initial commit
This commit is contained in:
@@ -0,0 +1,6 @@
|
||||
<?xml version="1.0" encoding="utf-8" ?>
|
||||
<configuration>
|
||||
<startup>
|
||||
<supportedRuntime version="v4.0" sku=".NETFramework,Version=v4.5" />
|
||||
</startup>
|
||||
</configuration>
|
||||
@@ -0,0 +1,87 @@
|
||||
using System.Collections.Generic;
|
||||
using System.Linq;
|
||||
|
||||
namespace nqueens
|
||||
{
|
||||
public class NBoard
|
||||
{
|
||||
public readonly int[] Columns;
|
||||
|
||||
public int Size { get { return Columns.Length; } }
|
||||
|
||||
public readonly int[] Conflicts;
|
||||
|
||||
public NBoard(int[] columns)
|
||||
{
|
||||
Columns = columns;
|
||||
Conflicts =
|
||||
(from n in Enumerable.Range(0, Size)
|
||||
select GetConflictCount(n)).ToArray();
|
||||
}
|
||||
|
||||
public int GetQueenRow(int column)
|
||||
{
|
||||
return Columns[column];
|
||||
}
|
||||
|
||||
public bool IsFeasible()
|
||||
{
|
||||
return Conflicts.All(c => c == 0);
|
||||
}
|
||||
|
||||
public int GetConflictCount(int column)
|
||||
{
|
||||
return GetConflicts(column).Count;
|
||||
}
|
||||
|
||||
public int TestConflictCount(int column, int row)
|
||||
{
|
||||
var originalRow = Columns[column];
|
||||
Columns[column] = row;
|
||||
|
||||
var conflicts = GetConflictCount(column);
|
||||
|
||||
Columns[column] = originalRow;
|
||||
|
||||
return conflicts;
|
||||
}
|
||||
|
||||
private List<int> GetConflicts(int column)
|
||||
{
|
||||
var queenRow = GetQueenRow(column);
|
||||
var conflicts = new List<int>();
|
||||
for (var iColumn = 0; iColumn < Size; iColumn++)
|
||||
{
|
||||
if (iColumn == column)
|
||||
continue;
|
||||
var iRow = Columns[iColumn];
|
||||
if (iRow == queenRow)
|
||||
{
|
||||
conflicts.Add(iColumn);
|
||||
continue;
|
||||
}
|
||||
|
||||
var columnDiff = column - iColumn;
|
||||
if (queenRow - columnDiff == iRow || queenRow + columnDiff == iRow)
|
||||
conflicts.Add(iColumn);
|
||||
}
|
||||
return conflicts;
|
||||
}
|
||||
|
||||
public void UpdateRow(int column, int row)
|
||||
{
|
||||
var oldConflictColumns = GetConflicts(column);
|
||||
foreach (var i in oldConflictColumns)
|
||||
Conflicts[i]--;
|
||||
|
||||
var sum = Conflicts.Any(c => c < 0);
|
||||
|
||||
Columns[column] = row;
|
||||
|
||||
var newConflictColumns = GetConflicts(column);
|
||||
Conflicts[column] = newConflictColumns.Count;
|
||||
foreach (var i in newConflictColumns)
|
||||
Conflicts[i]++;
|
||||
}
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,115 @@
|
||||
using System;
|
||||
using System.Collections.Generic;
|
||||
using System.Diagnostics;
|
||||
using System.Linq;
|
||||
|
||||
namespace nqueens
|
||||
{
|
||||
class Program
|
||||
{
|
||||
static void Main(string[] args)
|
||||
{
|
||||
var n = Convert.ToInt32(args[0]);
|
||||
var lsQueens = new MinConflictsQueens(n);
|
||||
var solution = lsQueens.Solve();
|
||||
|
||||
if (solution != null)
|
||||
{
|
||||
var s = string.Join(" ", solution.Select(i => i.ToString()));
|
||||
Console.WriteLine(n);
|
||||
Console.WriteLine(s);
|
||||
Debug.WriteLine(n);
|
||||
Debug.WriteLine(s);
|
||||
}
|
||||
else
|
||||
{
|
||||
Console.WriteLine("No solution");
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
public class MinConflictsQueens
|
||||
{
|
||||
private readonly int _n;
|
||||
|
||||
public MinConflictsQueens(int n)
|
||||
{
|
||||
_n = n;
|
||||
}
|
||||
|
||||
private NBoard Initial()
|
||||
{
|
||||
//var random = new Random(1);
|
||||
//var randValues = (from i in Enumerable.Range(0, _n)
|
||||
// select random.Next(0, _n)).ToArray();
|
||||
|
||||
//var board = new List<int>(_n);
|
||||
//for (var i = 0; i < _n; i++)
|
||||
//{
|
||||
// if (i % 2 == 0)
|
||||
// board.Insert(0,i);
|
||||
// else
|
||||
// board.Insert(i,i);
|
||||
|
||||
//}
|
||||
|
||||
//return new NBoard(board.ToArray());
|
||||
|
||||
var board = new int[_n];
|
||||
var n2 = _n/2;
|
||||
for (var i = 1; i <= n2; i++)
|
||||
{
|
||||
board[i - 1] = 2*i - 1;
|
||||
board[n2 + i - 1] = 2* (i - 1);
|
||||
}
|
||||
//board[n2 - 1] = 0;
|
||||
return new NBoard(board);
|
||||
}
|
||||
|
||||
public IList<int> Solve()
|
||||
{
|
||||
var nBoard = Initial();
|
||||
var random = new Random();
|
||||
int lastColumn = -1;
|
||||
int iterations = 0;
|
||||
|
||||
while (true)
|
||||
{
|
||||
if (nBoard.IsFeasible())
|
||||
return nBoard.Columns;
|
||||
|
||||
if (++iterations % 100 == 0)
|
||||
Debug.WriteLine("{0} : {1}", iterations, nBoard.Conflicts.Sum());
|
||||
|
||||
// select the next biggest conflict count
|
||||
var maxConflictColumn =
|
||||
(from c in Enumerable.Range(0, _n)
|
||||
let conflicts = nBoard.Conflicts[c]
|
||||
select new {c, conflicts})
|
||||
.GroupBy(arg => arg.conflicts)
|
||||
.OrderByDescending(grouping => grouping.Key)
|
||||
.First()
|
||||
.OrderBy(arg => random.Next())
|
||||
.First()
|
||||
.c;
|
||||
|
||||
if (maxConflictColumn == lastColumn)
|
||||
maxConflictColumn = random.Next(0, _n);
|
||||
lastColumn = maxConflictColumn;
|
||||
|
||||
var minConflictRow =
|
||||
(from row in Enumerable.Range(0, _n)
|
||||
let conflicts = nBoard.TestConflictCount(maxConflictColumn, row)
|
||||
select new {row, conflicts})
|
||||
.GroupBy(arg => arg.conflicts)
|
||||
.OrderBy(grouping => grouping.Key)
|
||||
.First()
|
||||
.OrderBy(arg => random.Next())
|
||||
.First()
|
||||
.row;
|
||||
|
||||
nBoard.UpdateRow(maxConflictColumn, minConflictRow);
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,36 @@
|
||||
using System.Reflection;
|
||||
using System.Runtime.CompilerServices;
|
||||
using System.Runtime.InteropServices;
|
||||
|
||||
// General Information about an assembly is controlled through the following
|
||||
// set of attributes. Change these attribute values to modify the information
|
||||
// associated with an assembly.
|
||||
[assembly: AssemblyTitle("nqueens")]
|
||||
[assembly: AssemblyDescription("")]
|
||||
[assembly: AssemblyConfiguration("")]
|
||||
[assembly: AssemblyCompany("")]
|
||||
[assembly: AssemblyProduct("nqueens")]
|
||||
[assembly: AssemblyCopyright("Copyright © 2013")]
|
||||
[assembly: AssemblyTrademark("")]
|
||||
[assembly: AssemblyCulture("")]
|
||||
|
||||
// Setting ComVisible to false makes the types in this assembly not visible
|
||||
// to COM components. If you need to access a type in this assembly from
|
||||
// COM, set the ComVisible attribute to true on that type.
|
||||
[assembly: ComVisible(false)]
|
||||
|
||||
// The following GUID is for the ID of the typelib if this project is exposed to COM
|
||||
[assembly: Guid("2653647d-52e8-48ef-af3d-40adb6a2e58e")]
|
||||
|
||||
// Version information for an assembly consists of the following four values:
|
||||
//
|
||||
// Major Version
|
||||
// Minor Version
|
||||
// Build Number
|
||||
// Revision
|
||||
//
|
||||
// You can specify all the values or you can default the Build and Revision Numbers
|
||||
// by using the '*' as shown below:
|
||||
// [assembly: AssemblyVersion("1.0.*")]
|
||||
[assembly: AssemblyVersion("1.0.0.0")]
|
||||
[assembly: AssemblyFileVersion("1.0.0.0")]
|
||||
@@ -0,0 +1,57 @@
|
||||
<?xml version="1.0" encoding="utf-8"?>
|
||||
<Project ToolsVersion="4.0" DefaultTargets="Build" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
|
||||
<Import Project="$(MSBuildExtensionsPath)\$(MSBuildToolsVersion)\Microsoft.Common.props" Condition="Exists('$(MSBuildExtensionsPath)\$(MSBuildToolsVersion)\Microsoft.Common.props')" />
|
||||
<PropertyGroup>
|
||||
<Configuration Condition=" '$(Configuration)' == '' ">Debug</Configuration>
|
||||
<Platform Condition=" '$(Platform)' == '' ">AnyCPU</Platform>
|
||||
<ProjectGuid>{0C81AFB2-E3EC-4535-86A6-955BA5BE2576}</ProjectGuid>
|
||||
<OutputType>Exe</OutputType>
|
||||
<AppDesignerFolder>Properties</AppDesignerFolder>
|
||||
<RootNamespace>nqueens</RootNamespace>
|
||||
<AssemblyName>nqueens</AssemblyName>
|
||||
<TargetFrameworkVersion>v4.5</TargetFrameworkVersion>
|
||||
<FileAlignment>512</FileAlignment>
|
||||
</PropertyGroup>
|
||||
<PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Debug|AnyCPU' ">
|
||||
<PlatformTarget>x64</PlatformTarget>
|
||||
<DebugSymbols>true</DebugSymbols>
|
||||
<DebugType>full</DebugType>
|
||||
<Optimize>false</Optimize>
|
||||
<OutputPath>..\</OutputPath>
|
||||
<DefineConstants>DEBUG;TRACE</DefineConstants>
|
||||
<ErrorReport>prompt</ErrorReport>
|
||||
<WarningLevel>4</WarningLevel>
|
||||
</PropertyGroup>
|
||||
<PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Release|AnyCPU' ">
|
||||
<PlatformTarget>AnyCPU</PlatformTarget>
|
||||
<DebugType>pdbonly</DebugType>
|
||||
<Optimize>true</Optimize>
|
||||
<OutputPath>bin\Release\</OutputPath>
|
||||
<DefineConstants>TRACE</DefineConstants>
|
||||
<ErrorReport>prompt</ErrorReport>
|
||||
<WarningLevel>4</WarningLevel>
|
||||
</PropertyGroup>
|
||||
<ItemGroup>
|
||||
<Reference Include="Google.OrTools.ConstraintSolver">
|
||||
<HintPath>..\..\..\..\Documents\or-tools.Windows64\bin\Google.OrTools.ConstraintSolver.dll</HintPath>
|
||||
</Reference>
|
||||
<Reference Include="System" />
|
||||
<Reference Include="System.Core" />
|
||||
</ItemGroup>
|
||||
<ItemGroup>
|
||||
<Compile Include="NBoard.cs" />
|
||||
<Compile Include="Program.cs" />
|
||||
<Compile Include="Properties\AssemblyInfo.cs" />
|
||||
</ItemGroup>
|
||||
<ItemGroup>
|
||||
<None Include="App.config" />
|
||||
</ItemGroup>
|
||||
<Import Project="$(MSBuildToolsPath)\Microsoft.CSharp.targets" />
|
||||
<!-- To modify your build process, add your task inside one of the targets below and uncomment it.
|
||||
Other similar extension points exist, see Microsoft.Common.targets.
|
||||
<Target Name="BeforeBuild">
|
||||
</Target>
|
||||
<Target Name="AfterBuild">
|
||||
</Target>
|
||||
-->
|
||||
</Project>
|
||||
@@ -0,0 +1,26 @@
|
||||
|
||||
Microsoft Visual Studio Solution File, Format Version 12.00
|
||||
# Visual Studio 2012
|
||||
Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "nqueens", "nqueens.csproj", "{0C81AFB2-E3EC-4535-86A6-955BA5BE2576}"
|
||||
EndProject
|
||||
Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "nqueens.tests", "..\nqueens.tests\nqueens.tests.csproj", "{EE40FD45-A2A0-4198-86A0-F7E3ED334B51}"
|
||||
EndProject
|
||||
Global
|
||||
GlobalSection(SolutionConfigurationPlatforms) = preSolution
|
||||
Debug|Any CPU = Debug|Any CPU
|
||||
Release|Any CPU = Release|Any CPU
|
||||
EndGlobalSection
|
||||
GlobalSection(ProjectConfigurationPlatforms) = postSolution
|
||||
{0C81AFB2-E3EC-4535-86A6-955BA5BE2576}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
|
||||
{0C81AFB2-E3EC-4535-86A6-955BA5BE2576}.Debug|Any CPU.Build.0 = Debug|Any CPU
|
||||
{0C81AFB2-E3EC-4535-86A6-955BA5BE2576}.Release|Any CPU.ActiveCfg = Release|Any CPU
|
||||
{0C81AFB2-E3EC-4535-86A6-955BA5BE2576}.Release|Any CPU.Build.0 = Release|Any CPU
|
||||
{EE40FD45-A2A0-4198-86A0-F7E3ED334B51}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
|
||||
{EE40FD45-A2A0-4198-86A0-F7E3ED334B51}.Debug|Any CPU.Build.0 = Debug|Any CPU
|
||||
{EE40FD45-A2A0-4198-86A0-F7E3ED334B51}.Release|Any CPU.ActiveCfg = Release|Any CPU
|
||||
{EE40FD45-A2A0-4198-86A0-F7E3ED334B51}.Release|Any CPU.Build.0 = Release|Any CPU
|
||||
EndGlobalSection
|
||||
GlobalSection(SolutionProperties) = preSolution
|
||||
HideSolutionNode = FALSE
|
||||
EndGlobalSection
|
||||
EndGlobal
|
||||
Reference in New Issue
Block a user