3.2.40 Finished

Author: ikesnowy

3 Searching/3.2/3.2.40/3.2.40.csproj

@@ -0,0 +1,13 @@
+<Project Sdk="Microsoft.NET.Sdk">
+
+  <PropertyGroup>
+    <OutputType>Exe</OutputType>
+    <TargetFramework>netcoreapp3.0</TargetFramework>
+    <RootNamespace>_3._2._40</RootNamespace>
+  </PropertyGroup>
+
+  <ItemGroup>
+    <ProjectReference Include="..\BinarySearchTree\BinarySearchTree.csproj" />
+  </ItemGroup>
+
+</Project>

3 Searching/3.2/3.2.40/Program.cs

@@ -0,0 +1,60 @@
+using System;
+using BinarySearchTree;
+
+namespace _3._2._40
+{
+    class Program
+    {
+        static void Main(string[] args)
+        {
+            var n = 10000;
+            var trials = 100;
+
+            for (var i = 0; i < 3; i++)
+            {
+                var items = new int[n];
+                
+                for (var j = 0; j < n; j++)
+                {
+                    items[j] = j;
+                }
+
+                var aveHeight = 0d;
+                for (var j = 0; j < trials; j++)
+                {
+                    var bst = new BST<int, int>();
+                    Shuffle(items);
+                    foreach (var item in items)
+                    {
+                        bst.Put(item, item);
+                    }
+
+                    aveHeight += bst.Height();
+                }
+
+                aveHeight /= trials;
+                var c = 4.31107d;
+                var expectHeightLuc = c * Math.Log(n);
+                var expectHeightMichael = c * Math.Log(n) - (3 * c / (2 * (c - 1))) * Math.Log(Math.Log(n));
+                Console.WriteLine("n:" + n);
+                Console.WriteLine("Actual Height:" + aveHeight);
+                Console.WriteLine("Devroye: " + expectHeightLuc + "\tDiff: " + (float)(expectHeightLuc - aveHeight));
+                Console.WriteLine("Michael: " + expectHeightMichael + "\tDiff: " + (float)(expectHeightMichael - aveHeight));
+
+                n *= 10;
+            }
+        }
+
+        static void Shuffle<T>(T[] a)
+        {
+            var random = new Random();
+            for (var i = 0; i < a.Length; i++)
+            {
+                var r = i + random.Next(a.Length - i);
+                var temp = a[i];
+                a[i] = a[r];
+                a[r] = temp;
+            }
+        }
+    }
+}

Algorithms 4th Edition.sln

@@ -1031,7 +1031,9 @@ Project("{9A19103F-16F7-4668-BE54-9A1E7A4F7556}") = "3.2.37", "3 Searching\3.2\3
 EndProject
 Project("{9A19103F-16F7-4668-BE54-9A1E7A4F7556}") = "3.2.38", "3 Searching\3.2\3.2.38\3.2.38.csproj", "{8748C5C0-0443-4E73-A40B-B2149FC7A03F}"
 EndProject
-Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "3.2.39", "3 Searching\3.2\3.2.39\3.2.39.csproj", "{2428EF52-8CE9-48F9-95DD-707B1E5F8DF5}"
+Project("{9A19103F-16F7-4668-BE54-9A1E7A4F7556}") = "3.2.39", "3 Searching\3.2\3.2.39\3.2.39.csproj", "{2428EF52-8CE9-48F9-95DD-707B1E5F8DF5}"
+EndProject
+Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "3.2.40", "3 Searching\3.2\3.2.40\3.2.40.csproj", "{28E56928-AA66-464E-B791-A72889D4C624}"
 EndProject
 Global
 	GlobalSection(SolutionConfigurationPlatforms) = preSolution
@@ -2835,6 +2837,10 @@ Global
 		{2428EF52-8CE9-48F9-95DD-707B1E5F8DF5}.Debug|Any CPU.Build.0 = Debug|Any CPU
 		{2428EF52-8CE9-48F9-95DD-707B1E5F8DF5}.Release|Any CPU.ActiveCfg = Release|Any CPU
 		{2428EF52-8CE9-48F9-95DD-707B1E5F8DF5}.Release|Any CPU.Build.0 = Release|Any CPU
+		{28E56928-AA66-464E-B791-A72889D4C624}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
+		{28E56928-AA66-464E-B791-A72889D4C624}.Debug|Any CPU.Build.0 = Debug|Any CPU
+		{28E56928-AA66-464E-B791-A72889D4C624}.Release|Any CPU.ActiveCfg = Release|Any CPU
+		{28E56928-AA66-464E-B791-A72889D4C624}.Release|Any CPU.Build.0 = Release|Any CPU
 	EndGlobalSection
 	GlobalSection(SolutionProperties) = preSolution
 		HideSolutionNode = FALSE
@@ -3347,6 +3353,7 @@ Global
 		{919A1928-E309-4F31-97C5-AAEAE7F9E546} = {136F3860-08E9-4C37-BC04-679085D442B4}
 		{8748C5C0-0443-4E73-A40B-B2149FC7A03F} = {136F3860-08E9-4C37-BC04-679085D442B4}
 		{2428EF52-8CE9-48F9-95DD-707B1E5F8DF5} = {69512490-D514-490D-9088-D514FC5C770A}
+		{28E56928-AA66-464E-B791-A72889D4C624} = {69512490-D514-490D-9088-D514FC5C770A}
 	EndGlobalSection
 	GlobalSection(ExtensibilityGlobals) = postSolution
 		SolutionGuid = {EE55CF8D-6F35-464D-B95B-ED85644AE41C}