initial commit

.gitignore

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+## Ignore Visual Studio temporary files, build results, and
+## files generated by popular Visual Studio add-ons.
+
+# User-specific files
+*.suo
+*.user
+*.userosscache
+*.sln.docstates
+
+# User-specific files (MonoDevelop/Xamarin Studio)
+*.userprefs
+
+# Build results
+[Dd]ebug/
+[Dd]ebugPublic/
+[Rr]elease/
+[Rr]eleases/
+x64/
+x86/
+build/
+bld/
+[Bb]in/
+[Oo]bj/
+
+# Visual Studio 2015 cache/options directory
+.vs/
+# Uncomment if you have tasks that create the project's static files in wwwroot
+#wwwroot/
+
+# MSTest test Results
+[Tt]est[Rr]esult*/
+[Bb]uild[Ll]og.*
+
+# NUNIT
+*.VisualState.xml
+TestResult.xml
+
+# Documentation files
+*.Documentation.xml
+
+# Coverage
+lcov.info
+coverage.cobertura.xml
+
+# Build Results of an ATL Project
+[Dd]ebugPS/
+[Rr]eleasePS/
+dlldata.c
+
+# DNX
+project.lock.json
+artifacts/
+
+*_i.c
+*_p.c
+*_i.h
+*.ilk
+*.meta
+*.obj
+*.pch
+*.pdb
+*.pgc
+*.pgd
+*.rsp
+*.sbr
+*.tlb
+*.tli
+*.tlh
+*.tmp
+*.tmp_proj
+*.log
+*.vspscc
+*.vssscc
+.builds
+*.pidb
+*.svclog
+*.scc
+
+# Chutzpah Test files
+_Chutzpah*
+
+# Visual C++ cache files
+ipch/
+*.aps
+*.ncb
+*.opendb
+*.opensdf
+*.sdf
+*.cachefile
+
+# Visual Studio profiler
+*.psess
+*.vsp
+*.vspx
+*.sap
+
+# TFS 2012 Local Workspace
+$tf/
+
+# Guidance Automation Toolkit
+*.gpState
+
+# ReSharper is a .NET coding add-in
+_ReSharper*/
+*.[Rr]e[Ss]harper
+*.DotSettings.user
+
+# JustCode is a .NET coding add-in
+.JustCode
+
+# TeamCity is a build add-in
+_TeamCity*
+
+# DotCover is a Code Coverage Tool
+*.dotCover
+
+# NCrunch
+_NCrunch_*
+.*crunch*.local.xml
+nCrunchTemp_*
+
+# MightyMoose
+*.mm.*
+AutoTest.Net/
+
+# Web workbench (sass)
+.sass-cache/
+
+# Installshield output folder
+[Ee]xpress/
+
+# DocProject is a documentation generator add-in
+DocProject/buildhelp/
+DocProject/Help/*.HxT
+DocProject/Help/*.HxC
+DocProject/Help/*.hhc
+DocProject/Help/*.hhk
+DocProject/Help/*.hhp
+DocProject/Help/Html2
+DocProject/Help/html
+
+# Click-Once directory
+publish/
+
+# Publish Web Output
+*.[Pp]ublish.xml
+*.azurePubxml
+# TODO: Comment the next line if you want to checkin your web deploy settings
+# but database connection strings (with potential passwords) will be unencrypted
+*.pubxml
+*.publishproj
+
+# NuGet Packages
+*.nupkg
+*.snupkg
+# The packages folder can be ignored because of Package Restore
+**/packages/*
+# except build/, which is used as an MSBuild target.
+!**/packages/build/
+# Uncomment if necessary however generally it will be regenerated when needed
+#!**/packages/repositories.config
+
+# Microsoft Azure Build Output
+csx/
+*.build.csdef
+
+# Microsoft Azure Emulator
+ecf/
+rcf/
+
+# Microsoft Azure ApplicationInsights config file
+ApplicationInsights.config
+
+# Windows Store app package directory
+AppPackages/
+BundleArtifacts/
+
+# Visual Studio cache files
+# files ending in .cache can be ignored
+*.[Cc]ache
+# but keep track of directories ending in .cache
+!*.[Cc]ache/
+
+# Others
+ClientBin/
+~$*
+*~
+*.dbmdl
+*.dbproj.schemaview
+*.pfx
+*.publishsettings
+node_modules/
+orleans.codegen.cs
+
+# RIA/Silverlight projects
+Generated_Code/
+
+# Backup & report files from converting an old project file
+# to a newer Visual Studio version. Backup files are not needed,
+# because we have git ;-)
+_UpgradeReport_Files/
+Backup*/
+UpgradeLog*.XML
+UpgradeLog*.htm
+
+# SQL Server files
+*.mdf
+*.ldf
+
+# Business Intelligence projects
+*.rdl.data
+*.bim.layout
+*.bim_*.settings
+
+# Microsoft Fakes
+FakesAssemblies/
+
+# GhostDoc plugin setting file
+*.GhostDoc.xml
+
+# Node.js Tools for Visual Studio
+.ntvs_analysis.dat
+
+# Visual Studio 6 build log
+*.plg
+
+# Visual Studio 6 workspace options file
+*.opt
+
+# Visual Studio LightSwitch build output
+**/*.HTMLClient/GeneratedArtifacts
+**/*.DesktopClient/GeneratedArtifacts
+**/*.DesktopClient/ModelManifest.xml
+**/*.Server/GeneratedArtifacts
+**/*.Server/ModelManifest.xml
+_Pvt_Extensions
+
+# Paket dependency manager
+.paket/paket.exe
+
+# FAKE - F# Make
+.fake/
+
+#Solver output file
+output.txt
+multipleSolutions.txt

PtVzzlexMasCake.Tests/DijkstraSolver.cs

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+using System.Numerics;
+
+namespace PtVzzlexMasCake.Tests
+{
+    public static class DijkstraSolver
+    {
+        /// <summary>
+        /// compute the shortest path from Pow(2, <paramref name="baseTwoExponent"/>) to 1
+        /// using the allowed operations [+1,-1,/2]
+        /// </summary>
+        /// <param name="baseTwoExponent">exponent of the base two power representing the maximum value</param>
+        internal static IEnumerable<Node> SolveFull(int baseTwoExponent)
+        {
+            BigInteger maxValue = new BigInteger(1 << baseTwoExponent);
+            var extracted = new HashSet<Node>();
+            var costs = new Dictionary<BigInteger, int>();
+            var queue = new PriorityQueue<Node, int>();
+            var root = new Node(0, 1, new List<Operation>());
+            queue.Enqueue(root, root.Cost);
+            costs[root.Value] = 0;
+            while (queue.TryDequeue(out var current, out _))
+            {
+                if (extracted.Add(current))
+                {
+                    foreach (Node node in current.Star())
+                    {
+                        if ((!costs.TryGetValue(node.Value, out var prevCost) ||
+                            node.Cost < prevCost) && node.Value <= maxValue)
+                        {
+                            costs[node.Value] = node.Cost;
+                            queue.Enqueue(node, node.Cost);
+                        }
+                    }
+                }
+            }
+            return extracted;
+        }
+    }
+}

PtVzzlexMasCake.Tests/Node.cs

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+using System.Numerics;
+
+namespace PtVzzlexMasCake.Tests
+{
+    internal class Node : IEquatable<Node?>
+    {
+        public int Cost { get; }
+        public BigInteger Value { get; }
+        public List<Operation> Operations { get; }
+
+        public Node(int cost, BigInteger value, List<Operation> operations)
+        {
+            Cost = cost;
+            Value = value;
+            Operations = operations;
+        }
+
+        internal IEnumerable<Node> Star()
+        {
+            var divideByTwo = new List<Operation>(Operations);
+            divideByTwo.Add(Operation.Halve);
+            yield return new Node(Cost + 1, Value * 2, divideByTwo);
+
+            if (Value > 1)
+            {
+                var addOne = new List<Operation>(Operations);
+                addOne.Add(Operation.AddOne);
+                yield return new Node(Cost + 1, Value - 1, addOne);
+            }
+
+            var subtractOne = new List<Operation>(Operations);
+            subtractOne.Add(Operation.SubtractOne);
+            yield return new Node(Cost + 1, Value + 1, subtractOne);
+        }
+
+        public override bool Equals(object? obj)
+        {
+            return Equals(obj as Node);
+        }
+
+        public bool Equals(Node? other)
+        {
+            return other != null &&
+                   Value.Equals(other.Value);
+        }
+
+        public override int GetHashCode()
+        {
+            return HashCode.Combine(Value);
+        }
+    }
+}

PtVzzlexMasCake.Tests/Operator.cs

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+using System.Numerics;
+
+namespace PtVzzlexMasCake.Tests
+{
+    internal static class Operator
+    {
+        public static BigInteger Execute(Operation operation, BigInteger value)
+        {
+            switch (operation)
+            {
+                case Operation.Halve:
+                    return value / 2;
+                case Operation.AddOne:
+                    return value +1;
+                case Operation.SubtractOne:
+                    return value -1;
+                default:
+                    return value;
+            }
+        }
+    }
+}

PtVzzlexMasCake.Tests/PtVzzlexMasCake.Tests.csproj

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+<Project Sdk="Microsoft.NET.Sdk">
+
+	<PropertyGroup>
+		<TargetFramework>net6.0</TargetFramework>
+		<ImplicitUsings>enable</ImplicitUsings>
+		<Nullable>enable</Nullable>
+	</PropertyGroup>
+
+	<ItemGroup>
+		<PackageReference Include="MSTest.TestAdapter" Version="2.2.8" />
+		<PackageReference Include="MSTest.TestFramework" Version="2.2.8" />
+		<PackageReference Include="Microsoft.NET.Test.Sdk" Version="17.0.0" />
+	</ItemGroup>
+
+	<ItemGroup>
+	  <ProjectReference Include="..\PtVzzlexMasCake\PtVzzlexMasCake.csproj" />
+	</ItemGroup>
+
+	<ItemGroup>
+	  <None Update="Resources\*.txt">
+	    <CopyToOutputDirectory>PreserveNewest</CopyToOutputDirectory>
+	  </None>
+	</ItemGroup>
+
+</Project>