From cf5fc376d59326ac046137731a91c0b8ac48c88d Mon Sep 17 00:00:00 2001
From: Jens Albrecht <jens.albrecht@th-nuernberg.de>
Date: Sun, 1 Dec 2024 21:52:33 +0100
Subject: [PATCH] .
---
Einheitsmatrix/Einheitsmatrix.cs | 54 ++++++++++++++++++++++
Einheitsmatrix/Einheitsmatrix.csproj | 10 +++++
Felder2D/Felder2D.cs | 67 ++++++++++++++++++++++++++++
Felder2D/Felder2D.csproj | 10 +++++
ProjectEuler11/ProjectEuler11.cs | 60 +++++++++++++++++++++++++
ProjectEuler11/ProjectEuler11.csproj | 10 +++++
Uebung08.sln | 43 ++++++++++++++++++
WerteMatrix/WerteMatrix.cs | 28 ++++++++++++
WerteMatrix/WerteMatrix.csproj | 10 +++++
9 files changed, 292 insertions(+)
create mode 100644 Einheitsmatrix/Einheitsmatrix.cs
create mode 100644 Einheitsmatrix/Einheitsmatrix.csproj
create mode 100644 Felder2D/Felder2D.cs
create mode 100644 Felder2D/Felder2D.csproj
create mode 100644 ProjectEuler11/ProjectEuler11.cs
create mode 100644 ProjectEuler11/ProjectEuler11.csproj
create mode 100644 Uebung08.sln
create mode 100644 WerteMatrix/WerteMatrix.cs
create mode 100644 WerteMatrix/WerteMatrix.csproj
diff --git a/Einheitsmatrix/Einheitsmatrix.cs b/Einheitsmatrix/Einheitsmatrix.cs
new file mode 100644
index 0000000..f645977
--- /dev/null
+++ b/Einheitsmatrix/Einheitsmatrix.cs
@@ -0,0 +1,54 @@
+class Program
+{
+ // Prüft, ob m eine Einheitsmatrix ist
+ static bool IsUnity(int[,] m)
+ {
+ // Prüfe, ob quadratisch
+ if (m == null || m.GetLength(0) != m.GetLength(1))
+ return false;
+
+ for (int i = 0; i < m.GetLength(0); i++)
+ {
+ for (int j = 0; j < m.GetLength(1); j++)
+ {
+ if (i == j)
+ {
+ if (m[i, j] != 1) // Prüfe Diagonale
+ return false;
+ }
+ else
+ {
+ if (m[i, j] != 0) // alle anderen Werte
+ return false;
+ }
+ }
+ }
+
+ return true;
+ }
+
+ // Hauptprogramm zum Testen
+ static void Main()
+ {
+ int[,] m1 = { { 1, 0, 0 },
+ { 0, 1, 0 },
+ { 0, 0, 1 } };
+
+ int[,] m2 = { { 1, 0, 0 },
+ { 0, 1, 0 },
+ { 0, 1, 1 } };
+
+ int[,] m3 = { { 1, 0, 0 },
+ { 0, 1, 0 },
+ { 0, 0, 0 } };
+
+ int[,] m4 = { { 1, 0, 0 },
+ { 0, 2, 0 },
+ { 0, 0, 1 } };
+
+ Console.WriteLine($"IsUnity(m1) = {IsUnity(m1)}");
+ Console.WriteLine($"IsUnity(m2) = {IsUnity(m2)}");
+ Console.WriteLine($"IsUnity(m3) = {IsUnity(m3)}");
+ Console.WriteLine($"IsUnity(m4) = {IsUnity(m4)}");
+ }
+}
diff --git a/Einheitsmatrix/Einheitsmatrix.csproj b/Einheitsmatrix/Einheitsmatrix.csproj
new file mode 100644
index 0000000..40c60dd
--- /dev/null
+++ b/Einheitsmatrix/Einheitsmatrix.csproj
@@ -0,0 +1,10 @@
+<Project Sdk="Microsoft.NET.Sdk">
+
+ <PropertyGroup>
+ <OutputType>Exe</OutputType>
+ <TargetFramework>net6.0</TargetFramework>
+ <ImplicitUsings>enable</ImplicitUsings>
+ <Nullable>enable</Nullable>
+ </PropertyGroup>
+
+</Project>
diff --git a/Felder2D/Felder2D.cs b/Felder2D/Felder2D.cs
new file mode 100644
index 0000000..bf16bb6
--- /dev/null
+++ b/Felder2D/Felder2D.cs
@@ -0,0 +1,67 @@
+class Program
+{
+ // Gibt Feld aus
+ // Parameter mitSumme steuert, ob eine Summen-Zeile erzeugt werden soll
+ static void Ausgabe(int[,] f, bool mitSumme = false)
+ {
+ for (int i = 0; i < f.GetLength(0); i++)
+ {
+ for (int j = 0; j < f.GetLength(1); j++)
+ Console.Write($"{f[i, j],5}");
+ Console.WriteLine();
+ }
+
+ if (mitSumme)
+ {
+ for (int j = 0; j < f.GetLength(1); j++)
+ Console.Write("-----");
+ Console.WriteLine();
+
+ // für jede Spalte, berechne die Summe der Zeilen
+ for (int j = 0; j < f.GetLength(1); j++)
+ {
+ int summe = 0;
+ for (int i = 0; i < f.GetLength(0); i++)
+ summe += f[i, j];
+ Console.Write($"{summe,5}");
+ }
+ Console.WriteLine();
+ }
+ }
+
+ // Transponiert eine Matrix
+ static int[,] Transponiere(int[,] f)
+ {
+ int[,] ftrans = new int[f.GetLength(1), f.GetLength(0)];
+
+ for (int i = 0; i < ftrans.GetLength(0); i++)
+ for (int j = 0; j < ftrans.GetLength(1); j++)
+ ftrans[i, j] = f[j, i];
+
+ return ftrans;
+ }
+
+ static void Main(string[] args)
+ {
+ Random rnd = new Random();
+
+ // Feld anlegen und befüllen
+ int[,] f1 = new int[3, 5];
+ for (int i = 0; i < f1.GetLength(0); i++)
+ for (int j = 0; j < f1.GetLength(1); j++)
+ f1[i, j] = rnd.Next(10);
+
+ // Feld ausgeben
+ Console.WriteLine("Original:");
+ Ausgabe(f1);
+
+ // neues, transponiertes Feld erzeugen und ausgeben
+ int[,] f2 = Transponiere(f1);
+ Console.WriteLine("\nTransponiert:");
+ Ausgabe(f2);
+
+ // Ausgabe mit Summen-Zeile
+ Console.WriteLine("\nMit Summe:");
+ Ausgabe(f2, true);
+ }
+}
diff --git a/Felder2D/Felder2D.csproj b/Felder2D/Felder2D.csproj
new file mode 100644
index 0000000..40c60dd
--- /dev/null
+++ b/Felder2D/Felder2D.csproj
@@ -0,0 +1,10 @@
+<Project Sdk="Microsoft.NET.Sdk">
+
+ <PropertyGroup>
+ <OutputType>Exe</OutputType>
+ <TargetFramework>net6.0</TargetFramework>
+ <ImplicitUsings>enable</ImplicitUsings>
+ <Nullable>enable</Nullable>
+ </PropertyGroup>
+
+</Project>
diff --git a/ProjectEuler11/ProjectEuler11.cs b/ProjectEuler11/ProjectEuler11.cs
new file mode 100644
index 0000000..cccde3b
--- /dev/null
+++ b/ProjectEuler11/ProjectEuler11.cs
@@ -0,0 +1,60 @@
+int[,] m = {{08, 02, 22, 97, 38, 15, 00, 40, 00, 75, 04, 05, 07, 78, 52, 12, 50, 77, 91, 08},
+ {49, 49, 99, 40, 17, 81, 18, 57, 60, 87, 17, 40, 98, 43, 69, 48, 04, 56, 62, 00},
+ {81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30, 03, 49, 13, 36, 65},
+ {52, 70, 95, 23, 04, 60, 11, 42, 69, 24, 68, 56, 01, 32, 56, 71, 37, 02, 36, 91},
+ {22, 31, 16, 71, 51, 67, 63, 89, 41, 92, 36, 54, 22, 40, 40, 28, 66, 33, 13, 80},
+ {24, 47, 32, 60, 99, 03, 45, 02, 44, 75, 33, 53, 78, 36, 84, 20, 35, 17, 12, 50},
+ {32, 98, 81, 28, 64, 23, 67, 10, 26, 38, 40, 67, 59, 54, 70, 66, 18, 38, 64, 70},
+ {67, 26, 20, 68, 02, 62, 12, 20, 95, 63, 94, 39, 63, 08, 40, 91, 66, 49, 94, 21},
+ {24, 55, 58, 05, 66, 73, 99, 26, 97, 17, 78, 78, 96, 83, 14, 88, 34, 89, 63, 72},
+ {21, 36, 23, 09, 75, 00, 76, 44, 20, 45, 35, 14, 00, 61, 33, 97, 34, 31, 33, 95},
+ {78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 03, 80, 04, 62, 16, 14, 09, 53, 56, 92},
+ {16, 39, 05, 42, 96, 35, 31, 47, 55, 58, 88, 24, 00, 17, 54, 24, 36, 29, 85, 57},
+ {86, 56, 00, 48, 35, 71, 89, 07, 05, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58},
+ {19, 80, 81, 68, 05, 94, 47, 69, 28, 73, 92, 13, 86, 52, 17, 77, 04, 89, 55, 40},
+ {04, 52, 08, 83, 97, 35, 99, 16, 07, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66},
+ {88, 36, 68, 87, 57, 62, 20, 72, 03, 46, 33, 67, 46, 55, 12, 32, 63, 93, 53, 69},
+ {04, 42, 16, 73, 38, 25, 39, 11, 24, 94, 72, 18, 08, 46, 29, 32, 40, 62, 76, 36},
+ {20, 69, 36, 41, 72, 30, 23, 88, 34, 62, 99, 69, 82, 67, 59, 85, 74, 04, 36, 16},
+ {20, 73, 35, 29, 78, 31, 90, 01, 74, 31, 49, 71, 48, 86, 81, 16, 23, 57, 05, 54},
+ {01, 70, 54, 71, 83, 51, 54, 69, 16, 92, 33, 48, 61, 43, 52, 01, 89, 19, 67, 48}};
+
+int n = 4;
+int max = m[0, 0];
+
+int rows = m.GetLength(0);
+int cols = m.GetLength(1);
+
+for (int i = 0; i < rows; i++)
+{
+ for (int j = 0; j < cols; j++)
+ {
+ int prod = 1;
+ // check right
+ for (int k = 0; k < n && j + k < cols; k++)
+ prod *= m[i, j + k];
+ max = prod > max ? prod : max;
+
+ // check down
+ prod = 1;
+ for (int k = 0; k < n && i + k < rows; k++)
+ prod *= m[i+k, j];
+ max = prod > max ? prod : max;
+
+ // check diagonal down right
+ prod = 1;
+ for (int k = 0; k < n && i + k < rows && j + k < cols; k++)
+ prod *= m[i + k, j + k];
+ max = prod > max ? prod : max;
+
+ // check diagonal up right
+ prod = 1;
+ for (int k = 0; k < n && i - k >= 0 && j + k < cols; k++)
+ prod *= m[i - k, j + k];
+ max = prod > max ? prod : max;
+ }
+}
+
+Console.WriteLine($"Max: {max}");
+
+
diff --git a/ProjectEuler11/ProjectEuler11.csproj b/ProjectEuler11/ProjectEuler11.csproj
new file mode 100644
index 0000000..d439800
--- /dev/null
+++ b/ProjectEuler11/ProjectEuler11.csproj
@@ -0,0 +1,10 @@
+<Project Sdk="Microsoft.NET.Sdk">
+
+ <PropertyGroup>
+ <OutputType>Exe</OutputType>
+ <TargetFramework>net7.0</TargetFramework>
+ <ImplicitUsings>enable</ImplicitUsings>
+ <Nullable>enable</Nullable>
+ </PropertyGroup>
+
+</Project>
diff --git a/Uebung08.sln b/Uebung08.sln
new file mode 100644
index 0000000..21e0f4b
--- /dev/null
+++ b/Uebung08.sln
@@ -0,0 +1,43 @@
+
+Microsoft Visual Studio Solution File, Format Version 12.00
+# Visual Studio Version 17
+VisualStudioVersion = 17.3.32929.385
+MinimumVisualStudioVersion = 10.0.40219.1
+Project("{9A19103F-16F7-4668-BE54-9A1E7A4F7556}") = "Einheitsmatrix", "Einheitsmatrix\Einheitsmatrix.csproj", "{9B11E37E-71A8-4517-BE59-C7F0D8822139}"
+EndProject
+Project("{9A19103F-16F7-4668-BE54-9A1E7A4F7556}") = "WerteMatrix", "WerteMatrix\WerteMatrix.csproj", "{AEF18FB4-9BF4-4B4F-B5FE-6A71899A79CB}"
+EndProject
+Project("{9A19103F-16F7-4668-BE54-9A1E7A4F7556}") = "Felder2D", "Felder2D\Felder2D.csproj", "{08866800-538C-480D-A272-CFE8044DD966}"
+EndProject
+Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "ProjectEuler11", "ProjectEuler11\ProjectEuler11.csproj", "{C82B72E1-7C3B-47AF-BE5E-37CCF9FC06EF}"
+EndProject
+Global
+ GlobalSection(SolutionConfigurationPlatforms) = preSolution
+ Debug|Any CPU = Debug|Any CPU
+ Release|Any CPU = Release|Any CPU
+ EndGlobalSection
+ GlobalSection(ProjectConfigurationPlatforms) = postSolution
+ {9B11E37E-71A8-4517-BE59-C7F0D8822139}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
+ {9B11E37E-71A8-4517-BE59-C7F0D8822139}.Debug|Any CPU.Build.0 = Debug|Any CPU
+ {9B11E37E-71A8-4517-BE59-C7F0D8822139}.Release|Any CPU.ActiveCfg = Release|Any CPU
+ {9B11E37E-71A8-4517-BE59-C7F0D8822139}.Release|Any CPU.Build.0 = Release|Any CPU
+ {AEF18FB4-9BF4-4B4F-B5FE-6A71899A79CB}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
+ {AEF18FB4-9BF4-4B4F-B5FE-6A71899A79CB}.Debug|Any CPU.Build.0 = Debug|Any CPU
+ {AEF18FB4-9BF4-4B4F-B5FE-6A71899A79CB}.Release|Any CPU.ActiveCfg = Release|Any CPU
+ {AEF18FB4-9BF4-4B4F-B5FE-6A71899A79CB}.Release|Any CPU.Build.0 = Release|Any CPU
+ {08866800-538C-480D-A272-CFE8044DD966}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
+ {08866800-538C-480D-A272-CFE8044DD966}.Debug|Any CPU.Build.0 = Debug|Any CPU
+ {08866800-538C-480D-A272-CFE8044DD966}.Release|Any CPU.ActiveCfg = Release|Any CPU
+ {08866800-538C-480D-A272-CFE8044DD966}.Release|Any CPU.Build.0 = Release|Any CPU
+ {C82B72E1-7C3B-47AF-BE5E-37CCF9FC06EF}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
+ {C82B72E1-7C3B-47AF-BE5E-37CCF9FC06EF}.Debug|Any CPU.Build.0 = Debug|Any CPU
+ {C82B72E1-7C3B-47AF-BE5E-37CCF9FC06EF}.Release|Any CPU.ActiveCfg = Release|Any CPU
+ {C82B72E1-7C3B-47AF-BE5E-37CCF9FC06EF}.Release|Any CPU.Build.0 = Release|Any CPU
+ EndGlobalSection
+ GlobalSection(SolutionProperties) = preSolution
+ HideSolutionNode = FALSE
+ EndGlobalSection
+ GlobalSection(ExtensibilityGlobals) = postSolution
+ SolutionGuid = {C4BEB637-30E7-491B-908C-EC181ED94E50}
+ EndGlobalSection
+EndGlobal
diff --git a/WerteMatrix/WerteMatrix.cs b/WerteMatrix/WerteMatrix.cs
new file mode 100644
index 0000000..157a6e4
--- /dev/null
+++ b/WerteMatrix/WerteMatrix.cs
@@ -0,0 +1,28 @@
+namespace Uebung;
+
+class Program
+{
+ static void Ausgabe(int[,] f, bool mitSumme = false)
+ {
+ for (int i = 0; i < f.GetLength(0); i++)
+ {
+ for (int j = 0; j < f.GetLength(1); j++)
+ Console.Write($"{f[i, j],5}");
+ Console.WriteLine();
+ }
+ }
+
+ static void Main()
+ {
+ Console.Write("n eingeben: ");
+ int n = Convert.ToInt32(Console.ReadLine());
+
+ int[,] matrix = new int[n, n];
+
+ for (int i = 0; i < n; i++)
+ for (int j = 0; j < n; j++)
+ matrix[i, j] = j - i;
+
+ Ausgabe(matrix);
+ }
+}
\ No newline at end of file
diff --git a/WerteMatrix/WerteMatrix.csproj b/WerteMatrix/WerteMatrix.csproj
new file mode 100644
index 0000000..40c60dd
--- /dev/null
+++ b/WerteMatrix/WerteMatrix.csproj
@@ -0,0 +1,10 @@
+<Project Sdk="Microsoft.NET.Sdk">
+
+ <PropertyGroup>
+ <OutputType>Exe</OutputType>
+ <TargetFramework>net6.0</TargetFramework>
+ <ImplicitUsings>enable</ImplicitUsings>
+ <Nullable>enable</Nullable>
+ </PropertyGroup>
+
+</Project>
--
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