Добавьте файлы проекта.

MathModeling.sln

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+
+Microsoft Visual Studio Solution File, Format Version 12.00
+# Visual Studio Version 17
+VisualStudioVersion = 17.9.34701.34
+MinimumVisualStudioVersion = 10.0.40219.1
+Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "MathModeling", "MathModeling\MathModeling.csproj", "{E5424FC6-6672-4CA4-BA54-3800CF46A088}"
+EndProject
+Global
+	GlobalSection(SolutionConfigurationPlatforms) = preSolution
+		Debug|Any CPU = Debug|Any CPU
+		Release|Any CPU = Release|Any CPU
+	EndGlobalSection
+	GlobalSection(ProjectConfigurationPlatforms) = postSolution
+		{E5424FC6-6672-4CA4-BA54-3800CF46A088}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
+		{E5424FC6-6672-4CA4-BA54-3800CF46A088}.Debug|Any CPU.Build.0 = Debug|Any CPU
+		{E5424FC6-6672-4CA4-BA54-3800CF46A088}.Release|Any CPU.ActiveCfg = Release|Any CPU
+		{E5424FC6-6672-4CA4-BA54-3800CF46A088}.Release|Any CPU.Build.0 = Release|Any CPU
+	EndGlobalSection
+	GlobalSection(SolutionProperties) = preSolution
+		HideSolutionNode = FALSE
+	EndGlobalSection
+	GlobalSection(ExtensibilityGlobals) = postSolution
+		SolutionGuid = {F91FAD0E-40B2-42DA-92E2-7F1C39E6D508}
+	EndGlobalSection
+EndGlobal

MathModeling/App.config

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+<?xml version="1.0" encoding="utf-8" ?>
+<configuration>
+    <startup> 
+        <supportedRuntime version="v4.0" sku=".NETFramework,Version=v4.7.2" />
+    </startup>
+</configuration>

MathModeling/MathModeling.csproj

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+<?xml version="1.0" encoding="utf-8"?>
+<Project ToolsVersion="15.0" 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>{E5424FC6-6672-4CA4-BA54-3800CF46A088}</ProjectGuid>
+    <OutputType>Exe</OutputType>
+    <RootNamespace>MathModeling</RootNamespace>
+    <AssemblyName>MathModeling</AssemblyName>
+    <TargetFrameworkVersion>v4.7.2</TargetFrameworkVersion>
+    <FileAlignment>512</FileAlignment>
+    <AutoGenerateBindingRedirects>true</AutoGenerateBindingRedirects>
+    <Deterministic>true</Deterministic>
+  </PropertyGroup>
+  <PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Debug|AnyCPU' ">
+    <PlatformTarget>AnyCPU</PlatformTarget>
+    <DebugSymbols>true</DebugSymbols>
+    <DebugType>full</DebugType>
+    <Optimize>false</Optimize>
+    <OutputPath>bin\Debug\</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="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.Net.Http" />
+    <Reference Include="System.Xml" />
+  </ItemGroup>
+  <ItemGroup>
+    <Compile Include="Program.cs" />
+    <Compile Include="Properties\AssemblyInfo.cs" />
+  </ItemGroup>
+  <ItemGroup>
+    <None Include="App.config" />
+  </ItemGroup>
+  <Import Project="$(MSBuildToolsPath)\Microsoft.CSharp.targets" />
+</Project>

MathModeling/Program.cs

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+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Runtime.InteropServices;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace MathModeling
+{
+    internal class Program
+    {
+        static void Main(string[] args)
+        {
+            int[,] supplyAndDemand = { {16, 26, 12, 24, 3 },
+                                      { 5,  2,  19, 27, 2 },
+                                      { 29, 23, 25, 16, 8 },
+                                      { 2,  25, 14, 15, 21 } };
+            int[] consumers = { 14, 14, 14, 14 };
+            int[] providers = { 13, 5, 13, 12, 13 };
+
+            if (consumers.Sum() == providers.Sum())
+            {
+                PhogelMethod(supplyAndDemand, consumers, providers);
+                PrintTable(supplyAndDemand);
+            }
+            else
+            {
+                Console.WriteLine("Некорректные данные!");
+            }
+            Console.ReadKey();
+        }
+
+        private static void MinElementMethod(int[,] supplyAndDemand, int[] consumers, int[] providers)
+        {
+            bool[,] fill = new bool[supplyAndDemand.GetLength(0), supplyAndDemand.GetLength(1)];
+            var minElements = MinElements(supplyAndDemand, fill);
+            do
+            {
+                for (int i = 0; i < minElements.Count; i++)
+                {
+                    var point = minElements[i];
+                    int row = point.Item1;
+                    int col = point.Item2;
+                    DoStuffOnCoords(supplyAndDemand, consumers, providers, fill, row, col);
+                }
+                minElements = MinElements(supplyAndDemand, fill);
+            }
+            while (minElements.Count > 0);
+        }
+
+        private static void DoStuffOnCoords(int[,] supplyAndDemand, int[] consumers, int[] providers, bool[,] fill, int row, int col)
+        {
+            int consumer = consumers[row];
+            int provider = providers[col];
+            var min = Math.Min(consumer, provider);
+            if ((consumers[row] -= min) == 0)
+            {
+                for (int j = 0; j < providers.Length; j++)
+                {
+                    if (fill[row, j])
+                        continue;
+                    supplyAndDemand[row, j] = 0;
+                    fill[row, j] = true;
+                }
+            }
+            if ((providers[col] -= min) == 0)
+            {
+                for (int j = 0; j < consumers.Length; j++)
+                {
+                    if (fill[j, col])
+                        continue;
+                    supplyAndDemand[j, col] = 0;
+                    fill[j, col] = true;
+                }
+            }
+            supplyAndDemand[row, col] = min;
+        }
+
+        private static List<(int, int)> MinElements(int[,] table, bool[,] fill)
+        {
+            int min = int.MaxValue;
+            var points = new List<(int, int)>();
+
+            for (int i = 0; i < table.GetLength(0); i++)
+            {
+                for (int j = 0; j < table.GetLength(1); j++)
+                {
+                    if (fill[i, j])
+                        continue;
+                    if (min == table[i, j])
+                    {
+                        points.Add((i, j));
+                    }
+                    else if (min > table[i, j])
+                    {
+                        min = table[i, j];
+                        points.Clear();
+                        points.Add((i, j));
+                    }
+                }
+            }
+
+            return points;
+        }
+
+        private static void PhogelMethod(int[,] supplyAndDemand, int[] consumers, int[] providers)
+        {
+            bool[,] fill = new bool[supplyAndDemand.GetLength(0), supplyAndDemand.GetLength(1)];
+            int[] consumerFees = new int[consumers.Length];
+            int[] providerFees = new int[providers.Length];
+
+            while (AnyIsUnfill(fill))
+            {
+                RecalculateFees(supplyAndDemand, consumerFees, providerFees, fill);
+
+                int rowInd = MaxIndex(consumerFees);
+                int colInd = MaxIndex(providerFees);
+
+                if (consumerFees[rowInd] >= providerFees[colInd])
+                {
+                    int ind = 0;
+                    int min = int.MaxValue;
+                    for (int i = 0; i < supplyAndDemand.GetLength(1); i++)
+                    {
+                        if (fill[rowInd, i])
+                            continue;
+                        if (min > supplyAndDemand[rowInd, i])
+                        {
+                            ind = i;
+                            min = supplyAndDemand[rowInd, i];
+                        }
+                    }
+
+                    DoStuffOnCoords(supplyAndDemand, consumers, providers, fill, rowInd, ind);
+                }
+                else
+                {
+                    int ind = 0;
+                    int min = int.MaxValue;
+                    for (int i = 0; i < supplyAndDemand.GetLength(0); i++)
+                    {
+                        if (fill[i, colInd])
+                            continue;
+                        if (min > supplyAndDemand[i, colInd])
+                        {
+                            ind = i;
+                            min = supplyAndDemand[i, colInd];
+                        }
+                    }
+
+                    DoStuffOnCoords(supplyAndDemand, consumers, providers, fill, ind, colInd);
+                }
+            }
+        }
+
+        private static void RecalculateFees(int[,] supplyAndDemand, int[] consumerFees, int[] providerFees, bool[,] fill)
+        {
+            for (int i = 0; i < consumerFees.Length; i++)
+            {
+                int[] row = new int[supplyAndDemand.GetLength(1)];
+                bool[] fillMask = new bool[row.Length];
+                for (int j = 0; j < row.Length; j++)
+                {
+                    row[j] = supplyAndDemand[i, j];
+                    fillMask[j] = fill[i, j];
+                }
+                consumerFees[i] = CalculateFee(row, fillMask);
+            }
+
+            for (int i = 0; i < providerFees.Length; i++)
+            {
+                int[] col = new int[supplyAndDemand.GetLength(0)];
+                bool[] fillMask = new bool[col.Length];
+                for (int j = 0; j < col.Length; j++)
+                {
+                    col[j] = supplyAndDemand[j, i];
+                    fillMask[j] = fill[j, i];
+                }
+                providerFees[i] = CalculateFee(col, fillMask);
+            }
+        }
+
+        private static int CalculateFee(int[] arr, bool[] filled)
+        {
+            int min = int.MaxValue;
+            int filledAmount = 0;
+            for (int i = 0; i < arr.Length; i++)
+            {
+                if (filled[i])
+                {
+                    filledAmount++;
+                    continue;
+                }
+                if (arr[i] < min)
+                    min = arr[i];
+            }
+            if (filledAmount == arr.Length - 1)
+                return min;
+            int min1 = int.MaxValue;
+            bool flag = false;
+            for (int i = 0; i < arr.Length; i++)
+            {
+                if (min == arr[i] || filled[i])
+                    continue;
+                if (arr[i] < min1)
+                {
+                    min1 = arr[i];
+                    flag = true;
+                }
+            }
+            return flag ? min1 - min : 0;
+        }
+
+        private static int MaxIndex(int[] arr)
+        {
+            int max = 0;
+            int ind = 0;
+            for (int i = 0; i < arr.Length; i++)
+            {
+                if (arr[i] > max)
+                {
+                    max = arr[i];
+                    ind = i;
+                }
+            }
+            return ind;
+        }
+
+        private static bool AnyIsUnfill(bool[,] fill)
+        {
+            for (int i = 0; i < fill.GetLength(0); i++)
+            {
+                for (int j = 0; j < fill.GetLength(1); j++)
+                {
+                    if (!fill[i, j])
+                    {
+                        return true;
+                    }
+                }
+            }
+            return false;
+        }
+
+        private static void PrintTable(int[,] table)
+        {
+            for (int i = 0; i < table.GetLength(0); i++)
+            {
+                for (int j = 0; j < table.GetLength(1); j++)
+                {
+                    Console.Write(string.Format("{0,-3} ", table[i, j]));
+                }
+                Console.WriteLine();
+            }
+        }
+    }
+}

MathModeling/Properties/AssemblyInfo.cs

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+using System.Reflection;
+using System.Runtime.CompilerServices;
+using System.Runtime.InteropServices;
+
+// Общие сведения об этой сборке предоставляются следующим набором
+// набора атрибутов. Измените значения этих атрибутов для изменения сведений,
+// связанные с этой сборкой.
+[assembly: AssemblyTitle("MathModeling")]
+[assembly: AssemblyDescription("")]
+[assembly: AssemblyConfiguration("")]
+[assembly: AssemblyCompany("")]
+[assembly: AssemblyProduct("MathModeling")]
+[assembly: AssemblyCopyright("Copyright ©  2024")]
+[assembly: AssemblyTrademark("")]
+[assembly: AssemblyCulture("")]
+
+// Установка значения False для параметра ComVisible делает типы в этой сборке невидимыми
+// для компонентов COM. Если необходимо обратиться к типу в этой сборке через
+// из модели COM задайте для атрибута ComVisible этого типа значение true.
+[assembly: ComVisible(false)]
+
+// Следующий GUID представляет идентификатор typelib, если этот проект доступен из модели COM
+[assembly: Guid("e5424fc6-6672-4ca4-ba54-3800cf46a088")]
+
+// Сведения о версии сборки состоят из указанных ниже четырех значений:
+//
+//      Основной номер версии
+//      Дополнительный номер версии
+//      Номер сборки
+//      Номер редакции
+//
+// Можно задать все значения или принять номера сборки и редакции по умолчанию 
+// используя "*", как показано ниже:
+// [assembly: AssemblyVersion("1.0.*")]
+[assembly: AssemblyVersion("1.0.0.0")]
+[assembly: AssemblyFileVersion("1.0.0.0")]