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Commit cf5fc376 authored by Jens Albrecht's avatar Jens Albrecht
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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)}");
}
}
<Project Sdk="Microsoft.NET.Sdk">
<PropertyGroup>
<OutputType>Exe</OutputType>
<TargetFramework>net6.0</TargetFramework>
<ImplicitUsings>enable</ImplicitUsings>
<Nullable>enable</Nullable>
</PropertyGroup>
</Project>
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);
}
}
<Project Sdk="Microsoft.NET.Sdk">
<PropertyGroup>
<OutputType>Exe</OutputType>
<TargetFramework>net6.0</TargetFramework>
<ImplicitUsings>enable</ImplicitUsings>
<Nullable>enable</Nullable>
</PropertyGroup>
</Project>
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}");
<Project Sdk="Microsoft.NET.Sdk">
<PropertyGroup>
<OutputType>Exe</OutputType>
<TargetFramework>net7.0</TargetFramework>
<ImplicitUsings>enable</ImplicitUsings>
<Nullable>enable</Nullable>
</PropertyGroup>
</Project>

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
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
<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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