity* + +# DotCover is a Code Coverage Tool +*.dotCover + +# AxoCover is a Code Coverage Tool +.axoCover/* +!.axoCover/settings.json + +# Coverlet is a free, cross platform Code Coverage Tool +coverage*.json +coverage*.xml +coverage*.info + +# Visual Studio code coverage results +*.coverage +*.coveragexml + +# NCrunch +_NCrunch_* +.*crunch*.local.xml +nCrunchTemp_* + +# MightyMoose +*.mm.* +AutoTest.Net/ + +# Web workbench (sass) +.sass-cache/ + +# Installshield output folder +[Ee]xpress/ + +# DocProject is a documentation generator add-in +DocProject/buildhelp/ +DocProject/Help/*.HxT +DocProject/Help/*.HxC +DocProject/Help/*.hhc +DocProject/Help/*.hhk +DocProject/Help/*.hhp +DocProject/Help/Html2 +DocProject/Help/html + +# Click-Once directory +publish/ + +# Publish Web Output +*.[Pp]ublish.xml +*.azurePubxml +# Note: Comment the next line if you want to checkin your web deploy settings, +# but database connection strings (with potential passwords) will be unencrypted +*.pubxml +*.publishproj + +# Microsoft Azure Web App publish settings. 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The algorithms are implemented in C# and are base on existing methods and new ideas. \ No newline at end of file diff --git a/src/EndMove.Sudoku.Solver.Core/Algorithms/BackTrackingSolver.cs b/src/EndMove.Sudoku.Solver.Core/Algorithms/BackTrackingSolver.cs new file mode 100644 index 0000000..c3fe046 --- /dev/null +++ b/src/EndMove.Sudoku.Solver.Core/Algorithms/BackTrackingSolver.cs @@ -0,0 +1,50 @@ +namespace EndMove.Sudoku.Solver.Core.Algorithms; + +public class BackTrackingSolver : SolverBase +{ + public BackTrackingSolver(Action displayBoard) : base(displayBoard) { } + + public override (bool, int[,]) Solve(int[,] board) + { + int row = -1, col = -1; + bool completed = true; + for (int y = 0; y < 9; y++) + { + for (int x = 0; x < 9; x++) + { + if (board[y, x] != 0) continue; + row = y; + col = x; + completed = false; + break; + } + if (!completed) break; + } + + if (completed) + { + return (true , board); + } + + for (int n = 1; n <= 9; n++) + { + // Check if the wanted assignment is valid + if (!IsValid(board, row, col, n)) continue; + // Then assign display and continue solving + board[row, col] = n; + DisplayBoard(board); + var (isSolved, solvedBoard) = Solve(board); + // If the board is solved, return it + if (isSolved) return (true, solvedBoard); + // Otherwise, backtrack (reset the cell to a ready to work value) + board[row, col] = 0; + } + return (false, board); + } + + public override (bool, int[]) Solve(int[] board) + { + // TODO + throw new NotImplementedException(); + } +} \ No newline at end of file diff --git a/src/EndMove.Sudoku.Solver.Core/Algorithms/ISolver.cs b/src/EndMove.Sudoku.Solver.Core/Algorithms/ISolver.cs new file mode 100644 index 0000000..9baf762 --- /dev/null +++ b/src/EndMove.Sudoku.Solver.Core/Algorithms/ISolver.cs @@ -0,0 +1,38 @@ +namespace EndMove.Sudoku.Solver.Core.Algorithms; + +public interface ISolver +{ + /// + /// Check if a number is valid in a cell + /// + /// The sudoku board (2D Board) + /// New number in x + /// New number in y + /// New number value + /// True if valid, False otherwise + public bool IsValid(int[,] board, int row, int col, int n); + + /// + /// Check if a number is valid in a cell + /// + /// The sudoku board (1D Board) + /// New number in x + /// New number in y + /// New number value + /// True if valid, False otherwise + public bool IsValid(int[] board, int row, int col, int n); + + /// + /// Solve the sudoku board + /// + /// Initial board + /// Is solved, solved board + public (bool, int[,]) Solve(int[,] board); + + /// + /// Solve the sudoku board with a 1D array + /// + /// Initial board + /// Is solved, solved board + public (bool, int[]) Solve(int[] board); +} \ No newline at end of file diff --git a/src/EndMove.Sudoku.Solver.Core/Algorithms/SolverBase.cs b/src/EndMove.Sudoku.Solver.Core/Algorithms/SolverBase.cs new file mode 100644 index 0000000..358a373 --- /dev/null +++ b/src/EndMove.Sudoku.Solver.Core/Algorithms/SolverBase.cs @@ -0,0 +1,48 @@ +namespace EndMove.Sudoku.Solver.Core.Algorithms; + +public abstract class SolverBase : ISolver +{ + internal readonly Action DisplayBoard; + + /// + /// Constructor for base solver algorithms + /// + /// Method to display board in terminal or other + protected SolverBase(Action displayBoard) + { + DisplayBoard = displayBoard; + } + + public virtual bool IsValid(int[,] board, int row, int col, int n) + { + // Check Col, Row + for (int i = 0; i < 9; i++) + { + if (board[row, i] == n || board[i, col] == n) + { + return false; + } + } + // Check Box + int xSize = (col / 3) * 3, ySize = (row / 3) * 3; + for (int y = 0; y < 3; y++) + { + for (int x = 0; x < 3; x++) + { + if (board[ySize + y, xSize + x] == n) + { + return false; + } + } + } + return true; + } + + public virtual bool IsValid(int[] board, int row, int col, int n) + { + throw new NotImplementedException(); + } + + public abstract (bool, int[,]) Solve(int[,] board); + public abstract (bool, int[]) Solve(int[] board); +} \ No newline at end of file diff --git a/src/EndMove.Sudoku.Solver.Core/Common/SudokuStore.cs b/src/EndMove.Sudoku.Solver.Core/Common/SudokuStore.cs new file mode 100644 index 0000000..9b56f7e --- /dev/null +++ b/src/EndMove.Sudoku.Solver.Core/Common/SudokuStore.cs @@ -0,0 +1,70 @@ +namespace EndMove.Sudoku.Solver.Core; + +// PS: I know this class isn't useful at all, I just wanted to play a bit more +public class SudokuStore +{ + private readonly List _sudokuBoards; + + public SudokuStore() + { + _sudokuBoards = new List(); + } + + // Add multiple Sudoku boards + public void AddBoard(params int[][,] boards) + { + foreach (var board in boards) + { + AddBoard(board); + } + } + + // Add a new Sudoku board + public void AddBoard(int[,] board) + { + if (board.GetLength(0) != 9 || board.GetLength(1) != 9) + { + throw new ArgumentException("Board must be a 9x9 grid."); + } + _sudokuBoards.Add((int[,])board.Clone()); + } + + // Remove a Sudoku board by index + public void RemoveBoard(int index) + { + if (index < 0 || index >= _sudokuBoards.Count) + { + throw new ArgumentOutOfRangeException(nameof(index), "Invalid board index."); + } + _sudokuBoards.RemoveAt(index); + } + + // Get the count of stored Sudoku boards + public int Count => _sudokuBoards.Count; + + // Indexer to access Sudoku boards by index + public int[,] this[int index] + { + get + { + if (index < 0 || index >= _sudokuBoards.Count) + { + throw new ArgumentOutOfRangeException(nameof(index), "Invalid board index."); + } + return (int[,])_sudokuBoards[index].Clone(); + } + set + { + if (index < 0 || index >= _sudokuBoards.Count) + { + throw new ArgumentOutOfRangeException(nameof(index), "Invalid board index."); + } + + if (value.GetLength(0) != 9 || value.GetLength(1) != 9) + { + throw new ArgumentException("Board must be a 9x9 grid."); + } + _sudokuBoards[index] = (int[,])value.Clone(); + } + } +} \ No newline at end of file diff --git a/src/EndMove.Sudoku.Solver.Core/Common/SudokuUtils.cs b/src/EndMove.Sudoku.Solver.Core/Common/SudokuUtils.cs new file mode 100644 index 0000000..80dbba5 --- /dev/null +++ b/src/EndMove.Sudoku.Solver.Core/Common/SudokuUtils.cs @@ -0,0 +1,58 @@ +namespace EndMove.Sudoku.Solver.Core.Common; + +public static class SudokuUtils +{ + /// + /// Convert a 2D board to a 1D board + /// + /// 2D Board + /// 1D Board + public static void TwoDTo1D(int[,] board, out int[] newBoard) + { + int rows = board.GetLength(0), cols = board.GetLength(1); + newBoard = new int[rows * cols]; + for (int i = 0; i < rows; i++) + { + for (int j = 0; j < cols; j++) + { + newBoard[i * cols + j] = board[i, j]; + } + } + } + + /// Display the board in the terminal (1D Board) + public static void DisplayBoard(int[] board) + { + const string separator = "+---+---+---+---+---+---+---+---+---+"; + for (int i = 0; i < 81; i++) + { + if (i % 27 == 0) + { + Console.WriteLine(separator); + } + Console.Write("{0} {1} ", (i % 3 == 0) ? '|' : ' ', board[i] == 0 ? "*" : board[i]); + if (i % 9 == 8) Console.WriteLine("|"); + } + Console.WriteLine(separator); + } + + /// Display the board in the terminal (2D Board) + public static void DisplayBoard(int[,] board) + { + const string separator = "+---+---+---+---+---+---+---+---+---+"; + Console.WriteLine(separator); + for (int i = 0; i < 9; i++) + { + Console.Write("|"); + for (int j = 0; j < 9; j++) + { + Console.Write(" {0} {1}", board[i, j] == 0 ? "*" : board[i, j], ((j + 1) % 3 == 0) ? '|' : ' '); + } + Console.WriteLine(); + if ((i + 1) % 3 == 0) + { + Console.WriteLine(separator); + } + } + } +} \ No newline at end of file diff --git a/src/EndMove.Sudoku.Solver.Core/EndMove.Sudoku.Solver.Core.csproj b/src/EndMove.Sudoku.Solver.Core/EndMove.Sudoku.Solver.Core.csproj new file mode 100644 index 0000000..2f4fc77 --- /dev/null +++ b/src/EndMove.Sudoku.Solver.Core/EndMove.Sudoku.Solver.Core.csproj @@ -0,0 +1,10 @@ + + + + Exe + net8.0 + enable + enable + + + diff --git a/src/EndMove.Sudoku.Solver.Core/Program.cs b/src/EndMove.Sudoku.Solver.Core/Program.cs new file mode 100644 index 0000000..e6f0f2c --- /dev/null +++ b/src/EndMove.Sudoku.Solver.Core/Program.cs @@ -0,0 +1,68 @@ +using EndMove.Sudoku.Solver.Core.Algorithms; +using EndMove.Sudoku.Solver.Core.Common; + +namespace EndMove.Sudoku.Solver.Core +{ + public static class Program + { + public static void Main(string[] args) + { + var store = new SudokuStore(); + store.AddBoard(new[,] + { + { 5, 3, 0, 0, 7, 0, 0, 0, 0 }, + { 6, 0, 0, 1, 9, 5, 0, 0, 0 }, + { 0, 9, 8, 0, 0, 0, 0, 6, 0 }, + { 8, 0, 0, 0, 6, 0, 0, 0, 3 }, + { 4, 0, 0, 8, 0, 3, 0, 0, 1 }, + { 7, 0, 0, 0, 2, 0, 0, 0, 6 }, + { 0, 6, 0, 0, 0, 0, 2, 8, 0 }, + { 0, 0, 0, 4, 1, 9, 0, 0, 5 }, + { 0, 0, 0, 0, 8, 0, 0, 7, 9 } + }, new[,] + { + { 8, 0, 0, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 3, 6, 0, 0, 0, 0, 0 }, + { 0, 7, 0, 0, 9, 0, 2, 0, 0 }, + { 0, 5, 0, 0, 0, 7, 0, 0, 0 }, + { 0, 0, 0, 0, 4, 5, 7, 0, 0 }, + { 0, 0, 0, 1, 0, 0, 0, 3, 0 }, + { 0, 0, 1, 0, 0, 0, 0, 6, 8 }, + { 0, 0, 8, 5, 0, 0, 0, 1, 0 }, + { 0, 9, 0, 0, 0, 0, 4, 0, 0 } + }, + new[,] + { + { 0, 0, 5, 3, 0, 0, 0, 0, 0 }, + { 8, 0, 0, 0, 0, 0, 0, 2, 0 }, + { 0, 7, 0, 0, 1, 0, 5, 0, 0 }, + { 4, 0, 0, 0, 0, 5, 3, 0, 0 }, + { 0, 1, 0, 0, 7, 0, 0, 0, 6 }, + { 0, 0, 3, 2, 0, 0, 0, 8, 0 }, + { 0, 6, 0, 5, 0, 0, 0, 0, 9 }, + { 0, 0, 4, 0, 0, 0, 0, 3, 0 }, + { 0, 0, 0, 0, 0, 9, 7, 0, 0 } + }, + new[,] + { + { 0, 0, 0, 0, 0, 7, 0, 9, 0 }, + { 2, 0, 0, 0, 0, 8, 0, 0, 0 }, + { 0, 3, 0, 0, 0, 0, 0, 6, 0 }, + { 0, 0, 0, 5, 0, 0, 0, 0, 9 }, + { 0, 0, 1, 0, 0, 0, 0, 0, 0 }, + { 9, 0, 0, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 6, 0, 0, 0, 0 }, + { 0, 5, 0, 0, 9, 0, 0, 0, 0 } + }); + + SudokuUtils.TwoDTo1D(store[0], out int[] sudoku1D); + SudokuUtils.DisplayBoard(sudoku1D); + // TODO 1D solver with backtracking + + ISolver solver = new BackTrackingSolver(SudokuUtils.DisplayBoard); + var (status, lol) = solver.Solve(store[0]); + Console.WriteLine(status); + } + } +} \ No newline at end of file