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Merge pull request #356 from ikesnowy/dev
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‎2 Sorting/2.1/2.1.18/Form3.cs‎

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@@ -10,7 +10,7 @@ public partial class Form3 : Form
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double[] randomDoubles;
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int sortI;
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int sortJ;
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int n = 0;
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public Form3(int N)
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{
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InitializeComponent();

‎2 Sorting/2.2/2.2.26/AuxInMergeMergeSort.cs‎

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using System;
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using System.Collections.Generic;
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using System.Linq;
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using System.Text;
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using System.Threading.Tasks;
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using System.Diagnostics;
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using Merge;
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namespace _2._2._26

‎2 Sorting/2.2/2.2.26/AuxInSortMergeSort.cs‎

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using System;
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using System.Collections.Generic;
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using System.Linq;
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using System.Text;
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using System.Threading.Tasks;
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using System.Diagnostics;
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using Merge;
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namespace _2._2._26

‎2 Sorting/2.3/2.3.1/2.3.1.csproj‎

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<?xml version="1.0" encoding="utf-8"?>
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<Project ToolsVersion="15.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
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<Import Project="$(MSBuildExtensionsPath)\$(MSBuildToolsVersion)\Microsoft.Common.props" Condition="Exists('$(MSBuildExtensionsPath)\$(MSBuildToolsVersion)\Microsoft.Common.props')" />
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<PropertyGroup>
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<Configuration Condition=" '$(Configuration)' == '' ">Debug</Configuration>
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<Platform Condition=" '$(Platform)' == '' ">AnyCPU</Platform>
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<ProjectGuid>{0B42B539-F300-4D97-B4D0-47249CCC6F01}</ProjectGuid>
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<OutputType>Exe</OutputType>
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<RootNamespace>_2._3._1</RootNamespace>
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<AssemblyName>2.3.1</AssemblyName>
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<TargetFrameworkVersion>v4.7</TargetFrameworkVersion>
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<FileAlignment>512</FileAlignment>
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<AutoGenerateBindingRedirects>true</AutoGenerateBindingRedirects>
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</PropertyGroup>
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<PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Debug|AnyCPU' ">
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<PlatformTarget>AnyCPU</PlatformTarget>
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<DebugSymbols>true</DebugSymbols>
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<DebugType>full</DebugType>
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<Optimize>false</Optimize>
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<OutputPath>bin\Debug\</OutputPath>
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<DefineConstants>DEBUG;TRACE</DefineConstants>
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<ErrorReport>prompt</ErrorReport>
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<WarningLevel>4</WarningLevel>
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</PropertyGroup>
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<PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Release|AnyCPU' ">
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<PlatformTarget>AnyCPU</PlatformTarget>
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<DebugType>pdbonly</DebugType>
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<Optimize>true</Optimize>
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<OutputPath>bin\Release\</OutputPath>
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<DefineConstants>TRACE</DefineConstants>
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<ErrorReport>prompt</ErrorReport>
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<WarningLevel>4</WarningLevel>
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</PropertyGroup>
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<ItemGroup>
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<Reference Include="System" />
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<Reference Include="System.Core" />
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<Reference Include="System.Xml.Linq" />
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<Reference Include="System.Data.DataSetExtensions" />
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<Reference Include="Microsoft.CSharp" />
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<Reference Include="System.Data" />
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<Reference Include="System.Net.Http" />
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<Reference Include="System.Xml" />
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</ItemGroup>
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<ItemGroup>
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<Compile Include="Program.cs" />
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<Compile Include="Properties\AssemblyInfo.cs" />
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</ItemGroup>
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<ItemGroup>
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<None Include="App.config" />
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</ItemGroup>
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<Import Project="$(MSBuildToolsPath)\Microsoft.CSharp.targets" />
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</Project>

‎2 Sorting/2.3/2.3.1/App.config‎

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<?xml version="1.0" encoding="utf-8" ?>
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<configuration>
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<startup>
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<supportedRuntime version="v4.0" sku=".NETFramework,Version=v4.7" />
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</startup>
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</configuration>

‎2 Sorting/2.3/2.3.1/Program.cs‎

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namespace _2._3._1
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{
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/*
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* 2.3.1
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*
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* 按照 Partition() 方法的轨迹的格式给出该方法是如何切分数组
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* E A S Y Q U E S T I O N 的。
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*
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*/
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class Program
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{
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static void Main(string[] args)
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{
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// a[]
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// i j 0 1 2 3 4 5 6 7 8 9 10 11
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// 0 16 E A S Y Q U E S T I O N
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// 1 6 E A S Y Q U E S T I O N
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// 1 6 E A E Y Q U S S T I O N
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// 3 2 E A E Y Q U S S T I O N
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// 3 2 E A E Y Q U S S T I O N
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// 2 E A E Y Q U S S T I O N
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}
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}
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}

‎2 Sorting/2.3/2.3.1/Properties/AssemblyInfo.cs‎

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using System.Reflection;
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using System.Runtime.InteropServices;
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// 有关程序集的一般信息由以下
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// 控制。更改这些特性值可修改
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// 与程序集关联的信息。
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[assembly: AssemblyTitle("2.3.1")]
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[assembly: AssemblyDescription("")]
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[assembly: AssemblyConfiguration("")]
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[assembly: AssemblyCompany("")]
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[assembly: AssemblyProduct("2.3.1")]
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[assembly: AssemblyCopyright("Copyright © 2018")]
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[assembly: AssemblyTrademark("")]
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[assembly: AssemblyCulture("")]
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// 将 ComVisible 设置为 false 会使此程序集中的类型
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//对 COM 组件不可见。如果需要从 COM 访问此程序集中的类型
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//请将此类型的 ComVisible 特性设置为 true。
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[assembly: ComVisible(false)]
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// 如果此项目向 COM 公开，则下列 GUID 用于类型库的 ID
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[assembly: Guid("0b42b539-f300-4d97-b4d0-47249ccc6f01")]
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// 程序集的版本信息由下列四个值组成:
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//
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// 主版本
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// 次版本
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// 生成号
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// 修订号
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//
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// 可以指定所有值，也可以使用以下所示的 "*" 预置版本号和修订号
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// 方法是按如下所示使用“*”: :
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// [assembly: AssemblyVersion("1.0.*")]
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[assembly: AssemblyVersion("1.0.0.0")]
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[assembly: AssemblyFileVersion("1.0.0.0")]

‎2 Sorting/2.3/2.3.10/2.3.10.csproj‎

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<?xml version="1.0" encoding="utf-8"?>
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<Project ToolsVersion="15.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
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<Import Project="$(MSBuildExtensionsPath)\$(MSBuildToolsVersion)\Microsoft.Common.props" Condition="Exists('$(MSBuildExtensionsPath)\$(MSBuildToolsVersion)\Microsoft.Common.props')" />
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<PropertyGroup>
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<Configuration Condition=" '$(Configuration)' == '' ">Debug</Configuration>
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<Platform Condition=" '$(Platform)' == '' ">AnyCPU</Platform>
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<ProjectGuid>{A084203F-4C71-4A74-9D8B-F76EFD052845}</ProjectGuid>
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<OutputType>Exe</OutputType>
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<RootNamespace>_2._3._10</RootNamespace>
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<AssemblyName>2.3.10</AssemblyName>
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<TargetFrameworkVersion>v4.7</TargetFrameworkVersion>
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<FileAlignment>512</FileAlignment>
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<AutoGenerateBindingRedirects>true</AutoGenerateBindingRedirects>
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</PropertyGroup>
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<PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Debug|AnyCPU' ">
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<PlatformTarget>AnyCPU</PlatformTarget>
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<DebugSymbols>true</DebugSymbols>
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<DebugType>full</DebugType>
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<Optimize>false</Optimize>
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<OutputPath>bin\Debug\</OutputPath>
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<DefineConstants>DEBUG;TRACE</DefineConstants>
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<ErrorReport>prompt</ErrorReport>
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<WarningLevel>4</WarningLevel>
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</PropertyGroup>
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<PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Release|AnyCPU' ">
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<PlatformTarget>AnyCPU</PlatformTarget>
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<DebugType>pdbonly</DebugType>
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<Optimize>true</Optimize>
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<OutputPath>bin\Release\</OutputPath>
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<DefineConstants>TRACE</DefineConstants>
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<ErrorReport>prompt</ErrorReport>
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<WarningLevel>4</WarningLevel>
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</PropertyGroup>
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<ItemGroup>
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<Reference Include="System" />
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<Reference Include="System.Core" />
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<Reference Include="System.Xml.Linq" />
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<Reference Include="System.Data.DataSetExtensions" />
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<Reference Include="Microsoft.CSharp" />
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<Reference Include="System.Data" />
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<Reference Include="System.Net.Http" />
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<Reference Include="System.Xml" />
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</ItemGroup>
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<ItemGroup>
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<Compile Include="Program.cs" />
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<Compile Include="Properties\AssemblyInfo.cs" />
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</ItemGroup>
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<ItemGroup>
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<None Include="App.config" />
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</ItemGroup>
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<Import Project="$(MSBuildToolsPath)\Microsoft.CSharp.targets" />
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</Project>

‎2 Sorting/2.3/2.3.10/App.config‎

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<?xml version="1.0" encoding="utf-8" ?>
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<configuration>
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<startup>
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<supportedRuntime version="v4.0" sku=".NETFramework,Version=v4.7" />
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</startup>
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</configuration>

‎2 Sorting/2.3/2.3.10/Program.cs‎

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using System;
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namespace _2._3._10
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{
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/*
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* 2.3.10
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*
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* Chebyshev 不等式表明，
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* 一个随机变量的标准差距离均值大于 k 的概率小于 1/k^2 。
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* 对于 N=100 万，
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* 用 Chebyshev 不等式计算快速排序所使用的比较次数大于 1000 亿次的概率（0.1N^2）。
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*
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*/
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class Program
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{
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static void Main(string[] args)
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{
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// 切比雪夫不等式（Chebyshev's inequality）
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// P(|X-μ| ≥ kσ) ≤ 1/(k^2)
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// 其中 μ 是期望，σ 是标准差。
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// 在快速排序的比较次数中，μ=2NlnN，σ=0.65N
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// （这两个结论可以见 2.3 节的命题 K 和命题 L）
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// 题目中要求比较次数大于 0.1N^2，可以得到等式：
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// 0.65N * k = 0.1N^2
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// k = 2/13 * N
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// 将 N = 1 000 000 代入
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// P(|X-27 631 021| ≥ 100 000 000 000) ≤ 0.00000000004225
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// P ≤ 0.000000004225 %
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double N = 10000000;
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double k = 0.1 * N / 0.65;
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Console.WriteLine(1.0 / (k * k));//4.225x10^-13
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}
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}
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}

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