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2025-08-03 20:24:38 -07:00
commit 6b9f8b2f04
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<?xml version="1.0" encoding="utf-8" ?>
<configuration>
<startup>
<supportedRuntime version="v4.0" sku=".NETFramework,Version=v4.5" />
</startup>
</configuration>
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using System;
using System.Collections.Generic;
using System.Diagnostics;
using System.Linq;
namespace magicSeries
{
class Program
{
static void Main(string[] args)
{
var n = Convert.ToInt32(args[0]);
var series = new MinConflictsMagicSeries(n);
var solution = series.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");
}
}
}
internal class MinConflictsMagicSeries
{
private readonly int _n;
public MinConflictsMagicSeries(int n)
{
_n = n;
}
public IList<int> Solve()
{
var series = new Series(_n);
var random = new Random();
while (true)
{
if (series.IsFeasible())
return series.Values;
// select the largest violation
var updateValue =
(from i in Enumerable.Range(0, series.Size)
let value = series.Values[i]
let occurrances = series.GetOccurrances(i)
let violationDegree = Math.Abs(value - occurrances)
select new {i, occurrances, violationDegree})
.GroupBy(arg => arg.violationDegree)
.OrderByDescending(arg => arg.Key)
.First()
.OrderBy(arg => random.Next())
.First();
// adjust it to correct value
series.UpdateValue(updateValue.i, updateValue.occurrances);
}
}
}
}
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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("magicSeries")]
[assembly: AssemblyDescription("")]
[assembly: AssemblyConfiguration("")]
[assembly: AssemblyCompany("")]
[assembly: AssemblyProduct("magicSeries")]
[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("c0f99f41-0030-4b13-af15-e4ba1d3eec88")]
// 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")]
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using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using NUnit.Framework;
namespace magicSeries
{
[TestFixture]
public class SeriesTests
{
[Test]
public void UpdateValueTest()
{
var series = new Series(5);
series.UpdateValue(0,2);
series.UpdateValue(1,1);
series.UpdateValue(2,2);
Assert.That(series.IsFeasible(), Is.True);
Console.WriteLine("Values: " + string.Join(" ", series.Values.Select(i => i.ToString())));
Console.WriteLine("Occurr: " + string.Join(" ", series.Occurrances.Select(i => i.ToString())));
}
}
}
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using System.Linq;
namespace magicSeries
{
public class Series
{
public readonly int[] Values;
public readonly int[] Occurrances;
public int Size { get { return Values.Length; } }
public Series(int size)
{
Values = new int[size];
Occurrances = new int[size + 1];
Occurrances[0] = size;
}
public int GetOccurrances(int i)
{
return Occurrances[i];
}
public bool IsFeasible()
{
for (var n = 0; n < Values.Count(); n++)
if (Values[n] != Occurrances[n])
return false;
return true;
}
public void UpdateValue(int n, int newValue)
{
Occurrances[Values[n]]--;
Occurrances[newValue]++;
Values[n] = newValue;
}
}
}
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<?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>{B8C7F1E4-92F4-41AC-83F2-2BFCC13A6820}</ProjectGuid>
<OutputType>Exe</OutputType>
<AppDesignerFolder>Properties</AppDesignerFolder>
<RootNamespace>magicSeries</RootNamespace>
<AssemblyName>magicSeries</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="nunit.framework">
<HintPath>packages\NUnit.2.6.2\lib\nunit.framework.dll</HintPath>
</Reference>
<Reference Include="System" />
<Reference Include="System.Core" />
<Reference Include="System.Xml.Linq" />
<Reference Include="System.Data.DataSetExtensions" />
<Reference Include="Microsoft.CSharp" />
<Reference Include="System.Data" />
<Reference Include="System.Xml" />
</ItemGroup>
<ItemGroup>
<Compile Include="Program.cs" />
<Compile Include="Properties\AssemblyInfo.cs" />
<Compile Include="Series.cs" />
<Compile Include="Series.Tests.cs" />
</ItemGroup>
<ItemGroup>
<None Include="App.config" />
<None Include="packages.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>
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Microsoft Visual Studio Solution File, Format Version 12.00
# Visual Studio 2012
Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "magicSeries", "magicSeries.csproj", "{B8C7F1E4-92F4-41AC-83F2-2BFCC13A6820}"
EndProject
Global
GlobalSection(SolutionConfigurationPlatforms) = preSolution
Debug|Any CPU = Debug|Any CPU
Release|Any CPU = Release|Any CPU
EndGlobalSection
GlobalSection(ProjectConfigurationPlatforms) = postSolution
{B8C7F1E4-92F4-41AC-83F2-2BFCC13A6820}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
{B8C7F1E4-92F4-41AC-83F2-2BFCC13A6820}.Debug|Any CPU.Build.0 = Debug|Any CPU
{B8C7F1E4-92F4-41AC-83F2-2BFCC13A6820}.Release|Any CPU.ActiveCfg = Release|Any CPU
{B8C7F1E4-92F4-41AC-83F2-2BFCC13A6820}.Release|Any CPU.Build.0 = Release|Any CPU
EndGlobalSection
GlobalSection(SolutionProperties) = preSolution
HideSolutionNode = FALSE
EndGlobalSection
EndGlobal
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<?xml version="1.0" encoding="utf-8"?>
<packages>
<package id="NUnit" version="2.6.2" targetFramework="net45" />
</packages>