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algorithms(avl): add WIP
Signed-off-by: Matej Focko <me@mfocko.xyz>
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66
algorithms/08-rb-trees/2024-01-22-avl.md
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66
algorithms/08-rb-trees/2024-01-22-avl.md
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---
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id: avl
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title: AVL tree
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description: |
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Looking at a tree that's very similar to the red-black tree.
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tags:
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- AVL tree
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- balanced trees
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- zig
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last_update:
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date: 2024-01-22
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---
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## Introduction
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AVL tree is the first self-balanced tree to be ever invented. However if we look
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at the commonly used data structures to represent the set or a map, we will find
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out that red-black trees (or even its relaxation LLRB[^1]) or hash tables are
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the most used.
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Let's look into the AVL tree and how it is related to its “successor” red-black
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tree, they are closer than you can imagine.
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## Properties
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AVL tree is height-balanced same as the red-black tree. The key difference lies
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in the invariants that need to be satisfied. In this case we require that
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subtrees of any node differ in their heights at most by 1. If we were to write
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it as a condition for node $n$, we can write it like:
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$$
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\vert Height(Right(n)) - Height(Left(n)) \vert \leq 1
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$$
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Because the only allowed values here are $\left\{ -1, 0, 1 \right\}$, it is
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possible to simplify the structure of the nodes in memory by using a one byte of
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memory to store the “state” of the subtrees in a node.
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:::tip
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Some representations use a _sign_ notation of `+`, `0` and `-` which represent
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where is the tree leaning to:
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- `-` means the left subtree has bigger height ⇒ tree is leaning to left
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- `0` means both subtrees have the same height ⇒ they're equal
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- `+` means the right subtree has bigger height ⇒ tree is leaning to right
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:::
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It is also possible to find representations that allow leaning only to one side,
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by enforcing this requirement you can use just boolean to represent the state,
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i.e. the tree _is_ leaning to one side, or _is not_.
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## Implementation
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Let's have a look at the implementation of the AVL tree in some language.
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## Insertion
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## Deletion
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## Comparison with the red-black tree
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## Bonus: Implementation of the BST in Java
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[^1]: [Left-leaning Red-Black trees](https://sedgewick.io/wp-content/themes/sedgewick/papers/2008LLRB.pdf)
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363
static/files/algorithms/rb-trees/avl/.editorconfig
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static/files/algorithms/rb-trees/avl/.editorconfig
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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
|
484
static/files/algorithms/rb-trees/avl/.gitignore
vendored
Normal file
484
static/files/algorithms/rb-trees/avl/.gitignore
vendored
Normal file
|
@ -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
|
25
static/files/algorithms/rb-trees/avl/avl.csproj
Normal file
25
static/files/algorithms/rb-trees/avl/avl.csproj
Normal file
|
@ -0,0 +1,25 @@
|
|||
<Project Sdk="Microsoft.NET.Sdk">
|
||||
|
||||
<PropertyGroup>
|
||||
<TargetFramework>net8.0</TargetFramework>
|
||||
<ImplicitUsings>enable</ImplicitUsings>
|
||||
<Nullable>enable</Nullable>
|
||||
|
||||
<IsPackable>false</IsPackable>
|
||||
<IsTestProject>true</IsTestProject>
|
||||
</PropertyGroup>
|
||||
|
||||
<ItemGroup>
|
||||
<PackageReference Include="Microsoft.NET.Test.Sdk" Version="17.6.0" />
|
||||
<PackageReference Include="xunit" Version="2.4.2" />
|
||||
<PackageReference Include="xunit.runner.visualstudio" Version="2.4.5">
|
||||
<IncludeAssets>runtime; build; native; contentfiles; analyzers; buildtransitive</IncludeAssets>
|
||||
<PrivateAssets>all</PrivateAssets>
|
||||
</PackageReference>
|
||||
<PackageReference Include="coverlet.collector" Version="6.0.0">
|
||||
<IncludeAssets>runtime; build; native; contentfiles; analyzers; buildtransitive</IncludeAssets>
|
||||
<PrivateAssets>all</PrivateAssets>
|
||||
</PackageReference>
|
||||
</ItemGroup>
|
||||
|
||||
</Project>
|
25
static/files/algorithms/rb-trees/avl/avl.sln
Normal file
25
static/files/algorithms/rb-trees/avl/avl.sln
Normal file
|
@ -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
|
49
static/files/algorithms/rb-trees/avl/src/AVL.cs
Normal file
49
static/files/algorithms/rb-trees/avl/src/AVL.cs
Normal file
|
@ -0,0 +1,49 @@
|
|||
using System.Collections;
|
||||
|
||||
namespace avl;
|
||||
|
||||
class AVL<T>(IComparer<T> comparator) : IEnumerable<T> {
|
||||
private Node<T>? _root = null;
|
||||
|
||||
public AVL() : this(Comparer<T>.Default) { }
|
||||
|
||||
public int Count { get; private set; } = 0;
|
||||
public IComparer<T> 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<T> GetEnumerator() {
|
||||
throw new NotImplementedException();
|
||||
}
|
||||
|
||||
IEnumerator IEnumerable.GetEnumerator() => GetEnumerator();
|
||||
}
|
12
static/files/algorithms/rb-trees/avl/src/Node.cs
Normal file
12
static/files/algorithms/rb-trees/avl/src/Node.cs
Normal file
|
@ -0,0 +1,12 @@
|
|||
namespace avl;
|
||||
|
||||
class Node<T> {
|
||||
public T Value { get; init; }
|
||||
|
||||
public readonly Node<T>? Parent;
|
||||
public readonly Node<T>? Left, Right;
|
||||
|
||||
public Node(T value) {
|
||||
Value = value;
|
||||
}
|
||||
}
|
24
static/files/algorithms/rb-trees/avl/test/AVL.cs
Normal file
24
static/files/algorithms/rb-trees/avl/test/AVL.cs
Normal file
|
@ -0,0 +1,24 @@
|
|||
namespace avl.test;
|
||||
|
||||
public class AVL {
|
||||
[Fact]
|
||||
public void EmptyTree() {
|
||||
var t = new AVL<int>();
|
||||
|
||||
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<int> {
|
||||
123
|
||||
};
|
||||
|
||||
Assert.Equal(1, t.Count);
|
||||
Assert.True(t.Contains(1));
|
||||
}
|
||||
}
|
|
@ -0,0 +1 @@
|
|||
global using Xunit;
|
8
static/files/algorithms/rb-trees/avl/test/Node.cs
Normal file
8
static/files/algorithms/rb-trees/avl/test/Node.cs
Normal file
|
@ -0,0 +1,8 @@
|
|||
namespace avl.test;
|
||||
|
||||
public class Node {
|
||||
[Fact]
|
||||
public void Test1() {
|
||||
|
||||
}
|
||||
}
|
Loading…
Reference in a new issue