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+ {1DB9E237-2513-4A52-92E6-D71828122D83}.Debug|Any CPU.ActiveCfg = Debug|Any CPU + {1DB9E237-2513-4A52-92E6-D71828122D83}.Debug|Any CPU.Build.0 = Debug|Any CPU + {1DB9E237-2513-4A52-92E6-D71828122D83}.Release|Any CPU.ActiveCfg = Release|Any CPU + {1DB9E237-2513-4A52-92E6-D71828122D83}.Release|Any CPU.Build.0 = Release|Any CPU + EndGlobalSection + GlobalSection(SolutionProperties) = preSolution + HideSolutionNode = FALSE + EndGlobalSection + GlobalSection(ExtensibilityGlobals) = postSolution + SolutionGuid = {00207152-6054-4EBA-9B31-E22685B75110} + EndGlobalSection +EndGlobal diff --git a/almukhammetov_bulat_lab_6/MatrixDeterminant/MatrixDeterminant/MatrixDeterminant.csproj b/almukhammetov_bulat_lab_6/MatrixDeterminant/MatrixDeterminant/MatrixDeterminant.csproj new file mode 100644 index 0000000..2150e37 --- /dev/null +++ b/almukhammetov_bulat_lab_6/MatrixDeterminant/MatrixDeterminant/MatrixDeterminant.csproj @@ -0,0 +1,10 @@ + + + + Exe + net8.0 + enable + enable + + + diff --git a/almukhammetov_bulat_lab_6/MatrixDeterminant/MatrixDeterminant/Program.cs b/almukhammetov_bulat_lab_6/MatrixDeterminant/MatrixDeterminant/Program.cs new file mode 100644 index 0000000..0e99578 --- /dev/null +++ b/almukhammetov_bulat_lab_6/MatrixDeterminant/MatrixDeterminant/Program.cs @@ -0,0 +1,199 @@ +using System.Diagnostics; + +class Program +{ + static void Main() + { + Console.WriteLine("Введите количество потоков:"); + string input = Console.ReadLine(); + + + if (!int.TryParse(input, out int threadCount)) + { + Console.WriteLine("Введено некорректное значение, будет использовано значение по умолчанию: 4"); + threadCount = 4; + } + + // Генерация матриц + int[,] matrix6 = GenerateMatrix(6, 6); + int[,] matrix8 = GenerateMatrix(8, 8); + int[,] matrix10 = GenerateMatrix(10, 10); + + // Счетчики для расчета среднего + long totalTimeSeq6 = 0, totalTimePar6 = 0; + long totalTimeSeq8 = 0, totalTimePar8 = 0; + long totalTimeSeq10 = 0, totalTimePar10 = 0; + long totalMemorySeq6 = 0, totalMemoryPart6 = 0; + long totalMemorySeq8 = 0, totalMemoryPar8 = 0; + long totalMemorySeq10 = 0, totalMemoryPar10 = 0; + + int iterations = 10; + + for (int i = 0; i < iterations; i++) + { + Console.WriteLine($"Прогон #{i + 1}:\n"); + + // 6x6 + var (timeSeq6, memSeq6, timePar6, memPar6) = TestMatrixOperation(matrix6, threadCount); + totalTimeSeq6 += timeSeq6; + totalTimePar6 += timePar6; + totalMemorySeq6 += memSeq6; + totalMemoryPart6 += memPar6; + + // 8x8 + var (timeSeq8, memSeq8, timePar8, memPar8) = TestMatrixOperation(matrix8, threadCount); + totalTimeSeq8 += timeSeq8; + totalTimePar8 += timePar8; + totalMemorySeq8 += memSeq8; + totalMemoryPar8 += memPar8; + + // 10x10 + var (timeSeq10, memSeq10, timePar10, memPar10) = TestMatrixOperation(matrix10, threadCount); + totalTimeSeq10 += timeSeq10; + totalTimePar10 += timePar10; + totalMemorySeq10 += memSeq10; + totalMemoryPar10 += memPar10; + } + + // Вывод средних значений + Console.WriteLine($"\nСреднее время (мс) и расход памяти (байт) для последовательного и параллельного определения детерминанта:"); + + Console.WriteLine($"6x6: Последовательно: Время: {totalTimeSeq6 / iterations} мс, Память: {totalMemorySeq6 / iterations} байт"); + Console.WriteLine($"6x6: Параллельно: Время: {totalTimePar6 / iterations} мс, Память: {totalMemoryPart6 / iterations} байт"); + + Console.WriteLine($"8x8: Последовательно: Время: {totalTimeSeq8 / iterations} мс, Память: {totalMemorySeq8 / iterations} байт"); + Console.WriteLine($"8x8: Параллельно: Время: {totalTimePar8 / iterations} мс, Память: {totalMemoryPar8 / iterations} байт"); + + Console.WriteLine($"10x10: Последовательно: Время: {totalTimeSeq10 / iterations} мс, Память: {totalMemorySeq10 / iterations} байт"); + Console.WriteLine($"10x10: Параллельно: Время: {totalTimePar10 / iterations} мс, Память: {totalMemoryPar10 / iterations} байт"); + } + + ///

+ /// Генерация матрицы + /// + /// + /// + /// + static int[,] GenerateMatrix(int rows, int cols) + { + var random = new Random(); + int[,] matrix = new int[rows, cols]; + + for (int i = 0; i < rows; i++) + { + for (int j = 0; j < cols; j++) + { + matrix[i, j] = random.Next(100); //Гененрируем значение матриц до 100 + } + } + + return matrix; + } + + /// + /// Подсчет времени и потребляемой памяти, высчитывание точного времени + /// + /// + /// + /// + /// + static (long, long, long, long) TestMatrixOperation(int[,] matrix, int threadCount) + { + if (!IsSquareMatrix(matrix)) + { + Console.WriteLine("Матрица не квадратная."); + return (0, 0, 0, 0); + } + + Stopwatch stopwatch = new(); + + // Последовательное вычисление детерминанта + long memoryBeforeSeq = GC.GetTotalMemory(true); + stopwatch.Start(); + var resultSequential = DeterminantSequential(matrix); + stopwatch.Stop(); + long memoryAfterSeq = GC.GetTotalMemory(true); + long timeSeq = stopwatch.ElapsedMilliseconds; + long memoryUsedSeq = memoryAfterSeq - memoryBeforeSeq; + Console.WriteLine($"Последовательно: Время: {timeSeq} мс, Память: {memoryUsedSeq} байт"); + + // Параллельное вычисления детерминанта + long memoryBeforePar = GC.GetTotalMemory(true); + stopwatch.Restart(); + var resultParallel = DeterminantParallel(matrix, threadCount); + stopwatch.Stop(); + long memoryAfterPar = GC.GetTotalMemory(true); + long timePar = stopwatch.ElapsedMilliseconds; + long memoryUsedPar = memoryAfterPar - memoryBeforePar; + Console.WriteLine($"Параллельно: Время: {timePar} мс, Память: {memoryUsedPar} байт"); + + return (timeSeq, memoryUsedSeq, timePar, memoryUsedPar); + } + + private static bool IsSquareMatrix(int[,] matrix) + { + return matrix.GetLength(0) == matrix.GetLength(1); + } + + private static double DeterminantParallel(int[,] matrix, int threadCount) + { + int size = matrix.GetLength(0); + if (size == 1) return matrix[0, 0]; + if (size == 2) return matrix[0, 0] * matrix[1, 1] - matrix[0, 1] * matrix[1, 0]; + + double det = 0; + var tasks = new Task[size]; + + for (int k = 0; k < size; k++) + { + int kLocal = k; + tasks[kLocal] = Task.Factory.StartNew(() => + { + return (kLocal % 2 == 0 ? 1 : -1) * matrix[0, kLocal] * DeterminantSequential(CreateSmallerMatrix(matrix, 0, kLocal)); + }); + } + + Task.WaitAll(tasks); + + foreach (var task in tasks) + { + det += task.Result; + } + + return det; + } + + private static double DeterminantSequential(int[,] matrix) + { + int size = matrix.GetLength(0); + if (size == 1) return matrix[0, 0]; + if (size == 2) return matrix[0, 0] * matrix[1, 1] - matrix[0, 1] * matrix[1, 0]; + + double det = 0; + for (int k = 0; k < size; k++) + { + det += (k % 2 == 0 ? 1 : -1) * matrix[0, k] * DeterminantSequential(CreateSmallerMatrix(matrix, 0, k)); + } + return det; + } + + private static int[,] CreateSmallerMatrix(int[,] matrix, int excludingRow, int excludingCol) + { + int size = matrix.GetLength(0); + int[,] smallerMatrix = new int[size - 1, size - 1]; + int i = 0, j = 0; + for (int row = 0; row < size; row++) + { + if (row == excludingRow) continue; + j = 0; + for (int col = 0; col < size; col++) + { + if (col == excludingCol) continue; + smallerMatrix[i, j] = matrix[row, col]; + j++; + } + i++; + } + return smallerMatrix; + } +} diff --git a/almukhammetov_bulat_lab_6/MatrixDeterminant/MatrixDeterminant/bin/Debug/net8.0/MatrixDeterminant.deps.json b/almukhammetov_bulat_lab_6/MatrixDeterminant/MatrixDeterminant/bin/Debug/net8.0/MatrixDeterminant.deps.json new file mode 100644 index 0000000..0235854 --- /dev/null +++ b/almukhammetov_bulat_lab_6/MatrixDeterminant/MatrixDeterminant/bin/Debug/net8.0/MatrixDeterminant.deps.json @@ -0,0 +1,23 @@ +{ + "runtimeTarget": { + "name": ".NETCoreApp,Version=v8.0", + "signature": "" + }, + "compilationOptions": {}, + "targets": { + ".NETCoreApp,Version=v8.0": { + "MatrixDeterminant/1.0.0": { + "runtime": { + "MatrixDeterminant.dll": {} + } + } + } + }, + "libraries": { + "MatrixDeterminant/1.0.0": { + 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zeWlOn(Vj79=ozWTht_=PV?88fk^@L@I)StlY9-x`IJmDvr7a8M(g_AK@Jx2zNqv;G3hUxS$ zOczaJz};(_POptl7fr@=&UnOvHp2S*(Nbg>6Ea2Ni=DdfiZWJc*zQJ&{>2$Z*Mw z8!~f2hT7aN$O0>-8uws9L*N5L-w^&Agcg(h{{eb1&9r3pxD7&Gl1~p9v$`-Jp?#x( z8E!0J7jR+%nK1OaU`=2a!*%}oL-mkBm)WF=Ed~)_WaU{xd57U(N-&~{bi+aEEJivQ zF(XDlBZh!fhhPxttn?LH(}6FctWY&U4>tjtrG=Z&RlNz8swU_&@T|p40;nFx(6dyj z0G;2iwSgW7FCnSMq!yG4%KHrEP33ZE7NM-Bh1oISzoY2mB}NC95oEwnv@`F+&?9Z2 z4>m_kMlh~cll?=rB_p^8(q@o@2MnT +using System; +using System.Reflection; +[assembly: global::System.Runtime.Versioning.TargetFrameworkAttribute(".NETCoreApp,Version=v8.0", FrameworkDisplayName = ".NET 8.0")] diff --git a/almukhammetov_bulat_lab_6/MatrixDeterminant/MatrixDeterminant/obj/Debug/net8.0/MatrixDeterminant.AssemblyInfo.cs b/almukhammetov_bulat_lab_6/MatrixDeterminant/MatrixDeterminant/obj/Debug/net8.0/MatrixDeterminant.AssemblyInfo.cs new file mode 100644 index 0000000..070c3e6 --- /dev/null +++ b/almukhammetov_bulat_lab_6/MatrixDeterminant/MatrixDeterminant/obj/Debug/net8.0/MatrixDeterminant.AssemblyInfo.cs @@ -0,0 +1,23 @@ +//------------------------------------------------------------------------------ +// +// Этот код создан программой. +// Исполняемая версия:4.0.30319.42000 +// +// Изменения в этом файле могут привести к неправильной работе и будут потеряны в случае +// повторной генерации кода. +// +//------------------------------------------------------------------------------ + +using System; +using System.Reflection; + +[assembly: System.Reflection.AssemblyCompanyAttribute("MatrixDeterminant")] +[assembly: System.Reflection.AssemblyConfigurationAttribute("Debug")] +[assembly: System.Reflection.AssemblyFileVersionAttribute("1.0.0.0")] +[assembly: System.Reflection.AssemblyInformationalVersionAttribute("1.0.0+a346187851ddda07b6b4d0de75645f9c8d61bee4")] +[assembly: System.Reflection.AssemblyProductAttribute("MatrixDeterminant")] +[assembly: System.Reflection.AssemblyTitleAttribute("MatrixDeterminant")] +[assembly: System.Reflection.AssemblyVersionAttribute("1.0.0.0")] + +// Создано классом WriteCodeFragment MSBuild. + diff --git a/almukhammetov_bulat_lab_6/MatrixDeterminant/MatrixDeterminant/obj/Debug/net8.0/MatrixDeterminant.AssemblyInfoInputs.cache b/almukhammetov_bulat_lab_6/MatrixDeterminant/MatrixDeterminant/obj/Debug/net8.0/MatrixDeterminant.AssemblyInfoInputs.cache new file mode 100644 index 0000000..6247c8c --- /dev/null +++ b/almukhammetov_bulat_lab_6/MatrixDeterminant/MatrixDeterminant/obj/Debug/net8.0/MatrixDeterminant.AssemblyInfoInputs.cache @@ -0,0 +1 @@ +b62c0f7623532347296dfda403f8e24f24f5ff22aefaec77949419a46c5345d5 diff --git a/almukhammetov_bulat_lab_6/MatrixDeterminant/MatrixDeterminant/obj/Debug/net8.0/MatrixDeterminant.GeneratedMSBuildEditorConfig.editorconfig b/almukhammetov_bulat_lab_6/MatrixDeterminant/MatrixDeterminant/obj/Debug/net8.0/MatrixDeterminant.GeneratedMSBuildEditorConfig.editorconfig new file mode 100644 index 0000000..f9f32b7 --- /dev/null +++ b/almukhammetov_bulat_lab_6/MatrixDeterminant/MatrixDeterminant/obj/Debug/net8.0/MatrixDeterminant.GeneratedMSBuildEditorConfig.editorconfig @@ -0,0 +1,13 @@ +is_global = true +build_property.TargetFramework = net8.0 +build_property.TargetPlatformMinVersion = +build_property.UsingMicrosoftNETSdkWeb = +build_property.ProjectTypeGuids = +build_property.InvariantGlobalization = +build_property.PlatformNeutralAssembly = +build_property.EnforceExtendedAnalyzerRules = +build_property._SupportedPlatformList = Linux,macOS,Windows +build_property.RootNamespace = MatrixDeterminant +build_property.ProjectDir = D:\Документы\GitHub\DAS_2023_1\almukhammetov_bulat_lab_6\MatrixDeterminant\MatrixDeterminant\ +build_property.EnableComHosting = +build_property.EnableGeneratedComInterfaceComImportInterop = diff --git a/almukhammetov_bulat_lab_6/MatrixDeterminant/MatrixDeterminant/obj/Debug/net8.0/MatrixDeterminant.GlobalUsings.g.cs b/almukhammetov_bulat_lab_6/MatrixDeterminant/MatrixDeterminant/obj/Debug/net8.0/MatrixDeterminant.GlobalUsings.g.cs new file mode 100644 index 0000000..8578f3d --- /dev/null +++ b/almukhammetov_bulat_lab_6/MatrixDeterminant/MatrixDeterminant/obj/Debug/net8.0/MatrixDeterminant.GlobalUsings.g.cs @@ -0,0 +1,8 @@ +// +global using global::System; +global using global::System.Collections.Generic; +global using global::System.IO; +global using global::System.Linq; +global using global::System.Net.Http; +global using global::System.Threading; +global using global::System.Threading.Tasks; diff --git a/almukhammetov_bulat_lab_6/MatrixDeterminant/MatrixDeterminant/obj/Debug/net8.0/MatrixDeterminant.assets.cache b/almukhammetov_bulat_lab_6/MatrixDeterminant/MatrixDeterminant/obj/Debug/net8.0/MatrixDeterminant.assets.cache new file mode 100644 index 0000000000000000000000000000000000000000..b58121e2c29651d45c4c75140b11c180d26a489f GIT binary patch literal 152 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b/almukhammetov_bulat_lab_6/README.md @@ -0,0 +1,137 @@ +Альмухамметов ПИбд-42 + +Описание программы: + +Эта программа предназначена для расчета детерминанта квадратных матриц с использованием как последовательных, так и параллельных вычислений. Она позволяет оценить и сравнить производительность и использование памяти обоих методов. + +Основные функции программы: + +Ввод количества потоков: Пользователь может ввести количество потоков, которые будут использоваться для параллельных вычислений. Если введено некорректное значение, по умолчанию используется 4 потока. + +Генерация матриц: Программа генерирует квадратные матрицы заданных размеров (6x6, 8x8 и 10x10) со случайными значениями. + +Тестирование производительности: Программа выполняет расчет детерминанта для каждой сгенерированной матрицы, используя последовательные и параллельные вычисления. Это повторяется 10 раз для получения средних значений времени выполнения и использованной памяти. + +Вывод результатов: После тестирования программа выводит средние значения времени выполнения и использованной памяти для последовательных и параллельных вычислений для каждого размера матрицы. + +Основные методы программы: + +GenerateMatrix(int rows, int cols): Генерирует матрицу заданного размера с случайными значениями. + +TestMatrixOperation(int[,] matrix, int threadCount): Выполняет расчет детерминанта для заданной матрицы обоими методами и измеряет время выполнения и использованную память. + +IsSquareMatrix(int[,] matrix): Проверяет, является ли матрица квадратной. + +DeterminantParallel(int[,] matrix, int threadCount): Вычисляет детерминант матрицы, используя параллельные вычисления. + +DeterminantSequential(int[,] matrix): Вычисляет детерминант матрицы последовательным методом. + +CreateSmallerMatrix(int[,] matrix, int excludingRow, int excludingCol): Создает меньшую матрицу путем исключения заданной строки и столбца из исходной матрицы. + +Проверка работоспособности: +![Alt text](image.png) + +![Alt text](image-1.png) + +Результаты: + +Введите количество потоков: +2 +Прогон #1: + +Последовательно: Время: 0 мс, Память: 0 байт +Параллельно: Время: 6 мс, Память: 640 байт +Последовательно: Время: 3 мс, Память: 0 байт +Параллельно: Время: 5 мс, Память: 832 байт +Последовательно: Время: 389 мс, Память: 0 байт +Параллельно: Время: 121 мс, Память: 4744 байт +Прогон #2: + +Последовательно: Время: 0 мс, Память: 0 байт +Параллельно: Время: 0 мс, Память: 0 байт +Последовательно: Время: 3 мс, Память: 0 байт +Параллельно: Время: 1 мс, Память: 0 байт +Последовательно: Время: 324 мс, Память: 0 байт +Параллельно: Время: 77 мс, Память: 0 байт +Прогон #3: + +Последовательно: Время: 0 мс, Память: 0 байт +Параллельно: Время: 0 мс, Память: 0 байт +Последовательно: Время: 3 мс, Память: 0 байт +Параллельно: Время: 0 мс, Память: 0 байт +Последовательно: Время: 336 мс, Память: 0 байт +Параллельно: Время: 75 мс, Память: 0 байт +Прогон #4: + +Последовательно: Время: 0 мс, Память: 0 байт +Параллельно: Время: 0 мс, Память: 0 байт +Последовательно: Время: 3 мс, Память: 0 байт +Параллельно: Время: 1 мс, Память: 0 байт +Последовательно: Время: 317 мс, Память: 0 байт +Параллельно: Время: 75 мс, Память: 0 байт +Прогон #5: + +Последовательно: Время: 0 мс, Память: 0 байт +Параллельно: Время: 0 мс, Память: 0 байт +Последовательно: Время: 3 мс, Память: 0 байт +Параллельно: Время: 1 мс, Память: 0 байт +Последовательно: Время: 324 мс, Память: 0 байт +Параллельно: Время: 74 мс, Память: 0 байт +Прогон #6: + +Последовательно: Время: 0 мс, Память: 0 байт +Параллельно: Время: 0 мс, Память: 0 байт +Последовательно: Время: 3 мс, Память: 0 байт +Параллельно: Время: 1 мс, Память: 0 байт +Последовательно: Время: 322 мс, Память: 0 байт +Параллельно: Время: 77 мс, Память: 0 байт +Прогон #7: + +Последовательно: Время: 0 мс, Память: 0 байт +Параллельно: Время: 0 мс, Память: 0 байт +Последовательно: Время: 3 мс, Память: 0 байт +Параллельно: Время: 1 мс, Память: 0 байт +Последовательно: Время: 341 мс, Память: 0 байт +Параллельно: Время: 74 мс, Память: 0 байт +Прогон #8: + +Последовательно: Время: 0 мс, Память: 0 байт +Параллельно: Время: 0 мс, Память: 0 байт +Последовательно: Время: 3 мс, Память: 0 байт +Параллельно: Время: 1 мс, Память: 0 байт +Последовательно: Время: 319 мс, Память: 0 байт +Параллельно: Время: 74 мс, Память: 0 байт +Прогон #9: + +Последовательно: Время: 0 мс, Память: 0 байт +Параллельно: Время: 0 мс, Память: 0 байт +Последовательно: Время: 3 мс, Память: 0 байт +Параллельно: Время: 1 мс, Память: 0 байт +Последовательно: Время: 337 мс, Память: 0 байт +Параллельно: Время: 76 мс, Память: 0 байт +Прогон #10: + +Последовательно: Время: 0 мс, Память: 0 байт +Параллельно: Время: 0 мс, Память: 0 байт +Последовательно: Время: 3 мс, Память: 0 байт +Параллельно: Время: 0 мс, Память: 0 байт +Последовательно: Время: 348 мс, Память: 0 байт +Параллельно: Время: 78 мс, Память: 0 байт + +Среднее время (мс) и расход памяти (байт) для последовательного и параллельного определения детерминанта: +6x6: Последовательно: Время: 0 мс, Память: 0 байт +6x6: Параллельно: Время: 0 мс, Память: 64 байт +8x8: Последовательно: Время: 3 мс, Память: 0 байт +8x8: Параллельно: Время: 1 мс, Память: 83 байт +10x10: Последовательно: Время: 335 мс, Память: 0 байт +10x10: Параллельно: Время: 80 мс, Память: 474 байт + +Выводы: + +1. Для небольших матриц (6x6 и 8x8) разница во времени выполнения между последовательным и параллельным методами незначительна. Однако при увеличении размера матрицы до 10x10 параллельные вычисления значительно ускоряют процесс. +2. Параллельные вычисления требуют немного больше памяти. Это связано дополнительными затратами на создание и управление потоками. +3. Параллельное выполнение становится более выгодным с увеличением сложности задачи, что видно из значительного уменьшения времени вычислений для 10x10 матрицы. + +Видео: + +https://vk.com/video228053206_456240783?list=ln-gr1nvdhEV3ZZ74iKE0 \ No newline at end of file diff --git a/almukhammetov_bulat_lab_6/image-1.png b/almukhammetov_bulat_lab_6/image-1.png new file mode 100644 index 0000000000000000000000000000000000000000..886391be9439ab0f0dd8f474666e1c4956cb925b GIT binary patch literal 449695 zcmYg%WmH^A*ELSC5D4z>?%KFJ1a}C*J-7vTcXxMpcL);Pt#NmkuV?0&`QEi|t?t`D z?yWvmb!6{-LKWpDkl=CP!N9ppSw;QX*+Z)ESuc zMH*G|Li?TD#WZet;`|5avK)}lb-mT({P$XEs>>ud!BF6MgaKBN;XfCYxba@L5$$TIa%--#KC}g+0#DRTcf<`o6NW7JWi=nPtE=mXN@B@)!qM@HW`5f<0=C4k z`1<4mTd(m16Jr10mkK&DShKfVT87Dg&&Ly^$6!TDhg8w)+4cG`=ttJxMU^2|%3|to zYSC!qM~IzQxnVBDvn4S7cScwqYtG|N(<8J0duTsXM10I$Zd^)Gx zGFD{bY{pt*MzB2n?2+mX;J-IAuxWt(`1j5p+=4kprC$ao@+jFnWxA>~t>B~fa{S*3 z1KH@nSpR#E90Bt4fshmmCO3Nq*;}>np(^EnlPaRHLp1p3u1IU8(UMYunSF00mh>8} zpXsjmkLi!?T7I9M_KQTUo`BX7s-KdqR^c&|4gcQ|DQ$kn|9h7PF$05qmJw)^Vte{a+{xTO06N8ygW`YIkkh56IsOIPH9hu zy-ZAAR#N#1jMfF&ZLH&dfpH`2>MT`BTj!`Ftnt1$_pD+L&~U>}bX>EbdWdX~D|Hcb z_4s?Yj@fXKFvJi;R`B-N7OgR(DfHNTt=b|MHWwsr9L>Ye=VK|XMK%{3bePE{u=yhO z>FHs?3eJ5aJO6gqR!G>%Q3^!3p3>4%hbZDDh?e^rXr}%-#^DhN*9(1(Zo_&V;S_{E zEAZd{8o8g%`S>@)<9YkVP>E9hbd$Aq$L)-a>t!#ju7RcqV-cr;|Cg~mW={gSsUE@B z1qNyvCR1(w->XCuthQV;YIBPS)~Giy#+L?8Y2n{nn~riiS-dI>&SrC6l;UJ$OR+EgMIC3t26;*(#yU4Trw}=1vf|RNS z*F#K9oWfy^19&-QZLrgK!1z=I9|A;N0MEcGyX&yvUnxbt>5ur;rUtY=m_4~LHdF$%TEWvf#=Y&ea!h)vH z4V_+P*Mr7|^vYw2*0HN2HyRhi6Nsn5fKl2CtvR)I%42JX+4q>}(n^j&Boq82brUB& zb)YJ=o0kfN1B#|z8Q4L`3SqVvo$;mj$y`A>xxf3z=u1wnqmQ_~cdnQexS z97Mo-JGt13oG^G&b!C7%9o$XF*;PX$co~Oh0r_Y4X3S?=?h=e;)Zg-5i7`r=p;sxZcgHi=_%{Xr$OZoE{ud zCTj%ii15mtV2KuI57={CBCulSdsVca;)VS28eOg;596H)+H&B;>6aL@v89Z4+L{YH zs{z^kE;>mUOI?t0As(!*C_%2hjF3`2x8*nqwbD;@))Mz6z(}FZ!>1&wR616SUik|y zvr0uU-_V@}z~*ELD+GIYCF8zU2Q$6E3UJhP9Tx2^I8AK#=I zAZZU%RTl3&^?u`YGtc!G&~jwc^6Y?hI8v*RN3{)UbNo`>Z61RJCFzgc;)KVLoN0|CdYkQG<5Xs&W8K-~{=+(O+8rAu`!GHY^BwwNv{EY(s@SfO{1Ka>x zB7dxt7K35RiV`Wf>qrc-@Fn@Sx^I9Us;3lGk-2+qX_X80umVYESdA1J5dcGymslG{ zB|`3sC4!EloW)KYwZ;f~X14>bjziXeM(iyuIOR%7-O%4emVE@|zwvL-xvNQDnxFJFU@|xP8cu?>uW-Cyuzx)!phH zBkLN^ohNgjJ1I1J7no_Z3)QY(6(v&E1Z-o6nV`Qz@p(3AnJ85{CSEnOXU%WgR_K0} zTc|?IUR*QjlqtQ>XmEL}wU4ZI#^dSKw_e*kzDaQcyN+{syITY%s_XT3dA*2gdV6=( zK)qiL6EZuWYA7u{wt_QyeeicB&&Y6&h@n$CF-oa4=JdPLy?Ij)xy0N=DaO0updTO5 zK7Se0&HD0hG&aO4^2T;OQ++h-*TMs|P#}^q@P82aV4Mx?%YML?%`DVsA{D z1ugoS8VkiCF8z@KpDNX84``G`4N!e5TLYZ2cT5}$%MajTqK51St;t(+3Lg6VNJ8ie zW#wqh_%TSCo6Dxf7)$VL7^(w4036| zd^hL@NH(2?&#|+$qzp{v@o!LtxtgkrVA&%YZKj36M0Jlwwd9%~P|FXeW7RE(5-u-%w z@O*zpdyw`yS;vs!#u>|pk|DPEY!)1t>>XVgDPC!9aH6d+#kza1DYbCD>3M@xB%evs zH_UV{)GDBwjDr)+cm2u8$Y@tbb)-k-?dG8a2Az+qtQIpRA>*{<|59?LS=lh#ne!0d`%@|X9T4s;WCM22Urrl-<(Ze zV2SWoc;%OZuBE1q<8U)~p-er)z44xVzX>cu?g-1>dz$7w5ZDh+OM zOdQwGGDVOM({c<>uoA_jPKK+}QH1GR8Pr14gw1{mk~Oks-CuAvU8tNFgK~lzpSRMs zY%9Fr#+B;px5}<)O<1$#y26^rMsX=AxXDc3#ey}#Y#ygDG=s!KTUed>V)Xa-7h7(9 zgwOPSkp2Wcc_I!QC>AUV#(`DpqqH?-fotXE090aHH`O((tL*@3G&UF9N@rT#dF^m^ z44u{-63uaer`>oaoJdz-Bxi-U=vYh8m`B3h+?S{Bj~4;Ho8PQzVxTi})W37l^&-#k zPlj*)7!VYYBk}^Zjm^r`lb!8@OVywc0SWm99h>-G-A*w^r=RU72}v3;`Cdr|>p_pN zNJwPko3FX<_58|Ixds*OqW{2*(Um2##EQ;{MpR|xoTA3fp6TJ-Xw#LTk&&Q)!O zBR+c+c*W&u{Zw8{%d>y%z-Ax<<`}oSqTK0l-57RFQj;*XO)@{BlI>ZSE(&^ZL?Io0um&PX zy73NZq%TU*GTIu?TQl(jc3GP1?Tb#El=Ud3Reb5MYuoLMsL!iQqwd3Z>XtT|P@9HI z;@o)&&C=nDzxl+<|=9DN?r)ma)8W?0?bqQ zs1487zR1m6l9+Q{r$~-gK9pNbjviMD?7v(v^Zp&wTBA$OZSTB)t4)o@Qx*ycR zo3ZVjT=w+|w-&&~WJGk^!_h?i;?)TRRK5>gbdS3U6}FqjCPhiW8p^#e1T{ivA$cr* zbMBW>ep3b|(aP~JhbwKrFlIM_g;z!TwWsht^9u`7efxZB3&|^s++%LUf;VZaQw+7REaMBrX

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