diff --git a/algorithms/08-rb-trees/2024-01-22-avl.md b/algorithms/08-rb-trees/2024-01-22-avl.md new file mode 100644 index 0000000..f493b6e --- /dev/null +++ b/algorithms/08-rb-trees/2024-01-22-avl.md @@ -0,0 +1,66 @@ +--- +id: avl +title: AVL tree +description: | + Looking at a tree that's very similar to the red-black tree. +tags: + - AVL tree + - balanced trees + - zig +last_update: + date: 2024-01-22 +--- + +## Introduction + +AVL tree is the first self-balanced tree to be ever invented. However if we look +at the commonly used data structures to represent the set or a map, we will find +out that red-black trees (or even its relaxation LLRB[^1]) or hash tables are +the most used. + +Let's look into the AVL tree and how it is related to its “successor” red-black +tree, they are closer than you can imagine. + +## Properties + +AVL tree is height-balanced same as the red-black tree. The key difference lies +in the invariants that need to be satisfied. In this case we require that +subtrees of any node differ in their heights at most by 1. If we were to write +it as a condition for node $n$, we can write it like: + +$$ +\vert Height(Right(n)) - Height(Left(n)) \vert \leq 1 +$$ + +Because the only allowed values here are $\left\{ -1, 0, 1 \right\}$, it is +possible to simplify the structure of the nodes in memory by using a one byte of +memory to store the “state” of the subtrees in a node. + +:::tip + +Some representations use a _sign_ notation of `+`, `0` and `-` which represent +where is the tree leaning to: + +- `-` means the left subtree has bigger height ⇒ tree is leaning to left +- `0` means both subtrees have the same height ⇒ they're equal +- `+` means the right subtree has bigger height ⇒ tree is leaning to right + +::: + +It is also possible to find representations that allow leaning only to one side, +by enforcing this requirement you can use just boolean to represent the state, +i.e. the tree _is_ leaning to one side, or _is not_. + +## Implementation + +Let's have a look at the implementation of the AVL tree in some language. + +## Insertion + +## Deletion + +## Comparison with the red-black tree + +## Bonus: Implementation of the BST in Java + +[^1]: [Left-leaning Red-Black trees](https://sedgewick.io/wp-content/themes/sedgewick/papers/2008LLRB.pdf) diff --git a/static/files/algorithms/rb-trees/avl/.editorconfig b/static/files/algorithms/rb-trees/avl/.editorconfig new file mode 100644 index 0000000..97a3e3f --- /dev/null +++ b/static/files/algorithms/rb-trees/avl/.editorconfig @@ -0,0 +1,363 @@ +root = true + +# All files +[*] +indent_style = space + +# Xml files +[*.xml] +indent_size = 2 + +# C# files +[*.cs] + +#### Core EditorConfig Options #### + +# Indentation and spacing +indent_size = 4 +tab_width = 4 + +# New line preferences +end_of_line = crlf +insert_final_newline = false + +#### .NET Coding Conventions #### +[*.{cs,vb}] + +# Organize usings +dotnet_separate_import_directive_groups = true +dotnet_sort_system_directives_first = true +file_header_template = unset + +# this. and Me. preferences +dotnet_style_qualification_for_event = false:silent +dotnet_style_qualification_for_field = false:silent +dotnet_style_qualification_for_method = false:silent +dotnet_style_qualification_for_property = false:silent + +# Language keywords vs BCL types preferences +dotnet_style_predefined_type_for_locals_parameters_members = true:silent +dotnet_style_predefined_type_for_member_access = true:silent + +# Parentheses preferences +dotnet_style_parentheses_in_arithmetic_binary_operators = always_for_clarity:silent +dotnet_style_parentheses_in_other_binary_operators = always_for_clarity:silent +dotnet_style_parentheses_in_other_operators = never_if_unnecessary:silent +dotnet_style_parentheses_in_relational_binary_operators = always_for_clarity:silent + +# Modifier preferences +dotnet_style_require_accessibility_modifiers = for_non_interface_members:silent + +# Expression-level preferences +dotnet_style_coalesce_expression = true:suggestion +dotnet_style_collection_initializer = true:suggestion +dotnet_style_explicit_tuple_names = true:suggestion +dotnet_style_null_propagation = true:suggestion +dotnet_style_object_initializer = true:suggestion +dotnet_style_operator_placement_when_wrapping = beginning_of_line +dotnet_style_prefer_auto_properties = true:suggestion +dotnet_style_prefer_compound_assignment = true:suggestion +dotnet_style_prefer_conditional_expression_over_assignment = true:suggestion +dotnet_style_prefer_conditional_expression_over_return = true:suggestion +dotnet_style_prefer_inferred_anonymous_type_member_names = true:suggestion +dotnet_style_prefer_inferred_tuple_names = true:suggestion +dotnet_style_prefer_is_null_check_over_reference_equality_method = true:suggestion +dotnet_style_prefer_simplified_boolean_expressions = true:suggestion +dotnet_style_prefer_simplified_interpolation = true:suggestion + +# Field preferences +dotnet_style_readonly_field = true:warning + +# Parameter preferences +dotnet_code_quality_unused_parameters = all:suggestion + +# Suppression preferences +dotnet_remove_unnecessary_suppression_exclusions = none + +#### C# Coding Conventions #### +[*.cs] + +# var preferences +csharp_style_var_elsewhere = false:silent +csharp_style_var_for_built_in_types = false:silent +csharp_style_var_when_type_is_apparent = false:silent + +# Expression-bodied members +csharp_style_expression_bodied_accessors = true:silent +csharp_style_expression_bodied_constructors = false:silent +csharp_style_expression_bodied_indexers = true:silent +csharp_style_expression_bodied_lambdas = true:suggestion +csharp_style_expression_bodied_local_functions = false:silent +csharp_style_expression_bodied_methods = false:silent +csharp_style_expression_bodied_operators = false:silent +csharp_style_expression_bodied_properties = true:silent + +# Pattern matching preferences +csharp_style_pattern_matching_over_as_with_null_check = true:suggestion +csharp_style_pattern_matching_over_is_with_cast_check = true:suggestion +csharp_style_prefer_not_pattern = true:suggestion +csharp_style_prefer_pattern_matching = true:silent +csharp_style_prefer_switch_expression = true:suggestion + +# Null-checking preferences +csharp_style_conditional_delegate_call = true:suggestion + +# Modifier preferences +csharp_prefer_static_local_function = true:warning +csharp_preferred_modifier_order = public,private,protected,internal,static,extern,new,virtual,abstract,sealed,override,readonly,unsafe,volatile,async:silent + +# Code-block preferences +csharp_prefer_braces = true:silent +csharp_prefer_simple_using_statement = true:suggestion + +# Expression-level preferences +csharp_prefer_simple_default_expression = true:suggestion +csharp_style_deconstructed_variable_declaration = true:suggestion +csharp_style_inlined_variable_declaration = true:suggestion +csharp_style_pattern_local_over_anonymous_function = true:suggestion +csharp_style_prefer_index_operator = true:suggestion +csharp_style_prefer_range_operator = true:suggestion +csharp_style_throw_expression = true:suggestion +csharp_style_unused_value_assignment_preference = discard_variable:suggestion +csharp_style_unused_value_expression_statement_preference = discard_variable:silent + +# 'using' directive preferences +csharp_using_directive_placement = outside_namespace:silent + +#### C# Formatting Rules #### + +# New line preferences +csharp_new_line_before_catch = false +csharp_new_line_before_else = false +csharp_new_line_before_finally = false +csharp_new_line_before_members_in_anonymous_types = false +csharp_new_line_before_members_in_object_initializers = false +csharp_new_line_before_open_brace = false +csharp_new_line_between_query_expression_clauses = true + +# Indentation preferences +csharp_indent_block_contents = true +csharp_indent_braces = false +csharp_indent_case_contents = true +csharp_indent_case_contents_when_block = true +csharp_indent_labels = one_less_than_current +csharp_indent_switch_labels = true + +# Space preferences +csharp_space_after_cast = false +csharp_space_after_colon_in_inheritance_clause = true +csharp_space_after_comma = true +csharp_space_after_dot = false +csharp_space_after_keywords_in_control_flow_statements = true +csharp_space_after_semicolon_in_for_statement = true +csharp_space_around_binary_operators = before_and_after +csharp_space_around_declaration_statements = false +csharp_space_before_colon_in_inheritance_clause = true +csharp_space_before_comma = false +csharp_space_before_dot = false +csharp_space_before_open_square_brackets = false +csharp_space_before_semicolon_in_for_statement = false +csharp_space_between_empty_square_brackets = false +csharp_space_between_method_call_empty_parameter_list_parentheses = false +csharp_space_between_method_call_name_and_opening_parenthesis = false +csharp_space_between_method_call_parameter_list_parentheses = false +csharp_space_between_method_declaration_empty_parameter_list_parentheses = false +csharp_space_between_method_declaration_name_and_open_parenthesis = false +csharp_space_between_method_declaration_parameter_list_parentheses = false +csharp_space_between_parentheses = false +csharp_space_between_square_brackets = false + +# Wrapping preferences +csharp_preserve_single_line_blocks = true +csharp_preserve_single_line_statements = true + +#### Naming styles #### +[*.{cs,vb}] + +# Naming rules + +dotnet_naming_rule.types_and_namespaces_should_be_pascalcase.severity = suggestion +dotnet_naming_rule.types_and_namespaces_should_be_pascalcase.symbols = types_and_namespaces +dotnet_naming_rule.types_and_namespaces_should_be_pascalcase.style = pascalcase + +dotnet_naming_rule.interfaces_should_be_ipascalcase.severity = suggestion +dotnet_naming_rule.interfaces_should_be_ipascalcase.symbols = interfaces +dotnet_naming_rule.interfaces_should_be_ipascalcase.style = ipascalcase + +dotnet_naming_rule.type_parameters_should_be_tpascalcase.severity = suggestion +dotnet_naming_rule.type_parameters_should_be_tpascalcase.symbols = type_parameters +dotnet_naming_rule.type_parameters_should_be_tpascalcase.style = tpascalcase + +dotnet_naming_rule.methods_should_be_pascalcase.severity = suggestion +dotnet_naming_rule.methods_should_be_pascalcase.symbols = methods +dotnet_naming_rule.methods_should_be_pascalcase.style = pascalcase + +dotnet_naming_rule.properties_should_be_pascalcase.severity = suggestion +dotnet_naming_rule.properties_should_be_pascalcase.symbols = properties +dotnet_naming_rule.properties_should_be_pascalcase.style = pascalcase + +dotnet_naming_rule.events_should_be_pascalcase.severity = suggestion +dotnet_naming_rule.events_should_be_pascalcase.symbols = events +dotnet_naming_rule.events_should_be_pascalcase.style = pascalcase + +dotnet_naming_rule.local_variables_should_be_camelcase.severity = suggestion +dotnet_naming_rule.local_variables_should_be_camelcase.symbols = local_variables +dotnet_naming_rule.local_variables_should_be_camelcase.style = camelcase + +dotnet_naming_rule.local_constants_should_be_camelcase.severity = suggestion +dotnet_naming_rule.local_constants_should_be_camelcase.symbols = local_constants +dotnet_naming_rule.local_constants_should_be_camelcase.style = camelcase + +dotnet_naming_rule.parameters_should_be_camelcase.severity = suggestion +dotnet_naming_rule.parameters_should_be_camelcase.symbols = parameters +dotnet_naming_rule.parameters_should_be_camelcase.style = camelcase + +dotnet_naming_rule.public_fields_should_be_pascalcase.severity = suggestion +dotnet_naming_rule.public_fields_should_be_pascalcase.symbols = public_fields +dotnet_naming_rule.public_fields_should_be_pascalcase.style = pascalcase + +dotnet_naming_rule.private_fields_should_be__camelcase.severity = suggestion +dotnet_naming_rule.private_fields_should_be__camelcase.symbols = private_fields +dotnet_naming_rule.private_fields_should_be__camelcase.style = _camelcase + +dotnet_naming_rule.private_static_fields_should_be_s_camelcase.severity = suggestion +dotnet_naming_rule.private_static_fields_should_be_s_camelcase.symbols = private_static_fields +dotnet_naming_rule.private_static_fields_should_be_s_camelcase.style = s_camelcase + +dotnet_naming_rule.public_constant_fields_should_be_pascalcase.severity = suggestion +dotnet_naming_rule.public_constant_fields_should_be_pascalcase.symbols = public_constant_fields +dotnet_naming_rule.public_constant_fields_should_be_pascalcase.style = pascalcase + +dotnet_naming_rule.private_constant_fields_should_be_pascalcase.severity = suggestion +dotnet_naming_rule.private_constant_fields_should_be_pascalcase.symbols = private_constant_fields +dotnet_naming_rule.private_constant_fields_should_be_pascalcase.style = pascalcase + +dotnet_naming_rule.public_static_readonly_fields_should_be_pascalcase.severity = suggestion +dotnet_naming_rule.public_static_readonly_fields_should_be_pascalcase.symbols = public_static_readonly_fields +dotnet_naming_rule.public_static_readonly_fields_should_be_pascalcase.style = pascalcase + +dotnet_naming_rule.private_static_readonly_fields_should_be_pascalcase.severity = suggestion +dotnet_naming_rule.private_static_readonly_fields_should_be_pascalcase.symbols = private_static_readonly_fields +dotnet_naming_rule.private_static_readonly_fields_should_be_pascalcase.style = pascalcase + +dotnet_naming_rule.enums_should_be_pascalcase.severity = suggestion +dotnet_naming_rule.enums_should_be_pascalcase.symbols = enums +dotnet_naming_rule.enums_should_be_pascalcase.style = pascalcase + +dotnet_naming_rule.local_functions_should_be_pascalcase.severity = suggestion +dotnet_naming_rule.local_functions_should_be_pascalcase.symbols = local_functions +dotnet_naming_rule.local_functions_should_be_pascalcase.style = pascalcase + +dotnet_naming_rule.non_field_members_should_be_pascalcase.severity = suggestion +dotnet_naming_rule.non_field_members_should_be_pascalcase.symbols = non_field_members +dotnet_naming_rule.non_field_members_should_be_pascalcase.style = pascalcase + +# Symbol specifications + +dotnet_naming_symbols.interfaces.applicable_kinds = interface +dotnet_naming_symbols.interfaces.applicable_accessibilities = public, internal, private, protected, protected_internal, private_protected +dotnet_naming_symbols.interfaces.required_modifiers = + +dotnet_naming_symbols.enums.applicable_kinds = enum +dotnet_naming_symbols.enums.applicable_accessibilities = public, internal, private, protected, protected_internal, private_protected +dotnet_naming_symbols.enums.required_modifiers = + +dotnet_naming_symbols.events.applicable_kinds = event +dotnet_naming_symbols.events.applicable_accessibilities = public, internal, private, protected, protected_internal, private_protected +dotnet_naming_symbols.events.required_modifiers = + +dotnet_naming_symbols.methods.applicable_kinds = method +dotnet_naming_symbols.methods.applicable_accessibilities = public, internal, private, protected, protected_internal, private_protected +dotnet_naming_symbols.methods.required_modifiers = + +dotnet_naming_symbols.properties.applicable_kinds = property +dotnet_naming_symbols.properties.applicable_accessibilities = public, internal, private, protected, protected_internal, private_protected +dotnet_naming_symbols.properties.required_modifiers = + +dotnet_naming_symbols.public_fields.applicable_kinds = field +dotnet_naming_symbols.public_fields.applicable_accessibilities = public, internal +dotnet_naming_symbols.public_fields.required_modifiers = + +dotnet_naming_symbols.private_fields.applicable_kinds = field +dotnet_naming_symbols.private_fields.applicable_accessibilities = private, protected, protected_internal, private_protected +dotnet_naming_symbols.private_fields.required_modifiers = + +dotnet_naming_symbols.private_static_fields.applicable_kinds = field +dotnet_naming_symbols.private_static_fields.applicable_accessibilities = private, protected, protected_internal, private_protected +dotnet_naming_symbols.private_static_fields.required_modifiers = static + +dotnet_naming_symbols.types_and_namespaces.applicable_kinds = namespace, class, struct, interface, enum +dotnet_naming_symbols.types_and_namespaces.applicable_accessibilities = public, internal, private, protected, protected_internal, private_protected +dotnet_naming_symbols.types_and_namespaces.required_modifiers = + +dotnet_naming_symbols.non_field_members.applicable_kinds = property, event, method +dotnet_naming_symbols.non_field_members.applicable_accessibilities = public, internal, private, protected, protected_internal, private_protected +dotnet_naming_symbols.non_field_members.required_modifiers = + +dotnet_naming_symbols.type_parameters.applicable_kinds = namespace +dotnet_naming_symbols.type_parameters.applicable_accessibilities = * +dotnet_naming_symbols.type_parameters.required_modifiers = + +dotnet_naming_symbols.private_constant_fields.applicable_kinds = field +dotnet_naming_symbols.private_constant_fields.applicable_accessibilities = private, protected, protected_internal, private_protected +dotnet_naming_symbols.private_constant_fields.required_modifiers = const + +dotnet_naming_symbols.local_variables.applicable_kinds = local +dotnet_naming_symbols.local_variables.applicable_accessibilities = local +dotnet_naming_symbols.local_variables.required_modifiers = + +dotnet_naming_symbols.local_constants.applicable_kinds = local +dotnet_naming_symbols.local_constants.applicable_accessibilities = local +dotnet_naming_symbols.local_constants.required_modifiers = const + +dotnet_naming_symbols.parameters.applicable_kinds = parameter +dotnet_naming_symbols.parameters.applicable_accessibilities = * +dotnet_naming_symbols.parameters.required_modifiers = + +dotnet_naming_symbols.public_constant_fields.applicable_kinds = field +dotnet_naming_symbols.public_constant_fields.applicable_accessibilities = public, internal +dotnet_naming_symbols.public_constant_fields.required_modifiers = const + +dotnet_naming_symbols.public_static_readonly_fields.applicable_kinds = field +dotnet_naming_symbols.public_static_readonly_fields.applicable_accessibilities = public, internal +dotnet_naming_symbols.public_static_readonly_fields.required_modifiers = readonly, static + +dotnet_naming_symbols.private_static_readonly_fields.applicable_kinds = field +dotnet_naming_symbols.private_static_readonly_fields.applicable_accessibilities = private, protected, protected_internal, private_protected +dotnet_naming_symbols.private_static_readonly_fields.required_modifiers = readonly, static + +dotnet_naming_symbols.local_functions.applicable_kinds = local_function +dotnet_naming_symbols.local_functions.applicable_accessibilities = * +dotnet_naming_symbols.local_functions.required_modifiers = + +# Naming styles + +dotnet_naming_style.pascalcase.required_prefix = +dotnet_naming_style.pascalcase.required_suffix = +dotnet_naming_style.pascalcase.word_separator = +dotnet_naming_style.pascalcase.capitalization = pascal_case + +dotnet_naming_style.ipascalcase.required_prefix = I +dotnet_naming_style.ipascalcase.required_suffix = +dotnet_naming_style.ipascalcase.word_separator = +dotnet_naming_style.ipascalcase.capitalization = pascal_case + +dotnet_naming_style.tpascalcase.required_prefix = T +dotnet_naming_style.tpascalcase.required_suffix = +dotnet_naming_style.tpascalcase.word_separator = +dotnet_naming_style.tpascalcase.capitalization = pascal_case + +dotnet_naming_style._camelcase.required_prefix = _ +dotnet_naming_style._camelcase.required_suffix = +dotnet_naming_style._camelcase.word_separator = +dotnet_naming_style._camelcase.capitalization = camel_case + +dotnet_naming_style.camelcase.required_prefix = +dotnet_naming_style.camelcase.required_suffix = +dotnet_naming_style.camelcase.word_separator = +dotnet_naming_style.camelcase.capitalization = camel_case + +dotnet_naming_style.s_camelcase.required_prefix = s_ +dotnet_naming_style.s_camelcase.required_suffix = +dotnet_naming_style.s_camelcase.word_separator = +dotnet_naming_style.s_camelcase.capitalization = camel_case diff --git a/static/files/algorithms/rb-trees/avl/.gitignore b/static/files/algorithms/rb-trees/avl/.gitignore new file mode 100644 index 0000000..104b544 --- /dev/null +++ b/static/files/algorithms/rb-trees/avl/.gitignore @@ -0,0 +1,484 @@ +## Ignore Visual Studio temporary files, build results, and +## files generated by popular Visual Studio add-ons. +## +## Get latest from `dotnet new gitignore` + +# dotenv files +.env + +# User-specific files +*.rsuser +*.suo +*.user +*.userosscache +*.sln.docstates + +# User-specific files (MonoDevelop/Xamarin Studio) +*.userprefs + +# Mono auto generated files +mono_crash.* + +# Build results +[Dd]ebug/ +[Dd]ebugPublic/ +[Rr]elease/ +[Rr]eleases/ +x64/ +x86/ +[Ww][Ii][Nn]32/ +[Aa][Rr][Mm]/ +[Aa][Rr][Mm]64/ +bld/ +[Bb]in/ +[Oo]bj/ +[Ll]og/ +[Ll]ogs/ + +# Visual Studio 2015/2017 cache/options directory +.vs/ +# Uncomment if you have tasks that create the project's static files in wwwroot +#wwwroot/ + +# Visual Studio 2017 auto generated files +Generated\ Files/ + +# MSTest test Results +[Tt]est[Rr]esult*/ +[Bb]uild[Ll]og.* + +# NUnit +*.VisualState.xml +TestResult.xml +nunit-*.xml + +# Build Results of an ATL Project +[Dd]ebugPS/ +[Rr]eleasePS/ +dlldata.c + +# Benchmark Results +BenchmarkDotNet.Artifacts/ + +# .NET +project.lock.json +project.fragment.lock.json +artifacts/ + +# Tye +.tye/ + +# ASP.NET Scaffolding +ScaffoldingReadMe.txt + +# StyleCop +StyleCopReport.xml + +# Files built by Visual Studio +*_i.c +*_p.c +*_h.h +*.ilk +*.meta +*.obj +*.iobj +*.pch +*.pdb +*.ipdb +*.pgc +*.pgd +*.rsp +*.sbr +*.tlb +*.tli +*.tlh +*.tmp +*.tmp_proj +*_wpftmp.csproj +*.log +*.tlog +*.vspscc +*.vssscc +.builds +*.pidb +*.svclog +*.scc + +# Chutzpah Test files +_Chutzpah* + +# Visual C++ cache files +ipch/ +*.aps +*.ncb +*.opendb +*.opensdf +*.sdf +*.cachefile +*.VC.db +*.VC.VC.opendb + +# Visual Studio profiler +*.psess +*.vsp +*.vspx +*.sap + +# Visual Studio Trace Files +*.e2e + +# TFS 2012 Local Workspace +$tf/ + +# Guidance Automation Toolkit +*.gpState + +# ReSharper is a .NET coding add-in +_ReSharper*/ +*.[Rr]e[Ss]harper +*.DotSettings.user + +# TeamCity is a build add-in +_TeamCity* + +# DotCover is a Code Coverage Tool +*.dotCover + +# AxoCover is a Code Coverage Tool +.axoCover/* +!.axoCover/settings.json + +# Coverlet is a free, cross platform Code Coverage Tool +coverage*.json +coverage*.xml +coverage*.info + +# Visual Studio code coverage results +*.coverage +*.coveragexml + +# 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 +# Note: 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 + +# Microsoft Azure Web App publish settings. Comment the next line if you want to +# checkin your Azure Web App publish settings, but sensitive information contained +# in these scripts will be unencrypted +PublishScripts/ + +# NuGet Packages +*.nupkg +# NuGet Symbol Packages +*.snupkg +# The packages folder can be ignored because of Package Restore +**/[Pp]ackages/* +# except build/, which is used as an MSBuild target. +!**/[Pp]ackages/build/ +# Uncomment if necessary however generally it will be regenerated when needed +#!**/[Pp]ackages/repositories.config +# NuGet v3's project.json files produces more ignorable files +*.nuget.props +*.nuget.targets + +# Microsoft Azure Build Output +csx/ +*.build.csdef + +# Microsoft Azure Emulator +ecf/ +rcf/ + +# Windows Store app package directories and files +AppPackages/ +BundleArtifacts/ +Package.StoreAssociation.xml +_pkginfo.txt +*.appx +*.appxbundle +*.appxupload + +# 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 +*.jfm +*.pfx +*.publishsettings +orleans.codegen.cs + +# Including strong name files can present a security risk +# (https://github.com/github/gitignore/pull/2483#issue-259490424) +#*.snk + +# Since there are multiple workflows, uncomment next line to ignore bower_components +# (https://github.com/github/gitignore/pull/1529#issuecomment-104372622) +#bower_components/ + +# 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 +ServiceFabricBackup/ +*.rptproj.bak + +# SQL Server files +*.mdf +*.ldf +*.ndf + +# Business Intelligence projects +*.rdl.data +*.bim.layout +*.bim_*.settings +*.rptproj.rsuser +*- [Bb]ackup.rdl +*- [Bb]ackup ([0-9]).rdl +*- [Bb]ackup ([0-9][0-9]).rdl + +# Microsoft Fakes +FakesAssemblies/ + +# GhostDoc plugin setting file +*.GhostDoc.xml + +# Node.js Tools for Visual Studio +.ntvs_analysis.dat +node_modules/ + +# Visual Studio 6 build log +*.plg + +# Visual Studio 6 workspace options file +*.opt + +# Visual Studio 6 auto-generated workspace file (contains which files were open etc.) +*.vbw + +# Visual Studio 6 auto-generated project file (contains which files were open etc.) +*.vbp + +# Visual Studio 6 workspace and project file (working project files containing files to include in project) +*.dsw +*.dsp + +# Visual Studio 6 technical files +*.ncb +*.aps + +# 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 +paket-files/ + +# FAKE - F# Make +.fake/ + +# CodeRush personal settings +.cr/personal + +# Python Tools for Visual Studio (PTVS) +__pycache__/ +*.pyc + +# Cake - Uncomment if you are using it +# tools/** +# !tools/packages.config + +# Tabs Studio +*.tss + +# Telerik's JustMock configuration file +*.jmconfig + +# BizTalk build output +*.btp.cs +*.btm.cs +*.odx.cs +*.xsd.cs + +# OpenCover UI analysis results +OpenCover/ + +# Azure Stream Analytics local run output +ASALocalRun/ + +# MSBuild Binary and Structured Log +*.binlog + +# NVidia Nsight GPU debugger configuration file +*.nvuser + +# MFractors (Xamarin productivity tool) working folder +.mfractor/ + +# Local History for Visual Studio +.localhistory/ + +# Visual Studio History (VSHistory) files +.vshistory/ + +# BeatPulse healthcheck temp database +healthchecksdb + +# Backup folder for Package Reference Convert tool in Visual Studio 2017 +MigrationBackup/ + +# Ionide (cross platform F# VS Code tools) working folder +.ionide/ + +# Fody - auto-generated XML schema +FodyWeavers.xsd + +# VS Code files for those working on multiple tools +.vscode/* +!.vscode/settings.json +!.vscode/tasks.json +!.vscode/launch.json +!.vscode/extensions.json +*.code-workspace + +# Local History for Visual Studio Code +.history/ + +# Windows Installer files from build outputs +*.cab +*.msi +*.msix +*.msm +*.msp + +# JetBrains Rider +*.sln.iml +.idea + +## +## Visual studio for Mac +## + + +# globs +Makefile.in +*.userprefs +*.usertasks +config.make +config.status +aclocal.m4 +install-sh +autom4te.cache/ +*.tar.gz +tarballs/ +test-results/ + +# Mac bundle stuff +*.dmg +*.app + +# content below from: https://github.com/github/gitignore/blob/master/Global/macOS.gitignore +# General +.DS_Store +.AppleDouble +.LSOverride + +# Icon must end with two \r +Icon + + +# Thumbnails +._* + +# Files that might appear in the root of a volume +.DocumentRevisions-V100 +.fseventsd +.Spotlight-V100 +.TemporaryItems +.Trashes +.VolumeIcon.icns +.com.apple.timemachine.donotpresent + +# Directories potentially created on remote AFP share +.AppleDB +.AppleDesktop +Network Trash Folder +Temporary Items +.apdisk + +# content below from: https://github.com/github/gitignore/blob/master/Global/Windows.gitignore +# Windows thumbnail cache files +Thumbs.db +ehthumbs.db +ehthumbs_vista.db + +# Dump file +*.stackdump + +# Folder config file +[Dd]esktop.ini + +# Recycle Bin used on file shares +$RECYCLE.BIN/ + +# Windows Installer files +*.cab +*.msi +*.msix +*.msm +*.msp + +# Windows shortcuts +*.lnk + +# Vim temporary swap files +*.swp diff --git a/static/files/algorithms/rb-trees/avl/avl.csproj b/static/files/algorithms/rb-trees/avl/avl.csproj new file mode 100644 index 0000000..22b0134 --- /dev/null +++ b/static/files/algorithms/rb-trees/avl/avl.csproj @@ -0,0 +1,25 @@ + + + + net8.0 + enable + enable + + false + true + + + + + + + runtime; build; native; contentfiles; analyzers; buildtransitive + all + + + runtime; build; native; contentfiles; analyzers; buildtransitive + all + + + + diff --git a/static/files/algorithms/rb-trees/avl/avl.sln b/static/files/algorithms/rb-trees/avl/avl.sln new file mode 100644 index 0000000..b1f629e --- /dev/null +++ b/static/files/algorithms/rb-trees/avl/avl.sln @@ -0,0 +1,25 @@ + +Microsoft Visual Studio Solution File, Format Version 12.00 +# Visual Studio Version 17 +VisualStudioVersion = 17.5.002.0 +MinimumVisualStudioVersion = 10.0.40219.1 +Project("{9A19103F-16F7-4668-BE54-9A1E7A4F7556}") = "avl", "avl.csproj", "{82C655B9-83B6-4AB4-8449-1309913DDC8F}" +EndProject +Global + GlobalSection(SolutionConfigurationPlatforms) = preSolution + Debug|Any CPU = Debug|Any CPU + Release|Any CPU = Release|Any CPU + EndGlobalSection + GlobalSection(ProjectConfigurationPlatforms) = postSolution + {82C655B9-83B6-4AB4-8449-1309913DDC8F}.Debug|Any CPU.ActiveCfg = Debug|Any CPU + {82C655B9-83B6-4AB4-8449-1309913DDC8F}.Debug|Any CPU.Build.0 = Debug|Any CPU + {82C655B9-83B6-4AB4-8449-1309913DDC8F}.Release|Any CPU.ActiveCfg = Release|Any CPU + {82C655B9-83B6-4AB4-8449-1309913DDC8F}.Release|Any CPU.Build.0 = Release|Any CPU + EndGlobalSection + GlobalSection(SolutionProperties) = preSolution + HideSolutionNode = FALSE + EndGlobalSection + GlobalSection(ExtensibilityGlobals) = postSolution + SolutionGuid = {C5C6C0D8-FFA4-4D7A-BE93-6CF1A159F1F2} + EndGlobalSection +EndGlobal diff --git a/static/files/algorithms/rb-trees/avl/src/AVL.cs b/static/files/algorithms/rb-trees/avl/src/AVL.cs new file mode 100644 index 0000000..f8210ad --- /dev/null +++ b/static/files/algorithms/rb-trees/avl/src/AVL.cs @@ -0,0 +1,49 @@ +using System.Collections; + +namespace avl; + +class AVL(IComparer comparator) : IEnumerable { + private Node? _root = null; + + public AVL() : this(Comparer.Default) { } + + public int Count { get; private set; } = 0; + public IComparer Comparator { get; } = comparator; + + public bool Add(T item) { + throw new NotImplementedException(); + } + + public bool Remove(T item) { + throw new NotImplementedException(); + } + + public void Clear() => _root = null; + + public bool Contains(T item) { + var node = _root; + + while (node != null) { + var cmp = Comparator.Compare(node.Value, item); + if (cmp < 0) { + node = node.Right; + } else if (cmp == 0) { + return true; + } else { + node = node.Left; + } + } + + return false; + } + + public void CopyTo(T[] array, int arrayIndex) { + throw new NotImplementedException(); + } + + public IEnumerator GetEnumerator() { + throw new NotImplementedException(); + } + + IEnumerator IEnumerable.GetEnumerator() => GetEnumerator(); +} diff --git a/static/files/algorithms/rb-trees/avl/src/Node.cs b/static/files/algorithms/rb-trees/avl/src/Node.cs new file mode 100644 index 0000000..b9e2096 --- /dev/null +++ b/static/files/algorithms/rb-trees/avl/src/Node.cs @@ -0,0 +1,12 @@ +namespace avl; + +class Node { + public T Value { get; init; } + + public readonly Node? Parent; + public readonly Node? Left, Right; + + public Node(T value) { + Value = value; + } +} diff --git a/static/files/algorithms/rb-trees/avl/test/AVL.cs b/static/files/algorithms/rb-trees/avl/test/AVL.cs new file mode 100644 index 0000000..85cc2e8 --- /dev/null +++ b/static/files/algorithms/rb-trees/avl/test/AVL.cs @@ -0,0 +1,24 @@ +namespace avl.test; + +public class AVL { + [Fact] + public void EmptyTree() { + var t = new AVL(); + + Assert.Equal(0, t.Count); + + for (int i = 0; i < 10; ++i) { + Assert.False(t.Contains(i)); + } + } + + [Fact] + public void OneNode() { + var t = new AVL { + 123 + }; + + Assert.Equal(1, t.Count); + Assert.True(t.Contains(1)); + } +} diff --git a/static/files/algorithms/rb-trees/avl/test/GlobalUsings.cs b/static/files/algorithms/rb-trees/avl/test/GlobalUsings.cs new file mode 100644 index 0000000..c802f44 --- /dev/null +++ b/static/files/algorithms/rb-trees/avl/test/GlobalUsings.cs @@ -0,0 +1 @@ +global using Xunit; diff --git a/static/files/algorithms/rb-trees/avl/test/Node.cs b/static/files/algorithms/rb-trees/avl/test/Node.cs new file mode 100644 index 0000000..abba823 --- /dev/null +++ b/static/files/algorithms/rb-trees/avl/test/Node.cs @@ -0,0 +1,8 @@ +namespace avl.test; + +public class Node { + [Fact] + public void Test1() { + + } +}