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new file mode 100644
index 0000000..2a6458f
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new file mode 100644
index 0000000..0459d98
Binary files /dev/null and b/fordulo_3/Program/.vs/Program/CopilotIndices/17.13.431.34963/CodeChunks.db differ
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new file mode 100644
index 0000000..08cf2fb
Binary files /dev/null and b/fordulo_3/Program/.vs/Program/CopilotIndices/17.13.431.34963/SemanticSymbols.db differ
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index 0000000..fd59670
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new file mode 100644
index 0000000..2474a64
Binary files /dev/null and b/fordulo_3/Program/.vs/Program/FileContentIndex/c5e1a060-b5a3-4a37-83b6-4d15ff12fdfb.vsidx differ
diff --git a/fordulo_3/Program/.vs/Program/v17/.suo b/fordulo_3/Program/.vs/Program/v17/.suo
new file mode 100644
index 0000000..bd5a771
Binary files /dev/null and b/fordulo_3/Program/.vs/Program/v17/.suo differ
diff --git a/fordulo_3/Program/.vs/Program/v17/DocumentLayout.backup.json b/fordulo_3/Program/.vs/Program/v17/DocumentLayout.backup.json
new file mode 100644
index 0000000..61aac78
--- /dev/null
+++ b/fordulo_3/Program/.vs/Program/v17/DocumentLayout.backup.json
@@ -0,0 +1,54 @@
+{
+  "Version": 1,
+  "WorkspaceRootPath": "E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\",
+  "Documents": [
+    {
+      "AbsoluteMoniker": "D:0:0:{6A74A9DE-500D-46FF-859A-18F4A752D2A5}|Program.csproj|e:\\h\u00E1zi\\13.oszt\u00E1ly\\neumann_verseny\\fordulo_3\\program\\program.cs||{A6C744A8-0E4A-4FC6-886A-064283054674}",
+      "RelativeMoniker": "D:0:0:{6A74A9DE-500D-46FF-859A-18F4A752D2A5}|Program.csproj|solutionrelative:program.cs||{A6C744A8-0E4A-4FC6-886A-064283054674}"
+    },
+    {
+      "AbsoluteMoniker": "D:0:0:{6A74A9DE-500D-46FF-859A-18F4A752D2A5}|Program.csproj|e:\\h\u00E1zi\\13.oszt\u00E1ly\\neumann_verseny\\fordulo_3\\program\\sorozat.cs||{A6C744A8-0E4A-4FC6-886A-064283054674}",
+      "RelativeMoniker": "D:0:0:{6A74A9DE-500D-46FF-859A-18F4A752D2A5}|Program.csproj|solutionrelative:sorozat.cs||{A6C744A8-0E4A-4FC6-886A-064283054674}"
+    }
+  ],
+  "DocumentGroupContainers": [
+    {
+      "Orientation": 0,
+      "VerticalTabListWidth": 256,
+      "DocumentGroups": [
+        {
+          "DockedWidth": 200,
+          "SelectedChildIndex": 1,
+          "Children": [
+            {
+              "$type": "Document",
+              "DocumentIndex": 1,
+              "Title": "Sorozat.cs",
+              "DocumentMoniker": "E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\Sorozat.cs",
+              "RelativeDocumentMoniker": "Sorozat.cs",
+              "ToolTip": "E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\Sorozat.cs",
+              "RelativeToolTip": "Sorozat.cs",
+              "ViewState": "AgIAAAgAAAAAAAAAAAAxwBkAAAAcAAAAAAAAAA==",
+              "Icon": "ae27a6b0-e345-4288-96df-5eaf394ee369.000738|",
+              "WhenOpened": "2025-03-12T12:59:58.311Z",
+              "EditorCaption": ""
+            },
+            {
+              "$type": "Document",
+              "DocumentIndex": 0,
+              "Title": "Program.cs",
+              "DocumentMoniker": "E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\Program.cs",
+              "RelativeDocumentMoniker": "Program.cs",
+              "ToolTip": "E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\Program.cs",
+              "RelativeToolTip": "Program.cs",
+              "ViewState": "AgIAAAQAAAAAAAAAAAAUwCEAAABqAAAAAAAAAA==",
+              "Icon": "ae27a6b0-e345-4288-96df-5eaf394ee369.000738|",
+              "WhenOpened": "2025-03-12T12:54:16.847Z",
+              "EditorCaption": ""
+            }
+          ]
+        }
+      ]
+    }
+  ]
+}
\ No newline at end of file
diff --git a/fordulo_3/Program/.vs/Program/v17/DocumentLayout.json b/fordulo_3/Program/.vs/Program/v17/DocumentLayout.json
new file mode 100644
index 0000000..61aac78
--- /dev/null
+++ b/fordulo_3/Program/.vs/Program/v17/DocumentLayout.json
@@ -0,0 +1,54 @@
+{
+  "Version": 1,
+  "WorkspaceRootPath": "E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\",
+  "Documents": [
+    {
+      "AbsoluteMoniker": "D:0:0:{6A74A9DE-500D-46FF-859A-18F4A752D2A5}|Program.csproj|e:\\h\u00E1zi\\13.oszt\u00E1ly\\neumann_verseny\\fordulo_3\\program\\program.cs||{A6C744A8-0E4A-4FC6-886A-064283054674}",
+      "RelativeMoniker": "D:0:0:{6A74A9DE-500D-46FF-859A-18F4A752D2A5}|Program.csproj|solutionrelative:program.cs||{A6C744A8-0E4A-4FC6-886A-064283054674}"
+    },
+    {
+      "AbsoluteMoniker": "D:0:0:{6A74A9DE-500D-46FF-859A-18F4A752D2A5}|Program.csproj|e:\\h\u00E1zi\\13.oszt\u00E1ly\\neumann_verseny\\fordulo_3\\program\\sorozat.cs||{A6C744A8-0E4A-4FC6-886A-064283054674}",
+      "RelativeMoniker": "D:0:0:{6A74A9DE-500D-46FF-859A-18F4A752D2A5}|Program.csproj|solutionrelative:sorozat.cs||{A6C744A8-0E4A-4FC6-886A-064283054674}"
+    }
+  ],
+  "DocumentGroupContainers": [
+    {
+      "Orientation": 0,
+      "VerticalTabListWidth": 256,
+      "DocumentGroups": [
+        {
+          "DockedWidth": 200,
+          "SelectedChildIndex": 1,
+          "Children": [
+            {
+              "$type": "Document",
+              "DocumentIndex": 1,
+              "Title": "Sorozat.cs",
+              "DocumentMoniker": "E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\Sorozat.cs",
+              "RelativeDocumentMoniker": "Sorozat.cs",
+              "ToolTip": "E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\Sorozat.cs",
+              "RelativeToolTip": "Sorozat.cs",
+              "ViewState": "AgIAAAgAAAAAAAAAAAAxwBkAAAAcAAAAAAAAAA==",
+              "Icon": "ae27a6b0-e345-4288-96df-5eaf394ee369.000738|",
+              "WhenOpened": "2025-03-12T12:59:58.311Z",
+              "EditorCaption": ""
+            },
+            {
+              "$type": "Document",
+              "DocumentIndex": 0,
+              "Title": "Program.cs",
+              "DocumentMoniker": "E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\Program.cs",
+              "RelativeDocumentMoniker": "Program.cs",
+              "ToolTip": "E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\Program.cs",
+              "RelativeToolTip": "Program.cs",
+              "ViewState": "AgIAAAQAAAAAAAAAAAAUwCEAAABqAAAAAAAAAA==",
+              "Icon": "ae27a6b0-e345-4288-96df-5eaf394ee369.000738|",
+              "WhenOpened": "2025-03-12T12:54:16.847Z",
+              "EditorCaption": ""
+            }
+          ]
+        }
+      ]
+    }
+  ]
+}
\ No newline at end of file
diff --git a/fordulo_3/Program/App.config b/fordulo_3/Program/App.config
new file mode 100644
index 0000000..193aecc
--- /dev/null
+++ b/fordulo_3/Program/App.config
@@ -0,0 +1,6 @@
+<?xml version="1.0" encoding="utf-8" ?>
+<configuration>
+    <startup> 
+        <supportedRuntime version="v4.0" sku=".NETFramework,Version=v4.8" />
+    </startup>
+</configuration>
\ No newline at end of file
diff --git a/fordulo_3/Program/Program.cs b/fordulo_3/Program/Program.cs
new file mode 100644
index 0000000..fe5abcc
--- /dev/null
+++ b/fordulo_3/Program/Program.cs
@@ -0,0 +1,37 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace Program
+{
+    class Program
+    {
+        static void Main(string[] args)
+        {
+            Sorozat leghosszabb = new Sorozat(77031);
+            leghosszabb.TagokKiszamitasa(leghosszabb.KezdoErtek);
+
+            int max = 110000;
+            int min = 100000;
+
+            
+            for (int i = min; i < max; i++) 
+            {
+                Sorozat sorozat = new Sorozat(i);
+                sorozat.TagokKiszamitasa(sorozat.KezdoErtek);
+                if (sorozat.Tagok.Count > leghosszabb.Tagok.Count)
+                {
+                    leghosszabb = new Sorozat(sorozat);
+                }
+            }
+
+            
+            // mivel 1.000.000 számot kell megvizsgálin ezért ez a fajta megoldás nem jó
+            //Sorozat leghosszabb = sorozatok.OrderByDescending(x => x.Tagok.Count).First();
+
+            Console.WriteLine($"2. feladat megoldás: {leghosszabb.KezdoErtek}|{leghosszabb.Tagok.Count}");
+        }
+    }
+}
diff --git a/fordulo_3/Program/Program.csproj b/fordulo_3/Program/Program.csproj
new file mode 100644
index 0000000..4c5b7d0
--- /dev/null
+++ b/fordulo_3/Program/Program.csproj
@@ -0,0 +1,54 @@
+<?xml version="1.0" encoding="utf-8"?>
+<Project ToolsVersion="15.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
+  <Import Project="$(MSBuildExtensionsPath)\$(MSBuildToolsVersion)\Microsoft.Common.props" Condition="Exists('$(MSBuildExtensionsPath)\$(MSBuildToolsVersion)\Microsoft.Common.props')" />
+  <PropertyGroup>
+    <Configuration Condition=" '$(Configuration)' == '' ">Debug</Configuration>
+    <Platform Condition=" '$(Platform)' == '' ">AnyCPU</Platform>
+    <ProjectGuid>{6A74A9DE-500D-46FF-859A-18F4A752D2A5}</ProjectGuid>
+    <OutputType>Exe</OutputType>
+    <RootNamespace>Program</RootNamespace>
+    <AssemblyName>Program</AssemblyName>
+    <TargetFrameworkVersion>v4.8</TargetFrameworkVersion>
+    <FileAlignment>512</FileAlignment>
+    <AutoGenerateBindingRedirects>true</AutoGenerateBindingRedirects>
+    <Deterministic>true</Deterministic>
+  </PropertyGroup>
+  <PropertyGroup Condition=" '$(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)|$(Platform)' == 'Release|AnyCPU' ">
+    <PlatformTarget>AnyCPU</PlatformTarget>
+    <DebugType>pdbonly</DebugType>
+    <Optimize>true</Optimize>
+    <OutputPath>bin\Release\</OutputPath>
+    <DefineConstants>TRACE</DefineConstants>
+    <ErrorReport>prompt</ErrorReport>
+    <WarningLevel>4</WarningLevel>
+  </PropertyGroup>
+  <ItemGroup>
+    <Reference Include="System" />
+    <Reference Include="System.Core" />
+    <Reference Include="System.Xml.Linq" />
+    <Reference Include="System.Data.DataSetExtensions" />
+    <Reference Include="Microsoft.CSharp" />
+    <Reference Include="System.Data" />
+    <Reference Include="System.Net.Http" />
+    <Reference Include="System.Xml" />
+  </ItemGroup>
+  <ItemGroup>
+    <Compile Include="Program.cs" />
+    <Compile Include="Properties\AssemblyInfo.cs" />
+    <Compile Include="Sorozat.cs" />
+  </ItemGroup>
+  <ItemGroup>
+    <None Include="App.config" />
+  </ItemGroup>
+  <Import Project="$(MSBuildToolsPath)\Microsoft.CSharp.targets" />
+</Project>
\ No newline at end of file
diff --git a/fordulo_3/Program/Program.sln b/fordulo_3/Program/Program.sln
new file mode 100644
index 0000000..9d5e6e4
--- /dev/null
+++ b/fordulo_3/Program/Program.sln
@@ -0,0 +1,25 @@
+
+Microsoft Visual Studio Solution File, Format Version 12.00
+# Visual Studio Version 17
+VisualStudioVersion = 17.13.35818.85 d17.13
+MinimumVisualStudioVersion = 10.0.40219.1
+Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "Program", "Program.csproj", "{6A74A9DE-500D-46FF-859A-18F4A752D2A5}"
+EndProject
+Global
+	GlobalSection(SolutionConfigurationPlatforms) = preSolution
+		Debug|Any CPU = Debug|Any CPU
+		Release|Any CPU = Release|Any CPU
+	EndGlobalSection
+	GlobalSection(ProjectConfigurationPlatforms) = postSolution
+		{6A74A9DE-500D-46FF-859A-18F4A752D2A5}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
+		{6A74A9DE-500D-46FF-859A-18F4A752D2A5}.Debug|Any CPU.Build.0 = Debug|Any CPU
+		{6A74A9DE-500D-46FF-859A-18F4A752D2A5}.Release|Any CPU.ActiveCfg = Release|Any CPU
+		{6A74A9DE-500D-46FF-859A-18F4A752D2A5}.Release|Any CPU.Build.0 = Release|Any CPU
+	EndGlobalSection
+	GlobalSection(SolutionProperties) = preSolution
+		HideSolutionNode = FALSE
+	EndGlobalSection
+	GlobalSection(ExtensibilityGlobals) = postSolution
+		SolutionGuid = {66F1EDAE-14B5-40E6-A725-9281D19AFDF6}
+	EndGlobalSection
+EndGlobal
diff --git a/fordulo_3/Program/Properties/AssemblyInfo.cs b/fordulo_3/Program/Properties/AssemblyInfo.cs
new file mode 100644
index 0000000..347a03f
--- /dev/null
+++ b/fordulo_3/Program/Properties/AssemblyInfo.cs
@@ -0,0 +1,33 @@
+using System.Reflection;
+using System.Runtime.CompilerServices;
+using System.Runtime.InteropServices;
+
+// General Information about an assembly is controlled through the following
+// set of attributes. Change these attribute values to modify the information
+// associated with an assembly.
+[assembly: AssemblyTitle("Program")]
+[assembly: AssemblyDescription("")]
+[assembly: AssemblyConfiguration("")]
+[assembly: AssemblyCompany("")]
+[assembly: AssemblyProduct("Program")]
+[assembly: AssemblyCopyright("Copyright ©  2025")]
+[assembly: AssemblyTrademark("")]
+[assembly: AssemblyCulture("")]
+
+// Setting ComVisible to false makes the types in this assembly not visible
+// to COM components.  If you need to access a type in this assembly from
+// COM, set the ComVisible attribute to true on that type.
+[assembly: ComVisible(false)]
+
+// The following GUID is for the ID of the typelib if this project is exposed to COM
+[assembly: Guid("6a74a9de-500d-46ff-859a-18f4a752d2a5")]
+
+// Version information for an assembly consists of the following four values:
+//
+//      Major Version
+//      Minor Version
+//      Build Number
+//      Revision
+//
+[assembly: AssemblyVersion("1.0.0.0")]
+[assembly: AssemblyFileVersion("1.0.0.0")]
diff --git a/fordulo_3/Program/Sorozat.cs b/fordulo_3/Program/Sorozat.cs
new file mode 100644
index 0000000..2a67e94
--- /dev/null
+++ b/fordulo_3/Program/Sorozat.cs
@@ -0,0 +1,71 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace Program
+{
+    class Sorozat
+    {
+        public int KezdoErtek;
+
+        public List<int> Tagok = new List<int>();
+
+        int[] kettoHatvanyok = new int[] { 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608 };
+
+        public int TagokKiszamitasa(int ertek)
+        {
+            int ujertek;
+
+            if (kettoHatvanyok.Contains(ertek))
+            {
+                int index = 0;
+                while (kettoHatvanyok[index] != ertek)
+                {
+                    index++;
+                }
+
+                KettoHatvanyokTagokHozzaAdasa(index);
+
+                return 1;
+            }
+
+            if (ertek == 1) {
+                Tagok.Add(ertek);
+                return 1;
+            }
+
+            if (ertek % 2 == 0)
+            {
+                ujertek = ertek / 2;
+                
+            } else
+            {
+                ujertek = ertek * 3 + 1;
+            }
+
+            Tagok.Add(ertek);
+            return TagokKiszamitasa(ujertek);
+        }
+
+        public void KettoHatvanyokTagokHozzaAdasa(int index)
+        {
+            for (int i = index; i >= 0; i--)
+            {
+                Tagok.Add(kettoHatvanyok[i]);
+            }
+        }
+
+        public Sorozat(Sorozat sorozat)
+        {
+            KezdoErtek = sorozat.KezdoErtek;
+            Tagok = sorozat.Tagok;
+        }
+
+        public Sorozat(int kezdoErtek)
+        {
+            this.KezdoErtek = kezdoErtek;
+        }
+    }
+}
diff --git a/fordulo_3/Program/bin/Debug/Program.exe b/fordulo_3/Program/bin/Debug/Program.exe
new file mode 100644
index 0000000..46577b5
Binary files /dev/null and b/fordulo_3/Program/bin/Debug/Program.exe differ
diff --git a/fordulo_3/Program/bin/Debug/Program.exe.config b/fordulo_3/Program/bin/Debug/Program.exe.config
new file mode 100644
index 0000000..193aecc
--- /dev/null
+++ b/fordulo_3/Program/bin/Debug/Program.exe.config
@@ -0,0 +1,6 @@
+<?xml version="1.0" encoding="utf-8" ?>
+<configuration>
+    <startup> 
+        <supportedRuntime version="v4.0" sku=".NETFramework,Version=v4.8" />
+    </startup>
+</configuration>
\ No newline at end of file
diff --git a/fordulo_3/Program/bin/Debug/Program.pdb b/fordulo_3/Program/bin/Debug/Program.pdb
new file mode 100644
index 0000000..7fac86a
Binary files /dev/null and b/fordulo_3/Program/bin/Debug/Program.pdb differ
diff --git a/fordulo_3/Program/obj/Debug/.NETFramework,Version=v4.8.AssemblyAttributes.cs b/fordulo_3/Program/obj/Debug/.NETFramework,Version=v4.8.AssemblyAttributes.cs
new file mode 100644
index 0000000..15efebf
--- /dev/null
+++ b/fordulo_3/Program/obj/Debug/.NETFramework,Version=v4.8.AssemblyAttributes.cs
@@ -0,0 +1,4 @@
+// <autogenerated />
+using System;
+using System.Reflection;
+[assembly: global::System.Runtime.Versioning.TargetFrameworkAttribute(".NETFramework,Version=v4.8", FrameworkDisplayName = ".NET Framework 4.8")]
diff --git a/fordulo_3/Program/obj/Debug/DesignTimeResolveAssemblyReferencesInput.cache b/fordulo_3/Program/obj/Debug/DesignTimeResolveAssemblyReferencesInput.cache
new file mode 100644
index 0000000..388e3ef
Binary files /dev/null and b/fordulo_3/Program/obj/Debug/DesignTimeResolveAssemblyReferencesInput.cache differ
diff --git a/fordulo_3/Program/obj/Debug/Program.csproj.AssemblyReference.cache b/fordulo_3/Program/obj/Debug/Program.csproj.AssemblyReference.cache
new file mode 100644
index 0000000..6943b8f
Binary files /dev/null and b/fordulo_3/Program/obj/Debug/Program.csproj.AssemblyReference.cache differ
diff --git a/fordulo_3/Program/obj/Debug/Program.csproj.CoreCompileInputs.cache b/fordulo_3/Program/obj/Debug/Program.csproj.CoreCompileInputs.cache
new file mode 100644
index 0000000..174d581
--- /dev/null
+++ b/fordulo_3/Program/obj/Debug/Program.csproj.CoreCompileInputs.cache
@@ -0,0 +1 @@
+52261ac204714890afe2467c25b9765789d39c141c743f2c478f13be997c8941
diff --git a/fordulo_3/Program/obj/Debug/Program.csproj.FileListAbsolute.txt b/fordulo_3/Program/obj/Debug/Program.csproj.FileListAbsolute.txt
new file mode 100644
index 0000000..1248eb9
--- /dev/null
+++ b/fordulo_3/Program/obj/Debug/Program.csproj.FileListAbsolute.txt
@@ -0,0 +1,7 @@
+E:\Házi\13.osztály\Neumann_Verseny\fordulo_3\Program\bin\Debug\Program.exe.config
+E:\Házi\13.osztály\Neumann_Verseny\fordulo_3\Program\bin\Debug\Program.exe
+E:\Házi\13.osztály\Neumann_Verseny\fordulo_3\Program\bin\Debug\Program.pdb
+E:\Házi\13.osztály\Neumann_Verseny\fordulo_3\Program\obj\Debug\Program.csproj.AssemblyReference.cache
+E:\Házi\13.osztály\Neumann_Verseny\fordulo_3\Program\obj\Debug\Program.csproj.CoreCompileInputs.cache
+E:\Házi\13.osztály\Neumann_Verseny\fordulo_3\Program\obj\Debug\Program.exe
+E:\Házi\13.osztály\Neumann_Verseny\fordulo_3\Program\obj\Debug\Program.pdb
diff --git a/fordulo_3/Program/obj/Debug/Program.exe b/fordulo_3/Program/obj/Debug/Program.exe
new file mode 100644
index 0000000..46577b5
Binary files /dev/null and b/fordulo_3/Program/obj/Debug/Program.exe differ
diff --git a/fordulo_3/Program/obj/Debug/Program.pdb b/fordulo_3/Program/obj/Debug/Program.pdb
new file mode 100644
index 0000000..7fac86a
Binary files /dev/null and b/fordulo_3/Program/obj/Debug/Program.pdb differ
diff --git a/megoldasok.md b/megoldasok.md
index c73cc76..e33052a 100644
--- a/megoldasok.md
+++ b/megoldasok.md
@@ -30,7 +30,7 @@
 - b: `alfa`
 - c: `6`
 - d: `4`
-- e: `98`
+- e: `102`
 
 ### 3. feladat
 - a: `213`