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ОС","\u002Fcsharp\u002Fsystem-programming-windows\u002Fwindows-hooks-services","01.csharp\u002F07.system-programming-windows\u002F20.windows-hooks-services",{"title":376,"path":377,"stem":378},"Системне Програмування C# (Windows) — 07.system-programming-windows","\u002Fcsharp\u002Fsystem-programming-windows\u002Fimplementation_plan","01.csharp\u002F07.system-programming-windows\u002Fimplementation_plan",{"title":380,"icon":132,"path":381,"stem":382,"children":383,"page":59},"Io","\u002Fcsharp\u002Fio","01.csharp\u002F08.io",[384,388,392,396,400],{"title":385,"path":386,"stem":387},"8.1.1. Основи роботи з файловою системою","\u002Fcsharp\u002Fio\u002Ffile-system-basics","01.csharp\u002F08.io\u002F01.file-system-basics",{"title":389,"path":390,"stem":391},"8.1.2. Потоки (Streams) та Серіалізація Даних","\u002Fcsharp\u002Fio\u002Fstreams-serialization","01.csharp\u002F08.io\u002F02.streams-serialization",{"title":393,"path":394,"stem":395},"8.2.1. JSON Serialization з System.Text.Json","\u002Fcsharp\u002Fio\u002Fjson-serialization","01.csharp\u002F08.io\u002F03.json-serialization",{"title":397,"path":398,"stem":399},"8.2.2. XML Serialization та LINQ to XML","\u002Fcsharp\u002Fio\u002Fxml-serialization","01.csharp\u002F08.io\u002F04.xml-serialization",{"title":401,"path":402,"stem":403},"8.2.3. Binary Serialization: MessagePack та Protocol Buffers","\u002Fcsharp\u002Fio\u002Fbinary-serialization","01.csharp\u002F08.io\u002F05.binary-serialization",{"title":405,"icon":132,"path":406,"stem":407,"children":408,"page":59},"Ado Net","\u002Fcsharp\u002Fado-net","01.csharp\u002F09.ado-net",[409,413,417,421,425,429,433,437,441,445,449,453],{"title":410,"path":411,"stem":412},"9.1. Введення в ADO.NET","\u002Fcsharp\u002Fado-net\u002Fintroduction-to-adonet","01.csharp\u002F09.ado-net\u002F01.introduction-to-adonet",{"title":414,"path":415,"stem":416},"9.2. Клас DbConnection — з'єднання з базою даних","\u002Fcsharp\u002Fado-net\u002Fconnection","01.csharp\u002F09.ado-net\u002F02.connection",{"title":418,"path":419,"stem":420},"9.3. Клас DbCommand — виконання SQL-запитів","\u002Fcsharp\u002Fado-net\u002Fcommand-and-queries","01.csharp\u002F09.ado-net\u002F03.command-and-queries",{"title":422,"path":423,"stem":424},"9.4. Клас DbDataReader — ефективне читання даних","\u002Fcsharp\u002Fado-net\u002Fdatareader","01.csharp\u002F09.ado-net\u002F04.datareader",{"title":426,"path":427,"stem":428},"9.5. Параметризовані запити та захист від SQL Injection","\u002Fcsharp\u002Fado-net\u002Fparameters-and-sql-injection","01.csharp\u002F09.ado-net\u002F05.parameters-and-sql-injection",{"title":430,"path":431,"stem":432},"9.6. Транзакції в ADO.NET","\u002Fcsharp\u002Fado-net\u002Ftransactions","01.csharp\u002F09.ado-net\u002F06.transactions",{"title":434,"path":435,"stem":436},"9.7. DbProviderFactory — провайдер-незалежний код","\u002Fcsharp\u002Fado-net\u002Fprovider-factory","01.csharp\u002F09.ado-net\u002F07.provider-factory",{"title":438,"path":439,"stem":440},"9.8. Асинхронний доступ до даних","\u002Fcsharp\u002Fado-net\u002Fasync-data-access","01.csharp\u002F09.ado-net\u002F08.async-data-access",{"title":442,"path":443,"stem":444},"9.9. Від'єднаний режим: DataSet, DataTable, DataRow","\u002Fcsharp\u002Fado-net\u002Fdisconnected-mode-dataset","01.csharp\u002F09.ado-net\u002F09.disconnected-mode-dataset",{"title":446,"path":447,"stem":448},"9.10. DataAdapter — міст між DataSet та базою даних","\u002Fcsharp\u002Fado-net\u002Fdata-adapter","01.csharp\u002F09.ado-net\u002F10.data-adapter",{"title":450,"path":451,"stem":452},"9.11. Data Mapper та Repository: Архітектура доступу до даних","\u002Fcsharp\u002Fado-net\u002Fdata-mapper-repository","01.csharp\u002F09.ado-net\u002F11.data-mapper-repository",{"title":454,"path":455,"stem":456},"9.12. Identity Map, Unit of Work та Specification Pattern","\u002Fcsharp\u002Fado-net\u002Fadvanced-patterns","01.csharp\u002F09.ado-net\u002F12.advanced-patterns",{"title":458,"icon":255,"path":459,"stem":460,"children":461,"page":59},"Ef Core","\u002Fcsharp\u002Fef-core","01.csharp\u002F10.ef-core",[462,466,470,474,478,482,486,490,494,498,502,506,510,514,518,522,526,532,538,542,546,550,554,558,562,566,570,574,578,582,586,590,594,598,602,606,610,614,618,622,626,630,634,638,642,646],{"title":463,"path":464,"stem":465},"Що таке ORM? Від SQL до об'єктів","\u002Fcsharp\u002Fef-core\u002Fwhat-is-orm","01.csharp\u002F10.ef-core\u002F01.what-is-orm",{"title":467,"path":468,"stem":469},"Перший проєкт — від нуля до CRUD","\u002Fcsharp\u002Fef-core\u002Ffirst-project","01.csharp\u002F10.ef-core\u002F02.first-project",{"title":471,"path":472,"stem":473},"DbContext — Серце EF Core","\u002Fcsharp\u002Fef-core\u002Fdbcontext-deep-dive","01.csharp\u002F10.ef-core\u002F03.dbcontext-deep-dive",{"title":475,"path":476,"stem":477},"Провайдери баз даних — Архітектура та Вибір СУБД","\u002Fcsharp\u002Fef-core\u002Fdatabase-providers","01.csharp\u002F10.ef-core\u002F04.database-providers",{"title":479,"path":480,"stem":481},"Конвенції EF Core — Магія без конфігурації","\u002Fcsharp\u002Fef-core\u002Fconventions","01.csharp\u002F10.ef-core\u002F05.conventions",{"title":483,"path":484,"stem":485},"Fluent API та Data Annotations — Явна конфігурація моделі","\u002Fcsharp\u002Fef-core\u002Ffluent-api-vs-annotations","01.csharp\u002F10.ef-core\u002F06.fluent-api-vs-annotations",{"title":487,"path":488,"stem":489},"Зв'язки — One-to-One та One-to-Many","\u002Fcsharp\u002Fef-core\u002Frelationships-basics","01.csharp\u002F10.ef-core\u002F07.relationships-basics",{"title":491,"path":492,"stem":493},"Зв'язки Advanced — Many-to-Many та Складні Сценарії","\u002Fcsharp\u002Fef-core\u002Frelationships-advanced","01.csharp\u002F10.ef-core\u002F08.relationships-advanced",{"title":495,"path":496,"stem":497},"Властивості — Типи, Конвертери, Компаратори (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fproperty-configuration-part1","01.csharp\u002F10.ef-core\u002F09.property-configuration-part1",{"title":499,"path":500,"stem":501},"Властивості — Value Comparers, Generators, Shadow Properties (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fproperty-configuration-part2","01.csharp\u002F10.ef-core\u002F09.property-configuration-part2",{"title":503,"path":504,"stem":505},"Складні типи — Owned Types та Complex Types (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fcomplex-types-owned-part1","01.csharp\u002F10.ef-core\u002F10.complex-types-owned-part1",{"title":507,"path":508,"stem":509},"Складні типи — Complex Types, Keyless Entities, Порівняння (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fcomplex-types-owned-part2","01.csharp\u002F10.ef-core\u002F10.complex-types-owned-part2",{"title":511,"path":512,"stem":513},"JSON Columns — Складні дані у JSON (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fjson-columns-part1","01.csharp\u002F10.ef-core\u002F11.json-columns-part1",{"title":515,"path":516,"stem":517},"JSON Columns — Value Comparers, Індекси, Провайдери (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fjson-columns-part2","01.csharp\u002F10.ef-core\u002F11.json-columns-part2",{"title":519,"path":520,"stem":521},"Успадкування — Абстрактні класи та TPH (Частина 1)","\u002Fcsharp\u002Fef-core\u002Finheritance-part1","01.csharp\u002F10.ef-core\u002F12.inheritance-part1",{"title":523,"path":524,"stem":525},"Успадкування — TPT, TPC та Порівняння Стратегій (Частина 2)","\u002Fcsharp\u002Fef-core\u002Finheritance-part2","01.csharp\u002F10.ef-core\u002F12.inheritance-part2",{"title":527,"path":528,"stem":529,"children":530},"Індекси, Обмеження та Схема (Частина 1)","\u002Fcsharp\u002Fef-core\u002Findexes-constraints-part1","01.csharp\u002F10.ef-core\u002F13.indexes-constraints-part1",[531],{"title":527,"path":528,"stem":529},{"title":533,"path":534,"stem":535,"children":536},"Індекси, Обмеження та Схема (Частина 2)","\u002Fcsharp\u002Fef-core\u002Findexes-constraints-part2","01.csharp\u002F10.ef-core\u002F13.indexes-constraints-part2",[537],{"title":533,"path":534,"stem":535},{"title":539,"path":540,"stem":541},"Seed Data — Початкові Дані (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fseeding-part1","01.csharp\u002F10.ef-core\u002F14.seeding-part1",{"title":543,"path":544,"stem":545},"Seed Data — SQL-скрипти, Bogus та Стратегії (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fseeding-part2","01.csharp\u002F10.ef-core\u002F14.seeding-part2",{"title":547,"path":548,"stem":549},"Global Query Filters — Глобальні Фільтри (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fglobal-query-filters-part1","01.csharp\u002F10.ef-core\u002F15.global-query-filters-part1",{"title":551,"path":552,"stem":553},"Global Query Filters — Підводні камені та Інтеграція (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fglobal-query-filters-part2","01.csharp\u002F10.ef-core\u002F15.global-query-filters-part2",{"title":555,"path":556,"stem":557},"LINQ-запити в EF Core (Частина 1)","\u002Fcsharp\u002Fef-core\u002Flinq-queries-part1","01.csharp\u002F10.ef-core\u002F16.linq-queries-part1",{"title":559,"path":560,"stem":561},"LINQ-запити в EF Core (Частина 2)","\u002Fcsharp\u002Fef-core\u002Flinq-queries-part2","01.csharp\u002F10.ef-core\u002F16.linq-queries-part2",{"title":563,"path":564,"stem":565},"Завантаження Пов'язаних Даних (Частина 1)","\u002Fcsharp\u002Fef-core\u002Floading-related-data-part1","01.csharp\u002F10.ef-core\u002F17.loading-related-data-part1",{"title":567,"path":568,"stem":569},"Завантаження Пов'язаних Даних (Частина 2)","\u002Fcsharp\u002Fef-core\u002Floading-related-data-part2","01.csharp\u002F10.ef-core\u002F17.loading-related-data-part2",{"title":571,"path":572,"stem":573},"Raw SQL, Views та Stored Procedures (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fraw-sql-part1","01.csharp\u002F10.ef-core\u002F18.raw-sql-part1",{"title":575,"path":576,"stem":577},"Raw SQL — Stored Procedures, DbFunction та Bulk Operations (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fraw-sql-part2","01.csharp\u002F10.ef-core\u002F18.raw-sql-part2",{"title":579,"path":580,"stem":581},"Продвинуті Запити — Compiled Queries, Bulk та Оптимізація (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fadvanced-queries-part1","01.csharp\u002F10.ef-core\u002F19.advanced-queries-part1",{"title":583,"path":584,"stem":585},"Продвинуті Запити — Query Tags, Bulk та Interceptors (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fadvanced-queries-part2","01.csharp\u002F10.ef-core\u002F19.advanced-queries-part2",{"title":587,"path":588,"stem":589},"Change Tracker — Відстеження Змін (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fchange-tracking-part1","01.csharp\u002F10.ef-core\u002F20.change-tracking-part1",{"title":591,"path":592,"stem":593},"Change Tracker — Графи Об'єктів та Disconnected (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fchange-tracking-part2","01.csharp\u002F10.ef-core\u002F20.change-tracking-part2",{"title":595,"path":596,"stem":597},"Збереження Даних та Транзакції (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fsaving-data-part1","01.csharp\u002F10.ef-core\u002F21.saving-data-part1",{"title":599,"path":600,"stem":601},"Збереження Даних — Concurrency та Outbox (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fsaving-data-part2","01.csharp\u002F10.ef-core\u002F21.saving-data-part2",{"title":603,"path":604,"stem":605},"Конкурентність та Блокування (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fconcurrency-part1","01.csharp\u002F10.ef-core\u002F22.concurrency-part1",{"title":607,"path":608,"stem":609},"Конкурентність — Дедлоки та Queue Processing (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fconcurrency-part2","01.csharp\u002F10.ef-core\u002F22.concurrency-part2",{"title":611,"path":612,"stem":613},"Міграції в EF Core — Основи (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fmigrations-basics-part1","01.csharp\u002F10.ef-core\u002F23.migrations-basics-part1",{"title":615,"path":616,"stem":617},"Міграції в EF Core — Основи (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fmigrations-basics-part2","01.csharp\u002F10.ef-core\u002F23.migrations-basics-part2",{"title":619,"path":620,"stem":621},"Міграції — Просунуті Сценарії (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fmigrations-advanced-part1","01.csharp\u002F10.ef-core\u002F24.migrations-advanced-part1",{"title":623,"path":624,"stem":625},"Міграції — Просунуті Сценарії (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fmigrations-advanced-part2","01.csharp\u002F10.ef-core\u002F24.migrations-advanced-part2",{"title":627,"path":628,"stem":629},"Управління Схемою та Database-First (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fschema-management-part1","01.csharp\u002F10.ef-core\u002F25.schema-management-part1",{"title":631,"path":632,"stem":633},"Управління Схемою та Database-First (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fschema-management-part2","01.csharp\u002F10.ef-core\u002F25.schema-management-part2",{"title":635,"path":636,"stem":637},"Продуктивність EF Core — Основи (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fperformance-fundamentals-part1","01.csharp\u002F10.ef-core\u002F26.performance-fundamentals-part1",{"title":639,"path":640,"stem":641},"Interceptors в EF Core (Частина 1)","\u002Fcsharp\u002Fef-core\u002Finterceptors-part1","01.csharp\u002F10.ef-core\u002F29.interceptors-part1",{"title":643,"path":644,"stem":645},"Interceptors в EF Core — Connection, Transaction та Materialization (Частина 2)","\u002Fcsharp\u002Fef-core\u002Finterceptors-part2","01.csharp\u002F10.ef-core\u002F29.interceptors-part2",{"title":647,"path":648,"stem":649},"План вивчення Entity Framework Core — Повний курс","\u002Fcsharp\u002Fef-core\u002Fimplementation_plan","01.csharp\u002F10.ef-core\u002Fimplementation_plan",{"title":651,"icon":652,"path":653,"stem":654,"children":655,"page":59},"ASP.NET","i-devicon-dotnetcore","\u002Fcsharp\u002Faspnet","01.csharp\u002F11.aspnet",[656,730,791,869,927,941,967,1057,1111,1182,1212,1289,1346],{"title":657,"icon":658,"path":659,"stem":660,"children":661,"page":59},"Minimal API","i-lucide-network","\u002Fcsharp\u002Faspnet\u002Fminimal-api","01.csharp\u002F11.aspnet\u002F01.minimal-api",[662,666,670,674,678,682,686,690,694,698,702,706,710,714,718,722,726],{"title":663,"path":664,"stem":665},"Вступ до ASP.NET та еволюція фреймворку","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fintroduction","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F01.introduction",{"title":667,"path":668,"stem":669},"Перший додаток на ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Ffirst-application","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F02.first-application",{"title":671,"path":672,"stem":673},"WebApplication, Builder та Dependency Injection","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fwebapplication-builder","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F03.webapplication-builder",{"title":675,"path":676,"stem":677},"Конвеєр запитів та Middleware","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Frequest-pipeline-middleware","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F04.request-pipeline-middleware",{"title":679,"path":680,"stem":681},"Маршрутизація в ASP.NET Core: Основи","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Frouting-basics","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F05.routing-basics",{"title":683,"path":684,"stem":685},"Маршрутизація в ASP.NET Core: Розширені можливості","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Frouting-advanced","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F06.routing-advanced",{"title":687,"path":688,"stem":689},"Статичні файли в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fstatic-files","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F07.static-files",{"title":691,"path":692,"stem":693},"Статичні Активи: MapStaticAssets (ASP.NET Core 9.0)","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fstatic-assets","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F08.static-assets",{"title":695,"path":696,"stem":697},"Конфігурація в ASP.NET Core: Основи","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fconfiguration-fundamentals","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F09.configuration-fundamentals",{"title":699,"path":700,"stem":701},"Конфігурація: Паттерн Options","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fconfiguration-options","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F10.configuration-options",{"title":703,"path":704,"stem":705},"Логування в ASP.NET Core: Основи","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Flogging-basics","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F11.logging-basics",{"title":707,"path":708,"stem":709},"Логування: Serilog та Middleware","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Flogging-advanced","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F12.logging-advanced",{"title":711,"path":712,"stem":713},"Управління станом: HttpContext.Items та Cookies","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fstate-management","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F13.state-management",{"title":715,"path":716,"stem":717},"Стан сесії: Sessions","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fsession-state","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F14.session-state",{"title":719,"path":720,"stem":721},"Структура проєкту: від хаосу до архітектури","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fproject-structure","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F15.project-structure",{"title":723,"path":724,"stem":725},"Scalar у Minimal API: повний проєкт і Fluent OpenAPI","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fscalar-openapi-fluent","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F16.scalar-openapi-fluent",{"title":727,"path":728,"stem":729},"Swagger \u002F Swashbuckle у Minimal API: окремий класичний шлях","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fswagger-swashbuckle","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F17.swagger-swashbuckle",{"title":731,"icon":658,"path":732,"stem":733,"children":734,"page":59},"API","\u002Fcsharp\u002Faspnet\u002Fapi","01.csharp\u002F11.aspnet\u002F02.api",[735,739,743,747,751,755,759,763,767,771,775,779,783,787],{"title":736,"path":737,"stem":738},"Що таке API. Клієнт-серверна архітектура","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fwhat-is-api","01.csharp\u002F11.aspnet\u002F02.api\u002F01.what-is-api",{"title":740,"path":741,"stem":742},"Формати даних: JSON, XML, TOML та бінарні формати","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fdata-formats","01.csharp\u002F11.aspnet\u002F02.api\u002F02.data-formats",{"title":744,"path":745,"stem":746},"Парадигми API та концепція REST","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fapi-paradigms-rest","01.csharp\u002F11.aspnet\u002F02.api\u002F03.api-paradigms-rest",{"title":748,"path":749,"stem":750},"HTTP-методи, статус-коди та заголовки","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fhttp-methods-status-codes","01.csharp\u002F11.aspnet\u002F02.api\u002F04.http-methods-status-codes",{"title":752,"path":753,"stem":754},"Організація HTTP API за принципами REST","\u002Fcsharp\u002Faspnet\u002Fapi\u002Frest-organizing","01.csharp\u002F11.aspnet\u002F02.api\u002F05.rest-organizing",{"title":756,"path":757,"stem":758},"Номенклатура URL та CRUD-операції","\u002Fcsharp\u002Faspnet\u002Fapi\u002Furl-nomenclature-crud","01.csharp\u002F11.aspnet\u002F02.api\u002F06.url-nomenclature-crud",{"title":760,"path":761,"stem":762},"Правила дизайну: іменування та стандарти","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fapi-design-naming","01.csharp\u002F11.aspnet\u002F02.api\u002F07.api-design-naming",{"title":764,"path":765,"stem":766},"Валідація, ліміти та обробка помилок","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fapi-design-validation","01.csharp\u002F11.aspnet\u002F02.api\u002F08.api-design-validation",{"title":768,"path":769,"stem":770},"Обробка помилок у Minimal API","\u002Fcsharp\u002Faspnet\u002Fapi\u002Ferror-handling-http","01.csharp\u002F11.aspnet\u002F02.api\u002F09.error-handling-http",{"title":772,"path":773,"stem":774},"Ідемпотентність та синхронізація стану","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fidempotency-sync","01.csharp\u002F11.aspnet\u002F02.api\u002F10.idempotency-sync",{"title":776,"path":777,"stem":778},"Пагінація та організація списків","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fpagination-lists","01.csharp\u002F11.aspnet\u002F02.api\u002F11.pagination-lists",{"title":780,"path":781,"stem":782},"Безпека API, кешування та інтернаціоналізація","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fsecurity-auth","01.csharp\u002F11.aspnet\u002F02.api\u002F12.security-auth",{"title":784,"path":785,"stem":786},"Процес проєктування API та документування","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fapi-design-process","01.csharp\u002F11.aspnet\u002F02.api\u002F13.api-design-process",{"title":788,"path":789,"stem":790},"OpenAPI: контракт, специфікація та документація API","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fopenapi","01.csharp\u002F11.aspnet\u002F02.api\u002F14.openapi",{"title":792,"icon":793,"path":794,"stem":795,"children":796,"page":59},"Auth","i-lucide-shield-check","\u002Fcsharp\u002Faspnet\u002Fauth","01.csharp\u002F11.aspnet\u002F03.auth",[797,801,805,809,813,817,821,825,829,833,837,841,845,849,853,857,861,865],{"title":798,"path":799,"stem":800},"Основи аутентифікації та авторизації","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fauth-fundamentals","01.csharp\u002F11.aspnet\u002F03.auth\u002F01.auth-fundamentals",{"title":802,"path":803,"stem":804},"JWT-аутентифікація","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fjwt-authentication","01.csharp\u002F11.aspnet\u002F03.auth\u002F02.jwt-authentication",{"title":806,"path":807,"stem":808},"Авторизація: ролі, політики та resource-based доступ","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fauthorization-policies","01.csharp\u002F11.aspnet\u002F03.auth\u002F03.authorization-policies",{"title":810,"path":811,"stem":812},"Cookie-аутентифікація та ASP.NET Core Identity","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fcookie-auth-identity","01.csharp\u002F11.aspnet\u002F03.auth\u002F04.cookie-auth-identity",{"title":814,"path":815,"stem":816},"JWT + Refresh Tokens (HttpOnly Cookie)","\u002Fcsharp\u002Faspnet\u002Fauth\u002F04b.identity-auth-jwt","01.csharp\u002F11.aspnet\u002F03.auth\u002F04b.identity-auth-jwt",{"title":818,"path":819,"stem":820},"Identity: Підтвердження Email та Скидання Пароля","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fidentity-email-confirmation","01.csharp\u002F11.aspnet\u002F03.auth\u002F05.identity-email-confirmation",{"title":822,"path":823,"stem":824},"Identity: Двофакторна Аутентифікація (2FA)","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fidentity-two-factor","01.csharp\u002F11.aspnet\u002F03.auth\u002F06.identity-two-factor",{"title":826,"path":827,"stem":828},"Identity: Внутрішня Архітектура та Кастомізація","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fidentity-internals","01.csharp\u002F11.aspnet\u002F03.auth\u002F07.identity-internals",{"title":830,"path":831,"stem":832},"OAuth 2.0 та зовнішні провайдери","\u002Fcsharp\u002Faspnet\u002Fauth\u002Foauth-external-providers","01.csharp\u002F11.aspnet\u002F03.auth\u002F08.oauth-external-providers",{"title":834,"path":835,"stem":836},"Безпека на практиці: CORS, HTTPS та захист від атак","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fsecurity-hardening","01.csharp\u002F11.aspnet\u002F03.auth\u002F09.security-hardening",{"title":838,"path":839,"stem":840},"Теорія OAuth 2.0: Поняття, Аналогії та Флоу","\u002Fcsharp\u002Faspnet\u002Fauth\u002Foauth-theory","01.csharp\u002F11.aspnet\u002F03.auth\u002F10.oauth-theory",{"title":842,"path":843,"stem":844},"OIDC, OAuth 2.0 та Keycloak в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Foidc-keycloak","01.csharp\u002F11.aspnet\u002F03.auth\u002F10.oidc-keycloak",{"title":846,"path":847,"stem":848},"API Keys аутентифікація в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fapi-keys","01.csharp\u002F11.aspnet\u002F03.auth\u002F11.api-keys",{"title":850,"path":851,"stem":852},"Rate Limiting та Throttling в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Frate-limiting","01.csharp\u002F11.aspnet\u002F03.auth\u002F12.rate-limiting",{"title":854,"path":855,"stem":856},"Refresh Token Rotation в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Frefresh-token-rotation","01.csharp\u002F11.aspnet\u002F03.auth\u002F13.refresh-token-rotation",{"title":858,"path":859,"stem":860},"Certificate Authentication та mTLS в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fcertificate-auth","01.csharp\u002F11.aspnet\u002F03.auth\u002F14.certificate-auth",{"title":862,"path":863,"stem":864},"RBAC, ABAC та ReBAC в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Frbac-abac-rebac","01.csharp\u002F11.aspnet\u002F03.auth\u002F15.rbac-abac-rebac",{"title":866,"path":867,"stem":868},"Multi-tenancy та ізоляція даних в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fmulti-tenancy","01.csharp\u002F11.aspnet\u002F03.auth\u002F16.multi-tenancy",{"title":870,"icon":871,"path":872,"stem":873,"children":874,"page":59},"Нотифікації","i-lucide-bell","\u002Fcsharp\u002Faspnet\u002Fnotifications","01.csharp\u002F11.aspnet\u002F04.notifications",[875,879,883,887,891,895,899,903,907,911,915,919,923],{"title":876,"path":877,"stem":878},"In-App нотифікації через базу даних","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fin-app-database-notifications","01.csharp\u002F11.aspnet\u002F04.notifications\u002F01.in-app-database-notifications",{"title":880,"path":881,"stem":882},"Polling: Регулярний запит оновлень","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fpolling","01.csharp\u002F11.aspnet\u002F04.notifications\u002F02.polling",{"title":884,"path":885,"stem":886},"Server-Sent Events: Однострімовий push від сервера","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fserver-sent-events","01.csharp\u002F11.aspnet\u002F04.notifications\u002F03.server-sent-events",{"title":888,"path":889,"stem":890},"WebSockets: Двостороннє з'єднання в реальному часі","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fwebsockets","01.csharp\u002F11.aspnet\u002F04.notifications\u002F04.websockets",{"title":892,"path":893,"stem":894},"SignalR: Абстракція над транспортами реального часу","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fsignalr","01.csharp\u002F11.aspnet\u002F04.notifications\u002F05.signalr",{"title":896,"path":897,"stem":898},"Background Services: Фонові задачі в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fbackground-services","01.csharp\u002F11.aspnet\u002F04.notifications\u002F06.background-services",{"title":900,"path":901,"stem":902},"Web Push нотифікації","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fweb-push","01.csharp\u002F11.aspnet\u002F04.notifications\u002F07.web-push",{"title":904,"path":905,"stem":906},"Email нотифікації","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Femail-notifications","01.csharp\u002F11.aspnet\u002F04.notifications\u002F08.email-notifications",{"title":908,"path":909,"stem":910},"Порівняння підходів: Як вибрати правильну технологію нотифікацій","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fchoosing-the-right-approach","01.csharp\u002F11.aspnet\u002F04.notifications\u002F09.choosing-the-right-approach",{"title":912,"path":913,"stem":914},"Hangfire: Надійне планування фонових задач","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fhangfire","01.csharp\u002F11.aspnet\u002F04.notifications\u002F10.hangfire",{"title":916,"path":917,"stem":918},"Практика: Конвертація зображень у WebP через Hangfire","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fhangfire-image-webp","01.csharp\u002F11.aspnet\u002F04.notifications\u002F11.hangfire-image-webp",{"title":920,"path":921,"stem":922},"Практика: Підготовка відео до HLS-стрімінгу через Hangfire","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fhangfire-video-hls","01.csharp\u002F11.aspnet\u002F04.notifications\u002F12.hangfire-video-hls",{"title":924,"path":925,"stem":926},"Telegram-нотифікації: від одного повідомлення до масових розсилок і мульти-канального підходу","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Ftelegram-notifications","01.csharp\u002F11.aspnet\u002F04.notifications\u002F13.telegram-notifications",{"title":928,"icon":929,"path":930,"stem":931,"children":932,"page":59},"Інтернаціоналізація","i-lucide-languages","\u002Fcsharp\u002Faspnet\u002Fi18n","01.csharp\u002F11.aspnet\u002F05.i18n",[933,937],{"title":934,"path":935,"stem":936},"Інтернаціоналізація (i18n) у Minimal API: від A до Я","\u002Fcsharp\u002Faspnet\u002Fi18n\u002Finternationalization","01.csharp\u002F11.aspnet\u002F05.i18n\u002F01.internationalization",{"title":938,"path":939,"stem":940},"Humanizer: людиномовні рядки у .NET","\u002Fcsharp\u002Faspnet\u002Fi18n\u002Fhumanizer","01.csharp\u002F11.aspnet\u002F05.i18n\u002F02.humanizer",{"title":942,"icon":943,"path":944,"stem":945,"children":946,"page":59},"Кешування","i-lucide-layers","\u002Fcsharp\u002Faspnet\u002Fcaching","01.csharp\u002F11.aspnet\u002F06.caching",[947,951,955,959,963],{"title":948,"path":949,"stem":950},"Огляд кешування: чотири рівні і коли що обирати","\u002Fcsharp\u002Faspnet\u002Fcaching\u002Fcaching","01.csharp\u002F11.aspnet\u002F06.caching\u002F01.caching",{"title":952,"path":953,"stem":954},"IMemoryCache: кеш в оперативній пам'яті","\u002Fcsharp\u002Faspnet\u002Fcaching\u002Fmemory-cache","01.csharp\u002F11.aspnet\u002F06.caching\u002F02.memory-cache",{"title":956,"path":957,"stem":958},"IDistributedCache і Redis: розподілений кеш","\u002Fcsharp\u002Faspnet\u002Fcaching\u002Fdistributed-cache","01.csharp\u002F11.aspnet\u002F06.caching\u002F03.distributed-cache",{"title":960,"path":961,"stem":962},"Response Cache: HTTP-кешування через Cache-Control","\u002Fcsharp\u002Faspnet\u002Fcaching\u002Fresponse-cache","01.csharp\u002F11.aspnet\u002F06.caching\u002F04.response-cache",{"title":964,"path":965,"stem":966},"Output Cache: серверний кеш HTTP-відповідей (.NET 7+)","\u002Fcsharp\u002Faspnet\u002Fcaching\u002Foutput-cache","01.csharp\u002F11.aspnet\u002F06.caching\u002F05.output-cache",{"title":968,"icon":969,"path":970,"stem":971,"children":972,"page":59},"Тестування","i-lucide-test-tube","\u002Fcsharp\u002Faspnet\u002Ftesting","01.csharp\u002F11.aspnet\u002F07.testing",[973,977,981,985,989,993,997,1001,1005,1009,1013,1017,1021,1025,1029,1033,1037,1041,1045,1049,1053],{"title":974,"path":975,"stem":976},"Що таке тестування? Від інтуїції до науки","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fwhat-is-testing","01.csharp\u002F11.aspnet\u002F07.testing\u002F01.what-is-testing",{"title":978,"path":979,"stem":980},"Піраміда тестування — Стратегія, а не Догма","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Ftesting-pyramid","01.csharp\u002F11.aspnet\u002F07.testing\u002F02.testing-pyramid",{"title":982,"path":983,"stem":984},"Дві Школи Тестування — Лондон проти Детройту","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Ftesting-schools","01.csharp\u002F11.aspnet\u002F07.testing\u002F03.testing-schools",{"title":986,"path":987,"stem":988},"TDD та BDD — Тести як Дизайн-інструмент","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Ftdd-and-bdd","01.csharp\u002F11.aspnet\u002F07.testing\u002F04.tdd-and-bdd",{"title":990,"path":991,"stem":992},"Що саме тестувати — Техніки аналізу та Циклomatична складність","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fwhat-to-test","01.csharp\u002F11.aspnet\u002F07.testing\u002F05.what-to-test",{"title":994,"path":995,"stem":996},"Тестові Фреймворки — Навіщо вони і що всередині","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Ftest-frameworks","01.csharp\u002F11.aspnet\u002F07.testing\u002F06.test-frameworks",{"title":998,"path":999,"stem":1000},"xUnit — Факти, Теорії та Lifecycle тестів","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fxunit-basics","01.csharp\u002F11.aspnet\u002F07.testing\u002F07.xunit-basics",{"title":1002,"path":1003,"stem":1004},"xUnit Advanced — Fixtures, Кастомізація та Розширення","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fxunit-advanced","01.csharp\u002F11.aspnet\u002F07.testing\u002F08.xunit-advanced",{"title":1006,"path":1007,"stem":1008},"Moq — Глибоке занурення в мокування","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fmocking-with-moq","01.csharp\u002F11.aspnet\u002F07.testing\u002F09.mocking-with-moq",{"title":1010,"path":1011,"stem":1012},"Тестування Баз Даних — EF Core, SQLite та Testcontainers","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fdatabase-testing","01.csharp\u002F11.aspnet\u002F07.testing\u002F10.database-testing",{"title":1014,"path":1015,"stem":1016},"Integration Testing — Частина 1 [Теорія та WebApplicationFactory]","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fintegration-testing","01.csharp\u002F11.aspnet\u002F07.testing\u002F11.integration-testing",{"title":1018,"path":1019,"stem":1020},"Інтеграційне тестування — Практика","\u002Fcsharp\u002Faspnet\u002Ftesting\u002F11a.integration-testing-practice","01.csharp\u002F11.aspnet\u002F07.testing\u002F11a.integration-testing-practice",{"title":1022,"path":1023,"stem":1024},"Integration Testing — Частина 2 [Просунуті Сценарії та Testcontainers]","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fintegration-testing-advanced","01.csharp\u002F11.aspnet\u002F07.testing\u002F12.integration-testing-advanced",{"title":1026,"path":1027,"stem":1028},"Професійний Postman: Колекції, Змінні та GitHub Інтеграція","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fpostman-professional","01.csharp\u002F11.aspnet\u002F07.testing\u002F13.postman-professional",{"title":1030,"path":1031,"stem":1032},"HttpClient у Тестах Частина 1: Архітектура та MockHttpMessageHandler","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fhttpclient-testing","01.csharp\u002F11.aspnet\u002F07.testing\u002F14.httpclient-testing",{"title":1034,"path":1035,"stem":1036},"HttpClient у Тестах Частина 2: WireMock.Net та Resilience","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fwiremock-net","01.csharp\u002F11.aspnet\u002F07.testing\u002F15.wiremock-net",{"title":1038,"path":1039,"stem":1040},"Патерни та Анти-патерни Тестування: Test Smells","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Ftesting-patterns","01.csharp\u002F11.aspnet\u002F07.testing\u002F16.testing-patterns",{"title":1042,"path":1043,"stem":1044},"Просунуті інструменти: Time, Snapshots та Властивості","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fadvanced-testing-tools","01.csharp\u002F11.aspnet\u002F07.testing\u002F17.advanced-testing-tools",{"title":1046,"path":1047,"stem":1048},"Тестування Архітектури з NetArchTest","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Farchitecture-testing","01.csharp\u002F11.aspnet\u002F07.testing\u002F18.architecture-testing",{"title":1050,"path":1051,"stem":1052},"Тестування Продуктивності: BenchmarkDotNet, NBomber та k6","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fperformance-testing","01.csharp\u002F11.aspnet\u002F07.testing\u002F19.performance-testing",{"title":1054,"path":1055,"stem":1056},"Залишок плану для курсу \"Тестування ASP.NET Minimal API\"","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fremaining_plan","01.csharp\u002F11.aspnet\u002F07.testing\u002Fremaining_plan",{"title":1058,"icon":1059,"path":1060,"stem":1061,"children":1062,"page":59},"Платежі","i-lucide-credit-card","\u002Fcsharp\u002Faspnet\u002Fpayments","01.csharp\u002F11.aspnet\u002F08.payments",[1063,1067,1071,1075,1079,1083,1087,1091,1095,1099,1103,1107],{"title":1064,"path":1065,"stem":1066},"Основи платіжної інфраструктури","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fpayment-fundamentals","01.csharp\u002F11.aspnet\u002F08.payments\u002F01.payment-fundamentals",{"title":1068,"path":1069,"stem":1070},"Методи оплати в Україні","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fpayment-methods-ukraine","01.csharp\u002F11.aspnet\u002F08.payments\u002F02.payment-methods-ukraine",{"title":1072,"path":1073,"stem":1074},"PCI DSS та безпека платежів","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fpci-dss-security","01.csharp\u002F11.aspnet\u002F08.payments\u002F03.pci-dss-security",{"title":1076,"path":1077,"stem":1078},"Архітектура платіжної підсистеми","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fpayment-architecture","01.csharp\u002F11.aspnet\u002F08.payments\u002F04.payment-architecture",{"title":1080,"path":1081,"stem":1082},"Інтеграція LiqPay (ПриватБанк)","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fliqpay-integration","01.csharp\u002F11.aspnet\u002F08.payments\u002F05.liqpay-integration",{"title":1084,"path":1085,"stem":1086},"Інтеграція Monobank Acquiring API","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fmonobank-acquiring","01.csharp\u002F11.aspnet\u002F08.payments\u002F06.monobank-acquiring",{"title":1088,"path":1089,"stem":1090},"Інтеграція Stripe","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fstripe-integration","01.csharp\u002F11.aspnet\u002F08.payments\u002F07.stripe-integration",{"title":1092,"path":1093,"stem":1094},"Webhooks — глибоке занурення","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fwebhooks-deep-dive","01.csharp\u002F11.aspnet\u002F08.payments\u002F08.webhooks-deep-dive",{"title":1096,"path":1097,"stem":1098},"Підписки та рекурентні платежі","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fsubscriptions-recurring","01.csharp\u002F11.aspnet\u002F08.payments\u002F09.subscriptions-recurring",{"title":1100,"path":1101,"stem":1102},"Повернення коштів та диспути","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Frefunds-disputes","01.csharp\u002F11.aspnet\u002F08.payments\u002F10.refunds-disputes",{"title":1104,"path":1105,"stem":1106},"Тестування платіжних інтеграцій","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Ftesting-payments","01.csharp\u002F11.aspnet\u002F08.payments\u002F11.testing-payments",{"title":1108,"path":1109,"stem":1110},"Чекліст виходу в Production","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fproduction-checklist","01.csharp\u002F11.aspnet\u002F08.payments\u002F12.production-checklist",{"title":1112,"icon":1113,"items":1114,"path":1127,"stem":1128,"children":1129,"page":59},"Популярні бібліотеки","lucide:box",[1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126],"01.fluent-validation","02.mapster","03.erroror-result-pattern","04.serilog","05.mediatr","06.polly","07.health-checks","08.feature-management","09.fluent-email","10.quest-pdf","11.bogus","12.humanizer-guard","\u002Fcsharp\u002Faspnet\u002Flibraries","01.csharp\u002F11.aspnet\u002F09.libraries",[1130,1134,1138,1142,1146,1150,1154,1158,1162,1166,1170,1174,1178],{"title":1131,"path":1132,"stem":1133},"Валідація з FluentValidation в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Ffluent-validation","01.csharp\u002F11.aspnet\u002F09.libraries\u002F01.fluent-validation",{"title":1135,"path":1136,"stem":1137},"Маппінг об","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fmapster","01.csharp\u002F11.aspnet\u002F09.libraries\u002F02.mapster",{"title":1139,"path":1140,"stem":1141},"Обробка помилок з ErrorOr та Result Pattern в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Ferroror-result-pattern","01.csharp\u002F11.aspnet\u002F09.libraries\u002F03.erroror-result-pattern",{"title":1143,"path":1144,"stem":1145},"Структуроване логування з Serilog в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fserilog","01.csharp\u002F11.aspnet\u002F09.libraries\u002F04.serilog",{"title":1147,"path":1148,"stem":1149},"CQRS та Mediator з MediatR в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fmediatr","01.csharp\u002F11.aspnet\u002F09.libraries\u002F05.mediatr",{"title":1151,"path":1152,"stem":1153},"Відмовостійкість з Polly в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fpolly","01.csharp\u002F11.aspnet\u002F09.libraries\u002F06.polly",{"title":1155,"path":1156,"stem":1157},"Health Checks в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fhealth-checks","01.csharp\u002F11.aspnet\u002F09.libraries\u002F07.health-checks",{"title":1159,"path":1160,"stem":1161},"Feature Management та Feature Flags в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Ffeature-management","01.csharp\u002F11.aspnet\u002F09.libraries\u002F08.feature-management",{"title":1163,"path":1164,"stem":1165},"Відправка Email з FluentEmail в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Ffluent-email","01.csharp\u002F11.aspnet\u002F09.libraries\u002F09.fluent-email",{"title":1167,"path":1168,"stem":1169},"Генерація PDF з QuestPDF в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fquest-pdf","01.csharp\u002F11.aspnet\u002F09.libraries\u002F10.quest-pdf",{"title":1171,"path":1172,"stem":1173},"Генерація тестових даних з Bogus в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fbogus","01.csharp\u002F11.aspnet\u002F09.libraries\u002F11.bogus",{"title":1175,"path":1176,"stem":1177},"Humanizer та Guard Clauses в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fhumanizer-guard","01.csharp\u002F11.aspnet\u002F09.libraries\u002F12.humanizer-guard",{"title":1179,"path":1180,"stem":1181},"План модуля 10.libraries — Популярні бібліотеки ASP.NET","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fplan","01.csharp\u002F11.aspnet\u002F09.libraries\u002Fplan",{"title":1183,"icon":1184,"path":1185,"stem":1186,"children":1187,"page":59},"Razor Pages","i-lucide-layout-template","\u002Fcsharp\u002Faspnet\u002Frazor-pages","01.csharp\u002F11.aspnet\u002F10.razor-pages",[1188,1192,1196,1200,1204,1208],{"title":1189,"path":1190,"stem":1191},"Від Minimal API до Razor Pages: концептуальний перехід","\u002Fcsharp\u002Faspnet\u002Frazor-pages\u002Ffrom-minimal-api","01.csharp\u002F11.aspnet\u002F10.razor-pages\u002F01.from-minimal-api",{"title":1193,"path":1194,"stem":1195},"PageModel: логіка сторінки Razor Pages","\u002Fcsharp\u002Faspnet\u002Frazor-pages\u002Fpage-model","01.csharp\u002F11.aspnet\u002F10.razor-pages\u002F02.page-model",{"title":1197,"path":1198,"stem":1199},"Razor синтаксис: шаблонізатор у .cshtml","\u002Fcsharp\u002Faspnet\u002Frazor-pages\u002Frazor-syntax","01.csharp\u002F11.aspnet\u002F10.razor-pages\u002F03.razor-syntax",{"title":1201,"path":1202,"stem":1203},"Tag Helpers: типізований HTML","\u002Fcsharp\u002Faspnet\u002Frazor-pages\u002Ftag-helpers","01.csharp\u002F11.aspnet\u002F10.razor-pages\u002F04.tag-helpers",{"title":1205,"path":1206,"stem":1207},"Форми і валідація: повний цикл обробки даних","\u002Fcsharp\u002Faspnet\u002Frazor-pages\u002Fforms-validation","01.csharp\u002F11.aspnet\u002F10.razor-pages\u002F05.forms-validation",{"title":1209,"path":1210,"stem":1211},"Практичний проєкт: TaskManager на Razor Pages","\u002Fcsharp\u002Faspnet\u002Frazor-pages\u002Fproject-task-manager","01.csharp\u002F11.aspnet\u002F10.razor-pages\u002F06.project-task-manager",{"title":1213,"path":1214,"stem":1215,"children":1216,"page":59},"ASP.NET Core MVC","\u002Fcsharp\u002Faspnet\u002Fmvc","01.csharp\u002F11.aspnet\u002F11.mvc",[1217,1221,1225,1229,1233,1237,1241,1245,1249,1253,1257,1261,1265,1269,1273,1277,1281,1285],{"title":1218,"path":1219,"stem":1220},"Патерн MVC: архітектура, що змінила веб","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fmvc-pattern","01.csharp\u002F11.aspnet\u002F11.mvc\u002F01.mvc-pattern",{"title":1222,"path":1223,"stem":1224},"Від Razor Pages до MVC: концептуальний перехід","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Ffrom-razor-pages","01.csharp\u002F11.aspnet\u002F11.mvc\u002F02.from-razor-pages",{"title":1226,"path":1227,"stem":1228},"Controllers та Actions: серце MVC","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fcontrollers-actions","01.csharp\u002F11.aspnet\u002F11.mvc\u002F03.controllers-actions",{"title":1230,"path":1231,"stem":1232},"Маршрутизація в MVC: Convention vs Attribute Routing","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Frouting-mvc","01.csharp\u002F11.aspnet\u002F11.mvc\u002F04.routing-mvc",{"title":1234,"path":1235,"stem":1236},"Model Binding: від HTTP до C#","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fmodel-binding","01.csharp\u002F11.aspnet\u002F11.mvc\u002F05.model-binding",{"title":1238,"path":1239,"stem":1240},"Views, ViewData, ViewBag, TempData і ViewModel","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fviews-viewdata-tempdata","01.csharp\u002F11.aspnet\u002F11.mvc\u002F06.views-viewdata-tempdata",{"title":1242,"path":1243,"stem":1244},"Filters: аспектно-орієнтоване програмування в MVC","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Ffilters","01.csharp\u002F11.aspnet\u002F11.mvc\u002F07.filters",{"title":1246,"path":1247,"stem":1248},"Areas: структурування великих застосунків","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fareas","01.csharp\u002F11.aspnet\u002F11.mvc\u002F08.areas",{"title":1250,"path":1251,"stem":1252},"View Components: повторювані незалежні блоки UI","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fview-components","01.csharp\u002F11.aspnet\u002F11.mvc\u002F09.view-components",{"title":1254,"path":1255,"stem":1256},"Display та Editor Templates","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fdisplay-editor-templates","01.csharp\u002F11.aspnet\u002F11.mvc\u002F10.display-editor-templates",{"title":1258,"path":1259,"stem":1260},"Валідація: IValidatableObject та FluentValidation","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fvalidation-advanced","01.csharp\u002F11.aspnet\u002F11.mvc\u002F11.validation-advanced",{"title":1262,"path":1263,"stem":1264},"HTMX: інтерактивність через HTML-атрибути","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fhtmx","01.csharp\u002F11.aspnet\u002F11.mvc\u002F12.htmx",{"title":1266,"path":1267,"stem":1268},"HTMX у ASP.NET Core MVC: серверна інтеграція","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fajax-htmx-mvc","01.csharp\u002F11.aspnet\u002F11.mvc\u002F13.ajax-htmx-mvc",{"title":1270,"path":1271,"stem":1272},"Практичний проєкт: Каталог товарів з HTMX","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fhtmx-project","01.csharp\u002F11.aspnet\u002F11.mvc\u002F14.htmx-project",{"title":1274,"path":1275,"stem":1276},"Завантаження та обробка файлів","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Ffile-upload","01.csharp\u002F11.aspnet\u002F11.mvc\u002F15.file-upload",{"title":1278,"path":1279,"stem":1280},"Глобалізація та Локалізація MVC","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fglobalization-localization","01.csharp\u002F11.aspnet\u002F11.mvc\u002F16.globalization-localization",{"title":1282,"path":1283,"stem":1284},"Підсумковий проєкт: Блог-платформа","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fmvc-project","01.csharp\u002F11.aspnet\u002F11.mvc\u002F17.mvc-project",{"title":1286,"path":1287,"stem":1288},"План курсу: ASP.NET Core MVC","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fplan","01.csharp\u002F11.aspnet\u002F11.mvc\u002Fplan",{"title":1290,"path":1291,"stem":1292,"children":1293,"page":59},"Web Api","\u002Fcsharp\u002Faspnet\u002Fweb-api","01.csharp\u002F11.aspnet\u002F12.web-api",[1294,1298,1302,1306,1310,1314,1318,1322,1326,1330,1334,1338,1342],{"title":1295,"path":1296,"stem":1297},"Від Minimal API до Controller-based API","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Ffrom-minimal-api-to-controllers","01.csharp\u002F11.aspnet\u002F12.web-api\u002F01.from-minimal-api-to-controllers",{"title":1299,"path":1300,"stem":1301},"ControllerBase, ActionResult\u003CT> та Response Types","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fcontroller-base-actionresult","01.csharp\u002F11.aspnet\u002F12.web-api\u002F02.controller-base-actionresult",{"title":1303,"path":1304,"stem":1305},"Content Negotiation - JSON, XML та власні форматери","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fcontent-negotiation","01.csharp\u002F11.aspnet\u002F12.web-api\u002F03.content-negotiation",{"title":1307,"path":1308,"stem":1309},"Версіонування API","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fapi-versioning","01.csharp\u002F11.aspnet\u002F12.web-api\u002F04.api-versioning",{"title":1311,"path":1312,"stem":1313},"ProblemDetails та структурована обробка помилок","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fproblemdetails-error-handling","01.csharp\u002F11.aspnet\u002F12.web-api\u002F05.problemdetails-error-handling",{"title":1315,"path":1316,"stem":1317},"Фільтри у Web API контексті","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Ffilters-for-api","01.csharp\u002F11.aspnet\u002F12.web-api\u002F06.filters-for-api",{"title":1319,"path":1320,"stem":1321},"Пагінація, фільтрація та сортування","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fpagination-filtering-sorting","01.csharp\u002F11.aspnet\u002F12.web-api\u002F07.pagination-filtering-sorting",{"title":1323,"path":1324,"stem":1325},"HATEOAS та Resource Expansion","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fhateoas-resource-expansion","01.csharp\u002F11.aspnet\u002F12.web-api\u002F08.hateoas-resource-expansion",{"title":1327,"path":1328,"stem":1329},"Гібридна архітектура - Minimal API + Controllers","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fminimal-api-vs-controllers-hybrid","01.csharp\u002F11.aspnet\u002F12.web-api\u002F09.minimal-api-vs-controllers-hybrid",{"title":1331,"path":1332,"stem":1333},"Документація API - Swashbuckle, NSwag та генерація клієнтів","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fapi-documentation-generation","01.csharp\u002F11.aspnet\u002F12.web-api\u002F10.api-documentation-generation",{"title":1335,"path":1336,"stem":1337},"Health Checks та моніторинг API","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fhealth-checks-monitoring","01.csharp\u002F11.aspnet\u002F12.web-api\u002F11.health-checks-monitoring",{"title":1339,"path":1340,"stem":1341},"Підсумковий проєкт - Production-Ready REST API","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fweb-api-project","01.csharp\u002F11.aspnet\u002F12.web-api\u002F12.web-api-project",{"title":1343,"path":1344,"stem":1345},"План курсу: ASP.NET Core Web API (Controllers)","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fplan","01.csharp\u002F11.aspnet\u002F12.web-api\u002Fplan",{"title":1347,"icon":1348,"path":1349,"stem":1350,"children":1351,"page":59},"Моніторинг","i-lucide-activity","\u002Fcsharp\u002Faspnet\u002Fmonitoring","01.csharp\u002F11.aspnet\u002F13.monitoring",[1352,1356,1360],{"title":1353,"path":1354,"stem":1355},"Спостережуваність: від console.log до production-систем","\u002Fcsharp\u002Faspnet\u002Fmonitoring\u002Fobservability-intro","01.csharp\u002F11.aspnet\u002F13.monitoring\u002F01.observability-intro",{"title":1357,"path":1358,"stem":1359},"Health Checks: перший рівень observability","\u002Fcsharp\u002Faspnet\u002Fmonitoring\u002Fhealth-checks","01.csharp\u002F11.aspnet\u002F13.monitoring\u002F02.health-checks",{"title":1361,"path":1362,"stem":1363},"Вбудовані метрики .NET 10 та System.Diagnostics.Metrics","\u002Fcsharp\u002Faspnet\u002Fmonitoring\u002Fdotnet-metrics","01.csharp\u002F11.aspnet\u002F13.monitoring\u002F03.dotnet-metrics",{"title":1365,"icon":1366,"path":1367,"stem":1368,"children":1369,"page":59},"Desktop UI","i-lucide-app-window","\u002Fcsharp\u002Fdesktop-ui","01.csharp\u002F12.desktop-ui",[1370,1374,1378,1382,1386,1390,1394,1398,1402,1406,1410,1414,1418,1422,1426,1430,1434,1438,1442,1446,1450,1454,1458,1462,1466,1470,1474,1478,1482,1486,1490,1494,1498,1502,1506,1510,1514,1518,1522,1526,1530,1534,1538,1542,1546,1550,1554,1558,1562,1566,1570,1574,1578,1582,1586,1590,1594,1598,1602,1606,1610,1614,1618,1622,1626,1630,1634,1638,1642,1646,1650],{"title":1371,"path":1372,"stem":1373},"Що таке десктопна розробка?","\u002Fcsharp\u002Fdesktop-ui\u002Fwhat-is-desktop-dev","01.csharp\u002F12.desktop-ui\u002F01.what-is-desktop-dev",{"title":1375,"path":1376,"stem":1377},"Архітектура WPF — як влаштований графічний інтерфейс","\u002Fcsharp\u002Fdesktop-ui\u002Fwpf-architecture","01.csharp\u002F12.desktop-ui\u002F02.wpf-architecture",{"title":1379,"path":1380,"stem":1381},"Перший WPF-проєкт — від нуля до вікна","\u002Fcsharp\u002Fdesktop-ui\u002Ffirst-wpf-app","01.csharp\u002F12.desktop-ui\u002F03.first-wpf-app",{"title":1383,"path":1384,"stem":1385},"Перший Avalonia-проєкт: WPF для всіх платформ","\u002Fcsharp\u002Fdesktop-ui\u002F03a.first-avalonia-app","01.csharp\u002F12.desktop-ui\u002F03a.first-avalonia-app",{"title":1387,"path":1388,"stem":1389},"XAML: декларативний інтерфейс","\u002Fcsharp\u002Fdesktop-ui\u002Fxaml-basics","01.csharp\u002F12.desktop-ui\u002F04.xaml-basics",{"title":1391,"path":1392,"stem":1393},"Fluent UI у WPF — сучасний дизайн Windows 11","\u002Fcsharp\u002Fdesktop-ui\u002F04a.wpf-fluent-ui","01.csharp\u002F12.desktop-ui\u002F04a.wpf-fluent-ui",{"title":1395,"path":1396,"stem":1397},"WPF UI — сучасна бібліотека Fluent контролів","\u002Fcsharp\u002Fdesktop-ui\u002F04b.wpf-ui-library","01.csharp\u002F12.desktop-ui\u002F04b.wpf-ui-library",{"title":1399,"path":1400,"stem":1401},"HandyControl — велика бібліотека UI контролів для WPF","\u002Fcsharp\u002Fdesktop-ui\u002F04c.handycontrol-library","01.csharp\u002F12.desktop-ui\u002F04c.handycontrol-library",{"title":1403,"path":1404,"stem":1405},"Простори імен та ресурси XAML","\u002Fcsharp\u002Fdesktop-ui\u002Fxaml-namespaces-resources","01.csharp\u002F12.desktop-ui\u002F05.xaml-namespaces-resources",{"title":1407,"path":1408,"stem":1409},"XAML в Avalonia: ключові відмінності від WPF","\u002Fcsharp\u002Fdesktop-ui\u002F05a.avalonia-xaml-differences","01.csharp\u002F12.desktop-ui\u002F05a.avalonia-xaml-differences",{"title":1411,"path":1412,"stem":1413},"Розширення розмітки XAML (Markup Extensions)","\u002Fcsharp\u002Fdesktop-ui\u002Fxaml-markup-extensions","01.csharp\u002F12.desktop-ui\u002F06.xaml-markup-extensions",{"title":1415,"path":1416,"stem":1417},"Панелі Layout: StackPanel, WrapPanel, DockPanel","\u002Fcsharp\u002Fdesktop-ui\u002Flayout-panels-part1","01.csharp\u002F12.desktop-ui\u002F07.layout-panels-part1",{"title":1419,"path":1420,"stem":1421},"Grid, Canvas, UniformGrid","\u002Fcsharp\u002Fdesktop-ui\u002Flayout-panels-part2","01.csharp\u002F12.desktop-ui\u002F07.layout-panels-part2",{"title":1423,"path":1424,"stem":1425},"Просунуті техніки Layout","\u002Fcsharp\u002Fdesktop-ui\u002Flayout-advanced","01.csharp\u002F12.desktop-ui\u002F08.layout-advanced",{"title":1427,"path":1428,"stem":1429},"Адаптивний Layout та найкращі практики","\u002Fcsharp\u002Fdesktop-ui\u002Flayout-responsive","01.csharp\u002F12.desktop-ui\u002F09.layout-responsive",{"title":1431,"path":1432,"stem":1433},"Layout в Avalonia: відмінності та нові можливості","\u002Fcsharp\u002Fdesktop-ui\u002F09a.layout-avalonia","01.csharp\u002F12.desktop-ui\u002F09a.layout-avalonia",{"title":1435,"path":1436,"stem":1437},"Button, Image, ProgressBar та інші базові контроли","\u002Fcsharp\u002Fdesktop-ui\u002Fbasic-controls","01.csharp\u002F12.desktop-ui\u002F10.basic-controls",{"title":1439,"path":1440,"stem":1441},"Контроли в Avalonia: відмінності від WPF","\u002Fcsharp\u002Fdesktop-ui\u002F10a.controls-avalonia","01.csharp\u002F12.desktop-ui\u002F10a.controls-avalonia",{"title":1443,"path":1444,"stem":1445},"Текстові контроли — TextBlock, TextBox, RichTextBox","\u002Fcsharp\u002Fdesktop-ui\u002Ftext-controls","01.csharp\u002F12.desktop-ui\u002F11.text-controls",{"title":1447,"path":1448,"stem":1449},"Контроли вибору — CheckBox, RadioButton, ComboBox, ListBox, DatePicker","\u002Fcsharp\u002Fdesktop-ui\u002Fselection-controls","01.csharp\u002F12.desktop-ui\u002F12.selection-controls",{"title":1451,"path":1452,"stem":1453},"Content Model — GroupBox, Expander, TabControl, StatusBar","\u002Fcsharp\u002Fdesktop-ui\u002Fcontent-controls","01.csharp\u002F12.desktop-ui\u002F13.content-controls",{"title":1455,"path":1456,"stem":1457},"UI\u002FUX принципи десктопних застосунків","\u002Fcsharp\u002Fdesktop-ui\u002F13a.ui-ux-principles","01.csharp\u002F12.desktop-ui\u002F13a.ui-ux-principles",{"title":1459,"path":1460,"stem":1461},"Dependency Properties — Концепція та Value Resolution","\u002Fcsharp\u002Fdesktop-ui\u002Fdependency-properties-part1","01.csharp\u002F12.desktop-ui\u002F14.dependency-properties-part1",{"title":1463,"path":1464,"stem":1465},"Avalonia Property System — StyledProperty та DirectProperty","\u002Fcsharp\u002Fdesktop-ui\u002F14a.avalonia-property-system","01.csharp\u002F12.desktop-ui\u002F14a.avalonia-property-system",{"title":1467,"path":1468,"stem":1469},"Attached Properties — Властивості без меж","\u002Fcsharp\u002Fdesktop-ui\u002Fattached-properties","01.csharp\u002F12.desktop-ui\u002F15.attached-properties",{"title":1471,"path":1472,"stem":1473},"Routed Events — Маршрутизація подій у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Frouted-events","01.csharp\u002F12.desktop-ui\u002F16.routed-events",{"title":1475,"path":1476,"stem":1477},"Data Binding — Від Code-Behind до Декларативності","\u002Fcsharp\u002Fdesktop-ui\u002Fdata-binding-basics-part1","01.csharp\u002F12.desktop-ui\u002F17.data-binding-basics-part1",{"title":1479,"path":1480,"stem":1481},"INotifyPropertyChanged — Живе оновлення UI","\u002Fcsharp\u002Fdesktop-ui\u002Fdata-binding-basics-part2","01.csharp\u002F12.desktop-ui\u002F17.data-binding-basics-part2",{"title":1483,"path":1484,"stem":1485},"Compiled Bindings в Avalonia — Безпека на етапі компіляції","\u002Fcsharp\u002Fdesktop-ui\u002F17a.avalonia-compiled-bindings","01.csharp\u002F12.desktop-ui\u002F17a.avalonia-compiled-bindings",{"title":1487,"path":1488,"stem":1489},"Просунутий Data Binding — ElementName, RelativeSource, MultiBinding","\u002Fcsharp\u002Fdesktop-ui\u002Fdata-binding-advanced","01.csharp\u002F12.desktop-ui\u002F18.data-binding-advanced",{"title":1491,"path":1492,"stem":1493},"Value Converters — Перетворення типів даних у Data Binding","\u002Fcsharp\u002Fdesktop-ui\u002Fvalue-converters","01.csharp\u002F12.desktop-ui\u002F19.value-converters",{"title":1495,"path":1496,"stem":1497},"Data Templates — Візуалізація об'єктів у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Fdata-templates","01.csharp\u002F12.desktop-ui\u002F20.data-templates",{"title":1499,"path":1500,"stem":1501},"Collections Binding Part 1 — ObservableCollection та ItemsControl","\u002Fcsharp\u002Fdesktop-ui\u002Fcollections-binding-part1","01.csharp\u002F12.desktop-ui\u002F21.collections-binding-part1",{"title":1503,"path":1504,"stem":1505},"Collections Binding Part 2 — ICollectionView, Filtering, Sorting та Virtualization","\u002Fcsharp\u002Fdesktop-ui\u002Fcollections-binding-part2","01.csharp\u002F12.desktop-ui\u002F21.collections-binding-part2",{"title":1507,"path":1508,"stem":1509},"MVVM Pattern — Від Spaghetti Code до архітектури","\u002Fcsharp\u002Fdesktop-ui\u002Fmvvm-pattern","01.csharp\u002F12.desktop-ui\u002F22.mvvm-pattern",{"title":1511,"path":1512,"stem":1513},"ViewModel Implementation — Від BaseViewModel до валідації","\u002Fcsharp\u002Fdesktop-ui\u002Fviewmodel-implementation","01.csharp\u002F12.desktop-ui\u002F23.viewmodel-implementation",{"title":1515,"path":1516,"stem":1517},"Commands — Від event handlers до декларативних команд","\u002Fcsharp\u002Fdesktop-ui\u002Fcommands","01.csharp\u002F12.desktop-ui\u002F24.commands",{"title":1519,"path":1520,"stem":1521},"MVVM Toolkit — MVVM без boilerplate через Source Generators","\u002Fcsharp\u002Fdesktop-ui\u002Fmvvm-toolkit","01.csharp\u002F12.desktop-ui\u002F25.mvvm-toolkit",{"title":1523,"path":1524,"stem":1525},"Messenger Pattern — Комунікація між ViewModel без прямих посилань","\u002Fcsharp\u002Fdesktop-ui\u002Fmessenger-pattern","01.csharp\u002F12.desktop-ui\u002F26.messenger-pattern",{"title":1527,"path":1528,"stem":1529},"Стилі WPF — CSS для десктопу","\u002Fcsharp\u002Fdesktop-ui\u002Fstyles-basics","01.csharp\u002F12.desktop-ui\u002F27.styles-basics",{"title":1531,"path":1532,"stem":1533},"CSS-like стилі Avalonia","\u002Fcsharp\u002Fdesktop-ui\u002F27a.avalonia-css-styling","01.csharp\u002F12.desktop-ui\u002F27a.avalonia-css-styling",{"title":1535,"path":1536,"stem":1537},"Control Templates — Частина 1. Концепція та TemplateBinding","\u002Fcsharp\u002Fdesktop-ui\u002Fcontrol-templates-part1","01.csharp\u002F12.desktop-ui\u002F28.control-templates-part1",{"title":1539,"path":1540,"stem":1541},"Control Templates — Частина 2. Named Parts та ContentPresenter","\u002Fcsharp\u002Fdesktop-ui\u002Fcontrol-templates-part2","01.csharp\u002F12.desktop-ui\u002F28.control-templates-part2",{"title":1543,"path":1544,"stem":1545},"Control Themes в Avalonia — нова ера стилізації","\u002Fcsharp\u002Fdesktop-ui\u002F28a.avalonia-control-themes","01.csharp\u002F12.desktop-ui\u002F28a.avalonia-control-themes",{"title":1547,"path":1548,"stem":1549},"Triggers та Visual State Manager у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Ftriggers-visual-states","01.csharp\u002F12.desktop-ui\u002F29.triggers-visual-states",{"title":1551,"path":1552,"stem":1553},"Pseudo-classes в Avalonia — замість WPF Triggers","\u002Fcsharp\u002Fdesktop-ui\u002F29a.avalonia-pseudo-classes","01.csharp\u002F12.desktop-ui\u002F29a.avalonia-pseudo-classes",{"title":1555,"path":1556,"stem":1557},"Теми та ресурсні словники у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Fresources-themes","01.csharp\u002F12.desktop-ui\u002F30.resources-themes",{"title":1559,"path":1560,"stem":1561},"Avalonia Themes — Fluent Design та система тематизації","\u002Fcsharp\u002Fdesktop-ui\u002F30a.avalonia-themes-fluent","01.csharp\u002F12.desktop-ui\u002F30a.avalonia-themes-fluent",{"title":1563,"path":1564,"stem":1565},"Контроли колекцій — глибоке занурення","\u002Fcsharp\u002Fdesktop-ui\u002Fcollection-controls","01.csharp\u002F12.desktop-ui\u002F31.collection-controls",{"title":1567,"path":1568,"stem":1569},"DataGrid — колонки та базове відображення","\u002Fcsharp\u002Fdesktop-ui\u002Fdatagrid-part1","01.csharp\u002F12.desktop-ui\u002F32.datagrid-part1",{"title":1571,"path":1572,"stem":1573},"DataGrid — сортування, фільтрація, редагування","\u002Fcsharp\u002Fdesktop-ui\u002Fdatagrid-part2","01.csharp\u002F12.desktop-ui\u002F32.datagrid-part2",{"title":1575,"path":1576,"stem":1577},"TreeView та GridView","\u002Fcsharp\u002Fdesktop-ui\u002Ftreeview-listview","01.csharp\u002F12.desktop-ui\u002F33.treeview-listview",{"title":1579,"path":1580,"stem":1581},"Меню, Toolbar, ContextMenu, StatusBar","\u002Fcsharp\u002Fdesktop-ui\u002Fmenus-toolbars","01.csharp\u002F12.desktop-ui\u002F34.menus-toolbars",{"title":1583,"path":1584,"stem":1585},"Навігація та керування вікнами. Частина 1: вікна та сторінки","\u002Fcsharp\u002Fdesktop-ui\u002Fnavigation-windows-part1","01.csharp\u002F12.desktop-ui\u002F35.navigation-windows-part1",{"title":1587,"path":1588,"stem":1589},"Навігація та керування вікнами. Частина 2: MVVM-навігація","\u002Fcsharp\u002Fdesktop-ui\u002Fnavigation-windows-part2","01.csharp\u002F12.desktop-ui\u002F35.navigation-windows-part2",{"title":1591,"path":1592,"stem":1593},"Avalonia — Навігація та діалоги","\u002Fcsharp\u002Fdesktop-ui\u002F35a.avalonia-navigation-dialogs","01.csharp\u002F12.desktop-ui\u002F35a.avalonia-navigation-dialogs",{"title":1595,"path":1596,"stem":1597},"Діалоги та File Pickers у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Fdialogs-file-pickers","01.csharp\u002F12.desktop-ui\u002F36.dialogs-file-pickers",{"title":1599,"path":1600,"stem":1601},"UserControl: компонентний підхід у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Fuser-controls","01.csharp\u002F12.desktop-ui\u002F37.user-controls",{"title":1603,"path":1604,"stem":1605},"Custom Controls: Lookless Controls у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Fcustom-controls","01.csharp\u002F12.desktop-ui\u002F38.custom-controls",{"title":1607,"path":1608,"stem":1609},"Avalonia TemplatedControl — Lookless Controls","\u002Fcsharp\u002Fdesktop-ui\u002F38a.avalonia-templated-controls","01.csharp\u002F12.desktop-ui\u002F38a.avalonia-templated-controls",{"title":1611,"path":1612,"stem":1613},"Анімації у WPF: Storyboard та Easing Functions","\u002Fcsharp\u002Fdesktop-ui\u002Fanimations-transitions","01.csharp\u002F12.desktop-ui\u002F39.animations-transitions",{"title":1615,"path":1616,"stem":1617},"Анімації в Avalonia","\u002Fcsharp\u002Fdesktop-ui\u002F39a.avalonia-animations","01.csharp\u002F12.desktop-ui\u002F39a.avalonia-animations",{"title":1619,"path":1620,"stem":1621},"2D Графіка та Мультимедіа у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Fmedia-graphics","01.csharp\u002F12.desktop-ui\u002F40.media-graphics",{"title":1623,"path":1624,"stem":1625},"Dependency Injection у WPF та Avalonia","\u002Fcsharp\u002Fdesktop-ui\u002Fdi-integration","01.csharp\u002F12.desktop-ui\u002F41.di-integration",{"title":1627,"path":1628,"stem":1629},"SQLite та EF Core у десктопних додатках","\u002Fcsharp\u002Fdesktop-ui\u002Fdata-persistence-part1","01.csharp\u002F12.desktop-ui\u002F42.data-persistence-part1",{"title":1631,"path":1632,"stem":1633},"Repository Pattern та Unit of Work","\u002Fcsharp\u002Fdesktop-ui\u002Fdata-persistence-part2","01.csharp\u002F12.desktop-ui\u002F43.data-persistence-part2",{"title":1635,"path":1636,"stem":1637},"Тестування ViewModels","\u002Fcsharp\u002Fdesktop-ui\u002Fviewmodel-testing","01.csharp\u002F12.desktop-ui\u002F44.viewmodel-testing",{"title":1639,"path":1640,"stem":1641},"Avalonia Headless Testing — тестування UI без вікон","\u002Fcsharp\u002Fdesktop-ui\u002F44a.avalonia-headless-testing","01.csharp\u002F12.desktop-ui\u002F44a.avalonia-headless-testing",{"title":1643,"path":1644,"stem":1645},"Кросплатформна розробка з Avalonia","\u002Fcsharp\u002Fdesktop-ui\u002Favalonia-cross-platform","01.csharp\u002F12.desktop-ui\u002F45.avalonia-cross-platform",{"title":1647,"path":1648,"stem":1649},"Пакування та розгортання Avalonia додатків","\u002Fcsharp\u002Fdesktop-ui\u002Favalonia-packaging-deployment","01.csharp\u002F12.desktop-ui\u002F46.avalonia-packaging-deployment",{"title":1651,"path":1652,"stem":1653},"Розгортання WPF застосунків","\u002Fcsharp\u002Fdesktop-ui\u002Fwpf-packaging-deployment","01.csharp\u002F12.desktop-ui\u002F47.wpf-packaging-deployment",{"title":1655,"icon":658,"path":1656,"stem":1657,"children":1658,"page":59},"Network Programming","\u002Fcsharp\u002Fnetwork-programming","01.csharp\u002F13.network-programming",[1659,1663,1667,1671,1675,1679,1683,1687,1691,1695,1699],{"title":1660,"path":1661,"stem":1662},"Основи комп'ютерних мереж","\u002Fcsharp\u002Fnetwork-programming\u002Ffoundations","01.csharp\u002F13.network-programming\u002F01.foundations",{"title":1664,"path":1665,"stem":1666},"Модель OSI та стек TCP\u002FIP","\u002Fcsharp\u002Fnetwork-programming\u002Fosi-model","01.csharp\u002F13.network-programming\u002F02.osi-model",{"title":1668,"path":1669,"stem":1670},"IP-протокол та адресація","\u002Fcsharp\u002Fnetwork-programming\u002Fip-addressing","01.csharp\u002F13.network-programming\u002F03.ip-addressing",{"title":1672,"path":1673,"stem":1674},"UDP — протокол без з'єднання","\u002Fcsharp\u002Fnetwork-programming\u002Fudp","01.csharp\u002F13.network-programming\u002F05.udp",{"title":1676,"path":1677,"stem":1678},"UDP Broadcast та Multicast","\u002Fcsharp\u002Fnetwork-programming\u002Fudp-broadcast-multicast","01.csharp\u002F13.network-programming\u002F06.udp-broadcast-multicast",{"title":1680,"path":1681,"stem":1682},"HTTP — протокол вебу","\u002Fcsharp\u002Fnetwork-programming\u002Fhttp-fundamentals","01.csharp\u002F13.network-programming\u002F07.http-fundamentals",{"title":1684,"path":1685,"stem":1686},"HttpListener — вбудований HTTP-сервер .NET","\u002Fcsharp\u002Fnetwork-programming\u002F07a.http-listener","01.csharp\u002F13.network-programming\u002F07a.http-listener",{"title":1688,"path":1689,"stem":1690},"HTTP Advanced — cookies, аутентифікація та HTTPS","\u002Fcsharp\u002Fnetwork-programming\u002Fhttp-advanced","01.csharp\u002F13.network-programming\u002F08.http-advanced",{"title":1692,"path":1693,"stem":1694},"SMTP та протоколи електронної пошти","\u002Fcsharp\u002Fnetwork-programming\u002Fsmtp","01.csharp\u002F13.network-programming\u002F09.smtp",{"title":1696,"path":1697,"stem":1698},"WebSocket — повнодуплексний протокол реального часу","\u002Fcsharp\u002Fnetwork-programming\u002Fwebsockets","01.csharp\u002F13.network-programming\u002F10.websockets",{"title":1700,"path":1701,"stem":1702},"TLS\u002FSSL — криптографічний захист мережевих з'єднань","\u002Fcsharp\u002Fnetwork-programming\u002Ftls-ssl","01.csharp\u002F13.network-programming\u002F11.tls-ssl",{"title":1704,"path":1705,"stem":1706},"C# & .NET: The Ultimate Roadmap","\u002Fcsharp\u002Froadmap","01.csharp\u002Froadmap",{"title":1708,"icon":1709,"path":1710,"stem":1711,"children":1712,"page":59},"C++","i-devicon-cplusplus","\u002Fcpp","02.cpp",[1713,1717,1721,1725,1729,1733,1737,1741,1745,1748,1752,1756,1760,1764,1768,1772,1776,1780,1784,1788,1792,1796,1800,1804,1808,1812,1816,1820,1824,1828,1832,1836,1840,1844,1848,1852,1856,1860,1864,1868,1872,1876,1880,1884,1888,1892,1896,1900,1904,1908,1912,1916,1920,1924,1928,1932,1936,1940,1944,1948,1952,1956,1960,1964,1968,1972,1976,1980,1984,1988,1992,1996,2000,2004,2008,2012,2016,2020,2024,2028,2032,2036,2040,2044,2048,2052,2056,2060,2064,2068,2072,2076,2080,2084,2088,2092,2096],{"title":1714,"path":1715,"stem":1716},"Вступ у програмування та алгоритми","\u002Fcpp\u002Fintro-algorithms","02.cpp\u002F01.intro-algorithms",{"title":1718,"path":1719,"stem":1720},"Code Style: угоди про оформлення коду","\u002Fcpp\u002Fcode-style","02.cpp\u002F02.code-style",{"title":1722,"path":1723,"stem":1724},"Середовище розробки та перший проєкт","\u002Fcpp\u002Fide-setup","02.cpp\u002F03.ide-setup",{"title":1726,"path":1727,"stem":1728},"Вивід даних на екран","\u002Fcpp\u002Fdata-output","02.cpp\u002F04.data-output",{"title":1730,"path":1731,"stem":1732},"Типи даних, змінні та константи","\u002Fcpp\u002Fdata-types-variables","02.cpp\u002F05.data-types-variables",{"title":1734,"path":1735,"stem":1736},"Ввід даних з клавіатури","\u002Fcpp\u002Fdata-input","02.cpp\u002F06.data-input",{"title":1738,"path":1739,"stem":1740},"Оператори, перетворення типів та логічні операції","\u002Fcpp\u002Foperators-type-conversion","02.cpp\u002F07.operators-type-conversion",{"title":1742,"path":1743,"stem":1744},"Цикли","\u002Fcpp\u002Floops","02.cpp\u002F08.loops",{"title":32,"path":1746,"stem":1747},"\u002Fcpp\u002Farrays","02.cpp\u002F09.arrays",{"title":1749,"path":1750,"stem":1751},"Алгоритми сортування та аналіз складності","\u002Fcpp\u002Fsorting","02.cpp\u002F10.sorting",{"title":1753,"path":1754,"stem":1755},"Алгоритми пошуку","\u002Fcpp\u002Fsearching","02.cpp\u002F11.searching",{"title":1757,"path":1758,"stem":1759},"Функції: основи","\u002Fcpp\u002Ffunctions-basics","02.cpp\u002F12.functions-basics",{"title":1761,"path":1762,"stem":1763},"Функції: прототипи, область видимості та додаткові можливості","\u002Fcpp\u002Ffunctions-scope","02.cpp\u002F13.functions-scope",{"title":1765,"path":1766,"stem":1767},"Функції: перевантаження та шаблони","\u002Fcpp\u002Ffunctions-overloading-templates","02.cpp\u002F14.functions-overloading-templates",{"title":1769,"path":1770,"stem":1771},"Вказівники: основи","\u002Fcpp\u002Fpointers-basics","02.cpp\u002F15.pointers-basics",{"title":1773,"path":1774,"stem":1775},"Посилання (References)","\u002Fcpp\u002Freferences","02.cpp\u002F16.references",{"title":1777,"path":1778,"stem":1779},"Вказівники, const і масиви","\u002Fcpp\u002Fpointers-const-arrays","02.cpp\u002F17.pointers-const-arrays",{"title":1781,"path":1782,"stem":1783},"Адресна арифметика","\u002Fcpp\u002Fpointer-arithmetic","02.cpp\u002F18.pointer-arithmetic",{"title":1785,"path":1786,"stem":1787},"Динамічна пам'ять","\u002Fcpp\u002Fdynamic-memory","02.cpp\u002F19.dynamic-memory",{"title":1789,"path":1790,"stem":1791},"Вказівники типу void","\u002Fcpp\u002Fvoid-pointers","02.cpp\u002F20.void-pointers",{"title":1793,"path":1794,"stem":1795},"Вказівники на вказівники","\u002Fcpp\u002Fpointers-to-pointers","02.cpp\u002F21.pointers-to-pointers",{"title":1797,"path":1798,"stem":1799},"Оператор доступу до членів через вказівник (->)","\u002Fcpp\u002Fmember-access-operator","02.cpp\u002F22.member-access-operator",{"title":1801,"path":1802,"stem":1803},"Цикл for-each (Range-based for)","\u002Fcpp\u002Fforeach-loop","02.cpp\u002F23.foreach-loop",{"title":1805,"path":1806,"stem":1807},"Вказівники на функції","\u002Fcpp\u002Ffunction-pointers","02.cpp\u002F24.function-pointers",{"title":1809,"path":1810,"stem":1811},"Лямбда-вирази","\u002Fcpp\u002Flambdas","02.cpp\u002F25.lambdas",{"title":1813,"path":1814,"stem":1815},"Лямбда-захоплення","\u002Fcpp\u002Flambda-captures","02.cpp\u002F26.lambda-captures",{"title":1817,"path":1818,"stem":1819},"Еліпсис","\u002Fcpp\u002Fellipsis","02.cpp\u002F27.ellipsis",{"title":1821,"path":1822,"stem":1823},"Безпечні альтернативи еліпсису","\u002Fcpp\u002F27a.ellipsis","02.cpp\u002F27a.ellipsis",{"title":1825,"path":1826,"stem":1827},"Аргументи командного рядка","\u002Fcpp\u002Fcommand-line-arguments","02.cpp\u002F28.command-line-arguments",{"title":1829,"path":1830,"stem":1831},"Перерахування (enum)","\u002Fcpp\u002Fenum","02.cpp\u002F29.enum",{"title":1833,"path":1834,"stem":1835},"Класи-перерахування (enum class)","\u002Fcpp\u002Fenum-class","02.cpp\u002F30.enum-class",{"title":1837,"path":1838,"stem":1839},"Псевдоніми типів (typedef і using)","\u002Fcpp\u002Ftype-aliases","02.cpp\u002F31.type-aliases",{"title":1841,"path":1842,"stem":1843},"Системи числення та двійкова арифметика","\u002Fcpp\u002Fnumber-systems","02.cpp\u002F32.number-systems",{"title":1845,"path":1846,"stem":1847},"Структури (struct): агрегування даних","\u002Fcpp\u002Fstruct","02.cpp\u002F33.struct",{"title":1849,"path":1850,"stem":1851},"Структури у функціях","\u002Fcpp\u002Fstruct-functions","02.cpp\u002F34.struct-functions",{"title":1853,"path":1854,"stem":1855},"Масиви структур і вкладені структури","\u002Fcpp\u002Fstruct-arrays","02.cpp\u002F35.struct-arrays",{"title":1857,"path":1858,"stem":1859},"Патерни struct та межі застосування","\u002Fcpp\u002Fstruct-patterns","02.cpp\u002F36.struct-patterns",{"title":1861,"path":1862,"stem":1863},"Символи та таблиця ASCII","\u002Fcpp\u002Fascii-characters","02.cpp\u002F37.ascii-characters",{"title":1865,"path":1866,"stem":1867},"Unicode та кодування UTF","\u002Fcpp\u002Funicode-utf","02.cpp\u002F38.unicode-utf",{"title":1869,"path":1870,"stem":1871},"C-style рядки","\u002Fcpp\u002Fc-strings","02.cpp\u002F39.c-strings",{"title":1873,"path":1874,"stem":1875},"Вступ до std::string","\u002Fcpp\u002Fstd-string-intro","02.cpp\u002F40.std-string-intro",{"title":1877,"path":1878,"stem":1879},"Довжина, ємність та доступ до символів std::string","\u002Fcpp\u002Fstd-string-capacity-access","02.cpp\u002F41.std-string-capacity-access",{"title":1881,"path":1882,"stem":1883},"Модифікація std::string: присвоювання, додавання, вставка, видалення та заміна","\u002Fcpp\u002Fstd-string-modification","02.cpp\u002F42.std-string-modification",{"title":1885,"path":1886,"stem":1887},"Пошук у std::string: find, npos та практичні патерни","\u002Fcpp\u002Fstd-string-search","02.cpp\u002F43.std-string-search",{"title":1889,"path":1890,"stem":1891},"std::string_view: невласницький погляд на рядок без копіювання","\u002Fcpp\u002Fstd-string-view","02.cpp\u002F44.std-string-view",{"title":1893,"path":1894,"stem":1895},"Об'єднання (union): один блок пам'яті, кілька інтерпретацій","\u002Fcpp\u002Funion","02.cpp\u002F45.union",{"title":1897,"path":1898,"stem":1899},"Організація коду: файли, препроцесор, простори імен","\u002Fcpp\u002Fmultifile-programs","02.cpp\u002F46.multifile-programs",{"title":1901,"path":1902,"stem":1903},"Робота з файлами: C-стиль (stdio.h)","\u002Fcpp\u002Fc-style-files","02.cpp\u002F47.c-style-files",{"title":1905,"path":1906,"stem":1907},"Робота з файлами: C++-стиль (fstream)","\u002Fcpp\u002Fcpp-style-files","02.cpp\u002F48.cpp-style-files",{"title":1909,"path":1910,"stem":1911},"Введення в ООП: від процедур до об'єктів","\u002Fcpp\u002Foop-intro","02.cpp\u002F49.oop-intro",{"title":1913,"path":1914,"stem":1915},"Класи, об'єкти та методи","\u002Fcpp\u002Fclasses-objects-methods","02.cpp\u002F50.classes-objects-methods",{"title":1917,"path":1918,"stem":1919},"Специфікатори доступу та інкапсуляція","\u002Fcpp\u002Faccess-specifiers-encapsulation","02.cpp\u002F51.access-specifiers-encapsulation",{"title":1921,"path":1922,"stem":1923},"Конструктори: гарантована ініціалізація об'єктів","\u002Fcpp\u002Fconstructors","02.cpp\u002F52.constructors",{"title":1925,"path":1926,"stem":1927},"Списки ініціалізації та делегуючі конструктори","\u002Fcpp\u002Finit-lists-delegating","02.cpp\u002F53.init-lists-delegating",{"title":1929,"path":1930,"stem":1931},"Деструктори та ідіома RAII","\u002Fcpp\u002Fdestructors-raii","02.cpp\u002F54.destructors-raii",{"title":1933,"path":1934,"stem":1935},"Прихований покажчик this","\u002Fcpp\u002Fthis-pointer","02.cpp\u002F55.this-pointer",{"title":1937,"path":1938,"stem":1939},"Розподіл класу на заголовковий файл та файл реалізації","\u002Fcpp\u002Fclass-header-source","02.cpp\u002F56.class-header-source",{"title":1941,"path":1942,"stem":1943},"Класи та const","\u002Fcpp\u002Fconst-classes","02.cpp\u002F57.const-classes",{"title":1945,"path":1946,"stem":1947},"Статичні члени класу","\u002Fcpp\u002Fstatic-members","02.cpp\u002F58.static-members",{"title":1949,"path":1950,"stem":1951},"Конструктор копіювання та запобігання копіюванню","\u002Fcpp\u002Fcopy-constructor","02.cpp\u002F59.copy-constructor",{"title":1953,"path":1954,"stem":1955},"Дружні функції та класи","\u002Fcpp\u002Ffriend-functions-classes","02.cpp\u002F60.friend-functions-classes",{"title":1957,"path":1958,"stem":1959},"Анонімні об'єкти та вкладені типи","\u002Fcpp\u002Fanonymous-objects-nested-types","02.cpp\u002F61.anonymous-objects-nested-types",{"title":1961,"path":1962,"stem":1963},"Вимірювання часу виконання: RAII-таймер","\u002Fcpp\u002Ftiming-raii-timer","02.cpp\u002F62.timing-raii-timer",{"title":1965,"path":1966,"stem":1967},"Перевантаження операторів: основи та арифметика","\u002Fcpp\u002Foperator-overloading-basics","02.cpp\u002F63.operator-overloading-basics",{"title":1969,"path":1970,"stem":1971},"Перевантаження операторів: методи класу та спеціальні оператори","\u002Fcpp\u002Foperator-overloading-methods","02.cpp\u002F64.operator-overloading-methods",{"title":1973,"path":1974,"stem":1975},"Приведення типів, explicit та delete","\u002Fcpp\u002Ftypecast-explicit-delete","02.cpp\u002F65.typecast-explicit-delete",{"title":1977,"path":1978,"stem":1979},"Глибоке копіювання та оператор присвоювання","\u002Fcpp\u002Fdeep-copy-assignment","02.cpp\u002F66.deep-copy-assignment",{"title":1981,"path":1982,"stem":1983},"Зв'язки між об'єктами: композиція та агрегація","\u002Fcpp\u002Fcomposition-aggregation","02.cpp\u002F67.composition-aggregation",{"title":1985,"path":1986,"stem":1987},"Асоціація та залежність між об","\u002Fcpp\u002Fassociation-dependency","02.cpp\u002F68.association-dependency",{"title":1989,"path":1990,"stem":1991},"Контейнерні класи та `std::initializer_list`","\u002Fcpp\u002Fcontainer-classes-initializer-list","02.cpp\u002F69.container-classes-initializer-list",{"title":1993,"path":1994,"stem":1995},"Вступ до наслідування: базові поняття та відношення «is-a»","\u002Fcpp\u002Finheritance-intro","02.cpp\u002F70.inheritance-intro",{"title":1997,"path":1998,"stem":1999},"Конструктори, деструктори та порядок ініціалізації в ієрархіях","\u002Fcpp\u002Finheritance-constructors-destructors","02.cpp\u002F71.inheritance-constructors-destructors",{"title":2001,"path":2002,"stem":2003},"Специфікатор `protected` та види наслідування","\u002Fcpp\u002Finheritance-access-specifiers","02.cpp\u002F72.inheritance-access-specifiers",{"title":2005,"path":2006,"stem":2007},"Перевизначення методів та приховування імен","\u002Fcpp\u002Fmethod-overriding-hiding","02.cpp\u002F73.method-overriding-hiding",{"title":2009,"path":2010,"stem":2011},"Множинне наслідування та проблема ромба","\u002Fcpp\u002Fmultiple-inheritance-diamond","02.cpp\u002F74.multiple-inheritance-diamond",{"title":2013,"path":2014,"stem":2015},"Вказівники на базовий клас та віртуальні функції","\u002Fcpp\u002Fvirtual-functions-polymorphism","02.cpp\u002F75.virtual-functions-polymorphism",{"title":2017,"path":2018,"stem":2019},"Специфікатори override, final та віртуальні деструктори","\u002Fcpp\u002Foverride-final-virtual-destructors","02.cpp\u002F76.override-final-virtual-destructors",{"title":2021,"path":2022,"stem":2023},"Внутрішні механізми поліморфізму: vtable, vptr та зв'язування","\u002Fcpp\u002Fvirtual-table-binding","02.cpp\u002F77.virtual-table-binding",{"title":2025,"path":2026,"stem":2027},"Абстрактні класи та чисті віртуальні функції","\u002Fcpp\u002Fabstract-classes-interfaces","02.cpp\u002F78.abstract-classes-interfaces",{"title":2029,"path":2030,"stem":2031},"Зрізка об'єктів, віртуальне наслідування та поліморфний вивід","\u002Fcpp\u002Fslicing-virtual-base-io","02.cpp\u002F79.slicing-virtual-base-io",{"title":2033,"path":2034,"stem":2035},"Динамічне приведення типів (`dynamic_cast`) та RTTI","\u002Fcpp\u002Fdynamic-cast-rtti","02.cpp\u002F80.dynamic-cast-rtti",{"title":2037,"path":2038,"stem":2039},"Шаблони функцій: узагальнене програмування","\u002Fcpp\u002Ffunction-templates","02.cpp\u002F81.function-templates",{"title":2041,"path":2042,"stem":2043},"Шаблони класів та NTTP-параметри","\u002Fcpp\u002Fclass-templates-nttp","02.cpp\u002F82.class-templates-nttp",{"title":2045,"path":2046,"stem":2047},"Повна (явна) спеціалізація шаблонів","\u002Fcpp\u002Ffull-template-specialization","02.cpp\u002F83.full-template-specialization",{"title":2049,"path":2050,"stem":2051},"Часткова спеціалізація шаблонів класів","\u002Fcpp\u002Fpartial-template-specialization","02.cpp\u002F84.partial-template-specialization",{"title":2053,"path":2054,"stem":2055},"Механізм винятків: try, catch, throw та розкручування стеку","\u002Fcpp\u002Fexceptions-basics","02.cpp\u002F85.exceptions-basics",{"title":2057,"path":2058,"stem":2059},"Ієрархія std::exception та власні класи винятків","\u002Fcpp\u002Fexception-hierarchy-custom","02.cpp\u002F86.exception-hierarchy-custom",{"title":2061,"path":2062,"stem":2063},"Повторне генерування винятків та функціональний try-блок","\u002Fcpp\u002Frethrow-function-try","02.cpp\u002F87.rethrow-function-try",{"title":2065,"path":2066,"stem":2067},"Безпека винятків, noexcept та деструктори","\u002Fcpp\u002Fsafety-noexcept","02.cpp\u002F88.safety-noexcept",{"title":2069,"path":2070,"stem":2071},"Власні структури даних: стек та черга","\u002Fcpp\u002Fcustom-stack-queue","02.cpp\u002F89.custom-stack-queue",{"title":2073,"path":2074,"stem":2075},"Власні структури даних: однозв'язаний список","\u002Fcpp\u002Flinked-list","02.cpp\u002F90.linked-list",{"title":2077,"path":2078,"stem":2079},"Власні структури даних: бінарне дерево пошуку","\u002Fcpp\u002Fbinary-search-tree","02.cpp\u002F91.binary-search-tree",{"title":2081,"path":2082,"stem":2083},"Власні структури даних: хеш-таблиця","\u002Fcpp\u002Fhash-table","02.cpp\u002F92.hash-table",{"title":2085,"path":2086,"stem":2087},"Готові структури даних C++: послідовні контейнери STL","\u002Fcpp\u002Fstl-sequential-containers","02.cpp\u002F93.stl-sequential-containers",{"title":2089,"path":2090,"stem":2091},"Готові структури даних C++: асоціативні контейнери та адаптери","\u002Fcpp\u002Fstl-associative-adapters","02.cpp\u002F94.stl-associative-adapters",{"title":2093,"path":2094,"stem":2095},"Готові структури даних C++: ітератори та алгоритми STL","\u002Fcpp\u002Fstl-iterators-algorithms","02.cpp\u002F95.stl-iterators-algorithms",{"title":2097,"path":2098,"stem":2099},"R-value посилання та move-семантика","\u002Fcpp\u002Frvalue-references-move-semantics","02.cpp\u002F96.rvalue-references-move-semantics",{"title":2101,"icon":2102,"path":2103,"stem":2104,"children":2105,"page":59},"JavaScript","i-devicon-javascript","\u002Fjavascript","03.javascript",[2106,2132,2186,2208,2512,2550,2568],{"title":2107,"icon":2108,"path":2109,"stem":2110,"children":2111,"page":59},"Events","i-lucide-mouse-pointer-click","\u002Fjavascript\u002Fevents","03.javascript\u002F01.events",[2112,2116,2120,2124,2128],{"title":2113,"path":2114,"stem":2115},"Вступ до подій браузера","\u002Fjavascript\u002Fevents\u002Fintro","03.javascript\u002F01.events\u002F01.intro",{"title":2117,"path":2118,"stem":2119},"Бульбашковий механізм (Bubbling) та занурення (Capturing)","\u002Fjavascript\u002Fevents\u002Fbubbling-capturing","03.javascript\u002F01.events\u002F02.bubbling-capturing",{"title":2121,"path":2122,"stem":2123},"Делегування подій (Event Delegation)","\u002Fjavascript\u002Fevents\u002Fdelegate-events","03.javascript\u002F01.events\u002F03.delegate-events",{"title":2125,"path":2126,"stem":2127},"Типові дії браузера та preventDefault()","\u002Fjavascript\u002Fevents\u002Fprevent-default","03.javascript\u002F01.events\u002F04.prevent-default",{"title":2129,"path":2130,"stem":2131},"Запуск користувацьких подій (Custom Events)","\u002Fjavascript\u002Fevents\u002Fcustom-events","03.javascript\u002F01.events\u002F05.custom-events",{"title":2133,"icon":2134,"path":2135,"stem":2136,"children":2137,"page":59},"Network","i-lucide-globe","\u002Fjavascript\u002Fnetwork","03.javascript\u002F02.network",[2138,2142,2146,2150,2154,2158,2162,2166,2170,2174,2178,2182],{"title":2139,"path":2140,"stem":2141},"Fetch API - Сучасний підхід до HTTP-запитів","\u002Fjavascript\u002Fnetwork\u002F01-fetch-api","03.javascript\u002F02.network\u002F01-fetch-api",{"title":2143,"path":2144,"stem":2145},"FormData - Робота з формами та файлами","\u002Fjavascript\u002Fnetwork\u002F02-formdata","03.javascript\u002F02.network\u002F02-formdata",{"title":2147,"path":2148,"stem":2149},"Відстеження прогресу завантаження","\u002Fjavascript\u002Fnetwork\u002F03-download-progress","03.javascript\u002F02.network\u002F03-download-progress",{"title":2151,"path":2152,"stem":2153},"Переривання fetch-запитів","\u002Fjavascript\u002Fnetwork\u002F04-abort-requests","03.javascript\u002F02.network\u002F04-abort-requests",{"title":2155,"path":2156,"stem":2157},"CORS - Запити між різними джерелами","\u002Fjavascript\u002Fnetwork\u002F05-cors","03.javascript\u002F02.network\u002F05-cors",{"title":2159,"path":2160,"stem":2161},"Fetch API - Повний довідник опцій","\u002Fjavascript\u002Fnetwork\u002F06-fetch-options","03.javascript\u002F02.network\u002F06-fetch-options",{"title":2163,"path":2164,"stem":2165},"URL Objects - Робота з посиланнями","\u002Fjavascript\u002Fnetwork\u002F07-url-objects","03.javascript\u002F02.network\u002F07-url-objects",{"title":2167,"path":2168,"stem":2169},"XMLHttpRequest - AJAX та низькорівневі запити","\u002Fjavascript\u002Fnetwork\u002F08-xmlhttprequest","03.javascript\u002F02.network\u002F08-xmlhttprequest",{"title":2171,"path":2172,"stem":2173},"Відновлюване завантаження файлів","\u002Fjavascript\u002Fnetwork\u002F09-resumable-upload","03.javascript\u002F02.network\u002F09-resumable-upload",{"title":2175,"path":2176,"stem":2177},"Cookies, document.cookie та світ після \"Cookiepocalypse\"","\u002Fjavascript\u002Fnetwork\u002F10-cookies","03.javascript\u002F02.network\u002F10-cookies",{"title":2179,"path":2180,"stem":2181},"js-cookie: Керування Cookies без Болю","\u002Fjavascript\u002Fnetwork\u002F11-js-cookie","03.javascript\u002F02.network\u002F11-js-cookie",{"title":2183,"path":2184,"stem":2185},"Axios: Потужний HTTP-клієнт для JavaScript","\u002Fjavascript\u002Fnetwork\u002F12-axios","03.javascript\u002F02.network\u002F12-axios",{"title":2187,"icon":2188,"path":2189,"stem":2190,"children":2191,"page":59},"Bom","i-lucide-monitor","\u002Fjavascript\u002Fbom","03.javascript\u002F03.bom",[2192,2196,2200,2204],{"title":2193,"path":2194,"stem":2195},"LocalStorage, SessionStorage та patterns збереження даних","\u002Fjavascript\u002Fbom\u002F01-localstorage","03.javascript\u002F03.bom\u002F01-localstorage",{"title":2197,"path":2198,"stem":2199},"Location Object - Керування адресою сторінки","\u002Fjavascript\u002Fbom\u002F02-location-object","03.javascript\u002F03.bom\u002F02-location-object",{"title":2201,"path":2202,"stem":2203},"History API - Керування історією браузера","\u002Fjavascript\u002Fbom\u002F03-history-api","03.javascript\u002F03.bom\u002F03-history-api",{"title":2205,"path":2206,"stem":2207},"Navigator Object - Ідентифікація та Можливості Пристрою","\u002Fjavascript\u002Fbom\u002F04-navigator-object","03.javascript\u002F03.bom\u002F04-navigator-object",{"title":2209,"icon":2210,"path":2211,"stem":2212,"children":2213},"React","i-devicon-react","\u002Fjavascript\u002Freact","03.javascript\u002F04.react\u002Findex",[2214,2215,2219,2223,2227,2231,2294,2329,2481],{"title":2209,"path":2211,"stem":2212},{"title":2216,"path":2217,"stem":2218},"Робота з Формами в React","\u002Fjavascript\u002Freact\u002Freact-forms","03.javascript\u002F04.react\u002F01.react-forms",{"title":2220,"path":2221,"stem":2222},"React Hook Form: Професійна Робота з Формами","\u002Fjavascript\u002Freact\u002Freact-hook-form","03.javascript\u002F04.react\u002F02.react-hook-form",{"title":2224,"path":2225,"stem":2226},"React Hook Form: Глибоке Розуміння Архітектури та Оптимізації","\u002Fjavascript\u002Freact\u002Freact-hook-form-new","03.javascript\u002F04.react\u002F02.react-hook-form-new",{"title":2228,"path":2229,"stem":2230},"Axios та React: Професійна Архітектура Запитів","\u002Fjavascript\u002Freact\u002Fdata-fetching-axios","03.javascript\u002F04.react\u002F03.data-fetching-axios",{"title":2232,"icon":132,"path":2233,"stem":2234,"children":2235},"Tanstack Query","\u002Fjavascript\u002Freact\u002Ftanstack-query","03.javascript\u002F04.react\u002F04.tanstack-query\u002Findex",[2236,2238,2242,2246,2250,2254,2258,2262,2266,2270,2274,2278,2282,2286,2290],{"title":2237,"path":2233,"stem":2234},"TanStack Query: Майстерність Керування Станом Сервера",{"title":2239,"path":2240,"stem":2241},"Парадигма Server State: Чому useEffect недостатньо","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fserver-state-paradigm","03.javascript\u002F04.react\u002F04.tanstack-query\u002F01.server-state-paradigm",{"title":2243,"path":2244,"stem":2245},"Встановлення та Налаштування: Фундамент","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Finstallation-and-devtools","03.javascript\u002F04.react\u002F04.tanstack-query\u002F02.installation-and-devtools",{"title":2247,"path":2248,"stem":2249},"Основи Запитів та Магія Ключів","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fquery-basics-and-keys","03.javascript\u002F04.react\u002F04.tanstack-query\u002F03.query-basics-and-keys",{"title":2251,"path":2252,"stem":2253},"Синхронізація Даних: Життєвий Цикл Запиту","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fdata-synchronization","03.javascript\u002F04.react\u002F04.tanstack-query\u002F04.data-synchronization",{"title":2255,"path":2256,"stem":2257},"Мутації та Інвалідація: Зміна Даних","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fmutations-and-invalidation","03.javascript\u002F04.react\u002F04.tanstack-query\u002F05.mutations-and-invalidation",{"title":2259,"path":2260,"stem":2261},"Оптимістичні Оновлення: Швидше за Світло","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Foptimistic-updates","03.javascript\u002F04.react\u002F04.tanstack-query\u002F06.optimistic-updates",{"title":2263,"path":2264,"stem":2265},"Пагінація та Infinite Scroll","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fpagination-and-load-more","03.javascript\u002F04.react\u002F04.tanstack-query\u002F07.pagination-and-load-more",{"title":2267,"path":2268,"stem":2269},"Просунуті Патерни та Оптимізація","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fadvanced-patterns","03.javascript\u002F04.react\u002F04.tanstack-query\u002F08.advanced-patterns",{"title":2271,"path":2272,"stem":2273},"Архітектура та Best Practices","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Farchitecture-and-best-practices","03.javascript\u002F04.react\u002F04.tanstack-query\u002F09.architecture-and-best-practices",{"title":2275,"path":2276,"stem":2277},"Server-Side Rendering (SSR) та Гідратація","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fserver-side-rendering","03.javascript\u002F04.react\u002F04.tanstack-query\u002F10.server-side-rendering",{"title":2279,"path":2280,"stem":2281},"Стратегії Тестування","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Ftesting-strategies","03.javascript\u002F04.react\u002F04.tanstack-query\u002F11.testing-strategies",{"title":2283,"path":2284,"stem":2285},"Аутентифікація та Обробка Помилок","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fauthentication-and-errors","03.javascript\u002F04.react\u002F04.tanstack-query\u002F12.authentication-and-errors",{"title":2287,"path":2288,"stem":2289},"React Suspense та Майбутнє","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Freact-suspense","03.javascript\u002F04.react\u002F04.tanstack-query\u002F13.react-suspense",{"title":2291,"path":2292,"stem":2293},"Глибоке Занурення в Продуктивність","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fperformance-deep-dive","03.javascript\u002F04.react\u002F04.tanstack-query\u002F14.performance-deep-dive",{"title":2295,"icon":2210,"path":2296,"stem":2297,"children":2298},"React Router","\u002Fjavascript\u002Freact\u002Freact-router","03.javascript\u002F04.react\u002F05.react-router\u002Findex",[2299,2301,2305,2309,2313,2317,2321,2325],{"title":2300,"path":2296,"stem":2297},"React Router: Навігаційна система сучасного вебу",{"title":2302,"path":2303,"stem":2304},"Налаштування та Базовий Роутинг","\u002Fjavascript\u002Freact\u002Freact-router\u002Fsetup-and-basic-routing","03.javascript\u002F04.react\u002F05.react-router\u002F01.setup-and-basic-routing",{"title":2306,"path":2307,"stem":2308},"Динамічна Навігація","\u002Fjavascript\u002Freact\u002Freact-router\u002Fnavigation-and-links","03.javascript\u002F04.react\u002F05.react-router\u002F02.navigation-and-links",{"title":2310,"path":2311,"stem":2312},"Вкладені Маршрути та Макети","\u002Fjavascript\u002Freact\u002Freact-router\u002Fnested-routes-and-layouts","03.javascript\u002F04.react\u002F05.react-router\u002F03.nested-routes-and-layouts",{"title":2314,"path":2315,"stem":2316},"Динамічні Маршрути та Параметри","\u002Fjavascript\u002Freact\u002Freact-router\u002Fdynamic-routing","03.javascript\u002F04.react\u002F05.react-router\u002F04.dynamic-routing",{"title":2318,"path":2319,"stem":2320},"Data APIs: Loaders та Actions","\u002Fjavascript\u002Freact\u002Freact-router\u002Fdata-loading","03.javascript\u002F04.react\u002F05.react-router\u002F05.data-loading",{"title":2322,"path":2323,"stem":2324},"Просунуті Патерни","\u002Fjavascript\u002Freact\u002Freact-router\u002Fadvanced-patterns","03.javascript\u002F04.react\u002F05.react-router\u002F06.advanced-patterns",{"title":2326,"path":2327,"stem":2328},"Legacy Routing: Компонентний підхід","\u002Fjavascript\u002Freact\u002Freact-router\u002Flegacy-routing","03.javascript\u002F04.react\u002F05.react-router\u002F07.legacy-routing",{"title":2330,"icon":132,"path":2331,"stem":2332,"children":2333},"Redux","\u002Fjavascript\u002Freact\u002Fredux","03.javascript\u002F04.react\u002F06.redux\u002Findex",[2334,2336,2352,2381,2390,2411,2427,2456],{"title":2335,"path":2331,"stem":2332},"Redux: Еволюція управління станом",{"title":14,"icon":15,"path":2337,"stem":2338,"children":2339,"page":59},"\u002Fjavascript\u002Freact\u002Fredux\u002Ffundamentals","03.javascript\u002F04.react\u002F06.redux\u002F01.fundamentals",[2340,2344,2348],{"title":2341,"path":2342,"stem":2343},"Вступ до State Management","\u002Fjavascript\u002Freact\u002Fredux\u002Ffundamentals\u002Fintro-state-management","03.javascript\u002F04.react\u002F06.redux\u002F01.fundamentals\u002F01.intro-state-management",{"title":2345,"path":2346,"stem":2347},"Філософія Redux та Три Принципи","\u002Fjavascript\u002Freact\u002Fredux\u002Ffundamentals\u002Fredux-philosophy","03.javascript\u002F04.react\u002F06.redux\u002F01.fundamentals\u002F02.redux-philosophy",{"title":2349,"path":2350,"stem":2351},"Чисті функції та Іммутабельність","\u002Fjavascript\u002Freact\u002Fredux\u002Ffundamentals\u002Fpure-functions-immutability","03.javascript\u002F04.react\u002F06.redux\u002F01.fundamentals\u002F03.pure-functions-immutability",{"title":2353,"icon":132,"path":2354,"stem":2355,"children":2356,"page":59},"Classic Redux","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux",[2357,2361,2365,2369,2373,2377],{"title":2358,"path":2359,"stem":2360},"Створення Store (Classic Redux)","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux\u002Fstore-setup","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux\u002F01.store-setup",{"title":2362,"path":2363,"stem":2364},"Actions, Constants та Action Creators","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux\u002Factions-constants","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux\u002F02.actions-constants",{"title":2366,"path":2367,"stem":2368},"Логіка Reducers","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux\u002Freducers","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux\u002F03.reducers",{"title":2370,"path":2371,"stem":2372},"Комбінування Reducers (Root Reducer)","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux\u002Fdata-flow","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux\u002F04.data-flow",{"title":2374,"path":2375,"stem":2376},"Підключення до React (React-Redux)","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux\u002Freact-redux-connection","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux\u002F05.react-redux-connection",{"title":2378,"path":2379,"stem":2380},"Middleware та Асинхронність (Redux Thunk)","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux\u002Fmiddleware-thunk","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux\u002F06.middleware-thunk",{"title":2382,"icon":132,"path":2383,"stem":2384,"children":2385,"page":59},"Transition To Rtk","\u002Fjavascript\u002Freact\u002Fredux\u002Ftransition-to-rtk","03.javascript\u002F04.react\u002F06.redux\u002F03.transition-to-rtk",[2386],{"title":2387,"path":2388,"stem":2389},"Проблеми класичного Redux","\u002Fjavascript\u002Freact\u002Fredux\u002Ftransition-to-rtk\u002Fproblems-with-classic","03.javascript\u002F04.react\u002F06.redux\u002F03.transition-to-rtk\u002F01.problems-with-classic",{"title":2391,"icon":132,"path":2392,"stem":2393,"children":2394,"page":59},"Redux Toolkit","\u002Fjavascript\u002Freact\u002Fredux\u002Fredux-toolkit","03.javascript\u002F04.react\u002F06.redux\u002F04.redux-toolkit",[2395,2399,2403,2407],{"title":2396,"path":2397,"stem":2398},"Налаштування Store з configureStore","\u002Fjavascript\u002Freact\u002Fredux\u002Fredux-toolkit\u002Fconfigure-store","03.javascript\u002F04.react\u002F06.redux\u002F04.redux-toolkit\u002F01.configure-store",{"title":2400,"path":2401,"stem":2402},"createSlice: Революція в Redux","\u002Fjavascript\u002Freact\u002Fredux\u002Fredux-toolkit\u002Fcreate-slice","03.javascript\u002F04.react\u002F06.redux\u002F04.redux-toolkit\u002F02.create-slice",{"title":2404,"path":2405,"stem":2406},"Асинхронність з createAsyncThunk","\u002Fjavascript\u002Freact\u002Fredux\u002Fredux-toolkit\u002Fasync-thunks","03.javascript\u002F04.react\u002F06.redux\u002F04.redux-toolkit\u002F03.async-thunks",{"title":2408,"path":2409,"stem":2410},"04. Entity Adapter: Керування нормалізованим станом","\u002Fjavascript\u002Freact\u002Fredux\u002Fredux-toolkit\u002Fentity-adapter","03.javascript\u002F04.react\u002F06.redux\u002F04.redux-toolkit\u002F04.entity-adapter",{"title":2412,"icon":92,"path":2413,"stem":2414,"children":2415,"page":59},"Advanced","\u002Fjavascript\u002Freact\u002Fredux\u002Fadvanced","03.javascript\u002F04.react\u002F06.redux\u002F05.advanced",[2416,2420,2424],{"title":2417,"path":2418,"stem":2419},"Мемоізація та Селектори: Повний Гайд по Reselect","\u002Fjavascript\u002Freact\u002Fredux\u002Fadvanced\u002Fselectors-reselect","03.javascript\u002F04.react\u002F06.redux\u002F05.advanced\u002F01.selectors-reselect",{"title":2421,"path":2422,"stem":2423},"RTK Query: Архітектура Серверного Кешу","\u002Fjavascript\u002Freact\u002Fredux\u002Fadvanced\u002Frtk-query-intro","03.javascript\u002F04.react\u002F06.redux\u002F05.advanced\u002F02.rtk-query-intro",{"title":2271,"path":2425,"stem":2426},"\u002Fjavascript\u002Freact\u002Fredux\u002Fadvanced\u002Farchitecture-best-practices","03.javascript\u002F04.react\u002F06.redux\u002F05.advanced\u002F03.architecture-best-practices",{"title":2428,"icon":132,"path":2429,"stem":2430,"children":2431,"page":59},"Project Kanban","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban",[2432,2436,2440,2444,2448,2452],{"title":2433,"path":2434,"stem":2435},"Проєкт: Kanban Board (Trello Clone)","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban\u002Fproject-overview","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban\u002F01.project-overview",{"title":2437,"path":2438,"stem":2439},"Налаштування та Типізація","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban\u002Fsetup-and-types","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban\u002F02.setup-and-types",{"title":2441,"path":2442,"stem":2443},"Board Slice: Серце Дошки","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban\u002Fboard-slice","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban\u002F03.board-slice",{"title":2445,"path":2446,"stem":2447},"Логіка Drag & Drop","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban\u002Fdrag-and-drop-logic","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban\u002F04.drag-and-drop-logic",{"title":2449,"path":2450,"stem":2451},"Інтеграція з RTK Query","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban\u002Frtk-query-integration","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban\u002F05.rtk-query-integration",{"title":2453,"path":2454,"stem":2455},"Optimistic Updates","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban\u002Foptimistic-updates","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban\u002F06.optimistic-updates",{"title":2457,"icon":132,"path":2458,"stem":2459,"children":2460,"page":59},"Testing","\u002Fjavascript\u002Freact\u002Fredux\u002Ftesting","03.javascript\u002F04.react\u002F06.redux\u002F07.testing",[2461,2465,2469,2473,2477],{"title":2462,"path":2463,"stem":2464},"Тестування Redux","\u002Fjavascript\u002Freact\u002Fredux\u002Ftesting\u002Fintro-testing","03.javascript\u002F04.react\u002F06.redux\u002F07.testing\u002F01.intro-testing",{"title":2466,"path":2467,"stem":2468},"Тестування Reducers","\u002Fjavascript\u002Freact\u002Fredux\u002Ftesting\u002Ftesting-reducers","03.javascript\u002F04.react\u002F06.redux\u002F07.testing\u002F02.testing-reducers",{"title":2470,"path":2471,"stem":2472},"Тестування Селекторів","\u002Fjavascript\u002Freact\u002Fredux\u002Ftesting\u002Ftesting-selectors","03.javascript\u002F04.react\u002F06.redux\u002F07.testing\u002F03.testing-selectors",{"title":2474,"path":2475,"stem":2476},"Тестування Компонентів (Integration)","\u002Fjavascript\u002Freact\u002Fredux\u002Ftesting\u002Ftesting-components","03.javascript\u002F04.react\u002F06.redux\u002F07.testing\u002F04.testing-components",{"title":2478,"path":2479,"stem":2480},"Тестування Async Thunks","\u002Fjavascript\u002Freact\u002Fredux\u002Ftesting\u002Ftesting-thunks","03.javascript\u002F04.react\u002F06.redux\u002F07.testing\u002F05.testing-thunks",{"title":2482,"icon":132,"path":2483,"stem":2484,"children":2485},"Ui Libraries","\u002Fjavascript\u002Freact\u002Fui-libraries","03.javascript\u002F04.react\u002F07.ui-libraries\u002Findex",[2486,2488,2492,2496,2500,2504,2508],{"title":2487,"path":2483,"stem":2484},"UI Бібліотеки в React",{"title":2489,"path":2490,"stem":2491},"Вступ до UI Бібліотек: Навіщо Винаходити Велосипед Двічі?","\u002Fjavascript\u002Freact\u002Fui-libraries\u002Fintroduction-to-ui-libraries","03.javascript\u002F04.react\u002F07.ui-libraries\u002F01.introduction-to-ui-libraries",{"title":2493,"path":2494,"stem":2495},"Філософія shadcn\u002Fui: \"Not a Component Library\"","\u002Fjavascript\u002Freact\u002Fui-libraries\u002Fshadcn-philosophy","03.javascript\u002F04.react\u002F07.ui-libraries\u002F02.shadcn-philosophy",{"title":2497,"path":2498,"stem":2499},"Установка та Налаштування shadcn\u002Fui","\u002Fjavascript\u002Freact\u002Fui-libraries\u002Fshadcn-installation","03.javascript\u002F04.react\u002F07.ui-libraries\u002F03.shadcn-installation",{"title":2501,"path":2502,"stem":2503},"Базові Компоненти shadcn\u002Fui: Фундамент Інтерфейсу","\u002Fjavascript\u002Freact\u002Fui-libraries\u002Fshadcn-components-basics","03.javascript\u002F04.react\u002F07.ui-libraries\u002F04.shadcn-components-basics",{"title":2505,"path":2506,"stem":2507},"Компоненти Форм: Побудова Інтерактивних Form","\u002Fjavascript\u002Freact\u002Fui-libraries\u002Fshadcn-components-forms","03.javascript\u002F04.react\u002F07.ui-libraries\u002F05.shadcn-components-forms",{"title":2509,"path":2510,"stem":2511},"Складні Компоненти: Dialog, Dropdown, Table та Command","\u002Fjavascript\u002Freact\u002Fui-libraries\u002Fshadcn-components-advanced","03.javascript\u002F04.react\u002F07.ui-libraries\u002F06.shadcn-components-advanced",{"title":2513,"icon":2514,"path":2515,"stem":2516,"children":2517,"page":59},"TypeScript","i-devicon-typescript","\u002Fjavascript\u002Ftypescript","03.javascript\u002F05.typescript",[2518,2522,2526,2530,2534,2538,2542,2546],{"title":2519,"path":2520,"stem":2521},"TypeScript: Броня для вашого коду","\u002Fjavascript\u002Ftypescript\u002Fintro-and-basic-types","03.javascript\u002F05.typescript\u002F01.intro-and-basic-types",{"title":2523,"path":2524,"stem":2525},"Майстерність Моделювання Даних: Інтерфейси та Просунуті Типи","\u002Fjavascript\u002Ftypescript\u002Finterfaces-and-advanced-types","03.javascript\u002F05.typescript\u002F02.interfaces-and-advanced-types",{"title":2527,"path":2528,"stem":2529},"Алхімія Типів: Generics та Utility Types","\u002Fjavascript\u002Ftypescript\u002Fgenerics-and-utilities","03.javascript\u002F05.typescript\u002F03.generics-and-utilities",{"title":2531,"path":2532,"stem":2533},"Архітектура та Шаблони: Класи в TypeScript","\u002Fjavascript\u002Ftypescript\u002Fclasses-and-oop","03.javascript\u002F05.typescript\u002F04.classes-and-oop",{"title":2535,"path":2536,"stem":2537},"Продакшн та Екосистема: Advanced Config & Workflow","\u002Fjavascript\u002Ftypescript\u002Fadvanced-patterns-and-config","03.javascript\u002F05.typescript\u002F05.advanced-patterns-and-config",{"title":2539,"path":2540,"stem":2541},"TypeScript у світі React","\u002Fjavascript\u002Ftypescript\u002Freact-basics","03.javascript\u002F05.typescript\u002F06.react-basics",{"title":2543,"path":2544,"stem":2545},"React + TypeScript: Продвинуті патерни","\u002Fjavascript\u002Ftypescript\u002Freact-advanced","03.javascript\u002F05.typescript\u002F07.react-advanced",{"title":2547,"path":2548,"stem":2549},"React + TypeScript: Екосистема та бібліотеки","\u002Fjavascript\u002Ftypescript\u002Freact-ecosystem","03.javascript\u002F05.typescript\u002F08.react-ecosystem",{"title":2551,"icon":2552,"path":2553,"stem":2554,"children":2555,"page":59},"Асинхронність","i-lucide-refresh-cw","\u002Fjavascript\u002Fasync-programming","03.javascript\u002F06.async-programming",[2556,2560,2564],{"title":2557,"path":2558,"stem":2559},"Event Loop: серце асинхронності в JavaScript","\u002Fjavascript\u002Fasync-programming\u002Fevent-loop-fundamentals","03.javascript\u002F06.async-programming\u002F01.event-loop-fundamentals",{"title":2561,"path":2562,"stem":2563},"Task Queue та Microtask Queue: пріоритети виконання","\u002Fjavascript\u002Fasync-programming\u002Ftask-queues","03.javascript\u002F06.async-programming\u002F02.task-queues",{"title":2565,"path":2566,"stem":2567},"Асинхронні патерни: від Callbacks до Async\u002FAwait","\u002Fjavascript\u002Fasync-programming\u002Fasync-patterns","03.javascript\u002F06.async-programming\u002F03.async-patterns",{"title":2569,"path":2570,"stem":2571},"Atomic Design","\u002Fjavascript\u002Fatomic-design","03.javascript\u002F2.atomic-design",{"title":2573,"icon":2574,"path":2575,"stem":2576,"children":2577,"page":59},"Java","i-devicon-java","\u002Fjava","04.java",[2578,2581,2584,2588,2592,2596,2600],{"title":162,"path":2579,"stem":2580},"\u002Fjava\u002Fdata-mapper-part1","04.java\u002F01.data-mapper-part1",{"title":166,"path":2582,"stem":2583},"\u002Fjava\u002Fdata-mapper-part2","04.java\u002F02.data-mapper-part2",{"title":2585,"path":2586,"stem":2587},"Service Layer: Організація бізнес-логіки","\u002Fjava\u002Fservice-layer","04.java\u002F03.service-layer",{"title":2589,"path":2590,"stem":2591},"Rich Domain Model та State Pattern","\u002Fjava\u002Frich-domain-model","04.java\u002F04.rich-domain-model",{"title":2593,"path":2594,"stem":2595},"Патерни для складної бізнес-логіки","\u002Fjava\u002Fbusiness-logic-patterns","04.java\u002F05.business-logic-patterns",{"title":2597,"path":2598,"stem":2599},"Обробка помилок та валідація","\u002Fjava\u002Ferror-handling-validation","04.java\u002F06.error-handling-validation",{"title":2601,"path":2602,"stem":2603,"children":2604,"page":59},"Проектування баз даних","\u002Fjava\u002Fpr2","04.java\u002Fpr2",[2605,2609,2613,2617,2621,2625,2629,2633,2637,2641,2645,2649,2653,2657,2661,2665,2669,2673,2677,2681,2685,2689,2693,2697,2701,2705,2709,2713,2717,2721,2725,2729,2733,2737,2741,2745,2749],{"title":2606,"path":2607,"stem":2608},"Концептуальне моделювання: Мистецтво розуміння предметної області","\u002Fjava\u002Fpr2\u002Fconceptual-modeling","04.java\u002Fpr2\u002F01.conceptual-modeling",{"title":2610,"path":2611,"stem":2612},"Логічне моделювання: Від бізнес-ідей до структур даних","\u002Fjava\u002Fpr2\u002Flogical-modeling","04.java\u002Fpr2\u002F02.logical-modeling",{"title":2614,"path":2615,"stem":2616},"Нормалізація: Гігієна даних та боротьба з аномаліями","\u002Fjava\u002Fpr2\u002Fnormalization","04.java\u002Fpr2\u002F03.normalization",{"title":2618,"path":2619,"stem":2620},"Фізична схема: Від абстракції до DDL","\u002Fjava\u002Fpr2\u002Fphysical-schema","04.java\u002Fpr2\u002F04.physical-schema",{"title":2622,"path":2623,"stem":2624},"Архітектурна класифікація таблиць","\u002Fjava\u002Fpr2\u002Ftable-classification","04.java\u002Fpr2\u002F05.table-classification",{"title":2626,"path":2627,"stem":2628},"Database Migrations: Версіонування схеми з Flyway","\u002Fjava\u002Fpr2\u002Fdatabase-migrations","04.java\u002Fpr2\u002F06.database-migrations",{"title":2630,"path":2631,"stem":2632},"А що, якби це була не реляційна БД?","\u002Fjava\u002Fpr2\u002Fbeyond-relational","04.java\u002Fpr2\u002F07.beyond-relational",{"title":2634,"path":2635,"stem":2636},"Object-Relational Impedance Mismatch: Два світи, що не хочуть дружити","\u002Fjava\u002Fpr2\u002Fimpedance-mismatch","04.java\u002Fpr2\u002F09.impedance-mismatch",{"title":2638,"path":2639,"stem":2640},"JDBC: Перший контакт із базою даних","\u002Fjava\u002Fpr2\u002Fjdbc-fundamentals","04.java\u002Fpr2\u002F10.jdbc-fundamentals",{"title":2642,"path":2643,"stem":2644},"Якість коду: Spotless, SpotBugs та SonarQube","\u002Fjava\u002Fpr2\u002F10a.code-quality","04.java\u002Fpr2\u002F10a.code-quality",{"title":2646,"path":2647,"stem":2648},"Connection Pool: Патерн Object Pool для JDBC-з'єднань","\u002Fjava\u002Fpr2\u002Fconnection-pool","04.java\u002Fpr2\u002F11.connection-pool",{"title":2650,"path":2651,"stem":2652},"Row Data Gateway: Об'єкт як обгортка рядка таблиці","\u002Fjava\u002Fpr2\u002Frow-data-gateway","04.java\u002Fpr2\u002F12.row-data-gateway",{"title":2654,"path":2655,"stem":2656},"Table Data Gateway: Фасад таблиці як архітектурний відступ","\u002Fjava\u002Fpr2\u002Ftable-data-gateway","04.java\u002Fpr2\u002F13.table-data-gateway",{"title":2658,"path":2659,"stem":2660},"Repository + Data Mapper: Правильна шарова архітектура з JDBC","\u002Fjava\u002Fpr2\u002Frepository-data-mapper","04.java\u002Fpr2\u002F14.repository-data-mapper",{"title":2662,"path":2663,"stem":2664},"Identity Map: Кешування сутностей у рамках сесії","\u002Fjava\u002Fpr2\u002Fidentity-map","04.java\u002Fpr2\u002F15.identity-map",{"title":2666,"path":2667,"stem":2668},"Unit of Work: Відстеження змін і координація JDBC-транзакцій","\u002Fjava\u002Fpr2\u002Funit-of-work","04.java\u002Fpr2\u002F16.unit-of-work",{"title":2670,"path":2671,"stem":2672},"Strategy: Замінювані SQL-стратегії для підтримки різних СУБД","\u002Fjava\u002Fpr2\u002Fstrategy-sql","04.java\u002Fpr2\u002F17.strategy-sql",{"title":2674,"path":2675,"stem":2676},"Proxy: Lazy Loading для One-To-Many колекцій","\u002Fjava\u002Fpr2\u002Fproxy-lazy-loading","04.java\u002Fpr2\u002F18.proxy-lazy-loading",{"title":2678,"path":2679,"stem":2680},"Generic Repository через Java Reflection: анотації та динамічний SQL","\u002Fjava\u002Fpr2\u002Fgeneric-repository-reflection","04.java\u002Fpr2\u002F19.generic-repository-reflection",{"title":2682,"path":2683,"stem":2684},"Specification Pattern: Композиція бізнес-правил для складних запитів","\u002Fjava\u002Fpr2\u002Fspecification-pattern","04.java\u002Fpr2\u002F20.specification-pattern",{"title":2686,"path":2687,"stem":2688},"Розширені можливості Specification Pattern: підзапити, агрегації та гібридний підхід","\u002Fjava\u002Fpr2\u002F20a.advanced-specifications","04.java\u002Fpr2\u002F20a.advanced-specifications",{"title":2690,"path":2691,"stem":2692},"Асинхронність у JDBC: Від блокуючих викликів до CompletableFuture","\u002Fjava\u002Fpr2\u002Fasynchronous-jdbc","04.java\u002Fpr2\u002F21.asynchronous-jdbc",{"title":2694,"path":2695,"stem":2696},"Інтеграційне тестування JDBC-репозиторіїв: Embedded H2 та патерн AAA","\u002Fjava\u002Fpr2\u002Fintegration-testing-h2","04.java\u002Fpr2\u002F22.integration-testing-h2",{"title":2698,"path":2699,"stem":2700},"Testcontainers: Тестування з реальною PostgreSQL у Docker-контейнерах","\u002Fjava\u002Fpr2\u002Fintegration-testing-testcontainers","04.java\u002Fpr2\u002F23.integration-testing-testcontainers",{"title":2702,"path":2703,"stem":2704},"Google Guice: Впровадження залежностей у JavaFX-проєкті","\u002Fjava\u002Fpr2\u002Fdependency-injection-guice","04.java\u002Fpr2\u002F24.dependency-injection-guice",{"title":2706,"path":2707,"stem":2708},"JavaFX: Основи побудови графічних інтерфейсів","\u002Fjava\u002Fpr2\u002Fjavafx-fundamentals","04.java\u002Fpr2\u002F25.javafx-fundamentals",{"title":2710,"path":2711,"stem":2712},"Properties та Bindings: Реактивність у JavaFX","\u002Fjava\u002Fpr2\u002Fjavafx-properties-bindings","04.java\u002Fpr2\u002F26.javafx-properties-bindings",{"title":2714,"path":2715,"stem":2716},"MVC vs MVP vs MVVM: Еволюція архітектурних патернів UI","\u002Fjava\u002Fpr2\u002Fui-architecture-patterns","04.java\u002Fpr2\u002F27.ui-architecture-patterns",{"title":2718,"path":2719,"stem":2720},"MVVM на практиці: Побудова ViewModel","\u002Fjava\u002Fpr2\u002Fmvvm-viewmodel-implementation","04.java\u002Fpr2\u002F28.mvvm-viewmodel-implementation",{"title":2722,"path":2723,"stem":2724},"View та Controller: Зв'язування з ViewModel через FXML","\u002Fjava\u002Fpr2\u002Fmvvm-view-controller","04.java\u002Fpr2\u002F29.mvvm-view-controller",{"title":2726,"path":2727,"stem":2728},"Інтеграція MVVM з Guice: Автоматична ін'єкція залежностей","\u002Fjava\u002Fpr2\u002Fmvvm-guice-integration","04.java\u002Fpr2\u002F30.mvvm-guice-integration",{"title":2730,"path":2731,"stem":2732},"Валідація та обробка помилок у MVVM","\u002Fjava\u002Fpr2\u002Fmvvm-validation-error-handling","04.java\u002Fpr2\u002F31.mvvm-validation-error-handling",{"title":2734,"path":2735,"stem":2736},"Навігація та управління екранами у JavaFX MVVM","\u002Fjava\u002Fpr2\u002Fmvvm-navigation-screen-management","04.java\u002Fpr2\u002F32.mvvm-navigation-screen-management",{"title":2738,"path":2739,"stem":2740},"Тестування JavaFX MVVM-додатків","\u002Fjava\u002Fpr2\u002Fmvvm-testing","04.java\u002Fpr2\u002F33.mvvm-testing",{"title":2742,"path":2743,"stem":2744},"Стилізація та теми у JavaFX: CSS та User Experience","\u002Fjava\u002Fpr2\u002Fjavafx-styling-themes","04.java\u002Fpr2\u002F34.javafx-styling-themes",{"title":2746,"path":2747,"stem":2748},"AtlantaFX: Сучасні теми для JavaFX додатків","\u002Fjava\u002Fpr2\u002Fatlantafx-modern-themes","04.java\u002Fpr2\u002F35.atlantafx-modern-themes",{"title":2750,"path":2751,"stem":2752},"Пакування та розповсюдження JavaFX-додатків","\u002Fjava\u002Fpr2\u002Fjar-packaging-distribution","04.java\u002Fpr2\u002F36.jar-packaging-distribution",{"title":2754,"icon":2755,"path":2756,"stem":2757,"children":2758,"page":59},"Python","i-devicon-python","\u002Fpython","05.python",[2759,2763,2766,2770,2774,2778,2782,2786,2790,2794,2798,2802,2806,2810,2814,2875],{"title":2760,"path":2761,"stem":2762},"Модулі, Пакети та Віртуальні Середовища","\u002Fpython\u002Fmodules-packages-venv","05.python\u002F00.modules-packages-venv",{"title":71,"path":2764,"stem":2765},"\u002Fpython\u002Fclasses-objects","05.python\u002F01.classes-objects",{"title":2767,"path":2768,"stem":2769},"Інкапсуляція, Керування Доступом та Властивості","\u002Fpython\u002Fencapsulation","05.python\u002F02.encapsulation",{"title":2771,"path":2772,"stem":2773},"Наслідування, MRO та суперсила super()","\u002Fpython\u002Finheritance-mro","05.python\u002F03.inheritance-mro",{"title":2775,"path":2776,"stem":2777},"Абстракція — ABC проти Статичних Протоколів (PEP 544)","\u002Fpython\u002Fabstraction-protocols","05.python\u002F04.abstraction-protocols",{"title":2779,"path":2780,"stem":2781},"Магічні методи (Dunder) та Емуляція протоколів","\u002Fpython\u002Fdunder-methods","05.python\u002F05.dunder-methods",{"title":2783,"path":2784,"stem":2785},"Декоратори та Керування життєвим циклом методів","\u002Fpython\u002Fdecorators-static-class","05.python\u002F06.decorators-static-class",{"title":2787,"path":2788,"stem":2789},"Дескриптори — Магія доступу до атрибутів","\u002Fpython\u002Fdescriptors","05.python\u002F07.descriptors",{"title":2791,"path":2792,"stem":2793},"Метакласи — Динамічне створення класів під капотом CPython","\u002Fpython\u002Fmetaclasses","05.python\u002F08.metaclasses",{"title":2795,"path":2796,"stem":2797},"Dataclasses, NamedTuple та сучасні контейнери Python","\u002Fpython\u002Fmodern-containers","05.python\u002F09.modern-containers",{"title":2799,"path":2800,"stem":2801},"GIL та модель конкурентності CPython — фундамент перед потоками і процесами","\u002Fpython\u002Fgil-concurrency-intro","05.python\u002F11.gil-concurrency-intro",{"title":2803,"path":2804,"stem":2805},"Threading — конкурентність для I\u002FO-bound задач","\u002Fpython\u002Fthreading","05.python\u002F12.threading",{"title":2807,"path":2808,"stem":2809},"Multiprocessing — справжній паралелізм для CPU-bound задач","\u002Fpython\u002Fmultiprocessing","05.python\u002F13.multiprocessing",{"title":2811,"path":2812,"stem":2813},"asyncio — кооперативна конкурентність та event loop","\u002Fpython\u002Fasyncio","05.python\u002F14.asyncio",{"title":2815,"icon":92,"path":2816,"stem":2817,"children":2818,"page":59},"FastAPI","\u002Fpython\u002Ffastapi","05.python\u002Ffastapi",[2819,2823,2827,2831,2835,2839,2843,2847,2851,2855,2859,2863,2867,2871],{"title":2820,"path":2821,"stem":2822},"Глибокий Typing та Pydantic v2 — від анотацій до валідації","\u002Fpython\u002Ffastapi\u002Ftyping-pydantic","05.python\u002Ffastapi\u002F15.typing-pydantic",{"title":2824,"path":2825,"stem":2826},"WSGI, ASGI та Python Web-екосистема","\u002Fpython\u002Ffastapi\u002Fwsgi-asgi-ecosystem","05.python\u002Ffastapi\u002F16.wsgi-asgi-ecosystem",{"title":2828,"path":2829,"stem":2830},"FastAPI: Перший додаток, Uvicorn та OpenAPI","\u002Fpython\u002Ffastapi\u002Ffastapi-intro","05.python\u002Ffastapi\u002F17.fastapi-intro",{"title":2832,"path":2833,"stem":2834},"Маршрутизація, параметри запитів та APIRouter","\u002Fpython\u002Ffastapi\u002Ffastapi-routing-params","05.python\u002Ffastapi\u002F18.fastapi-routing-params",{"title":2836,"path":2837,"stem":2838},"Pydantic v2 у FastAPI — схеми, валідація та серіалізація","\u002Fpython\u002Ffastapi\u002Ffastapi-pydantic-schemas","05.python\u002Ffastapi\u002F19.fastapi-pydantic-schemas",{"title":2840,"path":2841,"stem":2842},"Dependency Injection — серце архітектури FastAPI","\u002Fpython\u002Ffastapi\u002Ffastapi-dependency-injection","05.python\u002Ffastapi\u002F20.fastapi-dependency-injection",{"title":2844,"path":2845,"stem":2846},"Обробка помилок, Middleware та CORS у FastAPI","\u002Fpython\u002Ffastapi\u002Ffastapi-errors-middleware","05.python\u002Ffastapi\u002F21.fastapi-errors-middleware",{"title":2848,"path":2849,"stem":2850},"SQLAlchemy 2.0 — ORM, Core та Async Engine","\u002Fpython\u002Ffastapi\u002Fsqlalchemy-orm","05.python\u002Ffastapi\u002F22.sqlalchemy-orm",{"title":2852,"path":2853,"stem":2854},"Alembic — міграції бази даних","\u002Fpython\u002Ffastapi\u002Falembic-migrations","05.python\u002Ffastapi\u002F23.alembic-migrations",{"title":2856,"path":2857,"stem":2858},"Repository Pattern та Clean Architecture у FastAPI","\u002Fpython\u002Ffastapi\u002Ffastapi-repository-clean-arch","05.python\u002Ffastapi\u002F24.fastapi-repository-clean-arch",{"title":2860,"path":2861,"stem":2862},"Автентифікація та авторизація — JWT, OAuth2, RBAC","\u002Fpython\u002Ffastapi\u002Ffastapi-auth-security","05.python\u002Ffastapi\u002F25.fastapi-auth-security",{"title":2864,"path":2865,"stem":2866},"Тестування FastAPI — pytest, httpx, fixtures","\u002Fpython\u002Ffastapi\u002Ffastapi-testing","05.python\u002Ffastapi\u002F26.fastapi-testing",{"title":2868,"path":2869,"stem":2870},"Async на повну — Background Tasks, WebSockets, SSE та Celery","\u002Fpython\u002Ffastapi\u002Ffastapi-async-advanced","05.python\u002Ffastapi\u002F27.fastapi-async-advanced",{"title":2872,"path":2873,"stem":2874},"Deployment — Docker, CI\u002FCD, Monitoring","\u002Fpython\u002Ffastapi\u002Ffastapi-deployment","05.python\u002Ffastapi\u002F28.fastapi-deployment",{"title":2876,"path":2877,"stem":2878},"[object Object]","\u002Fpython\u002Foop-plan","05.python\u002Foop-plan",{"title":2880,"icon":2881,"path":2882,"stem":2883,"children":2884,"page":59},"Бази даних","i-lucide-database","\u002Fdatabases","06.databases",[2885,2915,2938,2975,3004,3022,3056,3068,3077],{"title":2886,"icon":2887,"path":2888,"stem":2889,"children":2890,"page":59},"Intro","i-lucide-play","\u002Fdatabases\u002Fintro","06.databases\u002F01.intro",[2891,2895,2899,2903,2907,2911],{"title":2892,"path":2893,"stem":2894},"Введення в теорію баз даних","\u002Fdatabases\u002Fintro\u002Fintroduction-to-databases","06.databases\u002F01.intro\u002F01.introduction-to-databases",{"title":2896,"path":2897,"stem":2898},"Реляційна модель даних","\u002Fdatabases\u002Fintro\u002Frelational-model-theory","06.databases\u002F01.intro\u002F02.relational-model-theory",{"title":2900,"path":2901,"stem":2902},"ER-моделювання","\u002Fdatabases\u002Fintro\u002Fer-modeling","06.databases\u002F01.intro\u002F03.er-modeling",{"title":2904,"path":2905,"stem":2906},"Логічне проектування БД","\u002Fdatabases\u002Fintro\u002Flogical-schema","06.databases\u002F01.intro\u002F04.logical-schema",{"title":2908,"path":2909,"stem":2910},"Класифікація таблиць","\u002Fdatabases\u002Fintro\u002Ftable-classification","06.databases\u002F01.intro\u002F05.table-classification",{"title":2912,"path":2913,"stem":2914},"PlantUML для баз даних","\u002Fdatabases\u002Fintro\u002Fplantuml-diagrams","06.databases\u002F01.intro\u002F06.plantuml-diagrams",{"title":2916,"icon":2881,"path":2917,"stem":2918,"children":2919,"page":59},"MS SQL Server Start","\u002Fdatabases\u002Fms-sql-server-start","06.databases\u002F02.ms-sql-server-start",[2920,2924,2930,2934],{"title":2921,"path":2922,"stem":2923},"Типи даних у MS SQL Server","\u002Fdatabases\u002Fms-sql-server-start\u002Fdata-types","06.databases\u002F02.ms-sql-server-start\u002F01.data-types",{"title":2925,"path":2926,"stem":2927,"children":2928},"Індекси у MS SQL Server","\u002Fdatabases\u002Fms-sql-server-start\u002Fsql-indexes","06.databases\u002F02.ms-sql-server-start\u002F02.sql-indexes",[2929],{"title":2925,"path":2926,"stem":2927},{"title":2931,"path":2932,"stem":2933},"Системні бази даних MS SQL Server","\u002Fdatabases\u002Fms-sql-server-start\u002Fsystem-databases","06.databases\u002F02.ms-sql-server-start\u002F03.system-databases",{"title":2935,"path":2936,"stem":2937},"Огляд мови SQL та запитів","\u002Fdatabases\u002Fms-sql-server-start\u002Fsql-queries-overview","06.databases\u002F02.ms-sql-server-start\u002F04.sql-queries-overview",{"title":2939,"icon":2881,"path":2940,"stem":2941,"children":2942,"page":59},"SQL","\u002Fdatabases\u002Fsql","06.databases\u002F03.sql",[2943,2947,2951,2955,2959,2963,2967,2971],{"title":2944,"path":2945,"stem":2946},"Налаштування демонстраційної бази даних","\u002Fdatabases\u002Fsql\u002Fsample-database-setup","06.databases\u002F03.sql\u002F00.sample-database-setup",{"title":2948,"path":2949,"stem":2950},"DDL - Створення таблиць (CREATE TABLE)","\u002Fdatabases\u002Fsql\u002Fddl-create-table","06.databases\u002F03.sql\u002F01.ddl-create-table",{"title":2952,"path":2953,"stem":2954},"DDL - Зміна та видалення таблиць (ALTER, DROP)","\u002Fdatabases\u002Fsql\u002Fddl-alter-drop-table","06.databases\u002F03.sql\u002F02.ddl-alter-drop-table",{"title":2956,"path":2957,"stem":2958},"SELECT запити - Основи","\u002Fdatabases\u002Fsql\u002Fselect-queries-fundamentals","06.databases\u002F03.sql\u002F03.select-queries-fundamentals",{"title":2960,"path":2961,"stem":2962},"SELECT запити - Розширені можливості","\u002Fdatabases\u002Fsql\u002Fselect-queries-advanced","06.databases\u002F03.sql\u002F04.select-queries-advanced",{"title":2964,"path":2965,"stem":2966},"INSERT запити - Додавання даних","\u002Fdatabases\u002Fsql\u002Finsert-queries","06.databases\u002F03.sql\u002F05.insert-queries",{"title":2968,"path":2969,"stem":2970},"UPDATE та DELETE запити","\u002Fdatabases\u002Fsql\u002Fupdate-delete-queries","06.databases\u002F03.sql\u002F06.update-delete-queries",{"title":2972,"path":2973,"stem":2974},"Транзакції в SQL","\u002Fdatabases\u002Fsql\u002Ftransactions","06.databases\u002F03.sql\u002F07.transactions",{"title":2976,"icon":2881,"path":2977,"stem":2978,"children":2979,"page":59},"Multi Table Databases","\u002Fdatabases\u002Fmulti-table-databases","06.databases\u002F04.multi-table-databases",[2980,2984,2988,2992,2996,3000],{"title":2981,"path":2982,"stem":2983},"Зв'язки та нормалізація БД","\u002Fdatabases\u002Fmulti-table-databases\u002Frelationships-and-normalization","06.databases\u002F04.multi-table-databases\u002F00.relationships-and-normalization",{"title":2985,"path":2986,"stem":2987},"INNER JOIN - З'єднання таблиць","\u002Fdatabases\u002Fmulti-table-databases\u002Finner-join","06.databases\u002F04.multi-table-databases\u002F01.inner-join",{"title":2989,"path":2990,"stem":2991},"OUTER JOINs - LEFT, RIGHT, FULL","\u002Fdatabases\u002Fmulti-table-databases\u002Fouter-joins","06.databases\u002F04.multi-table-databases\u002F02.outer-joins",{"title":2993,"path":2994,"stem":2995},"CROSS та SELF JOINs","\u002Fdatabases\u002Fmulti-table-databases\u002Fcross-self-joins","06.databases\u002F04.multi-table-databases\u002F03.cross-self-joins",{"title":2997,"path":2998,"stem":2999},"Підзапити (Subqueries)","\u002Fdatabases\u002Fmulti-table-databases\u002Fsubqueries","06.databases\u002F04.multi-table-databases\u002F04.subqueries",{"title":3001,"path":3002,"stem":3003},"Агрегації з JOIN","\u002Fdatabases\u002Fmulti-table-databases\u002Faggregations-with-joins","06.databases\u002F04.multi-table-databases\u002F05.aggregations-with-joins",{"title":3005,"icon":3006,"path":3007,"stem":3008,"children":3009,"page":59},"Aggregate Functions","i-lucide-calculator","\u002Fdatabases\u002Faggregate-functions","06.databases\u002F05.aggregate-functions",[3010,3014,3018],{"title":3011,"path":3012,"stem":3013},"Функції агрегування в MS SQL Server","\u002Fdatabases\u002Faggregate-functions\u002Fintroduction-aggregate-functions","06.databases\u002F05.aggregate-functions\u002F01.introduction-aggregate-functions",{"title":3015,"path":3016,"stem":3017},"Групування даних в MS SQL Server","\u002Fdatabases\u002Faggregate-functions\u002Fgrouping-data","06.databases\u002F05.aggregate-functions\u002F02.grouping-data",{"title":3019,"path":3020,"stem":3021},"Підзапити з агрегатними функціями","\u002Fdatabases\u002Faggregate-functions\u002Fsubqueries-aggregates","06.databases\u002F05.aggregate-functions\u002F03.subqueries-aggregates",{"title":3023,"icon":3024,"path":3025,"stem":3026,"children":3027,"page":59},"Тригери та зберігаємі процедури","i-lucide-database-zap","\u002Fdatabases\u002Ftriggers-stored-procedures","06.databases\u002F07.triggers-stored-procedures",[3028,3032,3036,3040,3044,3048,3052],{"title":3029,"path":3030,"stem":3031},"DML-тригери","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Fdml-triggers","06.databases\u002F07.triggers-stored-procedures\u002F01.dml-triggers",{"title":3033,"path":3034,"stem":3035},"DDL-тригери","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Fddl-triggers","06.databases\u002F07.triggers-stored-procedures\u002F02.ddl-triggers",{"title":3037,"path":3038,"stem":3039},"Transact-SQL розширення","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Ftransact-sql-extensions","06.databases\u002F07.triggers-stored-procedures\u002F03.transact-sql-extensions",{"title":3041,"path":3042,"stem":3043},"Транзакції","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Ftransactions","06.databases\u002F07.triggers-stored-procedures\u002F04.transactions",{"title":3045,"path":3046,"stem":3047},"Зберігаємі процедури","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Fstored-procedures","06.databases\u002F07.triggers-stored-procedures\u002F05.stored-procedures",{"title":3049,"path":3050,"stem":3051},"Користувацькі функції","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Fuser-defined-functions","06.databases\u002F07.triggers-stored-procedures\u002F06.user-defined-functions",{"title":3053,"path":3054,"stem":3055},"Безпека баз даних","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Fsecurity","06.databases\u002F07.triggers-stored-procedures\u002F08.security",{"title":3053,"icon":793,"path":3057,"stem":3058,"children":3059,"page":59},"\u002Fdatabases\u002Fsecurity","06.databases\u002F08.security",[3060,3064],{"title":3061,"path":3062,"stem":3063},"Вступ до безпеки баз даних","\u002Fdatabases\u002Fsecurity\u002Fintroduction","06.databases\u002F08.security\u002F01.introduction",{"title":3065,"path":3066,"stem":3067},"Системні представлення та метадані","\u002Fdatabases\u002Fsecurity\u002Fsystem-views","06.databases\u002F08.security\u002F02.system-views",{"title":3069,"icon":3070,"path":3071,"stem":3072,"children":3073,"page":59},"Резервне копіювання та відновлення","i-lucide-database-backup","\u002Fdatabases\u002Fbackup-recovery","06.databases\u002F09.backup-recovery",[3074],{"title":3069,"path":3075,"stem":3076},"\u002Fdatabases\u002Fbackup-recovery\u002Fbackup-restore","06.databases\u002F09.backup-recovery\u002F01.backup-restore",{"title":3078,"icon":3079,"path":3080,"stem":3081,"children":3082,"page":59},"Повнотекстовий пошук","i-lucide-search","\u002Fdatabases\u002Ffull-text-search","06.databases\u002F10.full-text-search",[3083],{"title":3078,"path":3084,"stem":3085},"\u002Fdatabases\u002Ffull-text-search\u002Ffull-text-search","06.databases\u002F10.full-text-search\u002F01.full-text-search",{"title":3087,"icon":3088,"path":3089,"stem":3090,"children":3091,"page":59},"Tools","i-lucide-wrench","\u002Ftools","07.tools",[3092,3168],{"title":3093,"icon":3094,"path":3095,"stem":3096,"children":3097},"Docker","i-simple-icons-docker","\u002Ftools\u002Fdocker","07.tools\u002F01.docker\u002Findex",[3098,3100,3104,3108,3112,3116,3120,3124,3128,3132,3136,3140,3144,3148,3152,3156,3160,3164],{"title":3099,"path":3095,"stem":3096},"Docker: від нуля до production",{"title":3101,"path":3102,"stem":3103},"Контейнеризація — від проблеми до рішення","\u002Ftools\u002Fdocker\u002Fcontainerization-concept","07.tools\u002F01.docker\u002F01.containerization-concept",{"title":3105,"path":3106,"stem":3107},"Docker — що це і навіщо?","\u002Ftools\u002Fdocker\u002Fdocker-what-and-why","07.tools\u002F01.docker\u002F02.docker-what-and-why",{"title":3109,"path":3110,"stem":3111},"Архітектура Docker Engine","\u002Ftools\u002Fdocker\u002Fdocker-architecture","07.tools\u002F01.docker\u002F03.docker-architecture",{"title":3113,"path":3114,"stem":3115},"Встановлення Docker","\u002Ftools\u002Fdocker\u002Finstallation","07.tools\u002F01.docker\u002F04.installation",{"title":3117,"path":3118,"stem":3119},"Перший контейнер — docker run","\u002Ftools\u002Fdocker\u002Ffirst-container","07.tools\u002F01.docker\u002F05.first-container",{"title":3121,"path":3122,"stem":3123},"Життєвий цикл контейнера","\u002Ftools\u002Fdocker\u002Fcontainer-lifecycle","07.tools\u002F01.docker\u002F06.container-lifecycle",{"title":3125,"path":3126,"stem":3127},"Docker Images — фундаментальні концепції","\u002Ftools\u002Fdocker\u002Fdocker-images-fundamentals","07.tools\u002F01.docker\u002F07.docker-images-fundamentals",{"title":3129,"path":3130,"stem":3131},"Dockerfile — основи","\u002Ftools\u002Fdocker\u002Fdockerfile-basics","07.tools\u002F01.docker\u002F08.dockerfile-basics",{"title":3133,"path":3134,"stem":3135},"Dockerfile — просунуті техніки","\u002Ftools\u002Fdocker\u002Fdockerfile-advanced","07.tools\u002F01.docker\u002F09.dockerfile-advanced",{"title":3137,"path":3138,"stem":3139},"Build Context та кешування шарів","\u002Ftools\u002Fdocker\u002Fbuild-context-and-cache","07.tools\u002F01.docker\u002F10.build-context-and-cache",{"title":3141,"path":3142,"stem":3143},"Реєстри Docker-образів","\u002Ftools\u002Fdocker\u002Fimage-registries","07.tools\u002F01.docker\u002F11.image-registries",{"title":3145,"path":3146,"stem":3147},"Контейнеризація .NET додатків","\u002Ftools\u002Fdocker\u002Fdotnet-containerization","07.tools\u002F01.docker\u002F12.dotnet-containerization",{"title":3149,"path":3150,"stem":3151},"Томи та збереження даних","\u002Ftools\u002Fdocker\u002Fvolumes-and-data","07.tools\u002F01.docker\u002F13.volumes-and-data",{"title":3153,"path":3154,"stem":3155},"Основи мережі в Docker","\u002Ftools\u002Fdocker\u002Fnetworking-basics","07.tools\u002F01.docker\u002F14.networking-basics",{"title":3157,"path":3158,"stem":3159},"Змінні оточення та конфігурація","\u002Ftools\u002Fdocker\u002Fenvironment-and-configuration","07.tools\u002F01.docker\u002F15.environment-and-configuration",{"title":3161,"path":3162,"stem":3163},"Docker Compose — оркестрація контейнерів","\u002Ftools\u002Fdocker\u002Fdocker-compose-basics","07.tools\u002F01.docker\u002F16.docker-compose-basics",{"title":3165,"path":3166,"stem":3167},"Docker Compose — Multi-Service застосунки","\u002Ftools\u002Fdocker\u002Fcompose-multi-service","07.tools\u002F01.docker\u002F17.compose-multi-service",{"title":3169,"icon":3170,"path":3171,"stem":3172,"children":3173},"Kubernetes","simple-icons:kubernetes","\u002Ftools\u002Fkubernetes","07.tools\u002F02.kubernetes\u002Findex",[3174,3176,3180,3184,3188,3192,3196,3200,3204],{"title":3175,"path":3171,"stem":3172},"Kubernetes: від розробки до production",{"title":3177,"path":3178,"stem":3179},"Kubernetes — коли Docker Compose більше не вистачає","\u002Ftools\u002Fkubernetes\u002Fwhy-kubernetes","07.tools\u002F02.kubernetes\u002F01.why-kubernetes",{"title":3181,"path":3182,"stem":3183},"Архітектура Kubernetes — анатомія кластера","\u002Ftools\u002Fkubernetes\u002Fkubernetes-architecture","07.tools\u002F02.kubernetes\u002F02.kubernetes-architecture",{"title":3185,"path":3186,"stem":3187},"Локальне середовище — minikube, kind та k3s","\u002Ftools\u002Fkubernetes\u002Flocal-environment","07.tools\u002F02.kubernetes\u002F03.local-environment",{"title":3189,"path":3190,"stem":3191},"Pod — атомарна одиниця Kubernetes","\u002Ftools\u002Fkubernetes\u002Fpods-and-containers","07.tools\u002F02.kubernetes\u002F04.pods-and-containers",{"title":3193,"path":3194,"stem":3195},"Патерни використання Pod","\u002Ftools\u002Fkubernetes\u002Fpod-patterns","07.tools\u002F02.kubernetes\u002F05.pod-patterns",{"title":3197,"path":3198,"stem":3199},"Deployment — декларативне управління Pod","\u002Ftools\u002Fkubernetes\u002Fdeployment-basics","07.tools\u002F02.kubernetes\u002F06.deployment-basics",{"title":3201,"path":3202,"stem":3203},"Rolling Updates та управління життєвим циклом Deployment","\u002Ftools\u002Fkubernetes\u002Fdeployment-rolling-updates","07.tools\u002F02.kubernetes\u002F07.deployment-rolling-updates",{"title":3205,"path":3206,"stem":3207},"Service — мережева абстракція для Pod","\u002Ftools\u002Fkubernetes\u002Fservices-networking","07.tools\u002F02.kubernetes\u002F08.services-networking",{"title":3209,"icon":3210,"path":3211,"stem":3212,"children":3213,"page":59},"Software Engineering","i-lucide-code-2","\u002Fsoftware-engineering","09.software-engineering",[3214,3218,3222,3226,3230,3234,3238,3242,3246,3250,3254],{"title":3215,"path":3216,"stem":3217},"1. Аналіз предметної області. Експертні знання та складність","\u002Fsoftware-engineering\u002Fintro-subdomains","09.software-engineering\u002F01.intro-subdomains",{"title":3219,"path":3220,"stem":3221},"2. Обмежені контексти. Інтеграція обмежених контекстів","\u002Fsoftware-engineering\u002Fintegrating-limited-contexts","09.software-engineering\u002F02.integrating-limited-contexts",{"title":3223,"path":3224,"stem":3225},"3. Реалізація простої бізнес-логіки","\u002Fsoftware-engineering\u002Fsimple","09.software-engineering\u002F03.simple",{"title":3227,"path":3228,"stem":3229},"4. Опрацювання складної бізнес-логіки","\u002Fsoftware-engineering\u002Fcomplex-business-logic","09.software-engineering\u002F04.complex-business-logic",{"title":3231,"path":3232,"stem":3233},"5. Моделювання фактора часу. Подієво-орієнтована архітектура.","\u002Fsoftware-engineering\u002Fmodelling-the-time-factor","09.software-engineering\u002F05.modelling-the-time-factor",{"title":3235,"path":3236,"stem":3237},"6. Архітектурні патерни","\u002Fsoftware-engineering\u002Farchitectural-patterns","09.software-engineering\u002F06.architectural-patterns",{"title":3239,"path":3240,"stem":3241},"Паттерни взаємодії","\u002Fsoftware-engineering\u002Fpatterns-of-interaction","09.software-engineering\u002F07.patterns-of-interaction",{"title":3243,"path":3244,"stem":3245},"Евристика проєктування","\u002Fsoftware-engineering\u002Fdesign-heuristics","09.software-engineering\u002F08.design-heuristics",{"title":3247,"path":3248,"stem":3249},"Еволюція проєктних рішень","\u002Fsoftware-engineering\u002Fevolution-of-design-solutions","09.software-engineering\u002F09.evolution-of-design-solutions",{"title":3251,"path":3252,"stem":3253},"EventStorming","\u002Fsoftware-engineering\u002Feventstorming","09.software-engineering\u002F10.eventstorming",{"title":3255,"path":3256,"stem":3257},"DDD на практиці","\u002Fsoftware-engineering\u002Fddd-in-practice","09.software-engineering\u002F11.ddd-in-practice",{"title":3259,"icon":943,"path":3260,"stem":3261,"children":3262,"page":59},"DDD","\u002Fddd","10.ddd",[3263,3267,3271,3275,3279,3283,3287,3291,3295,3299,3303,3307,3311],{"title":3264,"path":3265,"stem":3266},"Аналіз предметної області","\u002Fddd\u002Fdomain-analysis","10.ddd\u002F01.domain-analysis",{"title":3268,"path":3269,"stem":3270},"Експертні знання про предметну область","\u002Fddd\u002Fdomain-expert-knowledge","10.ddd\u002F02.domain-expert-knowledge",{"title":3272,"path":3273,"stem":3274},"Як осмислити складність предметної області","\u002Fddd\u002Fmanaging-domain-complexity","10.ddd\u002F03.managing-domain-complexity",{"title":3276,"path":3277,"stem":3278},"Інтеграція обмежених контекстів","\u002Fddd\u002Fbounded-context-integration","10.ddd\u002F04.bounded-context-integration",{"title":3280,"path":3281,"stem":3282},"Реалізація простої бізнес-логіки","\u002Fddd\u002Fsimple-business-logic","10.ddd\u002F05.simple-business-logic",{"title":3284,"path":3285,"stem":3286},"Обробка складної бізнес-логіки","\u002Fddd\u002Fcomplex-business-logic","10.ddd\u002F06.complex-business-logic",{"title":3288,"path":3289,"stem":3290},"Моделювання фактора часу","\u002Fddd\u002Ftime-modeling","10.ddd\u002F07.time-modeling",{"title":3292,"path":3293,"stem":3294},"Глава 8. Архітектурні Патерни","\u002Fddd\u002Farchitectural-patterns","10.ddd\u002F08.architectural-patterns",{"title":3296,"path":3297,"stem":3298},"Глава 9. Патерни Взаємодії","\u002Fddd\u002Finteraction-patterns","10.ddd\u002F09.interaction-patterns",{"title":3300,"path":3301,"stem":3302},"Глава 10. Проектні Евристики","\u002Fddd\u002Fdesign-heuristics","10.ddd\u002F10.design-heuristics",{"title":3304,"path":3305,"stem":3306},"Глава 11. Еволюція Проектних Рішень","\u002Fddd\u002Fevolution-of-design-decisions","10.ddd\u002F11.evolution-of-design-decisions",{"title":3308,"path":3309,"stem":3310},"Глава 12. EventStorming","\u002Fddd\u002Fevent-storming","10.ddd\u002F12.event-storming",{"title":3312,"path":3313,"stem":3314},"Глава 13. DDD на Практиці","\u002Fddd\u002Fddd-in-practice","10.ddd\u002F13.ddd-in-practice",{"title":3316,"icon":3317,"path":3318,"stem":3319,"children":3320,"page":59},"Media Streaming","i-lucide-video","\u002Fmedia-streaming","11.media-streaming",[3321,3325,3329,3333,3337,3341,3345],{"title":3322,"path":3323,"stem":3324},"01. Магія Стрімінгу: Що відбувається, коли ви натискаєте \"Play\"","\u002Fmedia-streaming\u002Fintroduction","11.media-streaming\u002F01.introduction",{"title":3326,"path":3327,"stem":3328},"02. Анатомія Медіа: Кодеки, Контейнери та Стиснення","\u002Fmedia-streaming\u002Faudio-video-anatomy","11.media-streaming\u002F02.audio-video-anatomy",{"title":3330,"path":3331,"stem":3332},"03. The Gym: FFmpeg Deep Dive","\u002Fmedia-streaming\u002Fffmpeg-gym","11.media-streaming\u002F03.ffmpeg-gym",{"title":3334,"path":3335,"stem":3336},"04. HLS Protocol: HTTP Live Streaming у Деталях","\u002Fmedia-streaming\u002Fhls-protocol","11.media-streaming\u002F04.hls-protocol",{"title":3338,"path":3339,"stem":3340},"05. DASH Protocol: Відкритий Стандарт","\u002Fmedia-streaming\u002Fdash-protocol","11.media-streaming\u002F05.dash-protocol",{"title":3342,"path":3343,"stem":3344},"06. Масштабування: CDN та Adaptive Bitrate","\u002Fmedia-streaming\u002Fcdn-and-adaptive-bitrate","11.media-streaming\u002F06.cdn-and-adaptive-bitrate",{"title":3346,"path":3347,"stem":3348},"07. Війна із Затримкою (Latency)","\u002Fmedia-streaming\u002Frealtime-latency","11.media-streaming\u002F07.realtime-latency",{"title":3350,"icon":3351,"path":3352,"stem":3353,"children":3354,"page":59},"HTML & CSS","i-devicon-html5","\u002Fhtml-css","12.html-css",[3355,3359,3363,3367,3371,3375,3379,3383,3387,3391,3395,3399,3403,3407,3411,3415,3419,3423,3427,3431,3435,3439,3443,3447,3451,3455,3459,3463,3467,3471],{"title":3356,"path":3357,"stem":3358},"Вступ до HTML. Структура документа","\u002Fhtml-css\u002Fintro-html-structure","12.html-css\u002F01.intro-html-structure",{"title":3360,"path":3361,"stem":3362},"Форматування тексту в HTML","\u002Fhtml-css\u002Fhtml-text-formatting","12.html-css\u002F02.html-text-formatting",{"title":3364,"path":3365,"stem":3366},"Посилання та зображення в HTML","\u002Fhtml-css\u002Fhtml-links-images","12.html-css\u002F03.html-links-images",{"title":3368,"path":3369,"stem":3370},"Списки та таблиці в HTML","\u002Fhtml-css\u002Fhtml-lists-tables","12.html-css\u002F04.html-lists-tables",{"title":3372,"path":3373,"stem":3374},"Форми в HTML","\u002Fhtml-css\u002Fhtml-forms","12.html-css\u002F05.html-forms",{"title":3376,"path":3377,"stem":3378},"Семантичні елементи HTML5","\u002Fhtml-css\u002Fhtml-semantic-elements","12.html-css\u002F06.html-semantic-elements",{"title":3380,"path":3381,"stem":3382},"Мультимедіа та розширені елементи HTML","\u002Fhtml-css\u002Fhtml-multimedia-advanced","12.html-css\u002F07.html-multimedia-advanced",{"title":3384,"path":3385,"stem":3386},"Мікророзмітка та SEO в HTML","\u002Fhtml-css\u002Fhtml-microdata-seo","12.html-css\u002F08.html-microdata-seo",{"title":3388,"path":3389,"stem":3390},"Вступ до CSS. Селектори та специфічність","\u002Fhtml-css\u002Fcss-intro-selectors","12.html-css\u002F09.css-intro-selectors",{"title":3392,"path":3393,"stem":3394},"Блокова модель CSS. Відступи. Box Sizing","\u002Fhtml-css\u002Fcss-box-model","12.html-css\u002F10.css-box-model",{"title":3396,"path":3397,"stem":3398},"Розміри у CSS: повний довідник одиниць і ключових слів","\u002Fhtml-css\u002F10a.css-sizing","12.html-css\u002F10a.css-sizing",{"title":3400,"path":3401,"stem":3402},"Типографіка в CSS. Шрифти та текст","\u002Fhtml-css\u002Fcss-typography","12.html-css\u002F11.css-typography",{"title":3404,"path":3405,"stem":3406},"Кольори та фони в CSS","\u002Fhtml-css\u002Fcss-colors-backgrounds","12.html-css\u002F12.css-colors-backgrounds",{"title":3408,"path":3409,"stem":3410},"Тіні та фільтри в CSS","\u002Fhtml-css\u002F12b.css-shadows-filters","12.html-css\u002F12b.css-shadows-filters",{"title":3412,"path":3413,"stem":3414},"CSS Flexbox: Фундамент гнучких макетів","\u002Fhtml-css\u002Fcss-flexbox-fundamentals","12.html-css\u002F13.css-flexbox-fundamentals",{"title":3416,"path":3417,"stem":3418},"CSS Flexbox: Вирівнювання та Позиціонування","\u002Fhtml-css\u002Fcss-flexbox-alignment-sizing-and-patterns","12.html-css\u002F14.css-flexbox-alignment-sizing-and-patterns",{"title":3420,"path":3421,"stem":3422},"CSS Grid. Двовимірний макет. Частина 1","\u002Fhtml-css\u002Fcss-layout-grid","12.html-css\u002F15.css-layout-grid",{"title":3424,"path":3425,"stem":3426},"CSS Grid. Двовимірний макет. Частина 2","\u002Fhtml-css\u002Fcss-layout-grid-advanced","12.html-css\u002F16.css-layout-grid-advanced",{"title":3428,"path":3429,"stem":3430},"Позиціонування в CSS. Z-index. Stacking Context","\u002Fhtml-css\u002Fcss-positioning","12.html-css\u002F17.css-positioning",{"title":3432,"path":3433,"stem":3434},"CSS Анімації та Переходи","\u002Fhtml-css\u002Fcss-animations-transitions","12.html-css\u002F18.css-animations-transitions",{"title":3436,"path":3437,"stem":3438},"Адаптивний дизайн. Media Queries. Частина 1","\u002Fhtml-css\u002Fcss-responsive-media-queries","12.html-css\u002F19.css-responsive-media-queries",{"title":3440,"path":3441,"stem":3442},"Адаптивний дизайн. Частина 2: clamp(), Container Queries, @layer","\u002Fhtml-css\u002Fcss-responsive-advanced","12.html-css\u002F20.css-responsive-advanced",{"title":3444,"path":3445,"stem":3446},"CSS Custom Properties. Методології. Сучасний CSS","\u002Fhtml-css\u002Fcss-variables-methodologies","12.html-css\u002F21.css-variables-methodologies",{"title":3448,"path":3449,"stem":3450},"Сучасний CSS 2023–2025: Нові можливості","\u002Fhtml-css\u002Fcss-modern-features","12.html-css\u002F22.css-modern-features",{"title":3452,"path":3453,"stem":3454},"CSS Nesting, @layer, @scope та @property: нативний препроцесор","\u002Fhtml-css\u002F22a.css-nesting-modern-syntax","12.html-css\u002F22a.css-nesting-modern-syntax",{"title":3456,"path":3457,"stem":3458},"CSS для форм та інтерактивних станів","\u002Fhtml-css\u002Fcss-forms-interactive-states","12.html-css\u002F23.css-forms-interactive-states",{"title":3460,"path":3461,"stem":3462},"Доступність у CSS (CSS Accessibility)","\u002Fhtml-css\u002Fcss-accessibility","12.html-css\u002F24.css-accessibility",{"title":3464,"path":3465,"stem":3466},"CSS-функції та сучасні sizing primitives","\u002Fhtml-css\u002Fcss-functions-sizing","12.html-css\u002F25.css-functions-sizing",{"title":3468,"path":3469,"stem":3470},"Rendering Pipeline і CSS Performance","\u002Fhtml-css\u002Fcss-rendering-performance","12.html-css\u002F26.css-rendering-performance",{"title":3472,"path":3473,"stem":3474},"CSS Best Practices: типові ситуації та правильні рішення","\u002Fhtml-css\u002Fcss-best-practices","12.html-css\u002F27.css-best-practices",{"title":3476,"path":3477,"stem":3478,"children":3479,"page":59},"AWS","\u002Faws","13.aws",[3480,3484,3488,3492,3496,3500,3504,3508,3512,3516,3520,3524,3528,3532,3536,3540,3544,3548],{"title":3481,"path":3482,"stem":3483},"Реєстрація AWS акаунту та студентські програми","\u002Faws\u002Faccount-registration","13.aws\u002F00.account-registration",{"title":3485,"path":3486,"stem":3487},"Вступ до хмарних обчислень та AWS","\u002Faws\u002Fintroduction-to-cloud","13.aws\u002F01.introduction-to-cloud",{"title":3489,"path":3490,"stem":3491},"AWS IAM — Identity and Access Management","\u002Faws\u002Fiam","13.aws\u002F02.iam",{"title":3493,"path":3494,"stem":3495},"AWS IAM CLI — Довідник команд","\u002Faws\u002F02a.iam-doc","13.aws\u002F02a.iam-doc",{"title":3497,"path":3498,"stem":3499},"Docker та контейнеризація в AWS — ECR, ECS та Fargate","\u002Faws\u002Fdocker-ecs","13.aws\u002F03.docker-ecs",{"title":3501,"path":3502,"stem":3503},"AWS ECR \u002F ECS CLI — Довідник команд","\u002Faws\u002F03a.docker-ecs-doc","13.aws\u002F03a.docker-ecs-doc",{"title":3505,"path":3506,"stem":3507},"Amazon EC2 — Elastic Compute Cloud","\u002Faws\u002Fec2","13.aws\u002F04.ec2",{"title":3509,"path":3510,"stem":3511},"AWS EC2 CLI — Довідник команд","\u002Faws\u002F04a.ec2-doc","13.aws\u002F04a.ec2-doc",{"title":3513,"path":3514,"stem":3515},"Elastic Load Balancing та Auto Scaling","\u002Faws\u002Falb-asg","13.aws\u002F05.alb-asg",{"title":3517,"path":3518,"stem":3519},"Amazon S3 — Simple Storage Service","\u002Faws\u002Fs3","13.aws\u002F06.s3",{"title":3521,"path":3522,"stem":3523},"Amazon CloudFront — Content Delivery Network","\u002Faws\u002Fcloudfront","13.aws\u002F07.cloudfront",{"title":3525,"path":3526,"stem":3527},"Amazon RDS — Relational Database Service","\u002Faws\u002Frds","13.aws\u002F08.rds",{"title":3529,"path":3530,"stem":3531},"Amazon DynamoDB — NoSQL Database","\u002Faws\u002Fdynamodb","13.aws\u002F09.dynamodb",{"title":3533,"path":3534,"stem":3535},"AWS Lambda та Serverless Compute","\u002Faws\u002Flambda","13.aws\u002F10.lambda",{"title":3537,"path":3538,"stem":3539},"Amazon Bedrock - Foundation Models, RAG та Agents","\u002Faws\u002Fbedrock","13.aws\u002F22.bedrock",{"title":3541,"path":3542,"stem":3543},"Amazon Rekognition - Комп'ютерний зір","\u002Faws\u002Frekognition","13.aws\u002F23.rekognition",{"title":3545,"path":3546,"stem":3547},"Amazon Textract - Інтелектуальний аналіз документів","\u002Faws\u002Ftextract","13.aws\u002F24.textract",{"title":3549,"path":3550,"stem":3551},"Amazon Polly, Transcribe, Comprehend та Translate","\u002Faws\u002Faudio-nlp-services","13.aws\u002F25.audio-nlp-services",{"title":3553,"path":3554,"stem":3555,"children":3556,"page":59},"Ai Development","\u002Fai-development","14.ai-development",[3557],{"title":3558,"path":3559,"stem":3560,"children":3561,"page":59},"Foundations","\u002Fai-development\u002Ffoundations","14.ai-development\u002F00.foundations",[3562],{"title":3563,"path":3564,"stem":3565},"Модуль 0.1. Що таке Large Language Model (LLM)","\u002Fai-development\u002Ffoundations\u002Fwhat-is-llm","14.ai-development\u002F00.foundations\u002F01.what-is-llm",{"title":3567,"path":3568,"stem":3569,"children":3570,"page":59},"React Native","\u002Freact-native","15.react-native",[3571,3592],{"title":3572,"path":3573,"stem":3574,"children":3575,"page":59},"Version1","\u002Freact-native\u002Fversion1","15.react-native\u002Fversion1",[3576,3580,3584,3588],{"title":3577,"path":3578,"stem":3579},"Що таке React Native","\u002Freact-native\u002Fversion1\u002Fwhat-is-react-native","15.react-native\u002Fversion1\u002F01.what-is-react-native",{"title":3581,"path":3582,"stem":3583},"Як влаштований React Native «під капотом»","\u002Freact-native\u002Fversion1\u002Freact-native-architecture","15.react-native\u002Fversion1\u002F02.react-native-architecture",{"title":3585,"path":3586,"stem":3587},"Від React до React Native: ключові відмінності","\u002Freact-native\u002Fversion1\u002Freact-native-vs-react","15.react-native\u002Fversion1\u002F03.react-native-vs-react",{"title":3589,"path":3590,"stem":3591},"View та Text — фундаментальні будівельні блоки","\u002Freact-native\u002Fversion1\u002Fview-and-text","15.react-native\u002Fversion1\u002F04.view-and-text",{"title":3593,"path":3594,"stem":3595,"children":3596,"page":59},"Version2","\u002Freact-native\u002Fversion2","15.react-native\u002Fversion2",[3597,3601,3605,3609,3613,3617,3621,3625,3629,3633,3637,3641,3645,3649,3653,3657,3661,3665,3669,3673,3677,3681,3685,3689,3693,3697,3701],{"title":3598,"path":3599,"stem":3600},"React Native — навіщо він потрібен","\u002Freact-native\u002Fversion2\u002Fwhy-react-native","15.react-native\u002Fversion2\u002F01.why-react-native",{"title":3602,"path":3603,"stem":3604},"Налаштування середовища розробки","\u002Freact-native\u002Fversion2\u002Fenvironment-setup","15.react-native\u002Fversion2\u002F02.environment-setup",{"title":3606,"path":3607,"stem":3608},"Expo і класичний React Native — два шляхи одного фреймворку","\u002Freact-native\u002Fversion2\u002Fexpo-vs-cli-landscape","15.react-native\u002Fversion2\u002F03.expo-vs-cli-landscape",{"title":3610,"path":3611,"stem":3612},"Середовище Expo — перший запуск","\u002Freact-native\u002Fversion2\u002Fexpo-setup-and-tooling","15.react-native\u002Fversion2\u002F04.expo-setup-and-tooling",{"title":3614,"path":3615,"stem":3616},"Структура проєкту та перші UI-примітиви","\u002Freact-native\u002Fversion2\u002Fproject-structure-and-conventions","15.react-native\u002Fversion2\u002F05.project-structure-and-conventions",{"title":3618,"path":3619,"stem":3620},"Базові компоненти React Native","\u002Freact-native\u002Fversion2\u002Fcore-components","15.react-native\u002Fversion2\u002F06.core-components",{"title":3622,"path":3623,"stem":3624},"Flexbox і layout у React Native","\u002Freact-native\u002Fversion2\u002Fflexbox-and-layout","15.react-native\u002Fversion2\u002F07.flexbox-and-layout",{"title":3626,"path":3627,"stem":3628},"StyleSheet і теми (light \u002F dark)","\u002Freact-native\u002Fversion2\u002Fstylesheet-and-theming","15.react-native\u002Fversion2\u002F08.stylesheet-and-theming",{"title":3630,"path":3631,"stem":3632},"Списки та віртуалізація","\u002Freact-native\u002Fversion2\u002Flists-and-virtualization","15.react-native\u002Fversion2\u002F09.lists-and-virtualization",{"title":3634,"path":3635,"stem":3636},"Форми, ввід і валідація","\u002Freact-native\u002Fversion2\u002Fforms-input-validation","15.react-native\u002Fversion2\u002F10.forms-input-validation",{"title":3638,"path":3639,"stem":3640},"Основи Expo Router","\u002Freact-native\u002Fversion2\u002Fexpo-router-basics","15.react-native\u002Fversion2\u002F11.expo-router-basics",{"title":3642,"path":3643,"stem":3644},"Вкладені навігатори та модалки","\u002Freact-native\u002Fversion2\u002Fnested-navigators-and-modals","15.react-native\u002Fversion2\u002F12.nested-navigators-and-modals",{"title":3646,"path":3647,"stem":3648},"Deep linking і параметри маршрутів","\u002Freact-native\u002Fversion2\u002Fdeep-linking-and-params","15.react-native\u002Fversion2\u002F13.deep-linking-and-params",{"title":3650,"path":3651,"stem":3652},"Робота з мережею та життєвий цикл застосунку","\u002Freact-native\u002Fversion2\u002Fnetworking-and-app-lifecycle","15.react-native\u002Fversion2\u002F14.networking-and-app-lifecycle",{"title":3654,"path":3655,"stem":3656},"Redux Toolkit на мобільних платформах","\u002Freact-native\u002Fversion2\u002Fredux-toolkit-on-mobile","15.react-native\u002Fversion2\u002F15.redux-toolkit-on-mobile",{"title":3658,"path":3659,"stem":3660},"RTK Query на мобільних платформах","\u002Freact-native\u002Fversion2\u002Frtk-query-mobile","15.react-native\u002Fversion2\u002F16.rtk-query-mobile",{"title":3662,"path":3663,"stem":3664},"Автентифікація та Безпечне Зберігання","\u002Freact-native\u002Fversion2\u002Fauth-secure-storage","15.react-native\u002Fversion2\u002F18.auth-secure-storage",{"title":3666,"path":3667,"stem":3668},"Локальне сховище — AsyncStorage, MMKV, SQLite","\u002Freact-native\u002Fversion2\u002Flocal-storage-mmkv-sqlite","15.react-native\u002Fversion2\u002F19.local-storage-mmkv-sqlite",{"title":3670,"path":3671,"stem":3672},"Офлайн-First і синхронізація","\u002Freact-native\u002Fversion2\u002Foffline-first-sync","15.react-native\u002Fversion2\u002F20.offline-first-sync",{"title":3674,"path":3675,"stem":3676},"Камера, медіа та файлова система","\u002Freact-native\u002Fversion2\u002Fcamera-media-filesystem","15.react-native\u002Fversion2\u002F21.camera-media-filesystem",{"title":3678,"path":3679,"stem":3680},"Карти та геолокація","\u002Freact-native\u002Fversion2\u002Fmaps-and-location","15.react-native\u002Fversion2\u002F22.maps-and-location",{"title":3682,"path":3683,"stem":3684},"Жести та дотики","\u002Freact-native\u002Fversion2\u002Fgestures-and-touch","15.react-native\u002Fversion2\u002F23.gestures-and-touch",{"title":3686,"path":3687,"stem":3688},"Анімації з Reanimated","\u002Freact-native\u002Fversion2\u002Freanimated-animations","15.react-native\u002Fversion2\u002F24.reanimated-animations",{"title":3690,"path":3691,"stem":3692},"Push і локальні сповіщення","\u002Freact-native\u002Fversion2\u002Fpush-and-local-notifications","15.react-native\u002Fversion2\u002F25.push-and-local-notifications",{"title":3694,"path":3695,"stem":3696},"Інтернаціоналізація та доступність","\u002Freact-native\u002Fversion2\u002Faccessibility-and-i18n","15.react-native\u002Fversion2\u002F26.accessibility-and-i18n",{"title":3698,"path":3699,"stem":3700},"EAS Build та профілі збірки","\u002Freact-native\u002Fversion2\u002Feas-build-and-profiles","15.react-native\u002Fversion2\u002F29.eas-build-and-profiles",{"title":3702,"path":3703,"stem":3704},"Публікація в App Store та Google Play","\u002Freact-native\u002Fversion2\u002Fapp-store-play-release","15.react-native\u002Fversion2\u002F30.app-store-play-release",{"title":3706,"path":3707,"stem":3708,"children":3709,"page":59},"Ai Python","\u002Fai-python","16.ai-python",[3710,3719,3728,3737,3766,3792,3817,3850,3867,3880,3889,3902,3911,3932,3945,3966],{"title":3711,"path":3712,"stem":3713,"children":3714,"page":59},"Intro To Ai","\u002Fai-python\u002Fintro-to-ai","16.ai-python\u002F01.intro-to-ai",[3715],{"title":3716,"path":3717,"stem":3718},"Вступ до штучного інтелекту та машинного навчання","\u002Fai-python\u002Fintro-to-ai\u002Fintro-to-ai","16.ai-python\u002F01.intro-to-ai\u002F01.intro-to-ai",{"title":3720,"path":3721,"stem":3722,"children":3723,"page":59},"Jupyter Notebook","\u002Fai-python\u002Fjupyter-notebook","16.ai-python\u002F02.jupyter-notebook",[3724],{"title":3725,"path":3726,"stem":3727},"Знайомство з Jupyter Notebook та JupyterLab","\u002Fai-python\u002Fjupyter-notebook\u002Fjupyter-notebook","16.ai-python\u002F02.jupyter-notebook\u002F02.jupyter-notebook",{"title":3729,"path":3730,"stem":3731,"children":3732,"page":59},"Numpy Pandas","\u002Fai-python\u002Fnumpy-pandas","16.ai-python\u002F03.numpy-pandas",[3733],{"title":3734,"path":3735,"stem":3736},"Робота з даними з використанням NumPy і pandas","\u002Fai-python\u002Fnumpy-pandas\u002Fnumpy-pandas","16.ai-python\u002F03.numpy-pandas\u002F03.numpy-pandas",{"title":3738,"path":3739,"stem":3740,"children":3741,"page":59},"Statistics Basics","\u002Fai-python\u002Fstatistics-basics","16.ai-python\u002F04.statistics-basics",[3742,3746,3750,3754,3758,3762],{"title":3743,"path":3744,"stem":3745},"Випадкові величини та їх типи","\u002Fai-python\u002Fstatistics-basics\u002Frandom-variables","16.ai-python\u002F04.statistics-basics\u002F01.random-variables",{"title":3747,"path":3748,"stem":3749},"Міри центральної тенденції","\u002Fai-python\u002Fstatistics-basics\u002Fcentral-tendency","16.ai-python\u002F04.statistics-basics\u002F02.central-tendency",{"title":3751,"path":3752,"stem":3753},"Міри варіації (розсіювання)","\u002Fai-python\u002Fstatistics-basics\u002Fvariability","16.ai-python\u002F04.statistics-basics\u002F03.variability",{"title":3755,"path":3756,"stem":3757},"Розподіли випадкових величин","\u002Fai-python\u002Fstatistics-basics\u002Fdistributions","16.ai-python\u002F04.statistics-basics\u002F04.distributions",{"title":3759,"path":3760,"stem":3761},"Кореляція та взаємозв'язки","\u002Fai-python\u002Fstatistics-basics\u002Fcorrelation","16.ai-python\u002F04.statistics-basics\u002F05.correlation",{"title":3763,"path":3764,"stem":3765},"Викиди та аномалії","\u002Fai-python\u002Fstatistics-basics\u002Foutliers","16.ai-python\u002F04.statistics-basics\u002F06.outliers",{"title":3767,"path":3768,"stem":3769,"children":3770},"Візуалізація даних за допомогою matplotlib","\u002Fai-python\u002Fdata-visualization","16.ai-python\u002F05.data-visualization\u002Findex",[3771,3772,3776,3780,3784,3788],{"title":3767,"path":3768,"stem":3769},{"title":3773,"path":3774,"stem":3775},"Основи matplotlib — Figure, Axes та перший графік","\u002Fai-python\u002Fdata-visualization\u002Fmatplotlib-basics","16.ai-python\u002F05.data-visualization\u002F01.matplotlib-basics",{"title":3777,"path":3778,"stem":3779},"Візуалізація розподілів — гістограми та box plots","\u002Fai-python\u002Fdata-visualization\u002Fdistributions","16.ai-python\u002F05.data-visualization\u002F02.distributions",{"title":3781,"path":3782,"stem":3783},"Візуалізація залежностей — scatter plots та кореляція","\u002Fai-python\u002Fdata-visualization\u002Frelationships","16.ai-python\u002F05.data-visualization\u002F03.relationships",{"title":3785,"path":3786,"stem":3787},"Візуалізація категоріальних даних — bar charts та pie charts","\u002Fai-python\u002Fdata-visualization\u002Fcategorical","16.ai-python\u002F05.data-visualization\u002F04.categorical",{"title":3789,"path":3790,"stem":3791},"Композиції та стилізація — subplots та багатопанельні дашборди","\u002Fai-python\u002Fdata-visualization\u002Fsubplots-styling","16.ai-python\u002F05.data-visualization\u002F05.subplots-styling",{"title":3793,"path":3794,"stem":3795,"children":3796,"page":59},"Linear Regression","\u002Fai-python\u002Flinear-regression","16.ai-python\u002F06.linear-regression",[3797,3801,3805,3809,3813],{"title":3798,"path":3799,"stem":3800},"Регресійна задача та лінійна регресія з однією змінною","\u002Fai-python\u002Flinear-regression\u002Fregression-task","16.ai-python\u002F06.linear-regression\u002F01.regression-task",{"title":3802,"path":3803,"stem":3804},"Метрики якості регресії — як оцінити модель","\u002Fai-python\u002Flinear-regression\u002Fquality-metrics","16.ai-python\u002F06.linear-regression\u002F02.quality-metrics",{"title":3806,"path":3807,"stem":3808},"Градієнтний спуск — як модель навчається","\u002Fai-python\u002Flinear-regression\u002Fgradient-descent","16.ai-python\u002F06.linear-regression\u002F03.gradient-descent",{"title":3810,"path":3811,"stem":3812},"Множинна лінійна регресія — модель з багатьма ознаками","\u002Fai-python\u002Flinear-regression\u002Fmultiple-regression","16.ai-python\u002F06.linear-regression\u002F04.multiple-regression",{"title":3814,"path":3815,"stem":3816},"Практичні завдання та резюме модуля","\u002Fai-python\u002Flinear-regression\u002Fpractice","16.ai-python\u002F06.linear-regression\u002F05.practice",{"title":3818,"path":3819,"stem":3820,"children":3821,"page":59},"Practical Regression","\u002Fai-python\u002Fpractical-regression","16.ai-python\u002F07.practical-regression",[3822,3826,3830,3834,3838,3842,3846],{"title":3823,"path":3824,"stem":3825},"Знайомство з scikit-learn","\u002Fai-python\u002Fpractical-regression\u002Fintro-scikit-learn","16.ai-python\u002F07.practical-regression\u002F01.intro-scikit-learn",{"title":3827,"path":3828,"stem":3829},"Exploratory Data Analysis датасету Housing Prices","\u002Fai-python\u002Fpractical-regression\u002Fhousing-dataset-eda","16.ai-python\u002F07.practical-regression\u002F02.housing-dataset-eda",{"title":3831,"path":3832,"stem":3833},"Попередня обробка даних (Data Preprocessing)","\u002Fai-python\u002Fpractical-regression\u002Fdata-preprocessing","16.ai-python\u002F07.practical-regression\u002F03.data-preprocessing",{"title":3835,"path":3836,"stem":3837},"Train\u002FTest Split та перша повноцінна модель","\u002Fai-python\u002Fpractical-regression\u002Ftrain-test-split","16.ai-python\u002F07.practical-regression\u002F04.train-test-split",{"title":3839,"path":3840,"stem":3841},"Перенавчання та недонавчання","\u002Fai-python\u002Fpractical-regression\u002Foverfitting-underfitting","16.ai-python\u002F07.practical-regression\u002F05.overfitting-underfitting",{"title":3843,"path":3844,"stem":3845},"Крос-валідація (Cross-Validation)","\u002Fai-python\u002Fpractical-regression\u002Fcross-validation","16.ai-python\u002F07.practical-regression\u002F06.cross-validation",{"title":3847,"path":3848,"stem":3849},"Гіперпараметри та їх оптимізація","\u002Fai-python\u002Fpractical-regression\u002Fhyperparameter-tuning","16.ai-python\u002F07.practical-regression\u002F07.hyperparameter-tuning",{"title":3851,"path":3852,"stem":3853,"children":3854,"page":59},"Polynomial Regression","\u002Fai-python\u002Fpolynomial-regression","16.ai-python\u002F08.polynomial-regression",[3855,3859,3863],{"title":3856,"path":3857,"stem":3858},"Нелінійні залежності та поліноміальна регресія","\u002Fai-python\u002Fpolynomial-regression\u002Fnonlinear-patterns","16.ai-python\u002F08.polynomial-regression\u002F01.nonlinear-patterns",{"title":3860,"path":3861,"stem":3862},"Регуляризація в регресії — Ridge та Lasso","\u002Fai-python\u002Fpolynomial-regression\u002Fregularization-methods","16.ai-python\u002F08.polynomial-regression\u002F02.regularization-methods",{"title":3864,"path":3865,"stem":3866},"Практика — поліноміальна регресія та регуляризація на Housing Prices","\u002Fai-python\u002Fpolynomial-regression\u002Fhousing-prices-practice","16.ai-python\u002F08.polynomial-regression\u002F03.housing-prices-practice",{"title":3868,"path":3869,"stem":3870,"children":3871,"page":59},"Decision Trees Random Forest","\u002Fai-python\u002Fdecision-trees-random-forest","16.ai-python\u002F09.decision-trees-random-forest",[3872,3876],{"title":3873,"path":3874,"stem":3875},"Дерева рішень — моделі з прозорою та зрозумілою логікою","\u002Fai-python\u002Fdecision-trees-random-forest\u002Fdecision-trees","16.ai-python\u002F09.decision-trees-random-forest\u002F01.decision-trees",{"title":3877,"path":3878,"stem":3879},"Random Forest — ансамблі дерев рішень","\u002Fai-python\u002Fdecision-trees-random-forest\u002Frandom-forest","16.ai-python\u002F09.decision-trees-random-forest\u002F02.random-forest",{"title":3881,"path":3882,"stem":3883,"children":3884,"page":59},"Gradient Boosting","\u002Fai-python\u002Fgradient-boosting","16.ai-python\u002F10.gradient-boosting",[3885],{"title":3886,"path":3887,"stem":3888},"Градієнтний бустинг та XGBoost — послідовне виправлення помилок","\u002Fai-python\u002Fgradient-boosting\u002Fgradient-boosting-xgboost","16.ai-python\u002F10.gradient-boosting\u002F01.gradient-boosting-xgboost",{"title":3890,"path":3891,"stem":3892,"children":3893,"page":59},"Logistic Regression Classification","\u002Fai-python\u002Flogistic-regression-classification","16.ai-python\u002F11.logistic-regression-classification",[3894,3898],{"title":3895,"path":3896,"stem":3897},"Основи класифікації та логістична регресія","\u002Fai-python\u002Flogistic-regression-classification\u002Fclassification-basics","16.ai-python\u002F11.logistic-regression-classification\u002F01.classification-basics",{"title":3899,"path":3900,"stem":3901},"Метрики якості класифікації","\u002Fai-python\u002Flogistic-regression-classification\u002Fclassification-metrics","16.ai-python\u002F11.logistic-regression-classification\u002F02.classification-metrics",{"title":3903,"path":3904,"stem":3905,"children":3906,"page":59},"Neural Networks Basics","\u002Fai-python\u002Fneural-networks-basics","16.ai-python\u002F12.neural-networks-basics",[3907],{"title":3908,"path":3909,"stem":3910},"Вступ до нейронних мереж — від персептрона до багатошарових мереж","\u002Fai-python\u002Fneural-networks-basics\u002Fperceptron-to-mlp","16.ai-python\u002F12.neural-networks-basics\u002F01.perceptron-to-mlp",{"title":3912,"path":3913,"stem":3914,"children":3915,"page":59},"Pytorch Intro","\u002Fai-python\u002Fpytorch-intro","16.ai-python\u002F13.pytorch-intro",[3916,3920,3924,3928],{"title":3917,"path":3918,"stem":3919},"Тензори та автоматичне диференціювання в PyTorch","\u002Fai-python\u002Fpytorch-intro\u002Ftensors-and-autograd","16.ai-python\u002F13.pytorch-intro\u002F01.tensors-and-autograd",{"title":3921,"path":3922,"stem":3923},"Побудова та тренування нейронних мереж у PyTorch","\u002Fai-python\u002Fpytorch-intro\u002Fbuilding-and-training","16.ai-python\u002F13.pytorch-intro\u002F02.building-and-training",{"title":3925,"path":3926,"stem":3927},"Робота з даними та регуляризація в PyTorch","\u002Fai-python\u002Fpytorch-intro\u002Fdata-and-regularization","16.ai-python\u002F13.pytorch-intro\u002F03.data-and-regularization",{"title":3929,"path":3930,"stem":3931},"Просунуті теми PyTorch — GPU, оптимізація та deployment","\u002Fai-python\u002Fpytorch-intro\u002Fadvanced-topics","16.ai-python\u002F13.pytorch-intro\u002F04.advanced-topics",{"title":3933,"path":3934,"stem":3935,"children":3936,"page":59},"Activation Functions Heart Disease","\u002Fai-python\u002Factivation-functions-heart-disease","16.ai-python\u002F14.activation-functions-heart-disease",[3937,3941],{"title":3938,"path":3939,"stem":3940},"Функції активації та побудова нейронної мережі для передбачення вад серця","\u002Fai-python\u002Factivation-functions-heart-disease\u002Fheart-disease-prediction","16.ai-python\u002F14.activation-functions-heart-disease\u002F01.heart-disease-prediction",{"title":3942,"path":3943,"stem":3944},"Бонус — Повний приклад Student Performance Prediction","\u002Fai-python\u002Factivation-functions-heart-disease\u002Fstudent-performance-bonus","16.ai-python\u002F14.activation-functions-heart-disease\u002F02.student-performance-bonus",{"title":3946,"path":3947,"stem":3948,"children":3949,"page":59},"Cnn Image Classification","\u002Fai-python\u002Fcnn-image-classification","16.ai-python\u002F15.cnn-image-classification",[3950,3954,3958,3962],{"title":3951,"path":3952,"stem":3953},"Основи згорткових нейронних мереж — чому не MLP?","\u002Fai-python\u002Fcnn-image-classification\u002Fcnn-fundamentals","16.ai-python\u002F15.cnn-image-classification\u002F01.cnn-fundamentals",{"title":3955,"path":3956,"stem":3957},"Практична імплементація CNN для класифікації MNIST","\u002Fai-python\u002Fcnn-image-classification\u002Fmnist-classification","16.ai-python\u002F15.cnn-image-classification\u002F02.mnist-classification",{"title":3959,"path":3960,"stem":3961},"Глибші CNN та аугментація даних для CIFAR-10","\u002Fai-python\u002Fcnn-image-classification\u002Fcifar10-and-data-augmentation","16.ai-python\u002F15.cnn-image-classification\u002F03.cifar10-and-data-augmentation",{"title":3963,"path":3964,"stem":3965},"Transfer Learning та візуалізація внутрішніх представлень CNN","\u002Fai-python\u002Fcnn-image-classification\u002Ftransfer-learning-and-visualization","16.ai-python\u002F15.cnn-image-classification\u002F04.transfer-learning-and-visualization",{"title":3967,"path":3968,"stem":3969,"children":3970,"page":59},"Batching Normalization Deep Networks","\u002Fai-python\u002Fbatching-normalization-deep-networks","16.ai-python\u002F16.batching-normalization-deep-networks",[3971,3975,3979,3983,3987,3991,3995],{"title":3972,"path":3973,"stem":3974},"Mini-batch Gradient Descent та ефективна обробка даних","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Fmini-batch-gradient-descent","16.ai-python\u002F16.batching-normalization-deep-networks\u002F01.mini-batch-gradient-descent",{"title":3976,"path":3977,"stem":3978},"Ініціалізація ваг — фундамент стабільного навчання","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Fweight-initialization","16.ai-python\u002F16.batching-normalization-deep-networks\u002F02.weight-initialization",{"title":3980,"path":3981,"stem":3982},"Batch Normalization — прорив у глибокому навчанні","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Fbatch-normalization","16.ai-python\u002F16.batching-normalization-deep-networks\u002F03.batch-normalization",{"title":3984,"path":3985,"stem":3986},"Dropout та комбіновані стратегії регуляризації","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Fdropout-and-regularization","16.ai-python\u002F16.batching-normalization-deep-networks\u002F04.dropout-and-regularization",{"title":3988,"path":3989,"stem":3990},"Проєктування глибоких мереж — від теорії до практики","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Fdeep-networks-architectures","16.ai-python\u002F16.batching-normalization-deep-networks\u002F05.deep-networks-architectures",{"title":3992,"path":3993,"stem":3994},"Планування learning rate — коли та як зменшувати крок навчання","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Flearning-rate-scheduling","16.ai-python\u002F16.batching-normalization-deep-networks\u002F06.learning-rate-scheduling",{"title":3996,"path":3997,"stem":3998},"Підсумковий проєкт — побудова сучасного класифікатора зображень","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Ffinal-project-deep-classifier","16.ai-python\u002F16.batching-normalization-deep-networks\u002F07.final-project-deep-classifier",{"title":4000,"icon":658,"path":4001,"stem":4002,"children":4003,"page":59},"Клієнт-серверна архітектура","\u002Fclient-server-architecture","17.client-server-architecture",[4004,4008,4012,4016,4020,4024,4028,4032,4036,4040,4044,4048,4052,4056,4060,4064,4068,4072],{"title":4005,"path":4006,"stem":4007},"Архітектура клієнт-серверних систем та основи Go","\u002Fclient-server-architecture\u002Fclient-server-architecture-and-go","17.client-server-architecture\u002F01.client-server-architecture-and-go",{"title":4009,"path":4010,"stem":4011},"Система типів та модель пам’яті мови Go","\u002Fclient-server-architecture\u002Ftype-system-and-memory-model","17.client-server-architecture\u002F02.type-system-and-memory-model",{"title":4013,"path":4014,"stem":4015},"Інтерфейси та модель конкурентності мови Go","\u002Fclient-server-architecture\u002Finterfaces-and-concurrency-model","17.client-server-architecture\u002F03.interfaces-and-concurrency-model",{"title":4017,"path":4018,"stem":4019},"Сокетне програмування та протокол TCP у Go","\u002Fclient-server-architecture\u002Ftcp-socket-programming","17.client-server-architecture\u002F04.tcp-socket-programming",{"title":4021,"path":4022,"stem":4023},"Протокол UDP та датаграмна передача даних","\u002Fclient-server-architecture\u002Fudp-datagram-transmission","17.client-server-architecture\u002F05.udp-datagram-transmission",{"title":4025,"path":4026,"stem":4027},"Криптографічний захист каналів зв","\u002Fclient-server-architecture\u002Ftls-cryptographic-channel-protection","17.client-server-architecture\u002F06.tls-cryptographic-channel-protection",{"title":4029,"path":4030,"stem":4031},"Прикладні мережеві протоколи DNS та SMTP","\u002Fclient-server-architecture\u002Fdns-smtp-application-protocols","17.client-server-architecture\u002F07.dns-smtp-application-protocols",{"title":4033,"path":4034,"stem":4035},"Протокол HTTP та стандартний вебсервер Go","\u002Fclient-server-architecture\u002Fhttp-protocol-and-web-server","17.client-server-architecture\u002F08.http-protocol-and-web-server",{"title":4037,"path":4038,"stem":4039},"Проєктування REST API та маршрутизація засобами Chi","\u002Fclient-server-architecture\u002Frest-api-design-and-chi-routing","17.client-server-architecture\u002F09.rest-api-design-and-chi-routing",{"title":4041,"path":4042,"stem":4043},"Лекція 10. Шарувата архітектура та конвеєри обробки запитів","\u002Fclient-server-architecture\u002Flayered-architecture-and-middleware-pipelines","17.client-server-architecture\u002F10.layered-architecture-and-middleware-pipelines",{"title":4045,"path":4046,"stem":4047},"Лекція 11. Архітектура та маршрутизація фреймворку Gin","\u002Fclient-server-architecture\u002Fgin-framework-architecture-and-routing","17.client-server-architecture\u002F11.gin-framework-architecture-and-routing",{"title":4049,"path":4050,"stem":4051},"Лекція 12. Валідація даних, безпека та документування у Gin","\u002Fclient-server-architecture\u002Fdata-validation-security-and-documentation-in-gin","17.client-server-architecture\u002F12.data-validation-security-and-documentation-in-gin",{"title":4053,"path":4054,"stem":4055},"Лекція 13. Взаємодія з реляційними СУБД та технології ORM","\u002Fclient-server-architecture\u002Frelational-databases-and-orm","17.client-server-architecture\u002F13.relational-databases-and-orm",{"title":4057,"path":4058,"stem":4059},"Потокова передача даних та протокол WebSocket","\u002Fclient-server-architecture\u002Fstreaming-data-and-websockets","17.client-server-architecture\u002F14.streaming-data-and-websockets",{"title":4061,"path":4062,"stem":4063},"Міжсервісна взаємодія на основі протоколу gRPC","\u002Fclient-server-architecture\u002Fgrpc-inter-service-communication","17.client-server-architecture\u002F15.grpc-inter-service-communication",{"title":4065,"path":4066,"stem":4067},"Асинхронний обмін повідомленнями та протоколи черг","\u002Fclient-server-architecture\u002Fasynchronous-message-exchange-and-queue-protocols","17.client-server-architecture\u002F16.asynchronous-message-exchange-and-queue-protocols",{"title":4069,"path":4070,"stem":4071},"Протоколи потокового медіа та технологія WebRTC","\u002Fclient-server-architecture\u002Fstreaming-media-protocols-and-webrtc","17.client-server-architecture\u002F17.streaming-media-protocols-and-webrtc",{"title":4073,"path":4074,"stem":4075},"Моніторинг, безпека та контейнеризація застосунків","\u002Fclient-server-architecture\u002Fmonitoring-security-and-containerization","17.client-server-architecture\u002F18.monitoring-security-and-containerization",{"title":4077,"icon":2134,"path":4078,"stem":4079,"children":4080,"page":59},"Розробка WEB-застосувань","\u002Fweb-development","18.web-development",[4081,4126,4164,4193,4222,4279,4329,4423,4489,4571,4604,4632,4674,4720,4763],{"title":4082,"icon":658,"path":4083,"stem":4084,"children":4085,"page":59},"Архітектура комп'ютерних мереж та мережеві протоколи","\u002Fweb-development\u002Fnetwork-architecture-and-protocols","18.web-development\u002F01.network-architecture-and-protocols",[4086,4090,4094,4098,4102,4106,4110,4114,4118,4122],{"title":4087,"path":4088,"stem":4089},"Еволюція веброзробки та модель клієнт-сервер","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fweb-evolution-client-server","18.web-development\u002F01.network-architecture-and-protocols\u002F01.web-evolution-client-server",{"title":4091,"path":4092,"stem":4093},"Еталонна модель OSI","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fosi-model","18.web-development\u002F01.network-architecture-and-protocols\u002F02.osi-model",{"title":4095,"path":4096,"stem":4097},"Стек протоколів TCP\u002FIP","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Ftcp-ip-stack","18.web-development\u002F01.network-architecture-and-protocols\u002F03.tcp-ip-stack",{"title":4099,"path":4100,"stem":4101},"IP-адресація, порти та сокети","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fip-addressing-ports-sockets","18.web-development\u002F01.network-architecture-and-protocols\u002F04.ip-addressing-ports-sockets",{"title":4103,"path":4104,"stem":4105},"Протоколи TCP та UDP","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Ftcp-udp-protocols","18.web-development\u002F01.network-architecture-and-protocols\u002F05.tcp-udp-protocols",{"title":4107,"path":4108,"stem":4109},"Система доменних імен DNS","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fdns-system","18.web-development\u002F01.network-architecture-and-protocols\u002F06.dns-system",{"title":4111,"path":4112,"stem":4113},"Протокол SMTP та поштові протоколи","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fsmtp-email-protocols","18.web-development\u002F01.network-architecture-and-protocols\u002F07.smtp-email-protocols",{"title":4115,"path":4116,"stem":4117},"Протокол WebSocket","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fwebsocket-protocol","18.web-development\u002F01.network-architecture-and-protocols\u002F08.websocket-protocol",{"title":4119,"path":4120,"stem":4121},"Протокол SSH","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fssh-protocol","18.web-development\u002F01.network-architecture-and-protocols\u002F09.ssh-protocol",{"title":4123,"path":4124,"stem":4125},"Огляд сучасних серверних технологій","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fmodern-backend-technologies","18.web-development\u002F01.network-architecture-and-protocols\u002F10.modern-backend-technologies",{"title":4127,"icon":4128,"path":4129,"stem":4130,"children":4131,"page":59},"Протокол HTTP та захищена передача даних HTTPS","i-lucide-lock","\u002Fweb-development\u002Fhttp-and-https","18.web-development\u002F02.http-and-https",[4132,4136,4140,4144,4148,4152,4156,4160],{"title":4133,"path":4134,"stem":4135},"Вступ до протоколу HTTP та еволюція веб-технологій","\u002Fweb-development\u002Fhttp-and-https\u002Fintroduction-and-evolution","18.web-development\u002F02.http-and-https\u002F01.introduction-and-evolution",{"title":4137,"path":4138,"stem":4139},"Анатомія HTTP-запиту","\u002Fweb-development\u002Fhttp-and-https\u002Fhttp-request-structure","18.web-development\u002F02.http-and-https\u002F02.http-request-structure",{"title":4141,"path":4142,"stem":4143},"Анатомія HTTP-відповіді","\u002Fweb-development\u002Fhttp-and-https\u002Fhttp-response-structure","18.web-development\u002F02.http-and-https\u002F03.http-response-structure",{"title":4145,"path":4146,"stem":4147},"Методи HTTP та їхня семантика","\u002Fweb-development\u002Fhttp-and-https\u002Fhttp-methods","18.web-development\u002F02.http-and-https\u002F04.http-methods",{"title":4149,"path":4150,"stem":4151},"Коди статусу HTTP та їхнє призначення","\u002Fweb-development\u002Fhttp-and-https\u002Fhttp-status-codes","18.web-development\u002F02.http-and-https\u002F05.http-status-codes",{"title":4153,"path":4154,"stem":4155},"HTTP-заголовки та їхнє призначення","\u002Fweb-development\u002Fhttp-and-https\u002Fhttp-headers","18.web-development\u002F02.http-and-https\u002F06.http-headers",{"title":4157,"path":4158,"stem":4159},"CORS та механізми безпеки HTTP","\u002Fweb-development\u002Fhttp-and-https\u002Fcors-and-security","18.web-development\u002F02.http-and-https\u002F07.cors-and-security",{"title":4161,"path":4162,"stem":4163},"HTTPS та криптографічні основи TLS","\u002Fweb-development\u002Fhttp-and-https\u002Fhttps-and-tls","18.web-development\u002F02.http-and-https\u002F08.https-and-tls",{"title":4165,"icon":2514,"path":4166,"stem":4167,"children":4168,"page":59},"Система типів мови TypeScript","\u002Fweb-development\u002Ftypescript-type-system","18.web-development\u002F03.typescript-type-system",[4169,4173,4177,4181,4185,4189],{"title":4170,"path":4171,"stem":4172},"Знайомство з TypeScript Compiler","\u002Fweb-development\u002Ftypescript-type-system\u002Fintroduction-compiler-config","18.web-development\u002F03.typescript-type-system\u002F01.introduction-compiler-config",{"title":4174,"path":4175,"stem":4176},"Примітивні типи даних: string, number, boolean","\u002Fweb-development\u002Ftypescript-type-system\u002Fprimitive-special-types","18.web-development\u002F03.typescript-type-system\u002F02.primitive-special-types",{"title":4178,"path":4179,"stem":4180},"Масиви, кортежі та об","\u002Fweb-development\u002Ftypescript-type-system\u002Farrays-tuples-objects","18.web-development\u002F03.typescript-type-system\u002F03.arrays-tuples-objects",{"title":4182,"path":4183,"stem":4184},"Псевдоніми типів, Union типи, Intersection типи та літеральні типи","\u002Fweb-development\u002Ftypescript-type-system\u002Funion-intersection-literals","18.web-development\u002F03.typescript-type-system\u002F04.union-intersection-literals",{"title":4186,"path":4187,"stem":4188},"Type Narrowing (звуження типів)","\u002Fweb-development\u002Ftypescript-type-system\u002Ftype-narrowing","18.web-development\u002F03.typescript-type-system\u002F05.type-narrowing",{"title":4190,"path":4191,"stem":4192},"Типізація функцій","\u002Fweb-development\u002Ftypescript-type-system\u002Ffunctions-typing","18.web-development\u002F03.typescript-type-system\u002F06.functions-typing",{"title":4194,"icon":2514,"path":4195,"stem":4196,"children":4197,"page":59},"Розширені засоби мови TypeScript","\u002Fweb-development\u002Ftypescript-advanced","18.web-development\u002F04.typescript-advanced",[4198,4202,4206,4210,4214,4218],{"title":4199,"path":4200,"stem":4201},"Interfaces та Classes","\u002Fweb-development\u002Ftypescript-advanced\u002Finterfaces-classes","18.web-development\u002F04.typescript-advanced\u002F01.interfaces-classes",{"title":4203,"path":4204,"stem":4205},"Основи Generic типів","\u002Fweb-development\u002Ftypescript-advanced\u002Fgenerics-fundamentals","18.web-development\u002F04.typescript-advanced\u002F02.generics-fundamentals",{"title":4207,"path":4208,"stem":4209},"Enums та Decorators","\u002Fweb-development\u002Ftypescript-advanced\u002Fenums-decorators","18.web-development\u002F04.typescript-advanced\u002F03.enums-decorators",{"title":4211,"path":4212,"stem":4213},"Utility Types","\u002Fweb-development\u002Ftypescript-advanced\u002Futility-types","18.web-development\u002F04.typescript-advanced\u002F04.utility-types",{"title":4215,"path":4216,"stem":4217},"Mapped та Conditional Types","\u002Fweb-development\u002Ftypescript-advanced\u002Fmapped-conditional-types","18.web-development\u002F04.typescript-advanced\u002F05.mapped-conditional-types",{"title":4219,"path":4220,"stem":4221},"Модулі та Strict Mode","\u002Fweb-development\u002Ftypescript-advanced\u002Fmodules-strict-mode","18.web-development\u002F04.typescript-advanced\u002F06.modules-strict-mode",{"title":4223,"icon":4224,"path":4225,"stem":4226,"children":4227,"page":59},"Платформа Node.js як середовище виконання","i-devicon-nodejs","\u002Fweb-development\u002Fnodejs-platform","18.web-development\u002F05.nodejs-platform",[4228,4232,4236,4240,4244,4248,4252,4256,4260,4264,4268,4271,4275],{"title":4229,"path":4230,"stem":4231},"Що таке Node.js та його архітектура","\u002Fweb-development\u002Fnodejs-platform\u002Fwhat-is-nodejs","18.web-development\u002F05.nodejs-platform\u002F01.what-is-nodejs",{"title":4233,"path":4234,"stem":4235},"Event Loop — серце Node.js","\u002Fweb-development\u002Fnodejs-platform\u002Fevent-loop","18.web-development\u002F05.nodejs-platform\u002F02.event-loop",{"title":4237,"path":4238,"stem":4239},"Модульні системи: CommonJS vs ES Modules","\u002Fweb-development\u002Fnodejs-platform\u002Fmodule-systems","18.web-development\u002F05.nodejs-platform\u002F03.module-systems",{"title":4241,"path":4242,"stem":4243},"npm та package.json","\u002Fweb-development\u002Fnodejs-platform\u002Fnpm-package-json","18.web-development\u002F05.nodejs-platform\u002F04.npm-package-json",{"title":4245,"path":4246,"stem":4247},"Глобальні об\\","\u002Fweb-development\u002Fnodejs-platform\u002Fglobal-objects","18.web-development\u002F05.nodejs-platform\u002F05.global-objects",{"title":4249,"path":4250,"stem":4251},"Вбудований модуль fs (File System)","\u002Fweb-development\u002Fnodejs-platform\u002Fbuilt-in-modules-fs","18.web-development\u002F05.nodejs-platform\u002F06.built-in-modules-fs",{"title":4253,"path":4254,"stem":4255},"Вбудований модуль path","\u002Fweb-development\u002Fnodejs-platform\u002Fbuilt-in-modules-path","18.web-development\u002F05.nodejs-platform\u002F07.built-in-modules-path",{"title":4257,"path":4258,"stem":4259},"Вбудований модуль http","\u002Fweb-development\u002Fnodejs-platform\u002Fbuilt-in-modules-http","18.web-development\u002F05.nodejs-platform\u002F08.built-in-modules-http",{"title":4261,"path":4262,"stem":4263},"Streams — потоки даних у Node.js","\u002Fweb-development\u002Fnodejs-platform\u002Fstreams","18.web-development\u002F05.nodejs-platform\u002F09.streams",{"title":4265,"path":4266,"stem":4267},"Вбудований модуль util (Utilities)","\u002Fweb-development\u002Fnodejs-platform\u002Fbuilt-in-modules-util","18.web-development\u002F05.nodejs-platform\u002F10.built-in-modules-util",{"title":3157,"path":4269,"stem":4270},"\u002Fweb-development\u002Fnodejs-platform\u002Fenvironment-variables","18.web-development\u002F05.nodejs-platform\u002F11.environment-variables",{"title":4272,"path":4273,"stem":4274},"Інструменти налагодження та розробки","\u002Fweb-development\u002Fnodejs-platform\u002Fdebugging-tools","18.web-development\u002F05.nodejs-platform\u002F12.debugging-tools",{"title":4276,"path":4277,"stem":4278},"Продуктивність та Best Practices","\u002Fweb-development\u002Fnodejs-platform\u002Fperformance-best-practices","18.web-development\u002F05.nodejs-platform\u002F13.performance-best-practices",{"title":4280,"icon":4281,"path":4282,"stem":4283,"children":4284,"page":59},"Асинхронне програмування у Node.js","i-lucide-clock","\u002Fweb-development\u002Fasync-programming-nodejs","18.web-development\u002F06.async-programming-nodejs",[4285,4289,4293,4297,4301,4305,4309,4313,4317,4321,4325],{"title":4286,"path":4287,"stem":4288},"Синхронний vs асинхронний код","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fsync-vs-async","18.web-development\u002F06.async-programming-nodejs\u002F01.sync-vs-async",{"title":4290,"path":4291,"stem":4292},"Callbacks — перша парадигма асинхронності","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fcallbacks","18.web-development\u002F06.async-programming-nodejs\u002F02.callbacks",{"title":4294,"path":4295,"stem":4296},"Promises — стандарт асинхронності","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fpromises","18.web-development\u002F06.async-programming-nodejs\u002F03.promises",{"title":4298,"path":4299,"stem":4300},"Promise комбінатори","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fpromise-combinators","18.web-development\u002F06.async-programming-nodejs\u002F04.promise-combinators",{"title":4302,"path":4303,"stem":4304},"Async\u002FAwait — синтаксичний цукор над Promises","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fasync-await","18.web-development\u002F06.async-programming-nodejs\u002F05.async-await",{"title":4306,"path":4307,"stem":4308},"Паралельне vs послідовне виконання","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fparallel-vs-sequential","18.web-development\u002F06.async-programming-nodejs\u002F06.parallel-vs-sequential",{"title":4310,"path":4311,"stem":4312},"EventEmitter — подієва модель Node.js","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fevent-emitter","18.web-development\u002F06.async-programming-nodejs\u002F07.event-emitter",{"title":4314,"path":4315,"stem":4316},"Worker Threads — багатопотоковість у Node.js","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fworker-threads","18.web-development\u002F06.async-programming-nodejs\u002F08.worker-threads",{"title":4318,"path":4319,"stem":4320},"Child Processes — запуск зовнішніх процесів","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fchild-processes","18.web-development\u002F06.async-programming-nodejs\u002F09.child-processes",{"title":4322,"path":4323,"stem":4324},"Обробка помилок у асинхронному коді","\u002Fweb-development\u002Fasync-programming-nodejs\u002Ferror-handling","18.web-development\u002F06.async-programming-nodejs\u002F10.error-handling",{"title":4326,"path":4327,"stem":4328},"Порівняння Node.js фреймворків","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fnodejs-frameworks","18.web-development\u002F06.async-programming-nodejs\u002F11.nodejs-frameworks",{"title":4330,"icon":4331,"path":4332,"stem":4333,"children":4334,"page":59},"Тема 7. Фреймворк NestJS. Контролери та маршрутизація","i-lucide-route","\u002Fweb-development\u002Fnestjs-controllers-routing","18.web-development\u002F07.nestjs-controllers-routing",[4335,4339,4343,4347,4351,4355,4359,4363,4367,4371,4375,4379,4383,4387,4391,4395,4399,4403,4407,4411,4415,4419],{"title":4336,"path":4337,"stem":4338},"Філософія та архітектура NestJS","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fnestjs-philosophy","18.web-development\u002F07.nestjs-controllers-routing\u002F01.nestjs-philosophy",{"title":4340,"path":4341,"stem":4342},"Три стовпи архітектури: модулі, контролери, провайдери","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fthree-pillars","18.web-development\u002F07.nestjs-controllers-routing\u002F02.three-pillars",{"title":4344,"path":4345,"stem":4346},"Інверсія керування (IoC) та ін","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fioc-and-di","18.web-development\u002F07.nestjs-controllers-routing\u002F03.ioc-and-di",{"title":4348,"path":4349,"stem":4350},"Встановлення NestJS CLI та створення проєкту","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fnestjs-cli-setup","18.web-development\u002F07.nestjs-controllers-routing\u002F04.nestjs-cli-setup",{"title":4352,"path":4353,"stem":4354},"Структура проєкту NestJS та конвенції","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fproject-structure","18.web-development\u002F07.nestjs-controllers-routing\u002F05.project-structure",{"title":4356,"path":4357,"stem":4358},"Контролери: основи маршрутизації","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fcontrollers-basics","18.web-development\u002F07.nestjs-controllers-routing\u002F06.controllers-basics",{"title":4360,"path":4361,"stem":4362},"Декоратори маршрутизації HTTP-методів","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Froute-decorators","18.web-development\u002F07.nestjs-controllers-routing\u002F07.route-decorators",{"title":4364,"path":4365,"stem":4366},"Параметри маршруту та декоратор @Param","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Froute-parameters","18.web-development\u002F07.nestjs-controllers-routing\u002F08.route-parameters",{"title":4368,"path":4369,"stem":4370},"Query-параметри та декоратор @Query","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fquery-parameters","18.web-development\u002F07.nestjs-controllers-routing\u002F09.query-parameters",{"title":4372,"path":4373,"stem":4374},"Тіло запиту та декоратор @Body","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Frequest-body","18.web-development\u002F07.nestjs-controllers-routing\u002F10.request-body",{"title":4376,"path":4377,"stem":4378},"Робота з заголовками запиту та відповіді","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fheaders-decorators","18.web-development\u002F07.nestjs-controllers-routing\u002F11.headers-decorators",{"title":4380,"path":4381,"stem":4382},"Data Transfer Objects (DTO): визначення та призначення","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fdto-introduction","18.web-development\u002F07.nestjs-controllers-routing\u002F12.dto-introduction",{"title":4384,"path":4385,"stem":4386},"Об'єкти Request та Response","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Frequest-response-objects","18.web-development\u002F07.nestjs-controllers-routing\u002F13.request-response-objects",{"title":4388,"path":4389,"stem":4390},"HTTP-статус коди та декоратор @HttpCode","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fhttp-status-codes","18.web-development\u002F07.nestjs-controllers-routing\u002F14.http-status-codes",{"title":4392,"path":4393,"stem":4394},"Перенаправлення (Redirects) та декоратор @Redirect","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fredirects","18.web-development\u002F07.nestjs-controllers-routing\u002F15.redirects",{"title":4396,"path":4397,"stem":4398},"Асинхронні обробники та Observables","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fasync-handlers","18.web-development\u002F07.nestjs-controllers-routing\u002F16.async-handlers",{"title":4400,"path":4401,"stem":4402},"Маршрутизація за піддоменами та версіонування API","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fsub-domain-routing","18.web-development\u002F07.nestjs-controllers-routing\u002F17.sub-domain-routing",{"title":4404,"path":4405,"stem":4406},"Області видимості контролерів (Scopes)","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fcontroller-scopes","18.web-development\u002F07.nestjs-controllers-routing\u002F18.controller-scopes",{"title":4408,"path":4409,"stem":4410},"Основні команди NestJS CLI","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fnestjs-cli-commands","18.web-development\u002F07.nestjs-controllers-routing\u002F19.nestjs-cli-commands",{"title":4412,"path":4413,"stem":4414},"Практичний приклад: створення CRUD-контролера","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fcrud-example","18.web-development\u002F07.nestjs-controllers-routing\u002F20.crud-example",{"title":4416,"path":4417,"stem":4418},"Тестування контролерів","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Ftesting-controllers","18.web-development\u002F07.nestjs-controllers-routing\u002F21.testing-controllers",{"title":4420,"path":4421,"stem":4422},"Best Practices для контролерів та маршрутизації","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fbest-practices","18.web-development\u002F07.nestjs-controllers-routing\u002F22.best-practices",{"title":4424,"icon":4425,"path":4426,"stem":4427,"children":4428,"page":59},"Тема 8. Провайдери, сервіси та модульна система NestJS","i-lucide-package","\u002Fweb-development\u002Fnestjs-providers-modules","18.web-development\u002F08.nestjs-providers-modules",[4429,4433,4437,4441,4445,4449,4453,4457,4461,4465,4469,4473,4477,4481,4485],{"title":4430,"path":4431,"stem":4432},"Концепція провайдерів у NestJS","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fproviders-concept","18.web-development\u002F08.nestjs-providers-modules\u002F01.providers-concept",{"title":4434,"path":4435,"stem":4436},"Сервіси: інкапсуляція бізнес-логіки","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fservices-business-logic","18.web-development\u002F08.nestjs-providers-modules\u002F02.services-business-logic",{"title":4438,"path":4439,"stem":4440},"Практика ін","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fdependency-injection-practice","18.web-development\u002F08.nestjs-providers-modules\u002F03.dependency-injection-practice",{"title":4442,"path":4443,"stem":4444},"Custom Providers: useValue, useClass, useFactory, useExisting","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fcustom-providers","18.web-development\u002F08.nestjs-providers-modules\u002F04.custom-providers",{"title":4446,"path":4447,"stem":4448},"Injection Tokens: рядкові та символьні токени","\u002Fweb-development\u002Fnestjs-providers-modules\u002Finjection-tokens","18.web-development\u002F08.nestjs-providers-modules\u002F05.injection-tokens",{"title":4450,"path":4451,"stem":4452},"Опціональні провайдери та декоратор @Optional","\u002Fweb-development\u002Fnestjs-providers-modules\u002Foptional-providers","18.web-development\u002F08.nestjs-providers-modules\u002F07.optional-providers",{"title":4454,"path":4455,"stem":4456},"Структура модулів: imports, controllers, providers, exports","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fmodules-structure","18.web-development\u002F08.nestjs-providers-modules\u002F08.modules-structure",{"title":4458,"path":4459,"stem":4460},"Feature Modules: ізоляція функціональності","\u002Fweb-development\u002Fnestjs-providers-modules\u002Ffeature-modules","18.web-development\u002F08.nestjs-providers-modules\u002F09.feature-modules",{"title":4462,"path":4463,"stem":4464},"Shared Modules: перевикористання провайдерів","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fshared-modules","18.web-development\u002F08.nestjs-providers-modules\u002F10.shared-modules",{"title":4466,"path":4467,"stem":4468},"Global Modules та декоратор @Global","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fglobal-modules","18.web-development\u002F08.nestjs-providers-modules\u002F11.global-modules",{"title":4470,"path":4471,"stem":4472},"Dynamic Modules: конфігурація під час виконання","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fdynamic-modules","18.web-development\u002F08.nestjs-providers-modules\u002F12.dynamic-modules",{"title":4474,"path":4475,"stem":4476},"Циклічні залежності та forwardRef","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fcircular-dependencies","18.web-development\u002F08.nestjs-providers-modules\u002F13.circular-dependencies",{"title":4478,"path":4479,"stem":4480},"Lifecycle Hooks: хуки життєвого циклу","\u002Fweb-development\u002Fnestjs-providers-modules\u002Flifecycle-hooks","18.web-development\u002F08.nestjs-providers-modules\u002F14.lifecycle-hooks",{"title":4482,"path":4483,"stem":4484},"ModuleRef: динамічний доступ до провайдерів","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fmodule-reference","18.web-development\u002F08.nestjs-providers-modules\u002F15.module-reference",{"title":4486,"path":4487,"stem":4488},"Тестування сервісів та провайдерів","\u002Fweb-development\u002Fnestjs-providers-modules\u002Ftesting-services","18.web-development\u002F08.nestjs-providers-modules\u002F16.testing-services",{"title":4490,"icon":4491,"path":4492,"stem":4493,"children":4494,"page":59},"Тема 9. Валідація даних та конвеєр обробки запитів у NestJS","i-lucide-filter","\u002Fweb-development\u002Fnestjs-validation-pipeline","18.web-development\u002F09.nestjs-validation-pipeline",[4495,4499,4503,4507,4511,4515,4519,4523,4527,4531,4535,4539,4543,4547,4551,4555,4559,4563,4567],{"title":4496,"path":4497,"stem":4498},"Request Pipeline: конвеєр обробки запитів","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Frequest-pipeline","18.web-development\u002F09.nestjs-validation-pipeline\u002F01.request-pipeline",{"title":4500,"path":4501,"stem":4502},"Pipes: концепція трансформації та валідації","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fpipes-concept","18.web-development\u002F09.nestjs-validation-pipeline\u002F02.pipes-concept",{"title":4504,"path":4505,"stem":4506},"Вбудовані pipes: ParseIntPipe, ParseBoolPipe, ParseUUIDPipe","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fbuilt-in-pipes","18.web-development\u002F09.nestjs-validation-pipeline\u002F03.built-in-pipes",{"title":4508,"path":4509,"stem":4510},"ValidationPipe: автоматична валідація DTO","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fvalidation-pipe","18.web-development\u002F09.nestjs-validation-pipeline\u002F04.validation-pipe",{"title":4512,"path":4513,"stem":4514},"Декоратори class-validator для DTO","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fclass-validator-decorators","18.web-development\u002F09.nestjs-validation-pipeline\u002F05.class-validator-decorators",{"title":4516,"path":4517,"stem":4518},"Створення кастомних валідаторів","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fcustom-validators","18.web-development\u002F09.nestjs-validation-pipeline\u002F06.custom-validators",{"title":4520,"path":4521,"stem":4522},"Створення власних Pipes","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fcustom-pipes","18.web-development\u002F09.nestjs-validation-pipeline\u002F07.custom-pipes",{"title":4524,"path":4525,"stem":4526},"Основи Middleware","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fmiddleware-basics","18.web-development\u002F09.nestjs-validation-pipeline\u002F08.middleware-basics",{"title":4528,"path":4529,"stem":4530},"Практичні приклади Middleware","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fmiddleware-examples","18.web-development\u002F09.nestjs-validation-pipeline\u002F09.middleware-examples",{"title":4532,"path":4533,"stem":4534},"Guards: захисні перехоплювачі доступу","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fguards-concept","18.web-development\u002F09.nestjs-validation-pipeline\u002F10.guards-concept",{"title":4536,"path":4537,"stem":4538},"Створення кастомних Guards","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fcustom-guards","18.web-development\u002F09.nestjs-validation-pipeline\u002F11.custom-guards",{"title":4540,"path":4541,"stem":4542},"Interceptors: перехоплення та трансформація відповідей","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Finterceptors-concept","18.web-development\u002F09.nestjs-validation-pipeline\u002F12.interceptors-concept",{"title":4544,"path":4545,"stem":4546},"Практичні приклади Interceptors","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Finterceptor-examples","18.web-development\u002F09.nestjs-validation-pipeline\u002F13.interceptor-examples",{"title":4548,"path":4549,"stem":4550},"Exception Filters: обробка виключень","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fexception-filters","18.web-development\u002F09.nestjs-validation-pipeline\u002F14.exception-filters",{"title":4552,"path":4553,"stem":4554},"Custom Exception Filters: спеціалізовані фільтри","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fcustom-exception-filters","18.web-development\u002F09.nestjs-validation-pipeline\u002F15.custom-exception-filters",{"title":4556,"path":4557,"stem":4558},"Execution Context: контекст виконання","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fexecution-context","18.web-development\u002F09.nestjs-validation-pipeline\u002F16.execution-context",{"title":4560,"path":4561,"stem":4562},"Custom Decorators: власні декоратори","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fcustom-decorators","18.web-development\u002F09.nestjs-validation-pipeline\u002F17.custom-decorators",{"title":4564,"path":4565,"stem":4566},"Global Components: глобальні компоненти","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fglobal-components","18.web-development\u002F09.nestjs-validation-pipeline\u002F18.global-components",{"title":4568,"path":4569,"stem":4570},"Pipeline Best Practices: найкращі практики","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fpipeline-best-practices","18.web-development\u002F09.nestjs-validation-pipeline\u002F19.pipeline-best-practices",{"title":4572,"icon":2881,"path":4573,"stem":4574,"children":4575,"page":59},"Інтеграція реляційних баз даних засобами TypeORM","\u002Fweb-development\u002Ftypeorm-integration","18.web-development\u002F10.typeorm-integration",[4576,4580,4584,4588,4592,4596,4600],{"title":4577,"path":4578,"stem":4579},"Робота з базами даних у Node.js через нативні драйвери","\u002Fweb-development\u002Ftypeorm-integration\u002F01-nodejs-database-drivers","18.web-development\u002F10.typeorm-integration\u002F01-nodejs-database-drivers",{"title":4581,"path":4582,"stem":4583},"ORM та знайомство з TypeORM","\u002Fweb-development\u002Ftypeorm-integration\u002F02-orm-and-typeorm-intro","18.web-development\u002F10.typeorm-integration\u002F02-orm-and-typeorm-intro",{"title":4585,"path":4586,"stem":4587},"Налаштування TypeORM у NestJS проєкті","\u002Fweb-development\u002Ftypeorm-integration\u002F03-typeorm-setup-nestjs","18.web-development\u002F10.typeorm-integration\u002F03-typeorm-setup-nestjs",{"title":4589,"path":4590,"stem":4591},"Entity класи та декоратори TypeORM","\u002Fweb-development\u002Ftypeorm-integration\u002F04-entities-and-decorators","18.web-development\u002F10.typeorm-integration\u002F04-entities-and-decorators",{"title":4593,"path":4594,"stem":4595},"Repository Pattern та CRUD операції","\u002Fweb-development\u002Ftypeorm-integration\u002F05-repository-pattern-crud","18.web-development\u002F10.typeorm-integration\u002F05-repository-pattern-crud",{"title":4597,"path":4598,"stem":4599},"Пагінація та фільтрація даних","\u002Fweb-development\u002Ftypeorm-integration\u002F06-pagination-filtering","18.web-development\u002F10.typeorm-integration\u002F06-pagination-filtering",{"title":4601,"path":4602,"stem":4603},"QueryBuilder для складних запитів","\u002Fweb-development\u002Ftypeorm-integration\u002F07-query-builder","18.web-development\u002F10.typeorm-integration\u002F07-query-builder",{"title":4605,"icon":4606,"path":4607,"stem":4608,"children":4609,"page":59},"Зв'язки між сутностями, міграції та оптимізація запитів","i-lucide-git-branch","\u002Fweb-development\u002Fentity-relations-migrations","18.web-development\u002F11.entity-relations-migrations",[4610,4614,4618,4622,4626],{"title":4611,"path":4612,"stem":4613},"Зв'язки One-to-Many та Many-to-One","\u002Fweb-development\u002Fentity-relations-migrations\u002F01-one-to-many-many-to-one","18.web-development\u002F11.entity-relations-migrations\u002F01-one-to-many-many-to-one",{"title":4615,"path":4616,"stem":4617},"Зв'язки One-to-One та Many-to-Many","\u002Fweb-development\u002Fentity-relations-migrations\u002F02-one-to-one-many-to-many","18.web-development\u002F11.entity-relations-migrations\u002F02-one-to-one-many-to-many",{"title":4619,"path":4620,"stem":4621},"Керування міграціями бази даних","\u002Fweb-development\u002Fentity-relations-migrations\u002F03-migrations-management","18.web-development\u002F11.entity-relations-migrations\u002F03-migrations-management",{"title":4623,"path":4624,"stem":4625},"Транзакції у TypeORM","\u002Fweb-development\u002Fentity-relations-migrations\u002F04-transactions","18.web-development\u002F11.entity-relations-migrations\u002F04-transactions",{"title":4627,"path":4628,"stem":4629,"children":4630},"Індекси та оптимізація запитів","\u002Fweb-development\u002Fentity-relations-migrations\u002F05-indexes-optimization","18.web-development\u002F11.entity-relations-migrations\u002F05-indexes-optimization",[4631],{"title":4627,"path":4628,"stem":4629},{"title":4633,"icon":4634,"path":4635,"stem":4636,"children":4637,"page":59},"Механізми автентифікації у вебзастосунках","i-lucide-key","\u002Fweb-development\u002Fauthentication","18.web-development\u002F12.authentication",[4638,4642,4646,4650,4654,4658,4662,4666,4670],{"title":4639,"path":4640,"stem":4641},"Автентифікація vs Авторизація","\u002Fweb-development\u002Fauthentication\u002F01-authentication-vs-authorization","18.web-development\u002F12.authentication\u002F01-authentication-vs-authorization",{"title":4643,"path":4644,"stem":4645},"Стратегії автентифікації","\u002Fweb-development\u002Fauthentication\u002F02-authentication-strategies","18.web-development\u002F12.authentication\u002F02-authentication-strategies",{"title":4647,"path":4648,"stem":4649},"Автентифікація на основі сесій","\u002Fweb-development\u002Fauthentication\u002F03-session-based-authentication","18.web-development\u002F12.authentication\u002F03-session-based-authentication",{"title":4651,"path":4652,"stem":4653},"Структура JSON Web Token (JWT)","\u002Fweb-development\u002Fauthentication\u002F04-jwt-structure","18.web-development\u002F12.authentication\u002F04-jwt-structure",{"title":4655,"path":4656,"stem":4657},"Інтеграція JWT у NestJS","\u002Fweb-development\u002Fauthentication\u002F05-nestjs-jwt-integration","18.web-development\u002F12.authentication\u002F05-nestjs-jwt-integration",{"title":4659,"path":4660,"stem":4661},"Passport.js стратегії у NestJS","\u002Fweb-development\u002Fauthentication\u002F06-passport-strategies","18.web-development\u002F12.authentication\u002F06-passport-strategies",{"title":4663,"path":4664,"stem":4665},"Безпечне зберігання паролів: хешування та криптографічний захист","\u002Fweb-development\u002Fauthentication\u002F07-password-hashing","18.web-development\u002F12.authentication\u002F07-password-hashing",{"title":4667,"path":4668,"stem":4669},"Refresh Token та безпечне оновлення доступу","\u002Fweb-development\u002Fauthentication\u002F08-refresh-tokens","18.web-development\u002F12.authentication\u002F08-refresh-tokens",{"title":4671,"path":4672,"stem":4673},"OAuth 2.0 та OpenID Connect: делегована автентифікація","\u002Fweb-development\u002Fauthentication\u002F09-oauth2-openid","18.web-development\u002F12.authentication\u002F09-oauth2-openid",{"title":4675,"icon":4676,"path":4677,"stem":4678,"children":4679,"page":59},"Авторизація та безпека серверних застосунків","i-lucide-shield","\u002Fweb-development\u002Fauthorization-security","18.web-development\u002F13.authorization-security",[4680,4684,4688,4692,4696,4700,4704,4708,4712,4716],{"title":4681,"path":4682,"stem":4683},"Моделі авторизації","\u002Fweb-development\u002Fauthorization-security\u002F01-authorization-models","18.web-development\u002F13.authorization-security\u002F01-authorization-models",{"title":4685,"path":4686,"stem":4687},"Реалізація RBAC у NestJS","\u002Fweb-development\u002Fauthorization-security\u002F02-rbac-implementation","18.web-development\u002F13.authorization-security\u002F02-rbac-implementation",{"title":4689,"path":4690,"stem":4691},"Permission-Based Access Control","\u002Fweb-development\u002Fauthorization-security\u002F03-permission-based-access","18.web-development\u002F13.authorization-security\u002F03-permission-based-access",{"title":4693,"path":4694,"stem":4695},"ABAC та бібліотека CASL","\u002Fweb-development\u002Fauthorization-security\u002F04-abac-casl","18.web-development\u002F13.authorization-security\u002F04-abac-casl",{"title":4697,"path":4698,"stem":4699},"Кастомні декоратори та метадані","\u002Fweb-development\u002Fauthorization-security\u002F05-custom-decorators-metadata","18.web-development\u002F13.authorization-security\u002F05-custom-decorators-metadata",{"title":4701,"path":4702,"stem":4703},"Конфігурація CORS","\u002Fweb-development\u002Fauthorization-security\u002F06-cors-configuration","18.web-development\u002F13.authorization-security\u002F06-cors-configuration",{"title":4705,"path":4706,"stem":4707},"Захист через HTTP Security Headers (Helmet)","\u002Fweb-development\u002Fauthorization-security\u002F07-helmet-security-headers","18.web-development\u002F13.authorization-security\u002F07-helmet-security-headers",{"title":4709,"path":4710,"stem":4711},"Rate Limiting та Throttling","\u002Fweb-development\u002Fauthorization-security\u002F08-rate-limiting-throttling","18.web-development\u002F13.authorization-security\u002F08-rate-limiting-throttling",{"title":4713,"path":4714,"stem":4715},"Захист від поширених атак","\u002Fweb-development\u002Fauthorization-security\u002F09-common-attacks-protection","18.web-development\u002F13.authorization-security\u002F09-common-attacks-protection",{"title":4717,"path":4718,"stem":4719},"HTTPS у продакшені","\u002Fweb-development\u002Fauthorization-security\u002F10-https-production","18.web-development\u002F13.authorization-security\u002F10-https-production",{"title":4721,"icon":871,"path":4722,"stem":4723,"children":4724,"page":59},"Комунікація у реальному часі, нотифікації та фонові задачі","\u002Fweb-development\u002Frealtime-notifications-jobs","18.web-development\u002F14.realtime-notifications-jobs",[4725,4729,4733,4737,4741,4745,4748,4751,4755,4759],{"title":4726,"path":4727,"stem":4728},"Методи комунікації у реальному часі","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F01-realtime-communication-methods","18.web-development\u002F14.realtime-notifications-jobs\u002F01-realtime-communication-methods",{"title":4730,"path":4731,"stem":4732},"WebSocket Gateway у NestJS","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F02-websocket-gateway","18.web-development\u002F14.realtime-notifications-jobs\u002F02-websocket-gateway",{"title":4734,"path":4735,"stem":4736},"Lifecycle та Rooms у WebSocket","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F03-websocket-lifecycle-rooms","18.web-development\u002F14.realtime-notifications-jobs\u002F03-websocket-lifecycle-rooms",{"title":4738,"path":4739,"stem":4740},"Server-Sent Events (SSE)","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F04-server-sent-events","18.web-development\u002F14.realtime-notifications-jobs\u002F04-server-sent-events",{"title":4742,"path":4743,"stem":4744},"Архітектура системи нотифікацій","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F05-notification-system","18.web-development\u002F14.realtime-notifications-jobs\u002F05-notification-system",{"title":904,"path":4746,"stem":4747},"\u002Fweb-development\u002Frealtime-notifications-jobs\u002F06-email-notifications","18.web-development\u002F14.realtime-notifications-jobs\u002F06-email-notifications",{"title":900,"path":4749,"stem":4750},"\u002Fweb-development\u002Frealtime-notifications-jobs\u002F07-web-push-notifications","18.web-development\u002F14.realtime-notifications-jobs\u002F07-web-push-notifications",{"title":4752,"path":4753,"stem":4754},"Фонові задачі та черги","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F08-background-jobs-queues","18.web-development\u002F14.realtime-notifications-jobs\u002F08-background-jobs-queues",{"title":4756,"path":4757,"stem":4758},"Планувальники та Cron jobs","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F09-schedulers-cron","18.web-development\u002F14.realtime-notifications-jobs\u002F09-schedulers-cron",{"title":4760,"path":4761,"stem":4762},"Практичні сценарії застосування","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F10-practical-scenarios","18.web-development\u002F14.realtime-notifications-jobs\u002F10-practical-scenarios",{"title":4764,"icon":4765,"path":4766,"stem":4767,"children":4768,"page":59},"Тестування, документування та розгортання застосунків","i-lucide-rocket","\u002Fweb-development\u002Ftesting-documentation-deployment","18.web-development\u002F15.testing-documentation-deployment",[4769,4773,4777,4781,4785,4789,4793,4797,4801,4805],{"title":4770,"path":4771,"stem":4772},"Піраміда тестування та стратегія","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F01-testing-pyramid-strategy","18.web-development\u002F15.testing-documentation-deployment\u002F01-testing-pyramid-strategy",{"title":4774,"path":4775,"stem":4776},"Основи Jest у NestJS","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F02-jest-nestjs-basics","18.web-development\u002F15.testing-documentation-deployment\u002F02-jest-nestjs-basics",{"title":4778,"path":4779,"stem":4780},"Unit-тестування сервісів","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F03-unit-testing-services","18.web-development\u002F15.testing-documentation-deployment\u002F03-unit-testing-services",{"title":4782,"path":4783,"stem":4784},"E2E тестування та покриття коду","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F04-e2e-testing-coverage","18.web-development\u002F15.testing-documentation-deployment\u002F04-e2e-testing-coverage",{"title":4786,"path":4787,"stem":4788},"Swagger, OpenAPI, Scalar та Arazzo","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F05-swagger-openapi","18.web-development\u002F15.testing-documentation-deployment\u002F05-swagger-openapi",{"title":4790,"path":4791,"stem":4792},"Керування конфігурацією","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F06-configuration-management","18.web-development\u002F15.testing-documentation-deployment\u002F06-configuration-management",{"title":4794,"path":4795,"stem":4796},"Docker та контейнеризація","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F07-docker-containerization","18.web-development\u002F15.testing-documentation-deployment\u002F07-docker-containerization",{"title":4798,"path":4799,"stem":4800},"CI\u002FCD Pipelines","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F08-cicd-pipelines","18.web-development\u002F15.testing-documentation-deployment\u002F08-cicd-pipelines",{"title":4802,"path":4803,"stem":4804},"Логування та моніторинг","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F09-logging-monitoring","18.web-development\u002F15.testing-documentation-deployment\u002F09-logging-monitoring",{"title":4806,"path":4807,"stem":4808},"Серіалізація та компресія","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F10-serialization-compression","18.web-development\u002F15.testing-documentation-deployment\u002F10-serialization-compression",{"title":4810,"icon":4811,"path":4812,"stem":4813,"children":4814,"page":59},"AI Core: мислення AI","i-lucide-brain","\u002Fai-core","19.ai-core",[4815,4856,4905,4943],{"title":4816,"icon":4765,"path":4817,"stem":4818,"children":4819,"page":59},"Вхід у професію AI Native Developer","\u002Fai-core\u002Fai-native-developer","19.ai-core\u002F01.ai-native-developer",[4820,4824,4828,4832,4836,4840,4844,4848,4852],{"title":4821,"path":4822,"stem":4823},"Вступ до професії розробника цифрових продуктів","\u002Fai-core\u002Fai-native-developer\u002Fdigital-products","19.ai-core\u002F01.ai-native-developer\u002F01.digital-products",{"title":4825,"path":4826,"stem":4827},"Професія розробника програмного забезпечення","\u002Fai-core\u002Fai-native-developer\u002Fsoftware-developer","19.ai-core\u002F01.ai-native-developer\u002F02.software-developer",{"title":4829,"path":4830,"stem":4831},"Професія AI Native Developer","\u002Fai-core\u002Fai-native-developer\u002Fai-native-developer","19.ai-core\u002F01.ai-native-developer\u002F03.ai-native-developer",{"title":4833,"path":4834,"stem":4835},"Вплив AI на розробку програмного забезпечення","\u002Fai-core\u002Fai-native-developer\u002Fai-impact-on-development","19.ai-core\u002F01.ai-native-developer\u002F04.ai-impact-on-development",{"title":4837,"path":4838,"stem":4839},"Життєвий цикл цифрового продукту","\u002Fai-core\u002Fai-native-developer\u002Fproduct-lifecycle","19.ai-core\u002F01.ai-native-developer\u002F05.product-lifecycle",{"title":4841,"path":4842,"stem":4843},"Застосування AI на етапах створення цифрового продукту","\u002Fai-core\u002Fai-native-developer\u002Fai-in-product-creation","19.ai-core\u002F01.ai-native-developer\u002F06.ai-in-product-creation",{"title":4845,"path":4846,"stem":4847},"Розподіл завдань між людиною та AI","\u002Fai-core\u002Fai-native-developer\u002Fhuman-vs-ai-tasks","19.ai-core\u002F01.ai-native-developer\u002F07.human-vs-ai-tasks",{"title":4849,"path":4850,"stem":4851},"Компетенції AI Native Developer","\u002Fai-core\u002Fai-native-developer\u002Fcompetencies","19.ai-core\u002F01.ai-native-developer\u002F08.competencies",{"title":4853,"path":4854,"stem":4855},"Карта професійного розвитку AI Native Developer","\u002Fai-core\u002Fai-native-developer\u002Fcareer-roadmap","19.ai-core\u002F01.ai-native-developer\u002F09.career-roadmap",{"title":4857,"icon":255,"path":4858,"stem":4859,"children":4860,"page":59},"Штучний інтелект і машинне навчання","\u002Fai-core\u002Fai-and-machine-learning","19.ai-core\u002F02.ai-and-machine-learning",[4861,4865,4869,4873,4877,4881,4885,4889,4893,4897,4901],{"title":4862,"path":4863,"stem":4864},"Штучний інтелект","\u002Fai-core\u002Fai-and-machine-learning\u002Fwhat-is-ai","19.ai-core\u002F02.ai-and-machine-learning\u002F01.what-is-ai",{"title":4866,"path":4867,"stem":4868},"Відмінність AI від інших програмних систем","\u002Fai-core\u002Fai-and-machine-learning\u002Fai-vs-automation","19.ai-core\u002F02.ai-and-machine-learning\u002F02.ai-vs-automation",{"title":4870,"path":4871,"stem":4872},"Завдання штучного інтелекту","\u002Fai-core\u002Fai-and-machine-learning\u002Fai-tasks","19.ai-core\u002F02.ai-and-machine-learning\u002F03.ai-tasks",{"title":4874,"path":4875,"stem":4876},"Machine Learning","\u002Fai-core\u002Fai-and-machine-learning\u002Fmachine-learning","19.ai-core\u002F02.ai-and-machine-learning\u002F04.machine-learning",{"title":4878,"path":4879,"stem":4880},"Machine Learning Workflow","\u002Fai-core\u002Fai-and-machine-learning\u002Fml-workflow","19.ai-core\u002F02.ai-and-machine-learning\u002F05.ml-workflow",{"title":4882,"path":4883,"stem":4884},"Типи машинного навчання","\u002Fai-core\u002Fai-and-machine-learning\u002Fml-types","19.ai-core\u002F02.ai-and-machine-learning\u002F06.ml-types",{"title":4886,"path":4887,"stem":4888},"Generative AI","\u002Fai-core\u002Fai-and-machine-learning\u002Fgenerative-ai","19.ai-core\u002F02.ai-and-machine-learning\u002F07.generative-ai",{"title":4890,"path":4891,"stem":4892},"Типи контенту, створюваного AI","\u002Fai-core\u002Fai-and-machine-learning\u002Fai-content-types","19.ai-core\u002F02.ai-and-machine-learning\u002F08.ai-content-types",{"title":4894,"path":4895,"stem":4896},"Великі мовні моделі","\u002Fai-core\u002Fai-and-machine-learning\u002Flarge-language-models","19.ai-core\u002F02.ai-and-machine-learning\u002F09.large-language-models",{"title":4898,"path":4899,"stem":4900},"Можливості та обмеження Generative AI","\u002Fai-core\u002Fai-and-machine-learning\u002Fcapabilities-and-limitations","19.ai-core\u002F02.ai-and-machine-learning\u002F10.capabilities-and-limitations",{"title":4902,"path":4903,"stem":4904},"Сучасні AI-асистенти","\u002Fai-core\u002Fai-and-machine-learning\u002Fmodern-ai-assistants","19.ai-core\u002F02.ai-and-machine-learning\u002F11.modern-ai-assistants",{"title":4906,"icon":4907,"path":4908,"stem":4909,"children":4910,"page":59},"Постановка завдань для AI: принципи створення промптів","i-lucide-message-square-text","\u002Fai-core\u002Fprompt-engineering","19.ai-core\u002F03.prompt-engineering",[4911,4915,4919,4923,4927,4931,4935,4939],{"title":4912,"path":4913,"stem":4914},"Промпт як інструмент","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-as-tool","19.ai-core\u002F03.prompt-engineering\u002F01.prompt-as-tool",{"title":4916,"path":4917,"stem":4918},"Принципи створення промптів","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-principles","19.ai-core\u002F03.prompt-engineering\u002F02.prompt-principles",{"title":4920,"path":4921,"stem":4922},"Структура промпта","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-structure","19.ai-core\u002F03.prompt-engineering\u002F03.prompt-structure",{"title":4924,"path":4925,"stem":4926},"Види промптів за типом задачі","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-types","19.ai-core\u002F03.prompt-engineering\u002F04.prompt-types",{"title":4928,"path":4929,"stem":4930},"Прийоми посилення промпта","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-enhancement","19.ai-core\u002F03.prompt-engineering\u002F05.prompt-enhancement",{"title":4932,"path":4933,"stem":4934},"Розбір і покращення промпта","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-analysis","19.ai-core\u002F03.prompt-engineering\u002F06.prompt-analysis",{"title":4936,"path":4937,"stem":4938},"Типові помилки під час створення промптів","\u002Fai-core\u002Fprompt-engineering\u002Fcommon-mistakes","19.ai-core\u002F03.prompt-engineering\u002F07.common-mistakes",{"title":4940,"path":4941,"stem":4942},"Практикум: особиста бібліотека промптів","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-library","19.ai-core\u002F03.prompt-engineering\u002F08.prompt-library",{"title":4944,"icon":793,"path":4945,"stem":4946,"children":4947,"page":59},"Перевірка результатів, безпека та AI Native Workflow","\u002Fai-core\u002Fverification-security-workflow","19.ai-core\u002F04.verification-security-workflow",[4948,4952,4956,4960,4964,4968,4972,4976,4980],{"title":4949,"path":4950,"stem":4951},"Межі можливостей AI","\u002Fai-core\u002Fverification-security-workflow\u002Fai-limitations","19.ai-core\u002F04.verification-security-workflow\u002F01.ai-limitations",{"title":4953,"path":4954,"stem":4955},"Галюцинації AI","\u002Fai-core\u002Fverification-security-workflow\u002Fai-hallucinations","19.ai-core\u002F04.verification-security-workflow\u002F02.ai-hallucinations",{"title":4957,"path":4958,"stem":4959},"Критичне мислення під час роботи з AI","\u002Fai-core\u002Fverification-security-workflow\u002Fcritical-thinking","19.ai-core\u002F04.verification-security-workflow\u002F03.critical-thinking",{"title":4961,"path":4962,"stem":4963},"Перевірка результатів роботи AI","\u002Fai-core\u002Fverification-security-workflow\u002Fresult-verification","19.ai-core\u002F04.verification-security-workflow\u002F04.result-verification",{"title":4965,"path":4966,"stem":4967},"Захист даних під час роботи з AI","\u002Fai-core\u002Fverification-security-workflow\u002Fdata-protection","19.ai-core\u002F04.verification-security-workflow\u002F05.data-protection",{"title":4969,"path":4970,"stem":4971},"Авторське право та навчальна доброчесність","\u002Fai-core\u002Fverification-security-workflow\u002Fcopyright-integrity","19.ai-core\u002F04.verification-security-workflow\u002F06.copyright-integrity",{"title":4973,"path":4974,"stem":4975},"Відповідальне використання AI","\u002Fai-core\u002Fverification-security-workflow\u002Fresponsible-use","19.ai-core\u002F04.verification-security-workflow\u002F07.responsible-use",{"title":4977,"path":4978,"stem":4979},"AI Native Workflow","\u002Fai-core\u002Fverification-security-workflow\u002Fai-native-workflow","19.ai-core\u002F04.verification-security-workflow\u002F08.ai-native-workflow",{"title":4981,"path":4982,"stem":4983},"Застосування AI Native Workflow під час створення цифрового продукту","\u002Fai-core\u002Fverification-security-workflow\u002Fworkflow-in-practice","19.ai-core\u002F04.verification-security-workflow\u002F09.workflow-in-practice",{"title":4985,"icon":4986,"path":4987,"stem":4988,"children":4989,"page":59},"AI Developer: Vibe Coding Sprint","i-lucide-code-xml","\u002Fai-developer","20.ai-developer",[4990,5016,5038,5059],{"title":4991,"icon":4992,"path":4993,"stem":4994,"children":4995,"page":59},"Проєктування і чорнова версія","i-lucide-pencil-ruler","\u002Fai-developer\u002Fdraft-creation","20.ai-developer\u002F01.draft-creation",[4996,5000,5004,5008,5012],{"title":4997,"path":4998,"stem":4999},"Парадигма Vibe Coding Workflow","\u002Fai-developer\u002Fdraft-creation\u002Fvibe-coding-workflow","20.ai-developer\u002F01.draft-creation\u002F01.vibe-coding-workflow",{"title":5001,"path":5002,"stem":5003},"AI-середовище швидкої розробки","\u002Fai-developer\u002Fdraft-creation\u002Fai-ide-environment","20.ai-developer\u002F01.draft-creation\u002F02.ai-ide-environment",{"title":5005,"path":5006,"stem":5007},"Користувацьке завдання та межі першої версії","\u002Fai-developer\u002Fdraft-creation\u002Fproduct-scope-and-mvp","20.ai-developer\u002F01.draft-creation\u002F03.product-scope-and-mvp",{"title":5009,"path":5010,"stem":5011},"Архітектура інтерфейсу та стани застосунку","\u002Fai-developer\u002Fdraft-creation\u002Fapplication-architecture-and-states","20.ai-developer\u002F01.draft-creation\u002F04.application-architecture-and-states",{"title":5013,"path":5014,"stem":5015},"Генерація та фіксація чорнової версії","\u002Fai-developer\u002Fdraft-creation\u002Fgenerating-draft-version","20.ai-developer\u002F01.draft-creation\u002F05.generating-draft-version",{"title":5017,"icon":5018,"path":5019,"stem":5020,"children":5021,"page":59},"Перша робоча версія","i-lucide-play-circle","\u002Fai-developer\u002Ffirst-working-version","20.ai-developer\u002F02.first-working-version",[5022,5026,5030,5034],{"title":5023,"path":5024,"stem":5025},"Уточнення контексту проєкту для AI","\u002Fai-developer\u002Ffirst-working-version\u002Frefining-project-context","20.ai-developer\u002F02.first-working-version\u002F01.refining-project-context",{"title":5027,"path":5028,"stem":5029},"Стратегія завдань для AI-розробки","\u002Fai-developer\u002Ffirst-working-version\u002Fai-prompting-strategy","20.ai-developer\u002F02.first-working-version\u002F02.ai-prompting-strategy",{"title":5031,"path":5032,"stem":5033},"Доопрацювання до першої робочої версії","\u002Fai-developer\u002Ffirst-working-version\u002Frefining-to-working-version","20.ai-developer\u002F02.first-working-version\u002F03.refining-to-working-version",{"title":5035,"path":5036,"stem":5037},"Перевірка першої робочої версії","\u002Fai-developer\u002Ffirst-working-version\u002Ftesting-first-working-version","20.ai-developer\u002F02.first-working-version\u002F04.testing-first-working-version",{"title":5039,"icon":3088,"path":5040,"stem":5041,"children":5042,"page":59},"Ітерації, дебагінг та відновлення","\u002Fai-developer\u002Fiteration-debugging-recovery","20.ai-developer\u002F03.iteration-debugging-recovery",[5043,5047,5051,5055],{"title":5044,"path":5045,"stem":5046},"Управління точковими змінами продукту","\u002Fai-developer\u002Fiteration-debugging-recovery\u002Fchange-management","20.ai-developer\u002F03.iteration-debugging-recovery\u002F01.change-management",{"title":5048,"path":5049,"stem":5050},"Надійність інтерфейсу та обробка помилок","\u002Fai-developer\u002Fiteration-debugging-recovery\u002Fscenario-reliability-and-errors","20.ai-developer\u002F03.iteration-debugging-recovery\u002F02.scenario-reliability-and-errors",{"title":5052,"path":5053,"stem":5054},"Керування контекстом і збереження версій","\u002Fai-developer\u002Fiteration-debugging-recovery\u002Fproject-context-and-versions","20.ai-developer\u002F03.iteration-debugging-recovery\u002F03.project-context-and-versions",{"title":5056,"path":5057,"stem":5058},"Збої AI-розробки, ліміти та аварійне відновлення","\u002Fai-developer\u002Fiteration-debugging-recovery\u002Fai-breakdowns-and-recovery","20.ai-developer\u002F03.iteration-debugging-recovery\u002F04.ai-breakdowns-and-recovery",{"title":5060,"icon":5061,"path":5062,"stem":5063,"children":5064,"page":59},"Перевірка та завершення продукту","i-lucide-check-check","\u002Fai-developer\u002Fverification-and-completion","20.ai-developer\u002F04.verification-and-completion",[5065,5069,5073],{"title":5066,"path":5067,"stem":5068},"Комплексний аудит та підсумкове тестування","\u002Fai-developer\u002Fverification-and-completion\u002Ffinal-product-testing","20.ai-developer\u002F04.verification-and-completion\u002F01.final-product-testing",{"title":5070,"path":5071,"stem":5072},"Підготовка підсумкової версії коду","\u002Fai-developer\u002Fverification-and-completion\u002Fpreparing-release-version","20.ai-developer\u002F04.verification-and-completion\u002F02.preparing-release-version",{"title":5074,"path":5075,"stem":5076},"Демонстрація, публікація та критерії оцінювання","\u002Fai-developer\u002Fverification-and-completion\u002Fproduct-showcase-and-publishing","20.ai-developer\u002F04.verification-and-completion\u002F03.product-showcase-and-publishing",{"title":5078,"path":5079,"stem":5080,"children":5081,"page":59},"Tailwind","\u002Ftailwind","21.tailwind",[5082,5086,5090,5094,5098,5102,5106,5110,5114,5118,5122,5126],{"title":5083,"path":5084,"stem":5085},"Що таке Tailwind CSS і навіщо він потрібен","\u002Ftailwind\u002Ftailwind-intro-philosophy","21.tailwind\u002F01.tailwind-intro-philosophy",{"title":5087,"path":5088,"stem":5089},"Встановлення та налаштування Tailwind CSS v4","\u002Ftailwind\u002Ftailwind-installation-setup","21.tailwind\u002F02.tailwind-installation-setup",{"title":5091,"path":5092,"stem":5093},"Utility-класи: основи та система Tailwind","\u002Ftailwind\u002Ftailwind-utility-classes-core","21.tailwind\u002F03.tailwind-utility-classes-core",{"title":5095,"path":5096,"stem":5097},"Layout: Flexbox та Grid через Tailwind","\u002Ftailwind\u002Ftailwind-flexbox-grid","21.tailwind\u002F04.tailwind-flexbox-grid",{"title":5099,"path":5100,"stem":5101},"Кастомізація теми через @theme у Tailwind v4","\u002Ftailwind\u002Ftailwind-theme-customization","21.tailwind\u002F05.tailwind-theme-customization",{"title":5103,"path":5104,"stem":5105},"Варіанти: hover, focus, responsive, dark mode та нові v4","\u002Ftailwind\u002Ftailwind-variants-states","21.tailwind\u002F06.tailwind-variants-states",{"title":5107,"path":5108,"stem":5109},"Типографіка та система кольорів у Tailwind v4","\u002Ftailwind\u002Ftailwind-typography-colors","21.tailwind\u002F07.tailwind-typography-colors",{"title":5111,"path":5112,"stem":5113},"Компоненти та повторюваність: @apply, @utility та патерни","\u002Ftailwind\u002Ftailwind-components-patterns","21.tailwind\u002F08.tailwind-components-patterns",{"title":5115,"path":5116,"stem":5117},"Темна тема та система дизайн-токенів у Tailwind v4","\u002Ftailwind\u002Ftailwind-dark-mode-theming","21.tailwind\u002F09.tailwind-dark-mode-theming",{"title":5119,"path":5120,"stem":5121},"Довільні значення та контейнерні запити у Tailwind v4","\u002Ftailwind\u002Ftailwind-arbitrary-container-queries","21.tailwind\u002F10.tailwind-arbitrary-container-queries",{"title":5123,"path":5124,"stem":5125},"Анімації, трансформації та 3D у Tailwind v4","\u002Ftailwind\u002Ftailwind-animations-transforms","21.tailwind\u002F11.tailwind-animations-transforms",{"title":5127,"path":5128,"stem":5129},"Tailwind CLI, PostCSS та інтеграція з фреймворками","\u002Ftailwind\u002Ftailwind-cli-tooling","21.tailwind\u002F12.tailwind-cli-tooling",{"title":5131,"path":5132,"stem":5133,"children":5134,"page":59},"React Typescript","\u002Freact-typescript","22.react-typescript",[5135,5160,5164,5168,5172,5176,5180,5184,5188,5192,5222,5226,5230,5234,5238],{"title":5136,"path":5137,"stem":5138,"children":5139,"page":59},"From Html To Project","\u002Freact-typescript\u002Ffrom-html-to-project","22.react-typescript\u002F01.from-html-to-project",[5140,5144,5148,5152,5156],{"title":5141,"path":5142,"stem":5143},"Від одного HTML-файлу до повноцінного проєкту","\u002Freact-typescript\u002Ffrom-html-to-project\u002Fevolution","22.react-typescript\u002F01.from-html-to-project\u002F01.evolution",{"title":5145,"path":5146,"stem":5147},"Що таке React","\u002Freact-typescript\u002Ffrom-html-to-project\u002Fwhat-is-react","22.react-typescript\u002F01.from-html-to-project\u002F02.what-is-react",{"title":5149,"path":5150,"stem":5151},"JSX та TSX — синтаксичний цукор, а не магія","\u002Freact-typescript\u002Ffrom-html-to-project\u002Fjsx-tsx-syntax","22.react-typescript\u002F01.from-html-to-project\u002F03.jsx-tsx-syntax",{"title":5153,"path":5154,"stem":5155},"Компоненти — будівельні блоки інтерфейсу","\u002Freact-typescript\u002Ffrom-html-to-project\u002Fcomponents","22.react-typescript\u002F01.from-html-to-project\u002F04.components",{"title":5157,"path":5158,"stem":5159},"JSX — розмітка всередині TypeScript","\u002Freact-typescript\u002Ffrom-html-to-project\u002Fjsx-expressions","22.react-typescript\u002F01.from-html-to-project\u002F05.jsx-expressions",{"title":5161,"path":5162,"stem":5163},"Хук useReducer: структуроване управління складним станом","\u002Freact-typescript\u002Fuse-reducer","22.react-typescript\u002F23.use-reducer",{"title":5165,"path":5166,"stem":5167},"Context API: передавання даних без «пропс-дрілінгу»","\u002Freact-typescript\u002Fcontext-api","22.react-typescript\u002F24.context-api",{"title":5169,"path":5170,"stem":5171},"Синхронізація з ефектами: хук useEffect та функції очищення","\u002Freact-typescript\u002Fuse-effect","22.react-typescript\u002F27.use-effect",{"title":5173,"path":5174,"stem":5175},"Можливо, вам не потрібен ефект: антипатерни та альтернативи","\u002Freact-typescript\u002Fyou-might-not-need-effect","22.react-typescript\u002F28.you-might-not-need-effect",{"title":5177,"path":5178,"stem":5179},"Життєвий цикл реактивних ефектів: мислення процесами синхронізації","\u002Freact-typescript\u002Flifecycle-of-reactive-effects","22.react-typescript\u002F29.lifecycle-of-reactive-effects",{"title":5181,"path":5182,"stem":5183},"Розділення подій та ефектів: реактивна проти нереактивної логіки","\u002Freact-typescript\u002Fseparating-events-from-effects","22.react-typescript\u002F30.separating-events-from-effects",{"title":5185,"path":5186,"stem":5187},"Видалення зайвих залежностей ефектів та оптимізація синхронізації","\u002Freact-typescript\u002Fremoving-effect-dependencies","22.react-typescript\u002F31.removing-effect-dependencies",{"title":5189,"path":5190,"stem":5191},"Кастомні хуки: повторне використання та композиція реактивної логіки","\u002Freact-typescript\u002Fcustom-hooks","22.react-typescript\u002F32.custom-hooks",{"title":5193,"path":5194,"stem":5195,"children":5196},"React Router v7: Маршрутизація в SPA","\u002Freact-typescript\u002Freact-router-v7","22.react-typescript\u002F33.react-router-v7\u002Findex",[5197,5198,5202,5206,5210,5214,5218],{"title":5193,"path":5194,"stem":5195},{"title":5199,"path":5200,"stem":5201},"Встановлення та базова конфігурація React Router v7","\u002Freact-typescript\u002Freact-router-v7\u002Finstallation-setup","22.react-typescript\u002F33.react-router-v7\u002F01.installation-setup",{"title":5203,"path":5204,"stem":5205},"Вкладені маршрути та Outlet: архітектура складних макетів","\u002Freact-typescript\u002Freact-router-v7\u002Fnested-routes-outlet","22.react-typescript\u002F33.react-router-v7\u002F02.nested-routes-outlet",{"title":5207,"path":5208,"stem":5209},"Динамічні маршрути та параметри URL","\u002Freact-typescript\u002Freact-router-v7\u002Fdynamic-routes-params","22.react-typescript\u002F33.react-router-v7\u002F03.dynamic-routes-params",{"title":5211,"path":5212,"stem":5213},"Навігація та корисні хуки React Router","\u002Freact-typescript\u002Freact-router-v7\u002Fnavigation-hooks","22.react-typescript\u002F33.react-router-v7\u002F04.navigation-hooks",{"title":5215,"path":5216,"stem":5217},"Обробка помилок та 404: ErrorBoundary і fallback-маршрути","\u002Freact-typescript\u002Freact-router-v7\u002Ferror-handling-404","22.react-typescript\u002F33.react-router-v7\u002F05.error-handling-404",{"title":5219,"path":5220,"stem":5221},"Data Router API: альтернативний синтаксис через createBrowserRouter","\u002Freact-typescript\u002Freact-router-v7\u002Fdata-router-api-examples","22.react-typescript\u002F33.react-router-v7\u002F06.data-router-api-examples",{"title":5223,"path":5224,"stem":5225},"Axios: HTTP-клієнт із розширеними можливостями","\u002Freact-typescript\u002Faxios","22.react-typescript\u002F34.axios",{"title":5227,"path":5228,"stem":5229},"Redux: класичний підхід до глобального стану","\u002Freact-typescript\u002Fredux-classic","22.react-typescript\u002F35.redux-classic",{"title":5231,"path":5232,"stem":5233},"Redux Toolkit: сучасний стандарт Redux","\u002Freact-typescript\u002Fredux-toolkit","22.react-typescript\u002F36.redux-toolkit",{"title":5235,"path":5236,"stem":5237},"RTK Query: запити до сервера без болю","\u002Freact-typescript\u002Frtk-query-tanstack-query","22.react-typescript\u002F38.rtk-query-tanstack-query",{"title":5239,"path":5240,"stem":5241},"React Hook Form + Zod: типобезпечна валідація форм","\u002Freact-typescript\u002Freact-hook-form-zod","22.react-typescript\u002F39.react-hook-form-zod",{"title":5243,"path":5244,"stem":5245},"Тестування компонентів діаграм та пісочниць","\u002Ftest-components","98.test-components",{"id":5247,"title":2081,"body":5248,"description":16022,"extension":16023,"links":16024,"meta":16025,"navigation":5540,"path":2082,"seo":16026,"stem":2083,"__hash__":16027},"docs\u002F02.cpp\u002F92.hash-table.md",{"type":5249,"value":5250,"toc":15972},"minimark",[5251,5255,5374,5377,5382,5390,5395,5414,5419,5426,5436,5441,5447,5464,5476,5502,5699,5724,5727,5756,5763,5765,5769,5774,5794,5838,5843,5922,5935,5939,5946,6109,6123,6128,6136,6156,6168,6201,6212,6221,6225,6239,6244,6289,6292,6308,6449,6454,6483,6507,6509,6513,6517,6520,6682,6696,6700,7508,7513,7552,7571,7573,7577,7581,7733,7747,7751,8016,8030,8041,8045,8293,8298,8321,8336,8338,8342,8346,8391,8855,8864,9024,9029,9045,9047,9051,9055,9077,9497,9513,9518,9694,9699,9701,9705,9709,9712,9733,10105,10110,10133,10299,10304,10306,10310,10314,10324,10340,10344,10381,10760,10770,10788,10802,10814,10816,10820,10824,11011,11015,11018,11043,11642,11648,11663,11685,11687,11691,12689,12957,12959,12963,13090,13095,13137,13139,13143,13147,13154,13188,13194,13200,13204,13215,13219,13229,13231,13235,14649,14651,14655,14659,14715,14719,14724,14731,14874,14879,14882,14887,14890,15004,15012,15131,15133,15139,15152,15470,15475,15555,15589,15591,15595,15598,15603,15638,15643,15701,15749,15751,15755,15957,15959,15968],[5252,5253,2081],"h1",{"id":5254},"власні-структури-даних-хеш-таблиця",[5256,5257,5258,5334],"card-group",{},[5259,5260,5263],"card",{"icon":5261,"title":5262},"i-lucide-target","🎯 Мета лекції",[5264,5265,5266,5283,5295,5309,5323],"ul",{},[5267,5268,5269,5270,5274,5275,5278,5279,5282],"li",{},"Перейти від ",[5271,5272,5273],"strong",{},"лінійних"," (масиви, списки) та ",[5271,5276,5277],{},"ієрархічних"," (дерева) структур до ",[5271,5280,5281],{},"асоціативних",": зв'язок ключ-значення для моментального пошуку.",[5267,5284,5285,5286,5289,5290,5294],{},"Опанувати концепцію ",[5271,5287,5288],{},"хешування"," (",[5291,5292,5293],"em",{},"hashing","): перетворення довільних ключів (рядків, об'єктів) у цілочислені індекси масиву через детерміновану функцію.",[5267,5296,5297,5298,5289,5301,5304,5305,5308],{},"Реалізувати ",[5271,5299,5300],{},"хеш-таблицю з ланцюговим розв'язанням колізій",[5291,5302,5303],{},"hash table with chaining","): кожен бакет (",[5291,5306,5307],{},"bucket",") містить зв'язаний список елементів із однаковим хешем.",[5267,5310,5311,5312,5289,5315,5318,5319,5322],{},"Дослідити ",[5271,5313,5314],{},"динамічне збільшення розміру",[5291,5316,5317],{},"rehashing","): коли коефіцієнт завантаження (",[5291,5320,5321],{},"load factor",") перевищує поріг, подвоюємо кількість бакетів та повторно хешуємо всі елементи.",[5267,5324,5325,5326,5329,5330,5333],{},"Зрозуміти, чому ",[5271,5327,5328],{},"середня складність"," операцій вставки, пошуку та видалення — ",[5271,5331,5332],{},"O(1)",", навіть попри наявність колізій.",[5259,5335,5337],{"icon":4634,"title":5336},"🔑 Ключові терміни",[5264,5338,5339,5345,5351,5357,5368],{},[5267,5340,5341,5344],{},[5271,5342,5343],{},"Hash Function (Хеш-функція):"," функція, що перетворює ключ довільного типу в ціле число (індекс масиву); має бути детермінованою, швидкою та рівномірно розподіляти ключі.",[5267,5346,5347,5350],{},[5271,5348,5349],{},"Bucket (Бакет):"," комірка хеш-таблиці, що зберігає елементи з однаковим хеш-значенням (зазвичай зв'язаний список).",[5267,5352,5353,5356],{},[5271,5354,5355],{},"Collision (Колізія):"," ситуація, коли різні ключі отримують однаковий хеш-індекс; потребує стратегії розв'язання (chaining, open addressing).",[5267,5358,5359,5362,5363,5367],{},[5271,5360,5361],{},"Load Factor (Коефіцієнт завантаження):"," відношення кількості елементів до кількості бакетів ",[5364,5365,5366],"code",{},"λ = N \u002F M","; визначає, коли потрібно збільшити таблицю.",[5267,5369,5370,5373],{},[5271,5371,5372],{},"Rehashing (Перехешування):"," процес збільшення розміру хеш-таблиці та повторного обчислення індексів для всіх існуючих елементів.",[5375,5376],"hr",{},[5378,5379,5381],"h2",{"id":5380},"hook-словник-на-мільйон-слів-як-знайти-переклад-за-одну-операцію","Hook: словник на мільйон слів — як знайти переклад за одну операцію?",[5383,5384,5385,5386,5389],"p",{},"Уявіть електронний словник англійсько-український з ",[5271,5387,5388],{},"1 мільйоном пар"," (слово → переклад). Користувач вводить \"algorithm\", програма має миттєво повернути \"алгоритм\".",[5383,5391,5392],{},[5271,5393,5394],{},"Варіант 1: Невідсортований масив",[5383,5396,5397,5398,5401,5402,5405,5406,5409,5410,5413],{},"Зберігаємо пари у масиві ",[5364,5399,5400],{},"std::vector\u003Cstd::pair\u003Cstd::string, std::string>> dict;",". Пошук вимагає ",[5271,5403,5404],{},"лінійного сканування"," — перебираємо всі 1 000 000 елементів, поки не знайдемо \"algorithm\". Складність: ",[5271,5407,5408],{},"O(n)"," — ",[5271,5411,5412],{},"до 1 мільйона порівнянь"," у гіршому випадку.",[5383,5415,5416],{},[5271,5417,5418],{},"Варіант 2: Відсортований масив + бінарний пошук",[5383,5420,5421,5422,5425],{},"Сортуємо масив за ключами, використовуємо бінарний пошук. Складність пошуку: ",[5271,5423,5424],{},"O(log n)"," — ~20 порівнянь для 1 мільйона елементів. Це вже значно краще.",[5383,5427,5428,5431,5432,5435],{},[5271,5429,5430],{},"Проблема:"," Вставка нового слова вимагає ",[5271,5433,5434],{},"зсуву половини масиву"," (середня складність O(n)). Для динамічного словника, що постійно поповнюється, це катастрофа.",[5383,5437,5438],{},[5271,5439,5440],{},"Варіант 3: Бінарне дерево пошуку (BST)",[5383,5442,5443,5444,5446],{},"У попередній лекції (стаття 91) ми бачили, що BST дає ",[5271,5445,5424],{}," для вставки та пошуку без зсуву елементів. Для збалансованого дерева це відмінне рішення.",[5383,5448,5449,5452,5453,5456,5457,5409,5460,5463],{},[5271,5450,5451],{},"Але чи можна ще швидше?"," Уявіть ідеальний світ: ви знаєте, що слово \"algorithm\" має бути на позиції ",[5271,5454,5455],{},"42"," масиву. Ви одразу звертаєтесь до ",[5364,5458,5459],{},"dict[42]",[5271,5461,5462],{},"одна операція, O(1)",". Жодних порівнянь, жодних переходів по дереву.",[5465,5466,5467,5468,5471,5472,5475],"note",{},"Ключова ідея хеш-таблиць: ",[5271,5469,5470],{},"перетворити ключ (слово) у індекс масиву"," за допомогою математичної функції, яка працює за O(1). Якщо функція обрана правильно, ми отримуємо ",[5271,5473,5474],{},"майже миттєвий доступ"," до даних, незалежно від розміру таблиці.",[5383,5477,5478,5479,5289,5481,5483,5484,5487,5488,5289,5491,5494,5495,5289,5498,5501],{},"Ось звідки береться термін ",[5271,5480,5288],{},[5291,5482,5293],{},"): ми \"перемішуємо\" (",[5291,5485,5486],{},"to hash",") вхідний ключ (рядок, число, об'єкт) у компактне ціле число — ",[5271,5489,5490],{},"хеш-код",[5291,5492,5493],{},"hash code","). Цей хеш-код стає індексом у масиві, який називається ",[5271,5496,5497],{},"хеш-таблицею",[5291,5499,5500],{},"hash table",").",[5503,5504,5506],"plant-uml",{"alt":5505},"Концептуальна схема хеш-таблиці",[5507,5508,5513],"pre",{"className":5509,"code":5510,"language":5511,"meta":5512,"style":5512},"language-plantuml shiki shiki-themes light-plus dark-plus dark-plus","@startuml\nskinparam style plain\nskinparam backgroundColor #FFFFFF\n\nrectangle \"Ключ: \\\"algorithm\\\"\" as key1 #DBEAFE\nrectangle \"Хеш-функція\\nhash(key)\" as hashFunc #DCFCE7\nrectangle \"Хеш-код: 42\" as hash1 #FEF3C7\nrectangle \"Масив бакетів\\n(Hash Table)\" as table #F1F5F9 {\n    rectangle \"Індекс 0: ∅\" as bucket0 #E2E8F0\n    rectangle \"...\" as dots1\n    rectangle \"Індекс 42: \\\"algorithm\\\" → \\\"алгоритм\\\"\" as bucket42 #FEF3C7\n    rectangle \"...\" as dots2\n    rectangle \"Індекс 99: ∅\" as bucket99 #E2E8F0\n}\n\nkey1 -right-> hashFunc\nhashFunc -right-> hash1\nhash1 -down-> bucket42\n\nnote right of hashFunc #DBEAFE\n  Перетворює ключ\n  у ціле число:\n  hash(\"algorithm\") = 42\nend note\n\nnote right of bucket42 #FEF3C7\n  Доступ за O(1):\n  table[42] → переклад\nend note\n\n@enduml\n","plantuml","",[5364,5514,5515,5523,5529,5535,5542,5548,5554,5560,5566,5572,5578,5584,5590,5596,5602,5607,5613,5619,5625,5630,5636,5642,5648,5654,5660,5665,5671,5677,5683,5688,5693],{"__ignoreMap":5512},[5516,5517,5520],"span",{"class":5518,"line":5519},"line",1,[5516,5521,5522],{},"@startuml\n",[5516,5524,5526],{"class":5518,"line":5525},2,[5516,5527,5528],{},"skinparam style plain\n",[5516,5530,5532],{"class":5518,"line":5531},3,[5516,5533,5534],{},"skinparam backgroundColor #FFFFFF\n",[5516,5536,5538],{"class":5518,"line":5537},4,[5516,5539,5541],{"emptyLinePlaceholder":5540},true,"\n",[5516,5543,5545],{"class":5518,"line":5544},5,[5516,5546,5547],{},"rectangle \"Ключ: \\\"algorithm\\\"\" as key1 #DBEAFE\n",[5516,5549,5551],{"class":5518,"line":5550},6,[5516,5552,5553],{},"rectangle \"Хеш-функція\\nhash(key)\" as hashFunc #DCFCE7\n",[5516,5555,5557],{"class":5518,"line":5556},7,[5516,5558,5559],{},"rectangle \"Хеш-код: 42\" as hash1 #FEF3C7\n",[5516,5561,5563],{"class":5518,"line":5562},8,[5516,5564,5565],{},"rectangle \"Масив бакетів\\n(Hash Table)\" as table #F1F5F9 {\n",[5516,5567,5569],{"class":5518,"line":5568},9,[5516,5570,5571],{},"    rectangle \"Індекс 0: ∅\" as bucket0 #E2E8F0\n",[5516,5573,5575],{"class":5518,"line":5574},10,[5516,5576,5577],{},"    rectangle \"...\" as dots1\n",[5516,5579,5581],{"class":5518,"line":5580},11,[5516,5582,5583],{},"    rectangle \"Індекс 42: \\\"algorithm\\\" → \\\"алгоритм\\\"\" as bucket42 #FEF3C7\n",[5516,5585,5587],{"class":5518,"line":5586},12,[5516,5588,5589],{},"    rectangle \"...\" as dots2\n",[5516,5591,5593],{"class":5518,"line":5592},13,[5516,5594,5595],{},"    rectangle \"Індекс 99: ∅\" as bucket99 #E2E8F0\n",[5516,5597,5599],{"class":5518,"line":5598},14,[5516,5600,5601],{},"}\n",[5516,5603,5605],{"class":5518,"line":5604},15,[5516,5606,5541],{"emptyLinePlaceholder":5540},[5516,5608,5610],{"class":5518,"line":5609},16,[5516,5611,5612],{},"key1 -right-> hashFunc\n",[5516,5614,5616],{"class":5518,"line":5615},17,[5516,5617,5618],{},"hashFunc -right-> hash1\n",[5516,5620,5622],{"class":5518,"line":5621},18,[5516,5623,5624],{},"hash1 -down-> bucket42\n",[5516,5626,5628],{"class":5518,"line":5627},19,[5516,5629,5541],{"emptyLinePlaceholder":5540},[5516,5631,5633],{"class":5518,"line":5632},20,[5516,5634,5635],{},"note right of hashFunc #DBEAFE\n",[5516,5637,5639],{"class":5518,"line":5638},21,[5516,5640,5641],{},"  Перетворює ключ\n",[5516,5643,5645],{"class":5518,"line":5644},22,[5516,5646,5647],{},"  у ціле число:\n",[5516,5649,5651],{"class":5518,"line":5650},23,[5516,5652,5653],{},"  hash(\"algorithm\") = 42\n",[5516,5655,5657],{"class":5518,"line":5656},24,[5516,5658,5659],{},"end note\n",[5516,5661,5663],{"class":5518,"line":5662},25,[5516,5664,5541],{"emptyLinePlaceholder":5540},[5516,5666,5668],{"class":5518,"line":5667},26,[5516,5669,5670],{},"note right of bucket42 #FEF3C7\n",[5516,5672,5674],{"class":5518,"line":5673},27,[5516,5675,5676],{},"  Доступ за O(1):\n",[5516,5678,5680],{"class":5518,"line":5679},28,[5516,5681,5682],{},"  table[42] → переклад\n",[5516,5684,5686],{"class":5518,"line":5685},29,[5516,5687,5659],{},[5516,5689,5691],{"class":5518,"line":5690},30,[5516,5692,5541],{"emptyLinePlaceholder":5540},[5516,5694,5696],{"class":5518,"line":5695},31,[5516,5697,5698],{},"@enduml\n",[5383,5700,5701,5704,5705,5708,5709,5289,5712,5715,5716,5719,5720,5723],{},[5271,5702,5703],{},"Реальність складніша:"," Різні ключі можуть отримати ",[5271,5706,5707],{},"однаковий хеш-код"," — це називається ",[5271,5710,5711],{},"колізією",[5291,5713,5714],{},"collision","). Якщо ",[5364,5717,5718],{},"hash(\"algorithm\") = 42"," і ",[5364,5721,5722],{},"hash(\"zebra\") = 42",", обидва слова претендують на індекс 42. Як зберегти обидва елементи?",[5383,5725,5726],{},"Існує два класичних підходи:",[5728,5729,5730,5743],"ol",{},[5267,5731,5732,5289,5735,5738,5739,5742],{},[5271,5733,5734],{},"Метод ланцюгів",[5291,5736,5737],{},"chaining","): кожен бакет містить ",[5271,5740,5741],{},"зв'язаний список"," пар (ключ, значення). Якщо колізія — додаємо елемент у список.",[5267,5744,5745,5289,5748,5751,5752,5755],{},[5271,5746,5747],{},"Відкрита адресація",[5291,5749,5750],{},"open addressing","): шукаємо ",[5271,5753,5754],{},"наступний вільний бакет"," за певним алгоритмом (лінійне пробування, квадратичне, подвійне хешування).",[5383,5757,5758,5759,5762],{},"У цій лекції ми реалізуємо ",[5271,5760,5761],{},"хеш-таблицю з ланцюговим методом",", оскільки він простіший для розуміння та природно поєднується з нашими знаннями про зв'язані списки (стаття 90).",[5375,5764],{},[5378,5766,5768],{"id":5767},"фундаментальні-концепції-хешування","Фундаментальні концепції хешування",[5770,5771,5773],"h3",{"id":5772},"хеш-функція-перетворення-ключів-у-індекси","Хеш-функція: перетворення ключів у індекси",[5383,5775,5776,5289,5779,5782,5783,5786,5787,5790,5791,5793],{},[5271,5777,5778],{},"Хеш-функція",[5291,5780,5781],{},"hash function",") — це ",[5271,5784,5785],{},"детермінована"," функція, що приймає ключ довільного типу (рядок, число, об'єкт) і повертає ",[5271,5788,5789],{},"невід'ємне ціле число"," — хеш-код (",[5291,5792,5493],{},"):",[5507,5795,5799],{"className":5796,"code":5797,"language":5798,"meta":5512,"style":5512},"language-cpp shiki shiki-themes light-plus dark-plus dark-plus","size_t hash(const std::string& key);\n","cpp",[5364,5800,5801],{"__ignoreMap":5512},[5516,5802,5803,5807,5811,5815,5818,5822,5825,5828,5831,5835],{"class":5518,"line":5519},[5516,5804,5806],{"class":5805},"su1O8","size_t",[5516,5808,5810],{"class":5809},"s8Opu"," hash",[5516,5812,5814],{"class":5813},"sHH4Y","(",[5516,5816,5817],{"class":5805},"const",[5516,5819,5821],{"class":5820},"sN1BT"," std",[5516,5823,5824],{"class":5813},"::",[5516,5826,5827],{"class":5820},"string",[5516,5829,5830],{"class":5805},"&",[5516,5832,5834],{"class":5833},"siwwj"," key",[5516,5836,5837],{"class":5813},");\n",[5383,5839,5840],{},[5271,5841,5842],{},"Властивості гарної хеш-функції:",[5844,5845,5846,5863],"table",{},[5847,5848,5849],"thead",{},[5850,5851,5852,5857,5860],"tr",{},[5853,5854,5856],"th",{"align":5855},"left","Властивість",[5853,5858,5859],{"align":5855},"Пояснення",[5853,5861,5862],{"align":5855},"Наслідки порушення",[5864,5865,5866,5880,5896,5909],"tbody",{},[5850,5867,5868,5874,5877],{},[5869,5870,5871],"td",{"align":5855},[5271,5872,5873],{},"Детермінованість",[5869,5875,5876],{"align":5855},"Один і той же ключ завжди дає однаковий хеш",[5869,5878,5879],{"align":5855},"Недетермінована функція робить пошук неможливим",[5850,5881,5882,5887,5893],{},[5869,5883,5884],{"align":5855},[5271,5885,5886],{},"Рівномірний розподіл",[5869,5888,5889,5890],{"align":5855},"Хеші рівномірно розподілені по діапазону ",[5364,5891,5892],{},"[0, M)",[5869,5894,5895],{"align":5855},"Нерівномірність → кластеризація → багато колізій → деградація до O(n)",[5850,5897,5898,5903,5906],{},[5869,5899,5900],{"align":5855},[5271,5901,5902],{},"Швидкість обчислення",[5869,5904,5905],{"align":5855},"Обчислення хешу має бути O(1)",[5869,5907,5908],{"align":5855},"Повільна функція знищує переваги хеш-таблиці",[5850,5910,5911,5916,5919],{},[5869,5912,5913],{"align":5855},[5271,5914,5915],{},"Лавинний ефект",[5869,5917,5918],{"align":5855},"Невелика зміна ключа → велика зміна хешу",[5869,5920,5921],{"align":5855},"Погана чутливість → передбачувані колізії для схожих ключів",[5923,5924,5926,5927,5930,5931,5934],"warning",{"title":5925},"Криптографічна vs некриптографічна","У хеш-таблицях ",[5271,5928,5929],{},"не потрібні"," криптографічні функції (SHA-256, MD5), які дорогі в обчисленні. Нам достатньо ",[5271,5932,5933],{},"швидких некриптографічних"," функцій з хорошим розподілом: FNV-1a, MurmurHash, xxHash. Для навчальних цілей ми реалізуємо спрощену версію.",[5770,5936,5938],{"id":5937},"проста-хеш-функція-для-рядків","Проста хеш-функція для рядків",[5383,5940,5941,5942,5945],{},"Розглянемо базову хеш-функцію для рядків — ",[5271,5943,5944],{},"поліноміальний хеш"," з простим числом як основою:",[5507,5947,5949],{"className":5796,"code":5948,"language":5798,"meta":5512,"style":5512},"size_t simpleHash(const std::string& key)\n{\n    size_t hash = 0;\n    const size_t prime = 31;  \u002F\u002F Просте число для зменшення колізій\n    \n    for (char c : key)\n    {\n        hash = hash * prime + static_cast\u003Csize_t>(c);\n    }\n    \n    return hash;\n}\n",[5364,5950,5951,5975,5980,5997,6020,6025,6047,6052,6087,6092,6096,6105],{"__ignoreMap":5512},[5516,5952,5953,5955,5958,5960,5962,5964,5966,5968,5970,5972],{"class":5518,"line":5519},[5516,5954,5806],{"class":5805},[5516,5956,5957],{"class":5809}," simpleHash",[5516,5959,5814],{"class":5813},[5516,5961,5817],{"class":5805},[5516,5963,5821],{"class":5820},[5516,5965,5824],{"class":5813},[5516,5967,5827],{"class":5820},[5516,5969,5830],{"class":5805},[5516,5971,5834],{"class":5833},[5516,5973,5974],{"class":5813},")\n",[5516,5976,5977],{"class":5518,"line":5525},[5516,5978,5979],{"class":5813},"{\n",[5516,5981,5982,5985,5987,5990,5994],{"class":5518,"line":5531},[5516,5983,5984],{"class":5805},"    size_t",[5516,5986,5810],{"class":5833},[5516,5988,5989],{"class":5813}," = ",[5516,5991,5993],{"class":5992},"sJj4R","0",[5516,5995,5996],{"class":5813},";\n",[5516,5998,5999,6002,6005,6008,6010,6013,6016],{"class":5518,"line":5537},[5516,6000,6001],{"class":5805},"    const",[5516,6003,6004],{"class":5805}," size_t",[5516,6006,6007],{"class":5833}," prime",[5516,6009,5989],{"class":5813},[5516,6011,6012],{"class":5992},"31",[5516,6014,6015],{"class":5813},";",[5516,6017,6019],{"class":6018},"spJ8K","  \u002F\u002F Просте число для зменшення колізій\n",[5516,6021,6022],{"class":5518,"line":5544},[5516,6023,6024],{"class":5813},"    \n",[5516,6026,6027,6031,6033,6036,6039,6042,6045],{"class":5518,"line":5550},[5516,6028,6030],{"class":6029},"s8xlr","    for",[5516,6032,5289],{"class":5813},[5516,6034,6035],{"class":5805},"char",[5516,6037,6038],{"class":5833}," c",[5516,6040,6041],{"class":5813}," : ",[5516,6043,6044],{"class":5833},"key",[5516,6046,5974],{"class":5813},[5516,6048,6049],{"class":5518,"line":5556},[5516,6050,6051],{"class":5813},"    {\n",[5516,6053,6054,6057,6059,6062,6065,6068,6071,6074,6077,6079,6082,6085],{"class":5518,"line":5562},[5516,6055,6056],{"class":5833},"        hash",[5516,6058,5989],{"class":5813},[5516,6060,6061],{"class":5833},"hash",[5516,6063,6064],{"class":5813}," * ",[5516,6066,6067],{"class":5833},"prime",[5516,6069,6070],{"class":5813}," + ",[5516,6072,6073],{"class":5805},"static_cast",[5516,6075,6076],{"class":5813},"\u003C",[5516,6078,5806],{"class":5805},[5516,6080,6081],{"class":5813},">(",[5516,6083,6084],{"class":5833},"c",[5516,6086,5837],{"class":5813},[5516,6088,6089],{"class":5518,"line":5568},[5516,6090,6091],{"class":5813},"    }\n",[5516,6093,6094],{"class":5518,"line":5574},[5516,6095,6024],{"class":5813},[5516,6097,6098,6101,6103],{"class":5518,"line":5580},[5516,6099,6100],{"class":6029},"    return",[5516,6102,5810],{"class":5833},[5516,6104,5996],{"class":5813},[5516,6106,6107],{"class":5518,"line":5586},[5516,6108,5601],{"class":5813},[5383,6110,6111,6114,6115,6118,6119,6122],{},[5271,6112,6113],{},"Логіка:"," Кожен символ рядка впливає на фінальний хеш через множення на просте число (31 — популярний вибір у Java ",[5364,6116,6117],{},"String.hashCode()","). Це забезпечує ",[5271,6120,6121],{},"лавинний ефект",": зміна одного символу змінює всі наступні біти хешу.",[5383,6124,6125],{},[5271,6126,6127],{},"Приклад обчислення для \"cat\":",[5507,6129,6134],{"className":6130,"code":6132,"language":6133},[6131],"language-text","hash = 0\nСимвол 'c' (ASCII 99): hash = 0 * 31 + 99 = 99\nСимвол 'a' (ASCII 97): hash = 99 * 31 + 97 = 3166\nСимвол 't' (ASCII 116): hash = 3166 * 31 + 116 = 98262\nФінальний хеш: 98262\n","text",[5364,6135,6132],{"__ignoreMap":5512},[5383,6137,6138,6140,6141,6144,6145,6148,6149,6152,6153,6155],{},[5271,6139,5430],{}," Хеш-код може бути ",[5271,6142,6143],{},"дуже великим"," (для довгих рядків). Ми маємо масив розміром ",[5364,6146,6147],{},"M"," (наприклад, 100 бакетів). Як перетворити довільне число ",[5364,6150,6151],{},"98262"," у індекс ",[5364,6154,5892],{},"?",[5383,6157,6158,6161,6162,5289,6165,5793],{},[5271,6159,6160],{},"Рішення:"," Операція ",[5271,6163,6164],{},"модуля",[5291,6166,6167],{},"modulo",[5507,6169,6171],{"className":5796,"code":6170,"language":5798,"meta":5512,"style":5512},"size_t index = simpleHash(\"cat\") % M;  \u002F\u002F M = 100 → index = 98262 % 100 = 62\n",[5364,6172,6173],{"__ignoreMap":5512},[5516,6174,6175,6177,6180,6182,6185,6187,6191,6194,6196,6198],{"class":5518,"line":5519},[5516,6176,5806],{"class":5805},[5516,6178,6179],{"class":5833}," index",[5516,6181,5989],{"class":5813},[5516,6183,6184],{"class":5809},"simpleHash",[5516,6186,5814],{"class":5813},[5516,6188,6190],{"class":6189},"sbdoH","\"cat\"",[5516,6192,6193],{"class":5813},") % ",[5516,6195,6147],{"class":5833},[5516,6197,6015],{"class":5813},[5516,6199,6200],{"class":6018},"  \u002F\u002F M = 100 → index = 98262 % 100 = 62\n",[5383,6202,6203,6204,6207,6208,6211],{},"Тепер ",[5364,6205,6206],{},"index"," гарантовано знаходиться у допустимому діапазоні ",[5364,6209,6210],{},"[0, 99]",".",[6213,6214,6216,6217,6220],"tip",{"title":6215},"Чому просте число як основа?","Використання простих чисел (31, 37, 53) у хеш-функціях зменшує ймовірність ",[5271,6218,6219],{},"систематичних колізій",". Якщо основа — ступінь двійки (наприклад, 32), останні біти хешу визначаються лише останніми символами рядка, що призводить до кластеризації схожих ключів. Прості числа \"перемішують\" біти ефективніше.",[5770,6222,6224],{"id":6223},"колізії-неминуча-реальність","Колізії: неминуча реальність",[5383,6226,6227,6228,6231,6232,5289,6235,6238],{},"Навіть з ідеальною хеш-функцією ",[5271,6229,6230],{},"колізії неминучі"," через ",[5271,6233,6234],{},"принцип Діріхле",[5291,6236,6237],{},"pigeonhole principle","): якщо кількість можливих ключів (нескінченна для рядків) більша за кількість бакетів (скінченна), принаймні два ключі отримають однаковий індекс.",[5383,6240,6241],{},[5271,6242,6243],{},"Приклад:",[5507,6245,6247],{"className":5796,"code":6246,"language":5798,"meta":5512,"style":5512},"simpleHash(\"listen\") % 100 → 42\nsimpleHash(\"silent\") % 100 → 42  \u002F\u002F Колізія!\n",[5364,6248,6249,6269],{"__ignoreMap":5512},[5516,6250,6251,6253,6255,6258,6260,6263,6266],{"class":5518,"line":5519},[5516,6252,6184],{"class":5809},[5516,6254,5814],{"class":5813},[5516,6256,6257],{"class":6189},"\"listen\"",[5516,6259,6193],{"class":5813},[5516,6261,6262],{"class":5992},"100",[5516,6264,6265],{"class":5813}," → ",[5516,6267,6268],{"class":5992},"42\n",[5516,6270,6271,6273,6275,6278,6280,6282,6284,6286],{"class":5518,"line":5525},[5516,6272,6184],{"class":5809},[5516,6274,5814],{"class":5813},[5516,6276,6277],{"class":6189},"\"silent\"",[5516,6279,6193],{"class":5813},[5516,6281,6262],{"class":5992},[5516,6283,6265],{"class":5813},[5516,6285,5455],{"class":5992},[5516,6287,6288],{"class":6018},"  \u002F\u002F Колізія!\n",[5383,6290,6291],{},"Обидва слова мають однаковий індекс (42), але це різні ключі з різними значеннями. Як зберегти обидва?",[5383,6293,6294,6299,6300,6303,6304,6307],{},[5271,6295,6296,6297,5793],{},"Метод ланцюгів (",[5291,6298,5737],{}," Кожен бакет ",[5364,6301,6302],{},"table[42]"," стає ",[5271,6305,6306],{},"головою зв'язаного списку",". Коли виникає колізія, додаємо новий елемент у кінець списку.",[5503,6309,6311],{"alt":6310},"Хеш-таблиця з ланцюговим розв'язанням колізій",[5507,6312,6314],{"className":5509,"code":6313,"language":5511,"meta":5512,"style":5512},"@startuml\nskinparam style plain\nskinparam backgroundColor #FFFFFF\n\ntitle Хеш-таблиця з M=7 бакетів\n\nrectangle \"Масив бакетів\" as table #F1F5F9 {\n    rectangle \"Індекс 0: ∅\" as b0 #E2E8F0\n    rectangle \"Індекс 1: ∅\" as b1 #E2E8F0\n    rectangle \"Індекс 2: \\\"apple\\\" → \\\"яблуко\\\"\" as b2 #DBEAFE\n    rectangle \"Індекс 3: \\\"cat\\\" → \\\"кіт\\\" → \\\"dog\\\" → \\\"собака\\\"\" as b3 #FEF3C7\n    rectangle \"Індекс 4: ∅\" as b4 #E2E8F0\n    rectangle \"Індекс 5: \\\"zebra\\\" → \\\"зебра\\\"\" as b5 #DCFCE7\n    rectangle \"Індекс 6: ∅\" as b6 #E2E8F0\n}\n\nnote right of b3 #FEF3C7\n  Колізія: \"cat\" і \"dog\"\n  мають hash % 7 = 3\n  Обидва елементи зберігаються\n  у зв'язаному списку бакета 3\nend note\n\nnote bottom of table #E2E8F0\n  Пусті бакети (∅) містять nullptr\n  Заповнені бакети — покажчики на голову списку\nend note\n\n@enduml\n",[5364,6315,6316,6320,6324,6328,6332,6337,6341,6346,6351,6356,6361,6366,6371,6376,6381,6385,6389,6394,6399,6404,6409,6414,6418,6422,6427,6432,6437,6441,6445],{"__ignoreMap":5512},[5516,6317,6318],{"class":5518,"line":5519},[5516,6319,5522],{},[5516,6321,6322],{"class":5518,"line":5525},[5516,6323,5528],{},[5516,6325,6326],{"class":5518,"line":5531},[5516,6327,5534],{},[5516,6329,6330],{"class":5518,"line":5537},[5516,6331,5541],{"emptyLinePlaceholder":5540},[5516,6333,6334],{"class":5518,"line":5544},[5516,6335,6336],{},"title Хеш-таблиця з M=7 бакетів\n",[5516,6338,6339],{"class":5518,"line":5550},[5516,6340,5541],{"emptyLinePlaceholder":5540},[5516,6342,6343],{"class":5518,"line":5556},[5516,6344,6345],{},"rectangle \"Масив бакетів\" as table #F1F5F9 {\n",[5516,6347,6348],{"class":5518,"line":5562},[5516,6349,6350],{},"    rectangle \"Індекс 0: ∅\" as b0 #E2E8F0\n",[5516,6352,6353],{"class":5518,"line":5568},[5516,6354,6355],{},"    rectangle \"Індекс 1: ∅\" as b1 #E2E8F0\n",[5516,6357,6358],{"class":5518,"line":5574},[5516,6359,6360],{},"    rectangle \"Індекс 2: \\\"apple\\\" → \\\"яблуко\\\"\" as b2 #DBEAFE\n",[5516,6362,6363],{"class":5518,"line":5580},[5516,6364,6365],{},"    rectangle \"Індекс 3: \\\"cat\\\" → \\\"кіт\\\" → \\\"dog\\\" → \\\"собака\\\"\" as b3 #FEF3C7\n",[5516,6367,6368],{"class":5518,"line":5586},[5516,6369,6370],{},"    rectangle \"Індекс 4: ∅\" as b4 #E2E8F0\n",[5516,6372,6373],{"class":5518,"line":5592},[5516,6374,6375],{},"    rectangle \"Індекс 5: \\\"zebra\\\" → \\\"зебра\\\"\" as b5 #DCFCE7\n",[5516,6377,6378],{"class":5518,"line":5598},[5516,6379,6380],{},"    rectangle \"Індекс 6: ∅\" as b6 #E2E8F0\n",[5516,6382,6383],{"class":5518,"line":5604},[5516,6384,5601],{},[5516,6386,6387],{"class":5518,"line":5609},[5516,6388,5541],{"emptyLinePlaceholder":5540},[5516,6390,6391],{"class":5518,"line":5615},[5516,6392,6393],{},"note right of b3 #FEF3C7\n",[5516,6395,6396],{"class":5518,"line":5621},[5516,6397,6398],{},"  Колізія: \"cat\" і \"dog\"\n",[5516,6400,6401],{"class":5518,"line":5627},[5516,6402,6403],{},"  мають hash % 7 = 3\n",[5516,6405,6406],{"class":5518,"line":5632},[5516,6407,6408],{},"  Обидва елементи зберігаються\n",[5516,6410,6411],{"class":5518,"line":5638},[5516,6412,6413],{},"  у зв'язаному списку бакета 3\n",[5516,6415,6416],{"class":5518,"line":5644},[5516,6417,5659],{},[5516,6419,6420],{"class":5518,"line":5650},[5516,6421,5541],{"emptyLinePlaceholder":5540},[5516,6423,6424],{"class":5518,"line":5656},[5516,6425,6426],{},"note bottom of table #E2E8F0\n",[5516,6428,6429],{"class":5518,"line":5662},[5516,6430,6431],{},"  Пусті бакети (∅) містять nullptr\n",[5516,6433,6434],{"class":5518,"line":5667},[5516,6435,6436],{},"  Заповнені бакети — покажчики на голову списку\n",[5516,6438,6439],{"class":5518,"line":5673},[5516,6440,5659],{},[5516,6442,6443],{"class":5518,"line":5679},[5516,6444,5541],{"emptyLinePlaceholder":5540},[5516,6446,6447],{"class":5518,"line":5685},[5516,6448,5698],{},[5383,6450,6451],{},[5271,6452,6453],{},"Складність операцій при колізіях:",[5264,6455,6456,6466,6475],{},[5267,6457,6458,6461,6462,6465],{},[5271,6459,6460],{},"Середній випадок:"," Якщо хеш-функція рівномірна, елементи розподілені по бакетах приблизно порівну. Середня довжина списку = ",[5364,6463,6464],{},"N \u002F M = λ"," (коефіцієнт завантаження). Пошук у списку — O(λ).",[5267,6467,6468,6471,6472,6474],{},[5271,6469,6470],{},"Якщо λ ≈ 1"," (кількість елементів ≈ кількість бакетів): середня довжина списку = 1 → ",[5271,6473,5332],{}," операції.",[5267,6476,6477,6480,6481,6211],{},[5271,6478,6479],{},"Якщо λ >> 1"," (багато елементів, мало бакетів): списки довгі → деградація до ",[5271,6482,5408],{},[5383,6484,6485,6487,6488,6491,6492,6495,6496,6499,6500,5289,6503,6506],{},[5271,6486,6160],{}," Коли ",[5364,6489,6490],{},"λ"," перевищує поріг (зазвичай ",[5271,6493,6494],{},"0.75","), ",[5271,6497,6498],{},"подвоюємо"," розмір таблиці та ",[5271,6501,6502],{},"перехешуємо",[5291,6504,6505],{},"rehash",") всі елементи. Це тримає λ під контролем, гарантуючи O(1) у середньому.",[5375,6508],{},[5378,6510,6512],{"id":6511},"проєктування-класу-hashtable-структура-вузла-та-інтерфейс","Проєктування класу HashTable: структура вузла та інтерфейс",[5770,6514,6516],{"id":6515},"структура-вузла-hashnode","Структура вузла HashNode",[5383,6518,6519],{},"Кожен елемент хеш-таблиці — це пара (ключ, значення), збережена у вузлі зв'язаного списку:",[5507,6521,6523],{"className":5796,"code":6522,"language":5798,"meta":5512,"style":5512},"template \u003Ctypename K, typename V>\nstruct HashNode\n{\n    K key;          \u002F\u002F Ключ (наприклад, std::string)\n    V value;        \u002F\u002F Значення (наприклад, std::string)\n    HashNode* next; \u002F\u002F Покажчик на наступний вузол у ланцюжку колізій\n    \n    HashNode(const K& k, const V& v)\n        : key(k), value(v), next(nullptr)\n    {\n    }\n};\n",[5364,6524,6525,6550,6558,6562,6574,6587,6603,6607,6635,6669,6673,6677],{"__ignoreMap":5512},[5516,6526,6527,6530,6533,6536,6539,6542,6544,6547],{"class":5518,"line":5519},[5516,6528,6529],{"class":5805},"template",[5516,6531,6532],{"class":5813}," \u003C",[5516,6534,6535],{"class":5805},"typename",[5516,6537,6538],{"class":5820}," K",[5516,6540,6541],{"class":5813},", ",[5516,6543,6535],{"class":5805},[5516,6545,6546],{"class":5820}," V",[5516,6548,6549],{"class":5813},">\n",[5516,6551,6552,6555],{"class":5518,"line":5525},[5516,6553,6554],{"class":5805},"struct",[5516,6556,6557],{"class":5820}," HashNode\n",[5516,6559,6560],{"class":5518,"line":5531},[5516,6561,5979],{"class":5813},[5516,6563,6564,6567,6569,6571],{"class":5518,"line":5537},[5516,6565,6566],{"class":5820},"    K",[5516,6568,5834],{"class":5833},[5516,6570,6015],{"class":5813},[5516,6572,6573],{"class":6018},"          \u002F\u002F Ключ (наприклад, std::string)\n",[5516,6575,6576,6579,6582,6584],{"class":5518,"line":5544},[5516,6577,6578],{"class":5820},"    V",[5516,6580,6581],{"class":5833}," value",[5516,6583,6015],{"class":5813},[5516,6585,6586],{"class":6018},"        \u002F\u002F Значення (наприклад, std::string)\n",[5516,6588,6589,6592,6595,6598,6600],{"class":5518,"line":5550},[5516,6590,6591],{"class":5820},"    HashNode",[5516,6593,6594],{"class":5805},"*",[5516,6596,6597],{"class":5833}," next",[5516,6599,6015],{"class":5813},[5516,6601,6602],{"class":6018}," \u002F\u002F Покажчик на наступний вузол у ланцюжку колізій\n",[5516,6604,6605],{"class":5518,"line":5556},[5516,6606,6024],{"class":5813},[5516,6608,6609,6611,6613,6615,6617,6619,6622,6624,6626,6628,6630,6633],{"class":5518,"line":5562},[5516,6610,6591],{"class":5809},[5516,6612,5814],{"class":5813},[5516,6614,5817],{"class":5805},[5516,6616,6538],{"class":5820},[5516,6618,5830],{"class":5805},[5516,6620,6621],{"class":5833}," k",[5516,6623,6541],{"class":5813},[5516,6625,5817],{"class":5805},[5516,6627,6546],{"class":5820},[5516,6629,5830],{"class":5805},[5516,6631,6632],{"class":5833}," v",[5516,6634,5974],{"class":5813},[5516,6636,6637,6640,6642,6644,6647,6649,6652,6654,6657,6659,6662,6664,6667],{"class":5518,"line":5568},[5516,6638,6639],{"class":5813},"        : ",[5516,6641,6044],{"class":5809},[5516,6643,5814],{"class":5813},[5516,6645,6646],{"class":5833},"k",[5516,6648,6495],{"class":5813},[5516,6650,6651],{"class":5809},"value",[5516,6653,5814],{"class":5813},[5516,6655,6656],{"class":5833},"v",[5516,6658,6495],{"class":5813},[5516,6660,6661],{"class":5809},"next",[5516,6663,5814],{"class":5813},[5516,6665,6666],{"class":5805},"nullptr",[5516,6668,5974],{"class":5813},[5516,6670,6671],{"class":5518,"line":5574},[5516,6672,6051],{"class":5813},[5516,6674,6675],{"class":5518,"line":5580},[5516,6676,6091],{"class":5813},[5516,6678,6679],{"class":5518,"line":5586},[5516,6680,6681],{"class":5813},"};\n",[5383,6683,6684,6687,6688,6691,6692,6695],{},[5271,6685,6686],{},"Чому зберігаємо ключ?"," Навіть якщо два ключі мають однаковий хеш-індекс (колізія), вони можуть бути ",[5271,6689,6690],{},"різними ключами",". При пошуку потрібно ",[5271,6693,6694],{},"порівнювати фактичні ключі",", а не лише індекси.",[5770,6697,6699],{"id":6698},"оголошення-шаблонного-класу-hashtable","Оголошення шаблонного класу HashTable",[5507,6701,6703],{"className":5796,"code":6702,"language":5798,"meta":5512,"style":5512},"\u002F\u002F HashTable.h\n#ifndef HASH_TABLE_H\n#define HASH_TABLE_H\n\n#include \u003Ciostream>\n#include \u003Cvector>\n#include \u003Cstring>\n#include \u003Cstdexcept>\n\ntemplate \u003Ctypename K, typename V>\nstruct HashNode\n{\n    K key;\n    V value;\n    HashNode* next;\n    \n    HashNode(const K& k, const V& v)\n        : key(k), value(v), next(nullptr)\n    {\n    }\n};\n\ntemplate \u003Ctypename K, typename V>\nclass HashTable\n{\nprivate:\n    std::vector\u003CHashNode\u003CK, V>*> buckets;  \u002F\u002F Масив покажчиків на голови списків\n    size_t count;                          \u002F\u002F Кількість елементів у таблиці\n    size_t bucketCount;                    \u002F\u002F Кількість бакетів\n    \n    \u002F\u002F Константа для обчислення порогу завантаження\n    static constexpr double MAX_LOAD_FACTOR = 0.75;\n    \n    \u002F\u002F Приватні допоміжні методи\n    size_t hashFunction(const K& key) const;\n    size_t getBucketIndex(const K& key) const;\n    void rehash();\n    void destroyBucket(HashNode\u003CK, V>* node);\n\npublic:\n    \u002F\u002F Конструктор: створює таблицю із заданою початковою ємністю\n    explicit HashTable(size_t capacity = 16);\n    \n    \u002F\u002F Деструктор: звільняє всі вузли (RAII)\n    ~HashTable();\n    \n    \u002F\u002F Заборона копіювання (для простоти)\n    HashTable(const HashTable&) = delete;\n    HashTable& operator=(const HashTable&) = delete;\n    \n    \u002F\u002F Вставити пару (ключ, значення)\n    void insert(const K& key, const V& value);\n    \n    \u002F\u002F Видалити елемент за ключем\n    bool remove(const K& key);\n    \n    \u002F\u002F Знайти значення за ключем (повертає покажчик або nullptr)\n    V* find(const K& key);\n    const V* find(const K& key) const;\n    \n    \u002F\u002F Перевірити, чи таблиця порожня\n    bool isEmpty() const;\n    \n    \u002F\u002F Отримати кількість елементів\n    size_t size() const;\n    \n    \u002F\u002F Отримати поточну ємність (кількість бакетів)\n    size_t capacity() const;\n    \n    \u002F\u002F Обчислити поточний коефіцієнт завантаження\n    double loadFactor() const;\n    \n    \u002F\u002F Вивести статистику таблиці (для відлагодження)\n    void printStatistics() const;\n};\n\n#endif\n",[5364,6704,6705,6710,6718,6725,6729,6737,6744,6751,6758,6762,6780,6786,6790,6798,6806,6816,6820,6846,6874,6878,6882,6886,6890,6908,6916,6920,6925,6961,6973,6985,6989,6994,7015,7020,7026,7051,7075,7087,7117,7122,7128,7134,7157,7162,7168,7176,7181,7187,7209,7233,7238,7244,7274,7279,7285,7306,7311,7317,7339,7366,7371,7377,7392,7397,7403,7417,7422,7428,7441,7446,7452,7467,7472,7478,7492,7497,7502],{"__ignoreMap":5512},[5516,6706,6707],{"class":5518,"line":5519},[5516,6708,6709],{"class":6018},"\u002F\u002F HashTable.h\n",[5516,6711,6712,6715],{"class":5518,"line":5525},[5516,6713,6714],{"class":6029},"#ifndef",[5516,6716,6717],{"class":5805}," HASH_TABLE_H\n",[5516,6719,6720,6723],{"class":5518,"line":5531},[5516,6721,6722],{"class":6029},"#define",[5516,6724,6717],{"class":5805},[5516,6726,6727],{"class":5518,"line":5537},[5516,6728,5541],{"emptyLinePlaceholder":5540},[5516,6730,6731,6734],{"class":5518,"line":5544},[5516,6732,6733],{"class":6029},"#include",[5516,6735,6736],{"class":6189}," \u003Ciostream>\n",[5516,6738,6739,6741],{"class":5518,"line":5550},[5516,6740,6733],{"class":6029},[5516,6742,6743],{"class":6189}," \u003Cvector>\n",[5516,6745,6746,6748],{"class":5518,"line":5556},[5516,6747,6733],{"class":6029},[5516,6749,6750],{"class":6189}," \u003Cstring>\n",[5516,6752,6753,6755],{"class":5518,"line":5562},[5516,6754,6733],{"class":6029},[5516,6756,6757],{"class":6189}," \u003Cstdexcept>\n",[5516,6759,6760],{"class":5518,"line":5568},[5516,6761,5541],{"emptyLinePlaceholder":5540},[5516,6763,6764,6766,6768,6770,6772,6774,6776,6778],{"class":5518,"line":5574},[5516,6765,6529],{"class":5805},[5516,6767,6532],{"class":5813},[5516,6769,6535],{"class":5805},[5516,6771,6538],{"class":5820},[5516,6773,6541],{"class":5813},[5516,6775,6535],{"class":5805},[5516,6777,6546],{"class":5820},[5516,6779,6549],{"class":5813},[5516,6781,6782,6784],{"class":5518,"line":5580},[5516,6783,6554],{"class":5805},[5516,6785,6557],{"class":5820},[5516,6787,6788],{"class":5518,"line":5586},[5516,6789,5979],{"class":5813},[5516,6791,6792,6794,6796],{"class":5518,"line":5592},[5516,6793,6566],{"class":5820},[5516,6795,5834],{"class":5833},[5516,6797,5996],{"class":5813},[5516,6799,6800,6802,6804],{"class":5518,"line":5598},[5516,6801,6578],{"class":5820},[5516,6803,6581],{"class":5833},[5516,6805,5996],{"class":5813},[5516,6807,6808,6810,6812,6814],{"class":5518,"line":5604},[5516,6809,6591],{"class":5820},[5516,6811,6594],{"class":5805},[5516,6813,6597],{"class":5833},[5516,6815,5996],{"class":5813},[5516,6817,6818],{"class":5518,"line":5609},[5516,6819,6024],{"class":5813},[5516,6821,6822,6824,6826,6828,6830,6832,6834,6836,6838,6840,6842,6844],{"class":5518,"line":5615},[5516,6823,6591],{"class":5809},[5516,6825,5814],{"class":5813},[5516,6827,5817],{"class":5805},[5516,6829,6538],{"class":5820},[5516,6831,5830],{"class":5805},[5516,6833,6621],{"class":5833},[5516,6835,6541],{"class":5813},[5516,6837,5817],{"class":5805},[5516,6839,6546],{"class":5820},[5516,6841,5830],{"class":5805},[5516,6843,6632],{"class":5833},[5516,6845,5974],{"class":5813},[5516,6847,6848,6850,6852,6854,6856,6858,6860,6862,6864,6866,6868,6870,6872],{"class":5518,"line":5621},[5516,6849,6639],{"class":5813},[5516,6851,6044],{"class":5809},[5516,6853,5814],{"class":5813},[5516,6855,6646],{"class":5833},[5516,6857,6495],{"class":5813},[5516,6859,6651],{"class":5809},[5516,6861,5814],{"class":5813},[5516,6863,6656],{"class":5833},[5516,6865,6495],{"class":5813},[5516,6867,6661],{"class":5809},[5516,6869,5814],{"class":5813},[5516,6871,6666],{"class":5805},[5516,6873,5974],{"class":5813},[5516,6875,6876],{"class":5518,"line":5627},[5516,6877,6051],{"class":5813},[5516,6879,6880],{"class":5518,"line":5632},[5516,6881,6091],{"class":5813},[5516,6883,6884],{"class":5518,"line":5638},[5516,6885,6681],{"class":5813},[5516,6887,6888],{"class":5518,"line":5644},[5516,6889,5541],{"emptyLinePlaceholder":5540},[5516,6891,6892,6894,6896,6898,6900,6902,6904,6906],{"class":5518,"line":5650},[5516,6893,6529],{"class":5805},[5516,6895,6532],{"class":5813},[5516,6897,6535],{"class":5805},[5516,6899,6538],{"class":5820},[5516,6901,6541],{"class":5813},[5516,6903,6535],{"class":5805},[5516,6905,6546],{"class":5820},[5516,6907,6549],{"class":5813},[5516,6909,6910,6913],{"class":5518,"line":5656},[5516,6911,6912],{"class":5805},"class",[5516,6914,6915],{"class":5820}," HashTable\n",[5516,6917,6918],{"class":5518,"line":5662},[5516,6919,5979],{"class":5813},[5516,6921,6922],{"class":5518,"line":5667},[5516,6923,6924],{"class":5805},"private:\n",[5516,6926,6927,6930,6932,6935,6937,6940,6942,6945,6947,6950,6953,6956,6958],{"class":5518,"line":5673},[5516,6928,6929],{"class":5820},"    std",[5516,6931,5824],{"class":5813},[5516,6933,6934],{"class":5820},"vector",[5516,6936,6076],{"class":5813},[5516,6938,6939],{"class":5820},"HashNode",[5516,6941,6076],{"class":5813},[5516,6943,6944],{"class":5820},"K",[5516,6946,6541],{"class":5813},[5516,6948,6949],{"class":5820},"V",[5516,6951,6952],{"class":5813},">*> ",[5516,6954,6955],{"class":5833},"buckets",[5516,6957,6015],{"class":5813},[5516,6959,6960],{"class":6018},"  \u002F\u002F Масив покажчиків на голови списків\n",[5516,6962,6963,6965,6968,6970],{"class":5518,"line":5679},[5516,6964,5984],{"class":5805},[5516,6966,6967],{"class":5833}," count",[5516,6969,6015],{"class":5813},[5516,6971,6972],{"class":6018},"                          \u002F\u002F Кількість елементів у таблиці\n",[5516,6974,6975,6977,6980,6982],{"class":5518,"line":5685},[5516,6976,5984],{"class":5805},[5516,6978,6979],{"class":5833}," bucketCount",[5516,6981,6015],{"class":5813},[5516,6983,6984],{"class":6018},"                    \u002F\u002F Кількість бакетів\n",[5516,6986,6987],{"class":5518,"line":5690},[5516,6988,6024],{"class":5813},[5516,6990,6991],{"class":5518,"line":5695},[5516,6992,6993],{"class":6018},"    \u002F\u002F Константа для обчислення порогу завантаження\n",[5516,6995,6997,7000,7003,7006,7009,7011,7013],{"class":5518,"line":6996},32,[5516,6998,6999],{"class":5805},"    static",[5516,7001,7002],{"class":5805}," constexpr",[5516,7004,7005],{"class":5805}," double",[5516,7007,7008],{"class":5833}," MAX_LOAD_FACTOR",[5516,7010,5989],{"class":5813},[5516,7012,6494],{"class":5992},[5516,7014,5996],{"class":5813},[5516,7016,7018],{"class":5518,"line":7017},33,[5516,7019,6024],{"class":5813},[5516,7021,7023],{"class":5518,"line":7022},34,[5516,7024,7025],{"class":6018},"    \u002F\u002F Приватні допоміжні методи\n",[5516,7027,7029,7031,7034,7036,7038,7040,7042,7044,7047,7049],{"class":5518,"line":7028},35,[5516,7030,5984],{"class":5805},[5516,7032,7033],{"class":5809}," hashFunction",[5516,7035,5814],{"class":5813},[5516,7037,5817],{"class":5805},[5516,7039,6538],{"class":5820},[5516,7041,5830],{"class":5805},[5516,7043,5834],{"class":5833},[5516,7045,7046],{"class":5813},") ",[5516,7048,5817],{"class":5805},[5516,7050,5996],{"class":5813},[5516,7052,7054,7056,7059,7061,7063,7065,7067,7069,7071,7073],{"class":5518,"line":7053},36,[5516,7055,5984],{"class":5805},[5516,7057,7058],{"class":5809}," getBucketIndex",[5516,7060,5814],{"class":5813},[5516,7062,5817],{"class":5805},[5516,7064,6538],{"class":5820},[5516,7066,5830],{"class":5805},[5516,7068,5834],{"class":5833},[5516,7070,7046],{"class":5813},[5516,7072,5817],{"class":5805},[5516,7074,5996],{"class":5813},[5516,7076,7078,7081,7084],{"class":5518,"line":7077},37,[5516,7079,7080],{"class":5805},"    void",[5516,7082,7083],{"class":5809}," rehash",[5516,7085,7086],{"class":5813},"();\n",[5516,7088,7090,7092,7095,7097,7099,7101,7103,7105,7107,7110,7112,7115],{"class":5518,"line":7089},38,[5516,7091,7080],{"class":5805},[5516,7093,7094],{"class":5809}," destroyBucket",[5516,7096,5814],{"class":5813},[5516,7098,6939],{"class":5820},[5516,7100,6076],{"class":5813},[5516,7102,6944],{"class":5820},[5516,7104,6541],{"class":5813},[5516,7106,6949],{"class":5820},[5516,7108,7109],{"class":5813},">",[5516,7111,6594],{"class":5805},[5516,7113,7114],{"class":5833}," node",[5516,7116,5837],{"class":5813},[5516,7118,7120],{"class":5518,"line":7119},39,[5516,7121,5541],{"emptyLinePlaceholder":5540},[5516,7123,7125],{"class":5518,"line":7124},40,[5516,7126,7127],{"class":5805},"public:\n",[5516,7129,7131],{"class":5518,"line":7130},41,[5516,7132,7133],{"class":6018},"    \u002F\u002F Конструктор: створює таблицю із заданою початковою ємністю\n",[5516,7135,7137,7140,7143,7145,7147,7150,7152,7155],{"class":5518,"line":7136},42,[5516,7138,7139],{"class":5805},"    explicit",[5516,7141,7142],{"class":5809}," HashTable",[5516,7144,5814],{"class":5813},[5516,7146,5806],{"class":5805},[5516,7148,7149],{"class":5833}," capacity",[5516,7151,5989],{"class":5813},[5516,7153,7154],{"class":5992},"16",[5516,7156,5837],{"class":5813},[5516,7158,7160],{"class":5518,"line":7159},43,[5516,7161,6024],{"class":5813},[5516,7163,7165],{"class":5518,"line":7164},44,[5516,7166,7167],{"class":6018},"    \u002F\u002F Деструктор: звільняє всі вузли (RAII)\n",[5516,7169,7171,7174],{"class":5518,"line":7170},45,[5516,7172,7173],{"class":5809},"    ~HashTable",[5516,7175,7086],{"class":5813},[5516,7177,7179],{"class":5518,"line":7178},46,[5516,7180,6024],{"class":5813},[5516,7182,7184],{"class":5518,"line":7183},47,[5516,7185,7186],{"class":6018},"    \u002F\u002F Заборона копіювання (для простоти)\n",[5516,7188,7190,7193,7195,7197,7199,7201,7204,7207],{"class":5518,"line":7189},48,[5516,7191,7192],{"class":5809},"    HashTable",[5516,7194,5814],{"class":5813},[5516,7196,5817],{"class":5805},[5516,7198,7142],{"class":5820},[5516,7200,5830],{"class":5805},[5516,7202,7203],{"class":5813},") = ",[5516,7205,7206],{"class":5805},"delete",[5516,7208,5996],{"class":5813},[5516,7210,7212,7214,7216,7219,7221,7223,7225,7227,7229,7231],{"class":5518,"line":7211},49,[5516,7213,7192],{"class":5820},[5516,7215,5830],{"class":5805},[5516,7217,7218],{"class":6029}," operator=",[5516,7220,5814],{"class":5813},[5516,7222,5817],{"class":5805},[5516,7224,7142],{"class":5820},[5516,7226,5830],{"class":5805},[5516,7228,7203],{"class":5813},[5516,7230,7206],{"class":5805},[5516,7232,5996],{"class":5813},[5516,7234,7236],{"class":5518,"line":7235},50,[5516,7237,6024],{"class":5813},[5516,7239,7241],{"class":5518,"line":7240},51,[5516,7242,7243],{"class":6018},"    \u002F\u002F Вставити пару (ключ, значення)\n",[5516,7245,7247,7249,7252,7254,7256,7258,7260,7262,7264,7266,7268,7270,7272],{"class":5518,"line":7246},52,[5516,7248,7080],{"class":5805},[5516,7250,7251],{"class":5809}," insert",[5516,7253,5814],{"class":5813},[5516,7255,5817],{"class":5805},[5516,7257,6538],{"class":5820},[5516,7259,5830],{"class":5805},[5516,7261,5834],{"class":5833},[5516,7263,6541],{"class":5813},[5516,7265,5817],{"class":5805},[5516,7267,6546],{"class":5820},[5516,7269,5830],{"class":5805},[5516,7271,6581],{"class":5833},[5516,7273,5837],{"class":5813},[5516,7275,7277],{"class":5518,"line":7276},53,[5516,7278,6024],{"class":5813},[5516,7280,7282],{"class":5518,"line":7281},54,[5516,7283,7284],{"class":6018},"    \u002F\u002F Видалити елемент за ключем\n",[5516,7286,7288,7291,7294,7296,7298,7300,7302,7304],{"class":5518,"line":7287},55,[5516,7289,7290],{"class":5805},"    bool",[5516,7292,7293],{"class":5809}," remove",[5516,7295,5814],{"class":5813},[5516,7297,5817],{"class":5805},[5516,7299,6538],{"class":5820},[5516,7301,5830],{"class":5805},[5516,7303,5834],{"class":5833},[5516,7305,5837],{"class":5813},[5516,7307,7309],{"class":5518,"line":7308},56,[5516,7310,6024],{"class":5813},[5516,7312,7314],{"class":5518,"line":7313},57,[5516,7315,7316],{"class":6018},"    \u002F\u002F Знайти значення за ключем (повертає покажчик або nullptr)\n",[5516,7318,7320,7322,7324,7327,7329,7331,7333,7335,7337],{"class":5518,"line":7319},58,[5516,7321,6578],{"class":5820},[5516,7323,6594],{"class":5805},[5516,7325,7326],{"class":5809}," find",[5516,7328,5814],{"class":5813},[5516,7330,5817],{"class":5805},[5516,7332,6538],{"class":5820},[5516,7334,5830],{"class":5805},[5516,7336,5834],{"class":5833},[5516,7338,5837],{"class":5813},[5516,7340,7342,7344,7346,7348,7350,7352,7354,7356,7358,7360,7362,7364],{"class":5518,"line":7341},59,[5516,7343,6001],{"class":5805},[5516,7345,6546],{"class":5820},[5516,7347,6594],{"class":5805},[5516,7349,7326],{"class":5809},[5516,7351,5814],{"class":5813},[5516,7353,5817],{"class":5805},[5516,7355,6538],{"class":5820},[5516,7357,5830],{"class":5805},[5516,7359,5834],{"class":5833},[5516,7361,7046],{"class":5813},[5516,7363,5817],{"class":5805},[5516,7365,5996],{"class":5813},[5516,7367,7369],{"class":5518,"line":7368},60,[5516,7370,6024],{"class":5813},[5516,7372,7374],{"class":5518,"line":7373},61,[5516,7375,7376],{"class":6018},"    \u002F\u002F Перевірити, чи таблиця порожня\n",[5516,7378,7380,7382,7385,7388,7390],{"class":5518,"line":7379},62,[5516,7381,7290],{"class":5805},[5516,7383,7384],{"class":5809}," isEmpty",[5516,7386,7387],{"class":5813},"() ",[5516,7389,5817],{"class":5805},[5516,7391,5996],{"class":5813},[5516,7393,7395],{"class":5518,"line":7394},63,[5516,7396,6024],{"class":5813},[5516,7398,7400],{"class":5518,"line":7399},64,[5516,7401,7402],{"class":6018},"    \u002F\u002F Отримати кількість елементів\n",[5516,7404,7406,7408,7411,7413,7415],{"class":5518,"line":7405},65,[5516,7407,5984],{"class":5805},[5516,7409,7410],{"class":5809}," size",[5516,7412,7387],{"class":5813},[5516,7414,5817],{"class":5805},[5516,7416,5996],{"class":5813},[5516,7418,7420],{"class":5518,"line":7419},66,[5516,7421,6024],{"class":5813},[5516,7423,7425],{"class":5518,"line":7424},67,[5516,7426,7427],{"class":6018},"    \u002F\u002F Отримати поточну ємність (кількість бакетів)\n",[5516,7429,7431,7433,7435,7437,7439],{"class":5518,"line":7430},68,[5516,7432,5984],{"class":5805},[5516,7434,7149],{"class":5809},[5516,7436,7387],{"class":5813},[5516,7438,5817],{"class":5805},[5516,7440,5996],{"class":5813},[5516,7442,7444],{"class":5518,"line":7443},69,[5516,7445,6024],{"class":5813},[5516,7447,7449],{"class":5518,"line":7448},70,[5516,7450,7451],{"class":6018},"    \u002F\u002F Обчислити поточний коефіцієнт завантаження\n",[5516,7453,7455,7458,7461,7463,7465],{"class":5518,"line":7454},71,[5516,7456,7457],{"class":5805},"    double",[5516,7459,7460],{"class":5809}," loadFactor",[5516,7462,7387],{"class":5813},[5516,7464,5817],{"class":5805},[5516,7466,5996],{"class":5813},[5516,7468,7470],{"class":5518,"line":7469},72,[5516,7471,6024],{"class":5813},[5516,7473,7475],{"class":5518,"line":7474},73,[5516,7476,7477],{"class":6018},"    \u002F\u002F Вивести статистику таблиці (для відлагодження)\n",[5516,7479,7481,7483,7486,7488,7490],{"class":5518,"line":7480},74,[5516,7482,7080],{"class":5805},[5516,7484,7485],{"class":5809}," printStatistics",[5516,7487,7387],{"class":5813},[5516,7489,5817],{"class":5805},[5516,7491,5996],{"class":5813},[5516,7493,7495],{"class":5518,"line":7494},75,[5516,7496,6681],{"class":5813},[5516,7498,7500],{"class":5518,"line":7499},76,[5516,7501,5541],{"emptyLinePlaceholder":5540},[5516,7503,7505],{"class":5518,"line":7504},77,[5516,7506,7507],{"class":6029},"#endif\n",[5383,7509,7510],{},[5271,7511,7512],{},"Ключові рішення дизайну:",[5728,7514,7515,7527,7536],{},[5267,7516,7517,7520,7521,7523,7524,7526],{},[5271,7518,7519],{},"Шаблонний клас:"," ",[5364,7522,6944],{}," — тип ключа, ",[5364,7525,6949],{}," — тип значення. Універсальність як у STL-контейнерах.",[5267,7528,7529,7535],{},[5271,7530,7531,7534],{},[5364,7532,7533],{},"std::vector\u003CHashNode*>",":"," Масив покажчиків на голови списків. Вектор дозволяє легко змінювати розмір при rehash.",[5267,7537,7538,7520,7541,7544,7545,7548,7549,6211],{},[5271,7539,7540],{},"Відстежування розміру:",[5364,7542,7543],{},"count"," — поточна кількість елементів, ",[5364,7546,7547],{},"bucketCount"," — кількість бакетів. Коефіцієнт завантаження ",[5364,7550,7551],{},"λ = count \u002F bucketCount",[5465,7553,7555,7556,7559,7560,7563,7564,7566,7567,7570],{"title":7554},"Чому capacity = 16 за замовчуванням?","Стандартні контейнери STL (",[5364,7557,7558],{},"std::unordered_map",") зазвичай починають з ємності 8–16 бакетів. Це баланс між витратами пам'яті (не витрачати багато на пусту таблицю) та частотою перехешувань (не робити rehash після кожної вставки). Ємність завжди має бути ",[5271,7561,7562],{},"ступенем двійки"," для оптимізації (можна використовувати побітове ",[5364,7565,5830],{}," замість ",[5364,7568,7569],{},"%","), але для спрощення ми використаємо звичайний модуль.",[5375,7572],{},[5378,7574,7576],{"id":7575},"реалізація-конструктора-деструктора-та-допоміжних-методів","Реалізація конструктора, деструктора та допоміжних методів",[5770,7578,7580],{"id":7579},"конструктор-та-ініціалізація-бакетів","Конструктор та ініціалізація бакетів",[5507,7582,7584],{"className":5796,"code":7583,"language":5798,"meta":5512,"style":5512},"\u002F\u002F HashTable.cpp (реалізація шаблонного класу зазвичай у .h, але для наочності виносимо окремо)\n\ntemplate \u003Ctypename K, typename V>\nHashTable\u003CK, V>::HashTable(size_t capacity)\n    : buckets(capacity, nullptr)\n    , count(0)\n    , bucketCount(capacity)\n{\n    if (capacity == 0)\n    {\n        throw std::invalid_argument(\"Capacity must be greater than zero\");\n    }\n}\n",[5364,7585,7586,7591,7595,7613,7639,7657,7670,7682,7686,7702,7706,7725,7729],{"__ignoreMap":5512},[5516,7587,7588],{"class":5518,"line":5519},[5516,7589,7590],{"class":6018},"\u002F\u002F HashTable.cpp (реалізація шаблонного класу зазвичай у .h, але для наочності виносимо окремо)\n",[5516,7592,7593],{"class":5518,"line":5525},[5516,7594,5541],{"emptyLinePlaceholder":5540},[5516,7596,7597,7599,7601,7603,7605,7607,7609,7611],{"class":5518,"line":5531},[5516,7598,6529],{"class":5805},[5516,7600,6532],{"class":5813},[5516,7602,6535],{"class":5805},[5516,7604,6538],{"class":5820},[5516,7606,6541],{"class":5813},[5516,7608,6535],{"class":5805},[5516,7610,6546],{"class":5820},[5516,7612,6549],{"class":5813},[5516,7614,7615,7618,7620,7622,7624,7626,7629,7631,7633,7635,7637],{"class":5518,"line":5537},[5516,7616,7617],{"class":5820},"HashTable",[5516,7619,6076],{"class":5813},[5516,7621,6944],{"class":5820},[5516,7623,6541],{"class":5813},[5516,7625,6949],{"class":5820},[5516,7627,7628],{"class":5813},">::",[5516,7630,7617],{"class":5809},[5516,7632,5814],{"class":5813},[5516,7634,5806],{"class":5805},[5516,7636,7149],{"class":5833},[5516,7638,5974],{"class":5813},[5516,7640,7641,7644,7646,7648,7651,7653,7655],{"class":5518,"line":5544},[5516,7642,7643],{"class":5813},"    : ",[5516,7645,6955],{"class":5809},[5516,7647,5814],{"class":5813},[5516,7649,7650],{"class":5833},"capacity",[5516,7652,6541],{"class":5813},[5516,7654,6666],{"class":5805},[5516,7656,5974],{"class":5813},[5516,7658,7659,7662,7664,7666,7668],{"class":5518,"line":5550},[5516,7660,7661],{"class":5813},"    , ",[5516,7663,7543],{"class":5809},[5516,7665,5814],{"class":5813},[5516,7667,5993],{"class":5992},[5516,7669,5974],{"class":5813},[5516,7671,7672,7674,7676,7678,7680],{"class":5518,"line":5556},[5516,7673,7661],{"class":5813},[5516,7675,7547],{"class":5809},[5516,7677,5814],{"class":5813},[5516,7679,7650],{"class":5833},[5516,7681,5974],{"class":5813},[5516,7683,7684],{"class":5518,"line":5562},[5516,7685,5979],{"class":5813},[5516,7687,7688,7691,7693,7695,7698,7700],{"class":5518,"line":5568},[5516,7689,7690],{"class":6029},"    if",[5516,7692,5289],{"class":5813},[5516,7694,7650],{"class":5833},[5516,7696,7697],{"class":5813}," == ",[5516,7699,5993],{"class":5992},[5516,7701,5974],{"class":5813},[5516,7703,7704],{"class":5518,"line":5574},[5516,7705,6051],{"class":5813},[5516,7707,7708,7711,7713,7715,7718,7720,7723],{"class":5518,"line":5580},[5516,7709,7710],{"class":6029},"        throw",[5516,7712,5821],{"class":5820},[5516,7714,5824],{"class":5813},[5516,7716,7717],{"class":5809},"invalid_argument",[5516,7719,5814],{"class":5813},[5516,7721,7722],{"class":6189},"\"Capacity must be greater than zero\"",[5516,7724,5837],{"class":5813},[5516,7726,7727],{"class":5518,"line":5586},[5516,7728,6091],{"class":5813},[5516,7730,7731],{"class":5518,"line":5592},[5516,7732,5601],{"class":5813},[5383,7734,7735,7737,7738,7740,7741,7743,7744,7746],{},[5271,7736,6113],{}," Створюємо вектор із ",[5364,7739,7650],{}," покажчиків, всі ініціалізовані як ",[5364,7742,6666],{}," (пусті бакети). Початковий розмір таблиці (",[5364,7745,7543],{},") — 0, оскільки немає елементів.",[5770,7748,7750],{"id":7749},"деструктор-звільнення-всіх-ланцюжків","Деструктор: звільнення всіх ланцюжків",[5507,7752,7754],{"className":5796,"code":7753,"language":5798,"meta":5512,"style":5512},"template \u003Ctypename K, typename V>\nHashTable\u003CK, V>::~HashTable()\n{\n    \u002F\u002F Проходимо по всіх бакетах та знищуємо їхні списки\n    for (size_t i = 0; i \u003C bucketCount; ++i)\n    {\n        destroyBucket(buckets[i]);\n    }\n}\n\n\u002F\u002F Рекурсивне знищення зв'язаного списку в бакеті\ntemplate \u003Ctypename K, typename V>\nvoid HashTable\u003CK, V>::destroyBucket(HashNode\u003CK, V>* node)\n{\n    if (node == nullptr)\n    {\n        return;  \u002F\u002F Базовий випадок: порожній бакет\n    }\n    \n    \u002F\u002F Рекурсивно знищуємо наступний вузол\n    destroyBucket(node->next);\n    \n    \u002F\u002F Тепер можна видалити поточний вузол\n    delete node;\n}\n",[5364,7755,7756,7774,7794,7798,7803,7836,7840,7857,7861,7865,7869,7874,7892,7932,7936,7951,7955,7965,7969,7973,7978,7994,7998,8003,8012],{"__ignoreMap":5512},[5516,7757,7758,7760,7762,7764,7766,7768,7770,7772],{"class":5518,"line":5519},[5516,7759,6529],{"class":5805},[5516,7761,6532],{"class":5813},[5516,7763,6535],{"class":5805},[5516,7765,6538],{"class":5820},[5516,7767,6541],{"class":5813},[5516,7769,6535],{"class":5805},[5516,7771,6546],{"class":5820},[5516,7773,6549],{"class":5813},[5516,7775,7776,7778,7780,7782,7784,7786,7789,7791],{"class":5518,"line":5525},[5516,7777,7617],{"class":5820},[5516,7779,6076],{"class":5813},[5516,7781,6944],{"class":5820},[5516,7783,6541],{"class":5813},[5516,7785,6949],{"class":5820},[5516,7787,7788],{"class":5813},">::~",[5516,7790,7617],{"class":5809},[5516,7792,7793],{"class":5813},"()\n",[5516,7795,7796],{"class":5518,"line":5531},[5516,7797,5979],{"class":5813},[5516,7799,7800],{"class":5518,"line":5537},[5516,7801,7802],{"class":6018},"    \u002F\u002F Проходимо по всіх бакетах та знищуємо їхні списки\n",[5516,7804,7805,7807,7809,7811,7814,7816,7818,7821,7824,7827,7829,7832,7834],{"class":5518,"line":5544},[5516,7806,6030],{"class":6029},[5516,7808,5289],{"class":5813},[5516,7810,5806],{"class":5805},[5516,7812,7813],{"class":5833}," i",[5516,7815,5989],{"class":5813},[5516,7817,5993],{"class":5992},[5516,7819,7820],{"class":5813},"; ",[5516,7822,7823],{"class":5833},"i",[5516,7825,7826],{"class":5813}," \u003C ",[5516,7828,7547],{"class":5833},[5516,7830,7831],{"class":5813},"; ++",[5516,7833,7823],{"class":5833},[5516,7835,5974],{"class":5813},[5516,7837,7838],{"class":5518,"line":5550},[5516,7839,6051],{"class":5813},[5516,7841,7842,7845,7847,7849,7852,7854],{"class":5518,"line":5556},[5516,7843,7844],{"class":5809},"        destroyBucket",[5516,7846,5814],{"class":5813},[5516,7848,6955],{"class":5833},[5516,7850,7851],{"class":5813},"[",[5516,7853,7823],{"class":5833},[5516,7855,7856],{"class":5813},"]);\n",[5516,7858,7859],{"class":5518,"line":5562},[5516,7860,6091],{"class":5813},[5516,7862,7863],{"class":5518,"line":5568},[5516,7864,5601],{"class":5813},[5516,7866,7867],{"class":5518,"line":5574},[5516,7868,5541],{"emptyLinePlaceholder":5540},[5516,7870,7871],{"class":5518,"line":5580},[5516,7872,7873],{"class":6018},"\u002F\u002F Рекурсивне знищення зв'язаного списку в бакеті\n",[5516,7875,7876,7878,7880,7882,7884,7886,7888,7890],{"class":5518,"line":5586},[5516,7877,6529],{"class":5805},[5516,7879,6532],{"class":5813},[5516,7881,6535],{"class":5805},[5516,7883,6538],{"class":5820},[5516,7885,6541],{"class":5813},[5516,7887,6535],{"class":5805},[5516,7889,6546],{"class":5820},[5516,7891,6549],{"class":5813},[5516,7893,7894,7897,7899,7901,7903,7905,7907,7909,7912,7914,7916,7918,7920,7922,7924,7926,7928,7930],{"class":5518,"line":5592},[5516,7895,7896],{"class":5805},"void",[5516,7898,7142],{"class":5820},[5516,7900,6076],{"class":5813},[5516,7902,6944],{"class":5820},[5516,7904,6541],{"class":5813},[5516,7906,6949],{"class":5820},[5516,7908,7628],{"class":5813},[5516,7910,7911],{"class":5809},"destroyBucket",[5516,7913,5814],{"class":5813},[5516,7915,6939],{"class":5820},[5516,7917,6076],{"class":5813},[5516,7919,6944],{"class":5820},[5516,7921,6541],{"class":5813},[5516,7923,6949],{"class":5820},[5516,7925,7109],{"class":5813},[5516,7927,6594],{"class":5805},[5516,7929,7114],{"class":5833},[5516,7931,5974],{"class":5813},[5516,7933,7934],{"class":5518,"line":5598},[5516,7935,5979],{"class":5813},[5516,7937,7938,7940,7942,7945,7947,7949],{"class":5518,"line":5604},[5516,7939,7690],{"class":6029},[5516,7941,5289],{"class":5813},[5516,7943,7944],{"class":5833},"node",[5516,7946,7697],{"class":5813},[5516,7948,6666],{"class":5805},[5516,7950,5974],{"class":5813},[5516,7952,7953],{"class":5518,"line":5609},[5516,7954,6051],{"class":5813},[5516,7956,7957,7960,7962],{"class":5518,"line":5615},[5516,7958,7959],{"class":6029},"        return",[5516,7961,6015],{"class":5813},[5516,7963,7964],{"class":6018},"  \u002F\u002F Базовий випадок: порожній бакет\n",[5516,7966,7967],{"class":5518,"line":5621},[5516,7968,6091],{"class":5813},[5516,7970,7971],{"class":5518,"line":5627},[5516,7972,6024],{"class":5813},[5516,7974,7975],{"class":5518,"line":5632},[5516,7976,7977],{"class":6018},"    \u002F\u002F Рекурсивно знищуємо наступний вузол\n",[5516,7979,7980,7983,7985,7987,7990,7992],{"class":5518,"line":5638},[5516,7981,7982],{"class":5809},"    destroyBucket",[5516,7984,5814],{"class":5813},[5516,7986,7944],{"class":5833},[5516,7988,7989],{"class":5813},"->",[5516,7991,6661],{"class":5833},[5516,7993,5837],{"class":5813},[5516,7995,7996],{"class":5518,"line":5644},[5516,7997,6024],{"class":5813},[5516,7999,8000],{"class":5518,"line":5650},[5516,8001,8002],{"class":6018},"    \u002F\u002F Тепер можна видалити поточний вузол\n",[5516,8004,8005,8008,8010],{"class":5518,"line":5656},[5516,8006,8007],{"class":6029},"    delete",[5516,8009,7114],{"class":5833},[5516,8011,5996],{"class":5813},[5516,8013,8014],{"class":5518,"line":5662},[5516,8015,5601],{"class":5813},[5383,8017,8018,8021,8022,8025,8026,8029],{},[5271,8019,8020],{},"Порядок видалення:"," Спочатку видаляємо ",[5271,8023,8024],{},"хвіст"," списку (рекурсивно), потім ",[5271,8027,8028],{},"голову",". Це гарантує, що ми не втратимо доступ до наступних вузлів.",[8031,8032,8034,8035,6265,8037,8040],"caution",{"title":8033},"Витік пам'яті без деструктора","Якщо забути реалізувати деструктор, всі вузли у бакетах залишаться у купі після знищення об'єкта ",[5364,8036,7617],{},[5271,8038,8039],{},"витік пам'яті",". Для великих таблиць це може спричинити вичерпання пам'яті процесу.",[5770,8042,8044],{"id":8043},"хеш-функція-та-обчислення-індексу-бакета","Хеш-функція та обчислення індексу бакета",[5507,8046,8048],{"className":5796,"code":8047,"language":5798,"meta":5512,"style":5512},"\u002F\u002F Спеціалізація для std::string (для інших типів потрібні окремі перевантаження)\ntemplate \u003C>\nsize_t HashTable\u003Cstd::string, std::string>::hashFunction(const std::string& key) const\n{\n    size_t hash = 0;\n    const size_t prime = 31;\n    \n    for (char c : key)\n    {\n        hash = hash * prime + static_cast\u003Csize_t>(c);\n    }\n    \n    return hash;\n}\n\n\u002F\u002F Загальний метод для будь-яких типів K, V\ntemplate \u003Ctypename K, typename V>\nsize_t HashTable\u003CK, V>::getBucketIndex(const K& key) const\n{\n    return hashFunction(key) % bucketCount;\n}\n",[5364,8049,8050,8055,8062,8109,8113,8125,8139,8143,8159,8163,8189,8193,8197,8205,8209,8213,8218,8236,8269,8273,8289],{"__ignoreMap":5512},[5516,8051,8052],{"class":5518,"line":5519},[5516,8053,8054],{"class":6018},"\u002F\u002F Спеціалізація для std::string (для інших типів потрібні окремі перевантаження)\n",[5516,8056,8057,8059],{"class":5518,"line":5525},[5516,8058,6529],{"class":5805},[5516,8060,8061],{"class":5813}," \u003C>\n",[5516,8063,8064,8066,8068,8070,8073,8075,8077,8079,8081,8083,8085,8087,8090,8092,8094,8096,8098,8100,8102,8104,8106],{"class":5518,"line":5531},[5516,8065,5806],{"class":5805},[5516,8067,7142],{"class":5820},[5516,8069,6076],{"class":5813},[5516,8071,8072],{"class":5820},"std",[5516,8074,5824],{"class":5813},[5516,8076,5827],{"class":5820},[5516,8078,6541],{"class":5813},[5516,8080,8072],{"class":5820},[5516,8082,5824],{"class":5813},[5516,8084,5827],{"class":5820},[5516,8086,7628],{"class":5813},[5516,8088,8089],{"class":5809},"hashFunction",[5516,8091,5814],{"class":5813},[5516,8093,5817],{"class":5805},[5516,8095,5821],{"class":5820},[5516,8097,5824],{"class":5813},[5516,8099,5827],{"class":5820},[5516,8101,5830],{"class":5805},[5516,8103,5834],{"class":5833},[5516,8105,7046],{"class":5813},[5516,8107,8108],{"class":5805},"const\n",[5516,8110,8111],{"class":5518,"line":5537},[5516,8112,5979],{"class":5813},[5516,8114,8115,8117,8119,8121,8123],{"class":5518,"line":5544},[5516,8116,5984],{"class":5805},[5516,8118,5810],{"class":5833},[5516,8120,5989],{"class":5813},[5516,8122,5993],{"class":5992},[5516,8124,5996],{"class":5813},[5516,8126,8127,8129,8131,8133,8135,8137],{"class":5518,"line":5550},[5516,8128,6001],{"class":5805},[5516,8130,6004],{"class":5805},[5516,8132,6007],{"class":5833},[5516,8134,5989],{"class":5813},[5516,8136,6012],{"class":5992},[5516,8138,5996],{"class":5813},[5516,8140,8141],{"class":5518,"line":5556},[5516,8142,6024],{"class":5813},[5516,8144,8145,8147,8149,8151,8153,8155,8157],{"class":5518,"line":5562},[5516,8146,6030],{"class":6029},[5516,8148,5289],{"class":5813},[5516,8150,6035],{"class":5805},[5516,8152,6038],{"class":5833},[5516,8154,6041],{"class":5813},[5516,8156,6044],{"class":5833},[5516,8158,5974],{"class":5813},[5516,8160,8161],{"class":5518,"line":5568},[5516,8162,6051],{"class":5813},[5516,8164,8165,8167,8169,8171,8173,8175,8177,8179,8181,8183,8185,8187],{"class":5518,"line":5574},[5516,8166,6056],{"class":5833},[5516,8168,5989],{"class":5813},[5516,8170,6061],{"class":5833},[5516,8172,6064],{"class":5813},[5516,8174,6067],{"class":5833},[5516,8176,6070],{"class":5813},[5516,8178,6073],{"class":5805},[5516,8180,6076],{"class":5813},[5516,8182,5806],{"class":5805},[5516,8184,6081],{"class":5813},[5516,8186,6084],{"class":5833},[5516,8188,5837],{"class":5813},[5516,8190,8191],{"class":5518,"line":5580},[5516,8192,6091],{"class":5813},[5516,8194,8195],{"class":5518,"line":5586},[5516,8196,6024],{"class":5813},[5516,8198,8199,8201,8203],{"class":5518,"line":5592},[5516,8200,6100],{"class":6029},[5516,8202,5810],{"class":5833},[5516,8204,5996],{"class":5813},[5516,8206,8207],{"class":5518,"line":5598},[5516,8208,5601],{"class":5813},[5516,8210,8211],{"class":5518,"line":5604},[5516,8212,5541],{"emptyLinePlaceholder":5540},[5516,8214,8215],{"class":5518,"line":5609},[5516,8216,8217],{"class":6018},"\u002F\u002F Загальний метод для будь-яких типів K, V\n",[5516,8219,8220,8222,8224,8226,8228,8230,8232,8234],{"class":5518,"line":5615},[5516,8221,6529],{"class":5805},[5516,8223,6532],{"class":5813},[5516,8225,6535],{"class":5805},[5516,8227,6538],{"class":5820},[5516,8229,6541],{"class":5813},[5516,8231,6535],{"class":5805},[5516,8233,6546],{"class":5820},[5516,8235,6549],{"class":5813},[5516,8237,8238,8240,8242,8244,8246,8248,8250,8252,8255,8257,8259,8261,8263,8265,8267],{"class":5518,"line":5621},[5516,8239,5806],{"class":5805},[5516,8241,7142],{"class":5820},[5516,8243,6076],{"class":5813},[5516,8245,6944],{"class":5820},[5516,8247,6541],{"class":5813},[5516,8249,6949],{"class":5820},[5516,8251,7628],{"class":5813},[5516,8253,8254],{"class":5809},"getBucketIndex",[5516,8256,5814],{"class":5813},[5516,8258,5817],{"class":5805},[5516,8260,6538],{"class":5820},[5516,8262,5830],{"class":5805},[5516,8264,5834],{"class":5833},[5516,8266,7046],{"class":5813},[5516,8268,8108],{"class":5805},[5516,8270,8271],{"class":5518,"line":5627},[5516,8272,5979],{"class":5813},[5516,8274,8275,8277,8279,8281,8283,8285,8287],{"class":5518,"line":5632},[5516,8276,6100],{"class":6029},[5516,8278,7033],{"class":5809},[5516,8280,5814],{"class":5813},[5516,8282,6044],{"class":5833},[5516,8284,6193],{"class":5813},[5516,8286,7547],{"class":5833},[5516,8288,5996],{"class":5813},[5516,8290,8291],{"class":5518,"line":5638},[5516,8292,5601],{"class":5813},[5383,8294,8295],{},[5271,8296,8297],{},"Два кроки:",[5728,8299,8300,8309],{},[5267,8301,8302,7520,8305,8308],{},[5271,8303,8304],{},"Обчислити хеш-код:",[5364,8306,8307],{},"hashFunction(key)"," → велике ціле число.",[5267,8310,8311,7520,8314,8317,8318,6211],{},[5271,8312,8313],{},"Звести до діапазону бакетів:",[5364,8315,8316],{},"hash % bucketCount"," → індекс ",[5364,8319,8320],{},"[0, bucketCount)",[5383,8322,8323,8326,8327,6231,8329,8332,8333,6211],{},[5271,8324,8325],{},"Для узагальнених типів K:"," У продакшн-коді потрібно використовувати шаблонну спеціалізацію або вимагати від користувача надання власної хеш-функції (як у ",[5364,8328,7558],{},[5364,8330,8331],{},"std::hash\u003CK>","). Для навчальних цілей ми фокусуємось на ",[5364,8334,8335],{},"std::string",[5375,8337],{},[5378,8339,8341],{"id":8340},"операція-вставки-додавання-елемента-та-обробка-колізій","Операція вставки: додавання елемента та обробка колізій",[5770,8343,8345],{"id":8344},"алгоритм-вставки","Алгоритм вставки",[5728,8347,8348,8354,8376,8381],{},[5267,8349,8350,8351,6211],{},"Обчислити індекс бакета: ",[5364,8352,8353],{},"index = getBucketIndex(key)",[5267,8355,8356,8357],{},"Перевірити, чи ключ вже існує у ланцюжку бакета:\n",[5264,8358,8359,8366],{},[5267,8360,8361,8362,8365],{},"Якщо ",[5271,8363,8364],{},"так"," → оновити значення (політика перезапису).",[5267,8367,8361,8368,8371,8372,8375],{},[5271,8369,8370],{},"ні"," → створити новий вузол і додати його на ",[5271,8373,8374],{},"початок"," списку (O(1) вставка).",[5267,8377,8378,8379,6211],{},"Збільшити ",[5364,8380,7543],{},[5267,8382,8383,8384,8387,8388,6211],{},"Перевірити коефіцієнт завантаження: якщо ",[5364,8385,8386],{},"λ > MAX_LOAD_FACTOR"," → виконати ",[5364,8389,8390],{},"rehash()",[5507,8392,8394],{"className":5796,"code":8393,"language":5798,"meta":5512,"style":5512},"template \u003Ctypename K, typename V>\nvoid HashTable\u003CK, V>::insert(const K& key, const V& value)\n{\n    \u002F\u002F Крок 1: Знайти індекс бакета\n    size_t index = getBucketIndex(key);\n    \n    \u002F\u002F Крок 2: Перевірити, чи ключ вже існує\n    HashNode\u003CK, V>* current = buckets[index];\n    while (current != nullptr)\n    {\n        if (current->key == key)\n        {\n            \u002F\u002F Ключ знайдено → оновлюємо значення\n            current->value = value;\n            return;  \u002F\u002F Розмір не змінюється\n        }\n        current = current->next;\n    }\n    \n    \u002F\u002F Крок 3: Ключ не знайдено → створюємо новий вузол\n    HashNode\u003CK, V>* newNode = new HashNode\u003CK, V>(key, value);\n    \n    \u002F\u002F Вставка на початок списку (O(1))\n    newNode->next = buckets[index];\n    buckets[index] = newNode;\n    \n    \u002F\u002F Крок 4: Збільшити розмір\n    ++count;\n    \n    \u002F\u002F Крок 5: Перевірити коефіцієнт завантаження\n    if (loadFactor() > MAX_LOAD_FACTOR)\n    {\n        rehash();\n    }\n}\n\ntemplate \u003Ctypename K, typename V>\ndouble HashTable\u003CK, V>::loadFactor() const\n{\n    return static_cast\u003Cdouble>(count) \u002F bucketCount;\n}\n",[5364,8395,8396,8414,8455,8459,8464,8480,8484,8489,8519,8536,8540,8559,8564,8569,8584,8594,8599,8614,8618,8622,8627,8672,8676,8681,8700,8717,8721,8726,8735,8739,8744,8761,8765,8772,8776,8780,8784,8802,8825,8829,8851],{"__ignoreMap":5512},[5516,8397,8398,8400,8402,8404,8406,8408,8410,8412],{"class":5518,"line":5519},[5516,8399,6529],{"class":5805},[5516,8401,6532],{"class":5813},[5516,8403,6535],{"class":5805},[5516,8405,6538],{"class":5820},[5516,8407,6541],{"class":5813},[5516,8409,6535],{"class":5805},[5516,8411,6546],{"class":5820},[5516,8413,6549],{"class":5813},[5516,8415,8416,8418,8420,8422,8424,8426,8428,8430,8433,8435,8437,8439,8441,8443,8445,8447,8449,8451,8453],{"class":5518,"line":5525},[5516,8417,7896],{"class":5805},[5516,8419,7142],{"class":5820},[5516,8421,6076],{"class":5813},[5516,8423,6944],{"class":5820},[5516,8425,6541],{"class":5813},[5516,8427,6949],{"class":5820},[5516,8429,7628],{"class":5813},[5516,8431,8432],{"class":5809},"insert",[5516,8434,5814],{"class":5813},[5516,8436,5817],{"class":5805},[5516,8438,6538],{"class":5820},[5516,8440,5830],{"class":5805},[5516,8442,5834],{"class":5833},[5516,8444,6541],{"class":5813},[5516,8446,5817],{"class":5805},[5516,8448,6546],{"class":5820},[5516,8450,5830],{"class":5805},[5516,8452,6581],{"class":5833},[5516,8454,5974],{"class":5813},[5516,8456,8457],{"class":5518,"line":5531},[5516,8458,5979],{"class":5813},[5516,8460,8461],{"class":5518,"line":5537},[5516,8462,8463],{"class":6018},"    \u002F\u002F Крок 1: Знайти індекс бакета\n",[5516,8465,8466,8468,8470,8472,8474,8476,8478],{"class":5518,"line":5544},[5516,8467,5984],{"class":5805},[5516,8469,6179],{"class":5833},[5516,8471,5989],{"class":5813},[5516,8473,8254],{"class":5809},[5516,8475,5814],{"class":5813},[5516,8477,6044],{"class":5833},[5516,8479,5837],{"class":5813},[5516,8481,8482],{"class":5518,"line":5550},[5516,8483,6024],{"class":5813},[5516,8485,8486],{"class":5518,"line":5556},[5516,8487,8488],{"class":6018},"    \u002F\u002F Крок 2: Перевірити, чи ключ вже існує\n",[5516,8490,8491,8493,8495,8497,8499,8501,8503,8505,8508,8510,8512,8514,8516],{"class":5518,"line":5562},[5516,8492,6591],{"class":5820},[5516,8494,6076],{"class":5813},[5516,8496,6944],{"class":5820},[5516,8498,6541],{"class":5813},[5516,8500,6949],{"class":5820},[5516,8502,7109],{"class":5813},[5516,8504,6594],{"class":5805},[5516,8506,8507],{"class":5833}," current",[5516,8509,5989],{"class":5813},[5516,8511,6955],{"class":5833},[5516,8513,7851],{"class":5813},[5516,8515,6206],{"class":5833},[5516,8517,8518],{"class":5813},"];\n",[5516,8520,8521,8524,8526,8529,8532,8534],{"class":5518,"line":5568},[5516,8522,8523],{"class":6029},"    while",[5516,8525,5289],{"class":5813},[5516,8527,8528],{"class":5833},"current",[5516,8530,8531],{"class":5813}," != ",[5516,8533,6666],{"class":5805},[5516,8535,5974],{"class":5813},[5516,8537,8538],{"class":5518,"line":5574},[5516,8539,6051],{"class":5813},[5516,8541,8542,8545,8547,8549,8551,8553,8555,8557],{"class":5518,"line":5580},[5516,8543,8544],{"class":6029},"        if",[5516,8546,5289],{"class":5813},[5516,8548,8528],{"class":5833},[5516,8550,7989],{"class":5813},[5516,8552,6044],{"class":5833},[5516,8554,7697],{"class":5813},[5516,8556,6044],{"class":5833},[5516,8558,5974],{"class":5813},[5516,8560,8561],{"class":5518,"line":5586},[5516,8562,8563],{"class":5813},"        {\n",[5516,8565,8566],{"class":5518,"line":5592},[5516,8567,8568],{"class":6018},"            \u002F\u002F Ключ знайдено → оновлюємо значення\n",[5516,8570,8571,8574,8576,8578,8580,8582],{"class":5518,"line":5598},[5516,8572,8573],{"class":5833},"            current",[5516,8575,7989],{"class":5813},[5516,8577,6651],{"class":5833},[5516,8579,5989],{"class":5813},[5516,8581,6651],{"class":5833},[5516,8583,5996],{"class":5813},[5516,8585,8586,8589,8591],{"class":5518,"line":5604},[5516,8587,8588],{"class":6029},"            return",[5516,8590,6015],{"class":5813},[5516,8592,8593],{"class":6018},"  \u002F\u002F Розмір не змінюється\n",[5516,8595,8596],{"class":5518,"line":5609},[5516,8597,8598],{"class":5813},"        }\n",[5516,8600,8601,8604,8606,8608,8610,8612],{"class":5518,"line":5615},[5516,8602,8603],{"class":5833},"        current",[5516,8605,5989],{"class":5813},[5516,8607,8528],{"class":5833},[5516,8609,7989],{"class":5813},[5516,8611,6661],{"class":5833},[5516,8613,5996],{"class":5813},[5516,8615,8616],{"class":5518,"line":5621},[5516,8617,6091],{"class":5813},[5516,8619,8620],{"class":5518,"line":5627},[5516,8621,6024],{"class":5813},[5516,8623,8624],{"class":5518,"line":5632},[5516,8625,8626],{"class":6018},"    \u002F\u002F Крок 3: Ключ не знайдено → створюємо новий вузол\n",[5516,8628,8629,8631,8633,8635,8637,8639,8641,8643,8646,8648,8651,8654,8656,8658,8660,8662,8664,8666,8668,8670],{"class":5518,"line":5638},[5516,8630,6591],{"class":5820},[5516,8632,6076],{"class":5813},[5516,8634,6944],{"class":5820},[5516,8636,6541],{"class":5813},[5516,8638,6949],{"class":5820},[5516,8640,7109],{"class":5813},[5516,8642,6594],{"class":5805},[5516,8644,8645],{"class":5833}," newNode",[5516,8647,5989],{"class":5813},[5516,8649,8650],{"class":6029},"new",[5516,8652,8653],{"class":5809}," HashNode",[5516,8655,6076],{"class":5813},[5516,8657,6944],{"class":5820},[5516,8659,6541],{"class":5813},[5516,8661,6949],{"class":5820},[5516,8663,6081],{"class":5813},[5516,8665,6044],{"class":5833},[5516,8667,6541],{"class":5813},[5516,8669,6651],{"class":5833},[5516,8671,5837],{"class":5813},[5516,8673,8674],{"class":5518,"line":5644},[5516,8675,6024],{"class":5813},[5516,8677,8678],{"class":5518,"line":5650},[5516,8679,8680],{"class":6018},"    \u002F\u002F Вставка на початок списку (O(1))\n",[5516,8682,8683,8686,8688,8690,8692,8694,8696,8698],{"class":5518,"line":5656},[5516,8684,8685],{"class":5833},"    newNode",[5516,8687,7989],{"class":5813},[5516,8689,6661],{"class":5833},[5516,8691,5989],{"class":5813},[5516,8693,6955],{"class":5833},[5516,8695,7851],{"class":5813},[5516,8697,6206],{"class":5833},[5516,8699,8518],{"class":5813},[5516,8701,8702,8705,8707,8709,8712,8715],{"class":5518,"line":5662},[5516,8703,8704],{"class":5833},"    buckets",[5516,8706,7851],{"class":5813},[5516,8708,6206],{"class":5833},[5516,8710,8711],{"class":5813},"] = ",[5516,8713,8714],{"class":5833},"newNode",[5516,8716,5996],{"class":5813},[5516,8718,8719],{"class":5518,"line":5667},[5516,8720,6024],{"class":5813},[5516,8722,8723],{"class":5518,"line":5673},[5516,8724,8725],{"class":6018},"    \u002F\u002F Крок 4: Збільшити розмір\n",[5516,8727,8728,8731,8733],{"class":5518,"line":5679},[5516,8729,8730],{"class":5813},"    ++",[5516,8732,7543],{"class":5833},[5516,8734,5996],{"class":5813},[5516,8736,8737],{"class":5518,"line":5685},[5516,8738,6024],{"class":5813},[5516,8740,8741],{"class":5518,"line":5690},[5516,8742,8743],{"class":6018},"    \u002F\u002F Крок 5: Перевірити коефіцієнт завантаження\n",[5516,8745,8746,8748,8750,8753,8756,8759],{"class":5518,"line":5695},[5516,8747,7690],{"class":6029},[5516,8749,5289],{"class":5813},[5516,8751,8752],{"class":5809},"loadFactor",[5516,8754,8755],{"class":5813},"() > ",[5516,8757,8758],{"class":5833},"MAX_LOAD_FACTOR",[5516,8760,5974],{"class":5813},[5516,8762,8763],{"class":5518,"line":6996},[5516,8764,6051],{"class":5813},[5516,8766,8767,8770],{"class":5518,"line":7017},[5516,8768,8769],{"class":5809},"        rehash",[5516,8771,7086],{"class":5813},[5516,8773,8774],{"class":5518,"line":7022},[5516,8775,6091],{"class":5813},[5516,8777,8778],{"class":5518,"line":7028},[5516,8779,5601],{"class":5813},[5516,8781,8782],{"class":5518,"line":7053},[5516,8783,5541],{"emptyLinePlaceholder":5540},[5516,8785,8786,8788,8790,8792,8794,8796,8798,8800],{"class":5518,"line":7077},[5516,8787,6529],{"class":5805},[5516,8789,6532],{"class":5813},[5516,8791,6535],{"class":5805},[5516,8793,6538],{"class":5820},[5516,8795,6541],{"class":5813},[5516,8797,6535],{"class":5805},[5516,8799,6546],{"class":5820},[5516,8801,6549],{"class":5813},[5516,8803,8804,8807,8809,8811,8813,8815,8817,8819,8821,8823],{"class":5518,"line":7089},[5516,8805,8806],{"class":5805},"double",[5516,8808,7142],{"class":5820},[5516,8810,6076],{"class":5813},[5516,8812,6944],{"class":5820},[5516,8814,6541],{"class":5813},[5516,8816,6949],{"class":5820},[5516,8818,7628],{"class":5813},[5516,8820,8752],{"class":5809},[5516,8822,7387],{"class":5813},[5516,8824,8108],{"class":5805},[5516,8826,8827],{"class":5518,"line":7119},[5516,8828,5979],{"class":5813},[5516,8830,8831,8833,8836,8838,8840,8842,8844,8847,8849],{"class":5518,"line":7124},[5516,8832,6100],{"class":6029},[5516,8834,8835],{"class":5805}," static_cast",[5516,8837,6076],{"class":5813},[5516,8839,8806],{"class":5805},[5516,8841,6081],{"class":5813},[5516,8843,7543],{"class":5833},[5516,8845,8846],{"class":5813},") \u002F ",[5516,8848,7547],{"class":5833},[5516,8850,5996],{"class":5813},[5516,8852,8853],{"class":5518,"line":7130},[5516,8854,5601],{"class":5813},[5383,8856,8857,8860,8861,8863],{},[5271,8858,8859],{},"Чому вставка на початок списку?"," Вставка в кінець вимагала б проходу по всьому ланцюжку (O(λ)). Вставка на початок — O(1): просто змінюємо покажчик ",[5364,8862,6661],{}," нового вузла на стару голову, а голову бакета — на новий вузол.",[5503,8865,8867],{"alt":8866},"Вставка елемента з колізією",[5507,8868,8870],{"className":5509,"code":8869,"language":5511,"meta":5512,"style":5512},"@startuml\nskinparam style plain\nskinparam backgroundColor #FFFFFF\n\ntitle Вставка \"dog\" → \"собака\" (індекс 3)\n\nrectangle \"До вставки\" as before #F1F5F9 {\n    rectangle \"Бакет 3\" as b3_before #DBEAFE\n    circle \"\\\"cat\\\" → \\\"кіт\\\"\" as cat_before #DCFCE7\n    label \"nullptr\" as null_before\n    b3_before -down-> cat_before\n    cat_before -down-> null_before\n}\n\nrectangle \"Після вставки\" as after #F1F5F9 {\n    rectangle \"Бакет 3\" as b3_after #DBEAFE\n    circle \"\\\"dog\\\" → \\\"собака\\\"\" as dog_after #FEF3C7\n    circle \"\\\"cat\\\" → \\\"кіт\\\"\" as cat_after #DCFCE7\n    label \"nullptr\" as null_after\n    b3_after -down-> dog_after\n    dog_after -down-> cat_after\n    cat_after -down-> null_after\n}\n\nnote right of dog_after #FEF3C7\n  Новий вузол додається\n  на **початок** списку\n  (O(1) операція)\nend note\n\nbefore -[hidden]right-> after\n\n@enduml\n",[5364,8871,8872,8876,8880,8884,8888,8893,8897,8902,8907,8912,8917,8922,8927,8931,8935,8940,8945,8950,8955,8960,8965,8970,8975,8979,8983,8988,8993,8998,9003,9007,9011,9016,9020],{"__ignoreMap":5512},[5516,8873,8874],{"class":5518,"line":5519},[5516,8875,5522],{},[5516,8877,8878],{"class":5518,"line":5525},[5516,8879,5528],{},[5516,8881,8882],{"class":5518,"line":5531},[5516,8883,5534],{},[5516,8885,8886],{"class":5518,"line":5537},[5516,8887,5541],{"emptyLinePlaceholder":5540},[5516,8889,8890],{"class":5518,"line":5544},[5516,8891,8892],{},"title Вставка \"dog\" → \"собака\" (індекс 3)\n",[5516,8894,8895],{"class":5518,"line":5550},[5516,8896,5541],{"emptyLinePlaceholder":5540},[5516,8898,8899],{"class":5518,"line":5556},[5516,8900,8901],{},"rectangle \"До вставки\" as before #F1F5F9 {\n",[5516,8903,8904],{"class":5518,"line":5562},[5516,8905,8906],{},"    rectangle \"Бакет 3\" as b3_before #DBEAFE\n",[5516,8908,8909],{"class":5518,"line":5568},[5516,8910,8911],{},"    circle \"\\\"cat\\\" → \\\"кіт\\\"\" as cat_before #DCFCE7\n",[5516,8913,8914],{"class":5518,"line":5574},[5516,8915,8916],{},"    label \"nullptr\" as null_before\n",[5516,8918,8919],{"class":5518,"line":5580},[5516,8920,8921],{},"    b3_before -down-> cat_before\n",[5516,8923,8924],{"class":5518,"line":5586},[5516,8925,8926],{},"    cat_before -down-> null_before\n",[5516,8928,8929],{"class":5518,"line":5592},[5516,8930,5601],{},[5516,8932,8933],{"class":5518,"line":5598},[5516,8934,5541],{"emptyLinePlaceholder":5540},[5516,8936,8937],{"class":5518,"line":5604},[5516,8938,8939],{},"rectangle \"Після вставки\" as after #F1F5F9 {\n",[5516,8941,8942],{"class":5518,"line":5609},[5516,8943,8944],{},"    rectangle \"Бакет 3\" as b3_after #DBEAFE\n",[5516,8946,8947],{"class":5518,"line":5615},[5516,8948,8949],{},"    circle \"\\\"dog\\\" → \\\"собака\\\"\" as dog_after #FEF3C7\n",[5516,8951,8952],{"class":5518,"line":5621},[5516,8953,8954],{},"    circle \"\\\"cat\\\" → \\\"кіт\\\"\" as cat_after #DCFCE7\n",[5516,8956,8957],{"class":5518,"line":5627},[5516,8958,8959],{},"    label \"nullptr\" as null_after\n",[5516,8961,8962],{"class":5518,"line":5632},[5516,8963,8964],{},"    b3_after -down-> dog_after\n",[5516,8966,8967],{"class":5518,"line":5638},[5516,8968,8969],{},"    dog_after -down-> cat_after\n",[5516,8971,8972],{"class":5518,"line":5644},[5516,8973,8974],{},"    cat_after -down-> null_after\n",[5516,8976,8977],{"class":5518,"line":5650},[5516,8978,5601],{},[5516,8980,8981],{"class":5518,"line":5656},[5516,8982,5541],{"emptyLinePlaceholder":5540},[5516,8984,8985],{"class":5518,"line":5662},[5516,8986,8987],{},"note right of dog_after #FEF3C7\n",[5516,8989,8990],{"class":5518,"line":5667},[5516,8991,8992],{},"  Новий вузол додається\n",[5516,8994,8995],{"class":5518,"line":5673},[5516,8996,8997],{},"  на **початок** списку\n",[5516,8999,9000],{"class":5518,"line":5679},[5516,9001,9002],{},"  (O(1) операція)\n",[5516,9004,9005],{"class":5518,"line":5685},[5516,9006,5659],{},[5516,9008,9009],{"class":5518,"line":5690},[5516,9010,5541],{"emptyLinePlaceholder":5540},[5516,9012,9013],{"class":5518,"line":5695},[5516,9014,9015],{},"before -[hidden]right-> after\n",[5516,9017,9018],{"class":5518,"line":6996},[5516,9019,5541],{"emptyLinePlaceholder":5540},[5516,9021,9022],{"class":5518,"line":7017},[5516,9023,5698],{},[5383,9025,9026],{},[5271,9027,9028],{},"Складність:",[5264,9030,9031,9039],{},[5267,9032,9033,9035,9036,9038],{},[5271,9034,6460],{}," O(1) — обчислення хешу O(1), вставка на початок O(1), ",[5364,9037,6505],{}," виконується рідко (амортизована O(1)).",[5267,9040,9041,9044],{},[5271,9042,9043],{},"Гірший випадок:"," O(n) — всі ключі потрапили в один бакет (погана хеш-функція або навмисна атака). Тоді пошук у списку — O(n).",[5375,9046],{},[5378,9048,9050],{"id":9049},"операція-пошуку-знаходження-значення-за-ключем","Операція пошуку: знаходження значення за ключем",[5770,9052,9054],{"id":9053},"алгоритм-пошуку","Алгоритм пошуку",[5728,9056,9057,9061],{},[5267,9058,8350,9059,6211],{},[5364,9060,8353],{},[5267,9062,9063,9064],{},"Пройтись по ланцюжку бакета, порівнюючи ключі:\n",[5264,9065,9066,9069],{},[5267,9067,9068],{},"Якщо знайдено співпадіння → повернути покажчик на значення.",[5267,9070,9071,9072,9074,9075,6211],{},"Якщо дійшли до ",[5364,9073,6666],{}," → ключ не знайдено, повернути ",[5364,9076,6666],{},[5507,9078,9080],{"className":5796,"code":9079,"language":5798,"meta":5512,"style":5512},"template \u003Ctypename K, typename V>\nV* HashTable\u003CK, V>::find(const K& key)\n{\n    size_t index = getBucketIndex(key);\n    HashNode\u003CK, V>* current = buckets[index];\n    \n    \u002F\u002F Проходимо по ланцюжку бакета\n    while (current != nullptr)\n    {\n        if (current->key == key)\n        {\n            return &current->value;  \u002F\u002F Знайдено → повертаємо покажчик на значення\n        }\n        current = current->next;\n    }\n    \n    return nullptr;  \u002F\u002F Не знайдено\n}\n\n\u002F\u002F Константна версія для константних об'єктів HashTable\ntemplate \u003Ctypename K, typename V>\nconst V* HashTable\u003CK, V>::find(const K& key) const\n{\n    size_t index = getBucketIndex(key);\n    HashNode\u003CK, V>* current = buckets[index];\n    \n    while (current != nullptr)\n    {\n        if (current->key == key)\n        {\n            return &current->value;\n        }\n        current = current->next;\n    }\n    \n    return nullptr;\n}\n",[5364,9081,9082,9100,9133,9137,9153,9181,9185,9190,9204,9208,9226,9230,9248,9252,9266,9270,9274,9286,9290,9294,9299,9317,9353,9357,9373,9401,9405,9419,9423,9441,9445,9459,9463,9477,9481,9485,9493],{"__ignoreMap":5512},[5516,9083,9084,9086,9088,9090,9092,9094,9096,9098],{"class":5518,"line":5519},[5516,9085,6529],{"class":5805},[5516,9087,6532],{"class":5813},[5516,9089,6535],{"class":5805},[5516,9091,6538],{"class":5820},[5516,9093,6541],{"class":5813},[5516,9095,6535],{"class":5805},[5516,9097,6546],{"class":5820},[5516,9099,6549],{"class":5813},[5516,9101,9102,9104,9106,9108,9110,9112,9114,9116,9118,9121,9123,9125,9127,9129,9131],{"class":5518,"line":5525},[5516,9103,6949],{"class":5820},[5516,9105,6594],{"class":5805},[5516,9107,7142],{"class":5820},[5516,9109,6076],{"class":5813},[5516,9111,6944],{"class":5820},[5516,9113,6541],{"class":5813},[5516,9115,6949],{"class":5820},[5516,9117,7628],{"class":5813},[5516,9119,9120],{"class":5809},"find",[5516,9122,5814],{"class":5813},[5516,9124,5817],{"class":5805},[5516,9126,6538],{"class":5820},[5516,9128,5830],{"class":5805},[5516,9130,5834],{"class":5833},[5516,9132,5974],{"class":5813},[5516,9134,9135],{"class":5518,"line":5531},[5516,9136,5979],{"class":5813},[5516,9138,9139,9141,9143,9145,9147,9149,9151],{"class":5518,"line":5537},[5516,9140,5984],{"class":5805},[5516,9142,6179],{"class":5833},[5516,9144,5989],{"class":5813},[5516,9146,8254],{"class":5809},[5516,9148,5814],{"class":5813},[5516,9150,6044],{"class":5833},[5516,9152,5837],{"class":5813},[5516,9154,9155,9157,9159,9161,9163,9165,9167,9169,9171,9173,9175,9177,9179],{"class":5518,"line":5544},[5516,9156,6591],{"class":5820},[5516,9158,6076],{"class":5813},[5516,9160,6944],{"class":5820},[5516,9162,6541],{"class":5813},[5516,9164,6949],{"class":5820},[5516,9166,7109],{"class":5813},[5516,9168,6594],{"class":5805},[5516,9170,8507],{"class":5833},[5516,9172,5989],{"class":5813},[5516,9174,6955],{"class":5833},[5516,9176,7851],{"class":5813},[5516,9178,6206],{"class":5833},[5516,9180,8518],{"class":5813},[5516,9182,9183],{"class":5518,"line":5550},[5516,9184,6024],{"class":5813},[5516,9186,9187],{"class":5518,"line":5556},[5516,9188,9189],{"class":6018},"    \u002F\u002F Проходимо по ланцюжку бакета\n",[5516,9191,9192,9194,9196,9198,9200,9202],{"class":5518,"line":5562},[5516,9193,8523],{"class":6029},[5516,9195,5289],{"class":5813},[5516,9197,8528],{"class":5833},[5516,9199,8531],{"class":5813},[5516,9201,6666],{"class":5805},[5516,9203,5974],{"class":5813},[5516,9205,9206],{"class":5518,"line":5568},[5516,9207,6051],{"class":5813},[5516,9209,9210,9212,9214,9216,9218,9220,9222,9224],{"class":5518,"line":5574},[5516,9211,8544],{"class":6029},[5516,9213,5289],{"class":5813},[5516,9215,8528],{"class":5833},[5516,9217,7989],{"class":5813},[5516,9219,6044],{"class":5833},[5516,9221,7697],{"class":5813},[5516,9223,6044],{"class":5833},[5516,9225,5974],{"class":5813},[5516,9227,9228],{"class":5518,"line":5580},[5516,9229,8563],{"class":5813},[5516,9231,9232,9234,9237,9239,9241,9243,9245],{"class":5518,"line":5586},[5516,9233,8588],{"class":6029},[5516,9235,9236],{"class":5813}," &",[5516,9238,8528],{"class":5833},[5516,9240,7989],{"class":5813},[5516,9242,6651],{"class":5833},[5516,9244,6015],{"class":5813},[5516,9246,9247],{"class":6018},"  \u002F\u002F Знайдено → повертаємо покажчик на значення\n",[5516,9249,9250],{"class":5518,"line":5592},[5516,9251,8598],{"class":5813},[5516,9253,9254,9256,9258,9260,9262,9264],{"class":5518,"line":5598},[5516,9255,8603],{"class":5833},[5516,9257,5989],{"class":5813},[5516,9259,8528],{"class":5833},[5516,9261,7989],{"class":5813},[5516,9263,6661],{"class":5833},[5516,9265,5996],{"class":5813},[5516,9267,9268],{"class":5518,"line":5604},[5516,9269,6091],{"class":5813},[5516,9271,9272],{"class":5518,"line":5609},[5516,9273,6024],{"class":5813},[5516,9275,9276,9278,9281,9283],{"class":5518,"line":5615},[5516,9277,6100],{"class":6029},[5516,9279,9280],{"class":5805}," nullptr",[5516,9282,6015],{"class":5813},[5516,9284,9285],{"class":6018},"  \u002F\u002F Не знайдено\n",[5516,9287,9288],{"class":5518,"line":5621},[5516,9289,5601],{"class":5813},[5516,9291,9292],{"class":5518,"line":5627},[5516,9293,5541],{"emptyLinePlaceholder":5540},[5516,9295,9296],{"class":5518,"line":5632},[5516,9297,9298],{"class":6018},"\u002F\u002F Константна версія для константних об'єктів HashTable\n",[5516,9300,9301,9303,9305,9307,9309,9311,9313,9315],{"class":5518,"line":5638},[5516,9302,6529],{"class":5805},[5516,9304,6532],{"class":5813},[5516,9306,6535],{"class":5805},[5516,9308,6538],{"class":5820},[5516,9310,6541],{"class":5813},[5516,9312,6535],{"class":5805},[5516,9314,6546],{"class":5820},[5516,9316,6549],{"class":5813},[5516,9318,9319,9321,9323,9325,9327,9329,9331,9333,9335,9337,9339,9341,9343,9345,9347,9349,9351],{"class":5518,"line":5644},[5516,9320,5817],{"class":5805},[5516,9322,6546],{"class":5820},[5516,9324,6594],{"class":5805},[5516,9326,7142],{"class":5820},[5516,9328,6076],{"class":5813},[5516,9330,6944],{"class":5820},[5516,9332,6541],{"class":5813},[5516,9334,6949],{"class":5820},[5516,9336,7628],{"class":5813},[5516,9338,9120],{"class":5809},[5516,9340,5814],{"class":5813},[5516,9342,5817],{"class":5805},[5516,9344,6538],{"class":5820},[5516,9346,5830],{"class":5805},[5516,9348,5834],{"class":5833},[5516,9350,7046],{"class":5813},[5516,9352,8108],{"class":5805},[5516,9354,9355],{"class":5518,"line":5650},[5516,9356,5979],{"class":5813},[5516,9358,9359,9361,9363,9365,9367,9369,9371],{"class":5518,"line":5656},[5516,9360,5984],{"class":5805},[5516,9362,6179],{"class":5833},[5516,9364,5989],{"class":5813},[5516,9366,8254],{"class":5809},[5516,9368,5814],{"class":5813},[5516,9370,6044],{"class":5833},[5516,9372,5837],{"class":5813},[5516,9374,9375,9377,9379,9381,9383,9385,9387,9389,9391,9393,9395,9397,9399],{"class":5518,"line":5662},[5516,9376,6591],{"class":5820},[5516,9378,6076],{"class":5813},[5516,9380,6944],{"class":5820},[5516,9382,6541],{"class":5813},[5516,9384,6949],{"class":5820},[5516,9386,7109],{"class":5813},[5516,9388,6594],{"class":5805},[5516,9390,8507],{"class":5833},[5516,9392,5989],{"class":5813},[5516,9394,6955],{"class":5833},[5516,9396,7851],{"class":5813},[5516,9398,6206],{"class":5833},[5516,9400,8518],{"class":5813},[5516,9402,9403],{"class":5518,"line":5667},[5516,9404,6024],{"class":5813},[5516,9406,9407,9409,9411,9413,9415,9417],{"class":5518,"line":5673},[5516,9408,8523],{"class":6029},[5516,9410,5289],{"class":5813},[5516,9412,8528],{"class":5833},[5516,9414,8531],{"class":5813},[5516,9416,6666],{"class":5805},[5516,9418,5974],{"class":5813},[5516,9420,9421],{"class":5518,"line":5679},[5516,9422,6051],{"class":5813},[5516,9424,9425,9427,9429,9431,9433,9435,9437,9439],{"class":5518,"line":5685},[5516,9426,8544],{"class":6029},[5516,9428,5289],{"class":5813},[5516,9430,8528],{"class":5833},[5516,9432,7989],{"class":5813},[5516,9434,6044],{"class":5833},[5516,9436,7697],{"class":5813},[5516,9438,6044],{"class":5833},[5516,9440,5974],{"class":5813},[5516,9442,9443],{"class":5518,"line":5690},[5516,9444,8563],{"class":5813},[5516,9446,9447,9449,9451,9453,9455,9457],{"class":5518,"line":5695},[5516,9448,8588],{"class":6029},[5516,9450,9236],{"class":5813},[5516,9452,8528],{"class":5833},[5516,9454,7989],{"class":5813},[5516,9456,6651],{"class":5833},[5516,9458,5996],{"class":5813},[5516,9460,9461],{"class":5518,"line":6996},[5516,9462,8598],{"class":5813},[5516,9464,9465,9467,9469,9471,9473,9475],{"class":5518,"line":7017},[5516,9466,8603],{"class":5833},[5516,9468,5989],{"class":5813},[5516,9470,8528],{"class":5833},[5516,9472,7989],{"class":5813},[5516,9474,6661],{"class":5833},[5516,9476,5996],{"class":5813},[5516,9478,9479],{"class":5518,"line":7022},[5516,9480,6091],{"class":5813},[5516,9482,9483],{"class":5518,"line":7028},[5516,9484,6024],{"class":5813},[5516,9486,9487,9489,9491],{"class":5518,"line":7053},[5516,9488,6100],{"class":6029},[5516,9490,9280],{"class":5805},[5516,9492,5996],{"class":5813},[5516,9494,9495],{"class":5518,"line":7077},[5516,9496,5601],{"class":5813},[5383,9498,9499,9502,9503,9505,9506,9509,9510,5501],{},[5271,9500,9501],{},"Чому повертаємо покажчик, а не копію?"," Якщо ключ не знайдено, не можемо повернути \"фіктивне\" значення (що якщо ",[5364,9504,6949],{}," не має дефолтного конструктора?). Покажчик дозволяє чітко розрізнити \"знайдено\" (",[5364,9507,9508],{},"!= nullptr",") та \"не знайдено\" (",[5364,9511,9512],{},"== nullptr",[5383,9514,9515],{},[5271,9516,9517],{},"Використання:",[5507,9519,9521],{"className":5796,"code":9520,"language":5798,"meta":5512,"style":5512},"HashTable\u003Cstd::string, std::string> dict;\ndict.insert(\"cat\", \"кіт\");\n\nstd::string* translation = dict.find(\"cat\");\nif (translation != nullptr)\n{\n    std::cout \u003C\u003C \"Переклад: \" \u003C\u003C *translation \u003C\u003C '\\n';  \u002F\u002F Виведе: Переклад: кіт\n}\nelse\n{\n    std::cout \u003C\u003C \"Слово не знайдено\\n\";\n}\n",[5364,9522,9523,9551,9570,9574,9602,9617,9621,9657,9661,9666,9670,9690],{"__ignoreMap":5512},[5516,9524,9525,9527,9529,9531,9533,9535,9537,9539,9541,9543,9546,9549],{"class":5518,"line":5519},[5516,9526,7617],{"class":5833},[5516,9528,6076],{"class":5813},[5516,9530,8072],{"class":5820},[5516,9532,5824],{"class":5813},[5516,9534,5827],{"class":5833},[5516,9536,6541],{"class":5813},[5516,9538,8072],{"class":5820},[5516,9540,5824],{"class":5813},[5516,9542,5827],{"class":5833},[5516,9544,9545],{"class":5813},"> ",[5516,9547,9548],{"class":5833},"dict",[5516,9550,5996],{"class":5813},[5516,9552,9553,9555,9557,9559,9561,9563,9565,9568],{"class":5518,"line":5525},[5516,9554,9548],{"class":5833},[5516,9556,6211],{"class":5813},[5516,9558,8432],{"class":5809},[5516,9560,5814],{"class":5813},[5516,9562,6190],{"class":6189},[5516,9564,6541],{"class":5813},[5516,9566,9567],{"class":6189},"\"кіт\"",[5516,9569,5837],{"class":5813},[5516,9571,9572],{"class":5518,"line":5531},[5516,9573,5541],{"emptyLinePlaceholder":5540},[5516,9575,9576,9578,9580,9582,9585,9588,9590,9592,9594,9596,9598,9600],{"class":5518,"line":5537},[5516,9577,8072],{"class":5820},[5516,9579,5824],{"class":5813},[5516,9581,5827],{"class":5833},[5516,9583,9584],{"class":5813},"* ",[5516,9586,9587],{"class":5833},"translation",[5516,9589,5989],{"class":5813},[5516,9591,9548],{"class":5833},[5516,9593,6211],{"class":5813},[5516,9595,9120],{"class":5809},[5516,9597,5814],{"class":5813},[5516,9599,6190],{"class":6189},[5516,9601,5837],{"class":5813},[5516,9603,9604,9607,9609,9611,9613,9615],{"class":5518,"line":5544},[5516,9605,9606],{"class":6029},"if",[5516,9608,5289],{"class":5813},[5516,9610,9587],{"class":5833},[5516,9612,8531],{"class":5813},[5516,9614,6666],{"class":5805},[5516,9616,5974],{"class":5813},[5516,9618,9619],{"class":5518,"line":5550},[5516,9620,5979],{"class":5813},[5516,9622,9623,9625,9627,9630,9633,9636,9639,9641,9643,9646,9650,9652,9654],{"class":5518,"line":5556},[5516,9624,6929],{"class":5820},[5516,9626,5824],{"class":5813},[5516,9628,9629],{"class":5833},"cout",[5516,9631,9632],{"class":5813}," \u003C\u003C ",[5516,9634,9635],{"class":6189},"\"Переклад: \"",[5516,9637,9638],{"class":5813}," \u003C\u003C *",[5516,9640,9587],{"class":5833},[5516,9642,9632],{"class":5813},[5516,9644,9645],{"class":6189},"'",[5516,9647,9649],{"class":9648},"sjcCO","\\n",[5516,9651,9645],{"class":6189},[5516,9653,6015],{"class":5813},[5516,9655,9656],{"class":6018},"  \u002F\u002F Виведе: Переклад: кіт\n",[5516,9658,9659],{"class":5518,"line":5562},[5516,9660,5601],{"class":5813},[5516,9662,9663],{"class":5518,"line":5568},[5516,9664,9665],{"class":6029},"else\n",[5516,9667,9668],{"class":5518,"line":5574},[5516,9669,5979],{"class":5813},[5516,9671,9672,9674,9676,9678,9680,9683,9685,9688],{"class":5518,"line":5580},[5516,9673,6929],{"class":5820},[5516,9675,5824],{"class":5813},[5516,9677,9629],{"class":5833},[5516,9679,9632],{"class":5813},[5516,9681,9682],{"class":6189},"\"Слово не знайдено",[5516,9684,9649],{"class":9648},[5516,9686,9687],{"class":6189},"\"",[5516,9689,5996],{"class":5813},[5516,9691,9692],{"class":5518,"line":5586},[5516,9693,5601],{"class":5813},[5383,9695,9696,9698],{},[5271,9697,9028],{}," O(1) у середньому (довжина ланцюжка ≈ λ ≈ 1), O(n) у гіршому випадку (всі елементи в одному бакеті).",[5375,9700],{},[5378,9702,9704],{"id":9703},"операція-видалення-вилучення-елемента-зі-списку","Операція видалення: вилучення елемента зі списку",[5770,9706,9708],{"id":9707},"алгоритм-видалення","Алгоритм видалення",[5383,9710,9711],{},"Видалення з хеш-таблиці складніше за вставку, оскільки потрібно:",[5728,9713,9714,9723,9726],{},[5267,9715,9716,9717,9720,9721,5501],{},"Знайти ",[5271,9718,9719],{},"попередній вузол"," у ланцюжку (щоб перенаправити його ",[5364,9722,6661],{},[5267,9724,9725],{},"Видалити знайдений вузол та з'єднати попередній з наступним.",[5267,9727,9728,9729,9732],{},"Обробити спеціальний випадок: видаляємий вузол — ",[5271,9730,9731],{},"голова"," списку.",[5507,9734,9736],{"className":5796,"code":9735,"language":5798,"meta":5512,"style":5512},"template \u003Ctypename K, typename V>\nbool HashTable\u003CK, V>::remove(const K& key)\n{\n    size_t index = getBucketIndex(key);\n    HashNode\u003CK, V>* current = buckets[index];\n    HashNode\u003CK, V>* previous = nullptr;\n    \n    \u002F\u002F Проходимо по ланцюжку, відстежуючи попередній вузол\n    while (current != nullptr)\n    {\n        if (current->key == key)\n        {\n            \u002F\u002F Знайдено вузол для видалення\n            \n            if (previous == nullptr)\n            {\n                \u002F\u002F Випадок 1: Видаляємо голову списку\n                buckets[index] = current->next;\n            }\n            else\n            {\n                \u002F\u002F Випадок 2: Видаляємо вузол всередині\u002Fв кінці списку\n                previous->next = current->next;\n            }\n            \n            delete current;  \u002F\u002F Звільняємо пам'ять\n            --count;         \u002F\u002F Зменшуємо розмір таблиці\n            return true;     \u002F\u002F Успішно видалено\n        }\n        \n        previous = current;\n        current = current->next;\n    }\n    \n    return false;  \u002F\u002F Ключ не знайдено\n}\n",[5364,9737,9738,9756,9788,9792,9808,9836,9861,9865,9870,9884,9888,9906,9910,9915,9920,9936,9941,9946,9965,9970,9975,9979,9984,10003,10007,10011,10023,10035,10047,10051,10056,10067,10081,10085,10089,10101],{"__ignoreMap":5512},[5516,9739,9740,9742,9744,9746,9748,9750,9752,9754],{"class":5518,"line":5519},[5516,9741,6529],{"class":5805},[5516,9743,6532],{"class":5813},[5516,9745,6535],{"class":5805},[5516,9747,6538],{"class":5820},[5516,9749,6541],{"class":5813},[5516,9751,6535],{"class":5805},[5516,9753,6546],{"class":5820},[5516,9755,6549],{"class":5813},[5516,9757,9758,9761,9763,9765,9767,9769,9771,9773,9776,9778,9780,9782,9784,9786],{"class":5518,"line":5525},[5516,9759,9760],{"class":5805},"bool",[5516,9762,7142],{"class":5820},[5516,9764,6076],{"class":5813},[5516,9766,6944],{"class":5820},[5516,9768,6541],{"class":5813},[5516,9770,6949],{"class":5820},[5516,9772,7628],{"class":5813},[5516,9774,9775],{"class":5809},"remove",[5516,9777,5814],{"class":5813},[5516,9779,5817],{"class":5805},[5516,9781,6538],{"class":5820},[5516,9783,5830],{"class":5805},[5516,9785,5834],{"class":5833},[5516,9787,5974],{"class":5813},[5516,9789,9790],{"class":5518,"line":5531},[5516,9791,5979],{"class":5813},[5516,9793,9794,9796,9798,9800,9802,9804,9806],{"class":5518,"line":5537},[5516,9795,5984],{"class":5805},[5516,9797,6179],{"class":5833},[5516,9799,5989],{"class":5813},[5516,9801,8254],{"class":5809},[5516,9803,5814],{"class":5813},[5516,9805,6044],{"class":5833},[5516,9807,5837],{"class":5813},[5516,9809,9810,9812,9814,9816,9818,9820,9822,9824,9826,9828,9830,9832,9834],{"class":5518,"line":5544},[5516,9811,6591],{"class":5820},[5516,9813,6076],{"class":5813},[5516,9815,6944],{"class":5820},[5516,9817,6541],{"class":5813},[5516,9819,6949],{"class":5820},[5516,9821,7109],{"class":5813},[5516,9823,6594],{"class":5805},[5516,9825,8507],{"class":5833},[5516,9827,5989],{"class":5813},[5516,9829,6955],{"class":5833},[5516,9831,7851],{"class":5813},[5516,9833,6206],{"class":5833},[5516,9835,8518],{"class":5813},[5516,9837,9838,9840,9842,9844,9846,9848,9850,9852,9855,9857,9859],{"class":5518,"line":5550},[5516,9839,6591],{"class":5820},[5516,9841,6076],{"class":5813},[5516,9843,6944],{"class":5820},[5516,9845,6541],{"class":5813},[5516,9847,6949],{"class":5820},[5516,9849,7109],{"class":5813},[5516,9851,6594],{"class":5805},[5516,9853,9854],{"class":5833}," previous",[5516,9856,5989],{"class":5813},[5516,9858,6666],{"class":5805},[5516,9860,5996],{"class":5813},[5516,9862,9863],{"class":5518,"line":5556},[5516,9864,6024],{"class":5813},[5516,9866,9867],{"class":5518,"line":5562},[5516,9868,9869],{"class":6018},"    \u002F\u002F Проходимо по ланцюжку, відстежуючи попередній вузол\n",[5516,9871,9872,9874,9876,9878,9880,9882],{"class":5518,"line":5568},[5516,9873,8523],{"class":6029},[5516,9875,5289],{"class":5813},[5516,9877,8528],{"class":5833},[5516,9879,8531],{"class":5813},[5516,9881,6666],{"class":5805},[5516,9883,5974],{"class":5813},[5516,9885,9886],{"class":5518,"line":5574},[5516,9887,6051],{"class":5813},[5516,9889,9890,9892,9894,9896,9898,9900,9902,9904],{"class":5518,"line":5580},[5516,9891,8544],{"class":6029},[5516,9893,5289],{"class":5813},[5516,9895,8528],{"class":5833},[5516,9897,7989],{"class":5813},[5516,9899,6044],{"class":5833},[5516,9901,7697],{"class":5813},[5516,9903,6044],{"class":5833},[5516,9905,5974],{"class":5813},[5516,9907,9908],{"class":5518,"line":5586},[5516,9909,8563],{"class":5813},[5516,9911,9912],{"class":5518,"line":5592},[5516,9913,9914],{"class":6018},"            \u002F\u002F Знайдено вузол для видалення\n",[5516,9916,9917],{"class":5518,"line":5598},[5516,9918,9919],{"class":5813},"            \n",[5516,9921,9922,9925,9927,9930,9932,9934],{"class":5518,"line":5604},[5516,9923,9924],{"class":6029},"            if",[5516,9926,5289],{"class":5813},[5516,9928,9929],{"class":5833},"previous",[5516,9931,7697],{"class":5813},[5516,9933,6666],{"class":5805},[5516,9935,5974],{"class":5813},[5516,9937,9938],{"class":5518,"line":5609},[5516,9939,9940],{"class":5813},"            {\n",[5516,9942,9943],{"class":5518,"line":5615},[5516,9944,9945],{"class":6018},"                \u002F\u002F Випадок 1: Видаляємо голову списку\n",[5516,9947,9948,9951,9953,9955,9957,9959,9961,9963],{"class":5518,"line":5621},[5516,9949,9950],{"class":5833},"                buckets",[5516,9952,7851],{"class":5813},[5516,9954,6206],{"class":5833},[5516,9956,8711],{"class":5813},[5516,9958,8528],{"class":5833},[5516,9960,7989],{"class":5813},[5516,9962,6661],{"class":5833},[5516,9964,5996],{"class":5813},[5516,9966,9967],{"class":5518,"line":5627},[5516,9968,9969],{"class":5813},"            }\n",[5516,9971,9972],{"class":5518,"line":5632},[5516,9973,9974],{"class":6029},"            else\n",[5516,9976,9977],{"class":5518,"line":5638},[5516,9978,9940],{"class":5813},[5516,9980,9981],{"class":5518,"line":5644},[5516,9982,9983],{"class":6018},"                \u002F\u002F Випадок 2: Видаляємо вузол всередині\u002Fв кінці списку\n",[5516,9985,9986,9989,9991,9993,9995,9997,9999,10001],{"class":5518,"line":5650},[5516,9987,9988],{"class":5833},"                previous",[5516,9990,7989],{"class":5813},[5516,9992,6661],{"class":5833},[5516,9994,5989],{"class":5813},[5516,9996,8528],{"class":5833},[5516,9998,7989],{"class":5813},[5516,10000,6661],{"class":5833},[5516,10002,5996],{"class":5813},[5516,10004,10005],{"class":5518,"line":5656},[5516,10006,9969],{"class":5813},[5516,10008,10009],{"class":5518,"line":5662},[5516,10010,9919],{"class":5813},[5516,10012,10013,10016,10018,10020],{"class":5518,"line":5667},[5516,10014,10015],{"class":6029},"            delete",[5516,10017,8507],{"class":5833},[5516,10019,6015],{"class":5813},[5516,10021,10022],{"class":6018},"  \u002F\u002F Звільняємо пам'ять\n",[5516,10024,10025,10028,10030,10032],{"class":5518,"line":5673},[5516,10026,10027],{"class":5813},"            --",[5516,10029,7543],{"class":5833},[5516,10031,6015],{"class":5813},[5516,10033,10034],{"class":6018},"         \u002F\u002F Зменшуємо розмір таблиці\n",[5516,10036,10037,10039,10042,10044],{"class":5518,"line":5679},[5516,10038,8588],{"class":6029},[5516,10040,10041],{"class":5805}," true",[5516,10043,6015],{"class":5813},[5516,10045,10046],{"class":6018},"     \u002F\u002F Успішно видалено\n",[5516,10048,10049],{"class":5518,"line":5685},[5516,10050,8598],{"class":5813},[5516,10052,10053],{"class":5518,"line":5690},[5516,10054,10055],{"class":5813},"        \n",[5516,10057,10058,10061,10063,10065],{"class":5518,"line":5695},[5516,10059,10060],{"class":5833},"        previous",[5516,10062,5989],{"class":5813},[5516,10064,8528],{"class":5833},[5516,10066,5996],{"class":5813},[5516,10068,10069,10071,10073,10075,10077,10079],{"class":5518,"line":6996},[5516,10070,8603],{"class":5833},[5516,10072,5989],{"class":5813},[5516,10074,8528],{"class":5833},[5516,10076,7989],{"class":5813},[5516,10078,6661],{"class":5833},[5516,10080,5996],{"class":5813},[5516,10082,10083],{"class":5518,"line":7017},[5516,10084,6091],{"class":5813},[5516,10086,10087],{"class":5518,"line":7022},[5516,10088,6024],{"class":5813},[5516,10090,10091,10093,10096,10098],{"class":5518,"line":7028},[5516,10092,6100],{"class":6029},[5516,10094,10095],{"class":5805}," false",[5516,10097,6015],{"class":5813},[5516,10099,10100],{"class":6018},"  \u002F\u002F Ключ не знайдено\n",[5516,10102,10103],{"class":5518,"line":7053},[5516,10104,5601],{"class":5813},[5383,10106,10107],{},[5271,10108,10109],{},"Два випадки:",[5728,10111,10112,10124],{},[5267,10113,10114,7520,10117,10120,10121,6211],{},[5271,10115,10116],{},"Видалення голови:",[5364,10118,10119],{},"previous == nullptr"," → перенаправляємо покажчик бакета на ",[5364,10122,10123],{},"current->next",[5267,10125,10126,7520,10129,10132],{},[5271,10127,10128],{},"Видалення з середини\u002Fкінця:",[5364,10130,10131],{},"previous->next = current->next"," → \"перескакуємо\" через видаляємий вузол.",[5503,10134,10136],{"alt":10135},"Видалення елемента з ланцюжка",[5507,10137,10139],{"className":5509,"code":10138,"language":5511,"meta":5512,"style":5512},"@startuml\nskinparam style plain\nskinparam backgroundColor #FFFFFF\n\ntitle Видалення \"cat\" з бакета 3\n\nrectangle \"До видалення\" as before #F1F5F9 {\n    rectangle \"Бакет 3\" as b3_before #DBEAFE\n    circle \"\\\"dog\\\"\" as dog_before #DCFCE7\n    circle \"\\\"cat\\\"\" as cat_before #FEF3C7\n    circle \"\\\"mouse\\\"\" as mouse_before #E2E8F0\n    b3_before -down-> dog_before\n    dog_before -down-> cat_before\n    cat_before -down-> mouse_before\n    mouse_before -down-> \" nullptr\"\n}\n\nrectangle \"Після видалення\" as after #F1F5F9 {\n    rectangle \"Бакет 3\" as b3_after #DBEAFE\n    circle \"\\\"dog\\\"\" as dog_after #DCFCE7\n    circle \"\\\"mouse\\\"\" as mouse_after #E2E8F0\n    b3_after -down-> dog_after\n    dog_after -down-> mouse_after\n    mouse_after -down-> \" nullptr\"\n}\n\nnote right of cat_before #FEF3C7\n  previous->next = cat->next\n  Вузол \"cat\" видаляється\n  delete cat;\nend note\n\nbefore -[hidden]right-> after\n\n@enduml\n",[5364,10140,10141,10145,10149,10153,10157,10162,10166,10171,10175,10180,10185,10190,10195,10200,10205,10210,10214,10218,10223,10227,10232,10237,10241,10246,10251,10255,10259,10264,10269,10274,10279,10283,10287,10291,10295],{"__ignoreMap":5512},[5516,10142,10143],{"class":5518,"line":5519},[5516,10144,5522],{},[5516,10146,10147],{"class":5518,"line":5525},[5516,10148,5528],{},[5516,10150,10151],{"class":5518,"line":5531},[5516,10152,5534],{},[5516,10154,10155],{"class":5518,"line":5537},[5516,10156,5541],{"emptyLinePlaceholder":5540},[5516,10158,10159],{"class":5518,"line":5544},[5516,10160,10161],{},"title Видалення \"cat\" з бакета 3\n",[5516,10163,10164],{"class":5518,"line":5550},[5516,10165,5541],{"emptyLinePlaceholder":5540},[5516,10167,10168],{"class":5518,"line":5556},[5516,10169,10170],{},"rectangle \"До видалення\" as before #F1F5F9 {\n",[5516,10172,10173],{"class":5518,"line":5562},[5516,10174,8906],{},[5516,10176,10177],{"class":5518,"line":5568},[5516,10178,10179],{},"    circle \"\\\"dog\\\"\" as dog_before #DCFCE7\n",[5516,10181,10182],{"class":5518,"line":5574},[5516,10183,10184],{},"    circle \"\\\"cat\\\"\" as cat_before #FEF3C7\n",[5516,10186,10187],{"class":5518,"line":5580},[5516,10188,10189],{},"    circle \"\\\"mouse\\\"\" as mouse_before #E2E8F0\n",[5516,10191,10192],{"class":5518,"line":5586},[5516,10193,10194],{},"    b3_before -down-> dog_before\n",[5516,10196,10197],{"class":5518,"line":5592},[5516,10198,10199],{},"    dog_before -down-> cat_before\n",[5516,10201,10202],{"class":5518,"line":5598},[5516,10203,10204],{},"    cat_before -down-> mouse_before\n",[5516,10206,10207],{"class":5518,"line":5604},[5516,10208,10209],{},"    mouse_before -down-> \" nullptr\"\n",[5516,10211,10212],{"class":5518,"line":5609},[5516,10213,5601],{},[5516,10215,10216],{"class":5518,"line":5615},[5516,10217,5541],{"emptyLinePlaceholder":5540},[5516,10219,10220],{"class":5518,"line":5621},[5516,10221,10222],{},"rectangle \"Після видалення\" as after #F1F5F9 {\n",[5516,10224,10225],{"class":5518,"line":5627},[5516,10226,8944],{},[5516,10228,10229],{"class":5518,"line":5632},[5516,10230,10231],{},"    circle \"\\\"dog\\\"\" as dog_after #DCFCE7\n",[5516,10233,10234],{"class":5518,"line":5638},[5516,10235,10236],{},"    circle \"\\\"mouse\\\"\" as mouse_after #E2E8F0\n",[5516,10238,10239],{"class":5518,"line":5644},[5516,10240,8964],{},[5516,10242,10243],{"class":5518,"line":5650},[5516,10244,10245],{},"    dog_after -down-> mouse_after\n",[5516,10247,10248],{"class":5518,"line":5656},[5516,10249,10250],{},"    mouse_after -down-> \" nullptr\"\n",[5516,10252,10253],{"class":5518,"line":5662},[5516,10254,5601],{},[5516,10256,10257],{"class":5518,"line":5667},[5516,10258,5541],{"emptyLinePlaceholder":5540},[5516,10260,10261],{"class":5518,"line":5673},[5516,10262,10263],{},"note right of cat_before #FEF3C7\n",[5516,10265,10266],{"class":5518,"line":5679},[5516,10267,10268],{},"  previous->next = cat->next\n",[5516,10270,10271],{"class":5518,"line":5685},[5516,10272,10273],{},"  Вузол \"cat\" видаляється\n",[5516,10275,10276],{"class":5518,"line":5690},[5516,10277,10278],{},"  delete cat;\n",[5516,10280,10281],{"class":5518,"line":5695},[5516,10282,5659],{},[5516,10284,10285],{"class":5518,"line":6996},[5516,10286,5541],{"emptyLinePlaceholder":5540},[5516,10288,10289],{"class":5518,"line":7017},[5516,10290,9015],{},[5516,10292,10293],{"class":5518,"line":7022},[5516,10294,5541],{"emptyLinePlaceholder":5540},[5516,10296,10297],{"class":5518,"line":7028},[5516,10298,5698],{},[5383,10300,10301,10303],{},[5271,10302,9028],{}," O(1) у середньому (λ ≈ 1), O(n) у гіршому випадку (довгий ланцюжок).",[5375,10305],{},[5378,10307,10309],{"id":10308},"динамічне-збільшення-розміру-операція-rehash","Динамічне збільшення розміру: операція rehash",[5770,10311,10313],{"id":10312},"коли-потрібен-rehash","Коли потрібен rehash?",[5383,10315,10316,10317,10319,10320,10323],{},"Коефіцієнт завантаження ",[5364,10318,5366],{}," показує ",[5271,10321,10322],{},"середню довжину ланцюжків"," у бакетах. Якщо λ зростає (багато елементів на малу кількість бакетів), списки стають довгими, операції сповільнюються.",[5383,10325,10326,10329,10330,10333,10334,6541,10337,10339],{},[5271,10327,10328],{},"Поріг:"," Зазвичай обирають ",[5271,10331,10332],{},"λ = 0.75",". Коли кількість елементів перевищує ",[5364,10335,10336],{},"0.75 * capacity",[5271,10338,6498],{}," кількість бакетів.",[5770,10341,10343],{"id":10342},"алгоритм-rehash","Алгоритм rehash",[5728,10345,10346,10356,10378],{},[5267,10347,10348,10349,10352,10353,6211],{},"Створити ",[5271,10350,10351],{},"новий масив бакетів"," із розміром ",[5364,10354,10355],{},"2 * bucketCount",[5267,10357,10358,10359,10362,10363],{},"Пройтись по всіх ",[5271,10360,10361],{},"старих"," бакетах:\n",[5264,10364,10365,10375],{},[5267,10366,10367,10368,10371,10372,5501],{},"Для кожного вузла обчислити ",[5271,10369,10370],{},"новий індекс"," (хеш той же, але модуль інший: ",[5364,10373,10374],{},"hash % (2 * M)",[5267,10376,10377],{},"Перемістити вузол у новий бакет.",[5267,10379,10380],{},"Замінити старий масив на новий.",[5507,10382,10384],{"className":5796,"code":10383,"language":5798,"meta":5512,"style":5512},"template \u003Ctypename K, typename V>\nvoid HashTable\u003CK, V>::rehash()\n{\n    size_t newCapacity = bucketCount * 2;\n    std::vector\u003CHashNode\u003CK, V>*> newBuckets(newCapacity, nullptr);\n    \n    \u002F\u002F Проходимо по всіх старих бакетах\n    for (size_t i = 0; i \u003C bucketCount; ++i)\n    {\n        HashNode\u003CK, V>* current = buckets[i];\n        \n        \u002F\u002F Проходимо по ланцюжку поточного бакета\n        while (current != nullptr)\n        {\n            HashNode\u003CK, V>* nextNode = current->next;  \u002F\u002F Зберігаємо next (будемо змінювати)\n            \n            \u002F\u002F Обчислюємо новий індекс для вузла\n            size_t newIndex = hashFunction(current->key) % newCapacity;\n            \n            \u002F\u002F Вставляємо вузол на початок нового бакета\n            current->next = newBuckets[newIndex];\n            newBuckets[newIndex] = current;\n            \n            current = nextNode;  \u002F\u002F Переходимо до наступного у старому ланцюжку\n        }\n    }\n    \n    \u002F\u002F Замінюємо старий масив на новий\n    buckets = std::move(newBuckets);\n    bucketCount = newCapacity;\n}\n",[5364,10385,10386,10404,10424,10428,10446,10482,10486,10491,10519,10523,10552,10556,10561,10576,10580,10613,10617,10622,10648,10652,10657,10676,10691,10695,10709,10713,10717,10721,10726,10745,10756],{"__ignoreMap":5512},[5516,10387,10388,10390,10392,10394,10396,10398,10400,10402],{"class":5518,"line":5519},[5516,10389,6529],{"class":5805},[5516,10391,6532],{"class":5813},[5516,10393,6535],{"class":5805},[5516,10395,6538],{"class":5820},[5516,10397,6541],{"class":5813},[5516,10399,6535],{"class":5805},[5516,10401,6546],{"class":5820},[5516,10403,6549],{"class":5813},[5516,10405,10406,10408,10410,10412,10414,10416,10418,10420,10422],{"class":5518,"line":5525},[5516,10407,7896],{"class":5805},[5516,10409,7142],{"class":5820},[5516,10411,6076],{"class":5813},[5516,10413,6944],{"class":5820},[5516,10415,6541],{"class":5813},[5516,10417,6949],{"class":5820},[5516,10419,7628],{"class":5813},[5516,10421,6505],{"class":5809},[5516,10423,7793],{"class":5813},[5516,10425,10426],{"class":5518,"line":5531},[5516,10427,5979],{"class":5813},[5516,10429,10430,10432,10435,10437,10439,10441,10444],{"class":5518,"line":5537},[5516,10431,5984],{"class":5805},[5516,10433,10434],{"class":5833}," newCapacity",[5516,10436,5989],{"class":5813},[5516,10438,7547],{"class":5833},[5516,10440,6064],{"class":5813},[5516,10442,10443],{"class":5992},"2",[5516,10445,5996],{"class":5813},[5516,10447,10448,10450,10452,10454,10456,10458,10460,10462,10464,10466,10468,10471,10473,10476,10478,10480],{"class":5518,"line":5544},[5516,10449,6929],{"class":5820},[5516,10451,5824],{"class":5813},[5516,10453,6934],{"class":5820},[5516,10455,6076],{"class":5813},[5516,10457,6939],{"class":5820},[5516,10459,6076],{"class":5813},[5516,10461,6944],{"class":5820},[5516,10463,6541],{"class":5813},[5516,10465,6949],{"class":5820},[5516,10467,6952],{"class":5813},[5516,10469,10470],{"class":5809},"newBuckets",[5516,10472,5814],{"class":5813},[5516,10474,10475],{"class":5833},"newCapacity",[5516,10477,6541],{"class":5813},[5516,10479,6666],{"class":5805},[5516,10481,5837],{"class":5813},[5516,10483,10484],{"class":5518,"line":5550},[5516,10485,6024],{"class":5813},[5516,10487,10488],{"class":5518,"line":5556},[5516,10489,10490],{"class":6018},"    \u002F\u002F Проходимо по всіх старих бакетах\n",[5516,10492,10493,10495,10497,10499,10501,10503,10505,10507,10509,10511,10513,10515,10517],{"class":5518,"line":5562},[5516,10494,6030],{"class":6029},[5516,10496,5289],{"class":5813},[5516,10498,5806],{"class":5805},[5516,10500,7813],{"class":5833},[5516,10502,5989],{"class":5813},[5516,10504,5993],{"class":5992},[5516,10506,7820],{"class":5813},[5516,10508,7823],{"class":5833},[5516,10510,7826],{"class":5813},[5516,10512,7547],{"class":5833},[5516,10514,7831],{"class":5813},[5516,10516,7823],{"class":5833},[5516,10518,5974],{"class":5813},[5516,10520,10521],{"class":5518,"line":5568},[5516,10522,6051],{"class":5813},[5516,10524,10525,10528,10530,10532,10534,10536,10538,10540,10542,10544,10546,10548,10550],{"class":5518,"line":5574},[5516,10526,10527],{"class":5820},"        HashNode",[5516,10529,6076],{"class":5813},[5516,10531,6944],{"class":5820},[5516,10533,6541],{"class":5813},[5516,10535,6949],{"class":5820},[5516,10537,7109],{"class":5813},[5516,10539,6594],{"class":5805},[5516,10541,8507],{"class":5833},[5516,10543,5989],{"class":5813},[5516,10545,6955],{"class":5833},[5516,10547,7851],{"class":5813},[5516,10549,7823],{"class":5833},[5516,10551,8518],{"class":5813},[5516,10553,10554],{"class":5518,"line":5580},[5516,10555,10055],{"class":5813},[5516,10557,10558],{"class":5518,"line":5586},[5516,10559,10560],{"class":6018},"        \u002F\u002F Проходимо по ланцюжку поточного бакета\n",[5516,10562,10563,10566,10568,10570,10572,10574],{"class":5518,"line":5592},[5516,10564,10565],{"class":6029},"        while",[5516,10567,5289],{"class":5813},[5516,10569,8528],{"class":5833},[5516,10571,8531],{"class":5813},[5516,10573,6666],{"class":5805},[5516,10575,5974],{"class":5813},[5516,10577,10578],{"class":5518,"line":5598},[5516,10579,8563],{"class":5813},[5516,10581,10582,10585,10587,10589,10591,10593,10595,10597,10600,10602,10604,10606,10608,10610],{"class":5518,"line":5604},[5516,10583,10584],{"class":5820},"            HashNode",[5516,10586,6076],{"class":5813},[5516,10588,6944],{"class":5820},[5516,10590,6541],{"class":5813},[5516,10592,6949],{"class":5820},[5516,10594,7109],{"class":5813},[5516,10596,6594],{"class":5805},[5516,10598,10599],{"class":5833}," nextNode",[5516,10601,5989],{"class":5813},[5516,10603,8528],{"class":5833},[5516,10605,7989],{"class":5813},[5516,10607,6661],{"class":5833},[5516,10609,6015],{"class":5813},[5516,10611,10612],{"class":6018},"  \u002F\u002F Зберігаємо next (будемо змінювати)\n",[5516,10614,10615],{"class":5518,"line":5609},[5516,10616,9919],{"class":5813},[5516,10618,10619],{"class":5518,"line":5615},[5516,10620,10621],{"class":6018},"            \u002F\u002F Обчислюємо новий індекс для вузла\n",[5516,10623,10624,10627,10630,10632,10634,10636,10638,10640,10642,10644,10646],{"class":5518,"line":5621},[5516,10625,10626],{"class":5805},"            size_t",[5516,10628,10629],{"class":5833}," newIndex",[5516,10631,5989],{"class":5813},[5516,10633,8089],{"class":5809},[5516,10635,5814],{"class":5813},[5516,10637,8528],{"class":5833},[5516,10639,7989],{"class":5813},[5516,10641,6044],{"class":5833},[5516,10643,6193],{"class":5813},[5516,10645,10475],{"class":5833},[5516,10647,5996],{"class":5813},[5516,10649,10650],{"class":5518,"line":5627},[5516,10651,9919],{"class":5813},[5516,10653,10654],{"class":5518,"line":5632},[5516,10655,10656],{"class":6018},"            \u002F\u002F Вставляємо вузол на початок нового бакета\n",[5516,10658,10659,10661,10663,10665,10667,10669,10671,10674],{"class":5518,"line":5638},[5516,10660,8573],{"class":5833},[5516,10662,7989],{"class":5813},[5516,10664,6661],{"class":5833},[5516,10666,5989],{"class":5813},[5516,10668,10470],{"class":5833},[5516,10670,7851],{"class":5813},[5516,10672,10673],{"class":5833},"newIndex",[5516,10675,8518],{"class":5813},[5516,10677,10678,10681,10683,10685,10687,10689],{"class":5518,"line":5644},[5516,10679,10680],{"class":5833},"            newBuckets",[5516,10682,7851],{"class":5813},[5516,10684,10673],{"class":5833},[5516,10686,8711],{"class":5813},[5516,10688,8528],{"class":5833},[5516,10690,5996],{"class":5813},[5516,10692,10693],{"class":5518,"line":5650},[5516,10694,9919],{"class":5813},[5516,10696,10697,10699,10701,10704,10706],{"class":5518,"line":5656},[5516,10698,8573],{"class":5833},[5516,10700,5989],{"class":5813},[5516,10702,10703],{"class":5833},"nextNode",[5516,10705,6015],{"class":5813},[5516,10707,10708],{"class":6018},"  \u002F\u002F Переходимо до наступного у старому ланцюжку\n",[5516,10710,10711],{"class":5518,"line":5662},[5516,10712,8598],{"class":5813},[5516,10714,10715],{"class":5518,"line":5667},[5516,10716,6091],{"class":5813},[5516,10718,10719],{"class":5518,"line":5673},[5516,10720,6024],{"class":5813},[5516,10722,10723],{"class":5518,"line":5679},[5516,10724,10725],{"class":6018},"    \u002F\u002F Замінюємо старий масив на новий\n",[5516,10727,10728,10730,10732,10734,10736,10739,10741,10743],{"class":5518,"line":5685},[5516,10729,8704],{"class":5833},[5516,10731,5989],{"class":5813},[5516,10733,8072],{"class":5820},[5516,10735,5824],{"class":5813},[5516,10737,10738],{"class":5809},"move",[5516,10740,5814],{"class":5813},[5516,10742,10470],{"class":5833},[5516,10744,5837],{"class":5813},[5516,10746,10747,10750,10752,10754],{"class":5518,"line":5690},[5516,10748,10749],{"class":5833},"    bucketCount",[5516,10751,5989],{"class":5813},[5516,10753,10475],{"class":5833},[5516,10755,5996],{"class":5813},[5516,10757,10758],{"class":5518,"line":5695},[5516,10759,5601],{"class":5813},[5383,10761,10762,10765,10766,10769],{},[5271,10763,10764],{},"Ключовий момент:"," Ми ",[5271,10767,10768],{},"не створюємо нові вузли"," — перемішуємо існуючі. Це економить пам'ять та час (не потрібно копіювати ключі\u002Fзначення).",[5465,10771,10773,10774,10777,10778,7520,10781,10784,10785,6211],{"title":10772},"Чому індекси змінюються?","Хеш-код ключа ",[5271,10775,10776],{},"не змінюється"," (детермінованість), але індекс ",[5364,10779,10780],{},"hash % M",[5271,10782,10783],{},"залежить від M",". Коли M подвоюється, елемент може переміститися з бакета 3 у бакет 19, якщо ",[5364,10786,10787],{},"hash % (2*M) = 19",[5383,10789,10790,10793,10794,10797,10798,10801],{},[5271,10791,10792],{},"Складність rehash:"," O(N) — потрібно відвідати всі елементи. Але rehash виконується ",[5271,10795,10796],{},"рідко"," (лише коли λ > 0.75), тому ",[5271,10799,10800],{},"амортизована"," складність вставки залишається O(1).",[6213,10803,10805,10806,10809,10810,10813],{"title":10804},"Амортизований аналіз","Якщо вставити N елементів у таблицю, rehash викличеться O(log N) разів (подвоєння: 16 → 32 → 64 → ...). Загальна робота всіх rehash: ",[5364,10807,10808],{},"N + N\u002F2 + N\u002F4 + ... ≈ 2N = O(N)",". Розподілена на N вставок: ",[5271,10811,10812],{},"O(N) \u002F N = O(1)"," на одну вставку.",[5375,10815],{},[5378,10817,10819],{"id":10818},"допоміжні-методи-та-статистика-таблиці","Допоміжні методи та статистика таблиці",[5770,10821,10823],{"id":10822},"базові-геттери","Базові геттери",[5507,10825,10827],{"className":5796,"code":10826,"language":5798,"meta":5512,"style":5512},"template \u003Ctypename K, typename V>\nbool HashTable\u003CK, V>::isEmpty() const\n{\n    return count == 0;\n}\n\ntemplate \u003Ctypename K, typename V>\nsize_t HashTable\u003CK, V>::size() const\n{\n    return count;\n}\n\ntemplate \u003Ctypename K, typename V>\nsize_t HashTable\u003CK, V>::capacity() const\n{\n    return bucketCount;\n}\n",[5364,10828,10829,10847,10870,10874,10886,10890,10894,10912,10935,10939,10947,10951,10955,10973,10995,10999,11007],{"__ignoreMap":5512},[5516,10830,10831,10833,10835,10837,10839,10841,10843,10845],{"class":5518,"line":5519},[5516,10832,6529],{"class":5805},[5516,10834,6532],{"class":5813},[5516,10836,6535],{"class":5805},[5516,10838,6538],{"class":5820},[5516,10840,6541],{"class":5813},[5516,10842,6535],{"class":5805},[5516,10844,6546],{"class":5820},[5516,10846,6549],{"class":5813},[5516,10848,10849,10851,10853,10855,10857,10859,10861,10863,10866,10868],{"class":5518,"line":5525},[5516,10850,9760],{"class":5805},[5516,10852,7142],{"class":5820},[5516,10854,6076],{"class":5813},[5516,10856,6944],{"class":5820},[5516,10858,6541],{"class":5813},[5516,10860,6949],{"class":5820},[5516,10862,7628],{"class":5813},[5516,10864,10865],{"class":5809},"isEmpty",[5516,10867,7387],{"class":5813},[5516,10869,8108],{"class":5805},[5516,10871,10872],{"class":5518,"line":5531},[5516,10873,5979],{"class":5813},[5516,10875,10876,10878,10880,10882,10884],{"class":5518,"line":5537},[5516,10877,6100],{"class":6029},[5516,10879,6967],{"class":5833},[5516,10881,7697],{"class":5813},[5516,10883,5993],{"class":5992},[5516,10885,5996],{"class":5813},[5516,10887,10888],{"class":5518,"line":5544},[5516,10889,5601],{"class":5813},[5516,10891,10892],{"class":5518,"line":5550},[5516,10893,5541],{"emptyLinePlaceholder":5540},[5516,10895,10896,10898,10900,10902,10904,10906,10908,10910],{"class":5518,"line":5556},[5516,10897,6529],{"class":5805},[5516,10899,6532],{"class":5813},[5516,10901,6535],{"class":5805},[5516,10903,6538],{"class":5820},[5516,10905,6541],{"class":5813},[5516,10907,6535],{"class":5805},[5516,10909,6546],{"class":5820},[5516,10911,6549],{"class":5813},[5516,10913,10914,10916,10918,10920,10922,10924,10926,10928,10931,10933],{"class":5518,"line":5562},[5516,10915,5806],{"class":5805},[5516,10917,7142],{"class":5820},[5516,10919,6076],{"class":5813},[5516,10921,6944],{"class":5820},[5516,10923,6541],{"class":5813},[5516,10925,6949],{"class":5820},[5516,10927,7628],{"class":5813},[5516,10929,10930],{"class":5809},"size",[5516,10932,7387],{"class":5813},[5516,10934,8108],{"class":5805},[5516,10936,10937],{"class":5518,"line":5568},[5516,10938,5979],{"class":5813},[5516,10940,10941,10943,10945],{"class":5518,"line":5574},[5516,10942,6100],{"class":6029},[5516,10944,6967],{"class":5833},[5516,10946,5996],{"class":5813},[5516,10948,10949],{"class":5518,"line":5580},[5516,10950,5601],{"class":5813},[5516,10952,10953],{"class":5518,"line":5586},[5516,10954,5541],{"emptyLinePlaceholder":5540},[5516,10956,10957,10959,10961,10963,10965,10967,10969,10971],{"class":5518,"line":5592},[5516,10958,6529],{"class":5805},[5516,10960,6532],{"class":5813},[5516,10962,6535],{"class":5805},[5516,10964,6538],{"class":5820},[5516,10966,6541],{"class":5813},[5516,10968,6535],{"class":5805},[5516,10970,6546],{"class":5820},[5516,10972,6549],{"class":5813},[5516,10974,10975,10977,10979,10981,10983,10985,10987,10989,10991,10993],{"class":5518,"line":5598},[5516,10976,5806],{"class":5805},[5516,10978,7142],{"class":5820},[5516,10980,6076],{"class":5813},[5516,10982,6944],{"class":5820},[5516,10984,6541],{"class":5813},[5516,10986,6949],{"class":5820},[5516,10988,7628],{"class":5813},[5516,10990,7650],{"class":5809},[5516,10992,7387],{"class":5813},[5516,10994,8108],{"class":5805},[5516,10996,10997],{"class":5518,"line":5604},[5516,10998,5979],{"class":5813},[5516,11000,11001,11003,11005],{"class":5518,"line":5609},[5516,11002,6100],{"class":6029},[5516,11004,6979],{"class":5833},[5516,11006,5996],{"class":5813},[5516,11008,11009],{"class":5518,"line":5615},[5516,11010,5601],{"class":5813},[5770,11012,11014],{"id":11013},"статистика-для-діагностики","Статистика для діагностики",[5383,11016,11017],{},"Для розуміння поведінки хеш-таблиці корисно виводити:",[5264,11019,11020,11031,11037],{},[5267,11021,11022,11023,11026,11027,11030],{},"Кількість ",[5271,11024,11025],{},"пустих"," та ",[5271,11028,11029],{},"заповнених"," бакетів.",[5267,11032,11033,11036],{},[5271,11034,11035],{},"Максимальна довжина"," ланцюжка (найгірший випадок пошуку).",[5267,11038,11039,11042],{},[5271,11040,11041],{},"Середня довжина"," ланцюжка (реальна продуктивність).",[5507,11044,11046],{"className":5796,"code":11045,"language":5798,"meta":5512,"style":5512},"template \u003Ctypename K, typename V>\nvoid HashTable\u003CK, V>::printStatistics() const\n{\n    size_t emptyBuckets = 0;\n    size_t maxChainLength = 0;\n    size_t totalChainLength = 0;\n    \n    for (size_t i = 0; i \u003C bucketCount; ++i)\n    {\n        size_t chainLength = 0;\n        HashNode\u003CK, V>* current = buckets[i];\n        \n        while (current != nullptr)\n        {\n            ++chainLength;\n            current = current->next;\n        }\n        \n        if (chainLength == 0)\n        {\n            ++emptyBuckets;\n        }\n        else\n        {\n            totalChainLength += chainLength;\n            maxChainLength = std::max(maxChainLength, chainLength);\n        }\n    }\n    \n    size_t filledBuckets = bucketCount - emptyBuckets;\n    double avgChainLength = (filledBuckets > 0) \n        ? static_cast\u003Cdouble>(totalChainLength) \u002F filledBuckets \n        : 0.0;\n    \n    std::cout \u003C\u003C \"=== Статистика хеш-таблиці ===\\n\";\n    std::cout \u003C\u003C \"Кількість елементів: \" \u003C\u003C count \u003C\u003C '\\n';\n    std::cout \u003C\u003C \"Кількість бакетів: \" \u003C\u003C bucketCount \u003C\u003C '\\n';\n    std::cout \u003C\u003C \"Коефіцієнт завантаження: \" \u003C\u003C loadFactor() \u003C\u003C '\\n';\n    std::cout \u003C\u003C \"Пустих бакетів: \" \u003C\u003C emptyBuckets \u003C\u003C '\\n';\n    std::cout \u003C\u003C \"Заповнених бакетів: \" \u003C\u003C filledBuckets \u003C\u003C '\\n';\n    std::cout \u003C\u003C \"Максимальна довжина ланцюжка: \" \u003C\u003C maxChainLength \u003C\u003C '\\n';\n    std::cout \u003C\u003C \"Середня довжина ланцюжка: \" \u003C\u003C avgChainLength \u003C\u003C '\\n';\n}\n",[5364,11047,11048,11066,11089,11093,11106,11119,11132,11136,11164,11168,11182,11210,11214,11228,11232,11242,11256,11260,11264,11278,11282,11291,11295,11300,11304,11316,11341,11345,11349,11353,11371,11392,11415,11424,11428,11447,11474,11501,11529,11556,11583,11610,11638],{"__ignoreMap":5512},[5516,11049,11050,11052,11054,11056,11058,11060,11062,11064],{"class":5518,"line":5519},[5516,11051,6529],{"class":5805},[5516,11053,6532],{"class":5813},[5516,11055,6535],{"class":5805},[5516,11057,6538],{"class":5820},[5516,11059,6541],{"class":5813},[5516,11061,6535],{"class":5805},[5516,11063,6546],{"class":5820},[5516,11065,6549],{"class":5813},[5516,11067,11068,11070,11072,11074,11076,11078,11080,11082,11085,11087],{"class":5518,"line":5525},[5516,11069,7896],{"class":5805},[5516,11071,7142],{"class":5820},[5516,11073,6076],{"class":5813},[5516,11075,6944],{"class":5820},[5516,11077,6541],{"class":5813},[5516,11079,6949],{"class":5820},[5516,11081,7628],{"class":5813},[5516,11083,11084],{"class":5809},"printStatistics",[5516,11086,7387],{"class":5813},[5516,11088,8108],{"class":5805},[5516,11090,11091],{"class":5518,"line":5531},[5516,11092,5979],{"class":5813},[5516,11094,11095,11097,11100,11102,11104],{"class":5518,"line":5537},[5516,11096,5984],{"class":5805},[5516,11098,11099],{"class":5833}," emptyBuckets",[5516,11101,5989],{"class":5813},[5516,11103,5993],{"class":5992},[5516,11105,5996],{"class":5813},[5516,11107,11108,11110,11113,11115,11117],{"class":5518,"line":5544},[5516,11109,5984],{"class":5805},[5516,11111,11112],{"class":5833}," maxChainLength",[5516,11114,5989],{"class":5813},[5516,11116,5993],{"class":5992},[5516,11118,5996],{"class":5813},[5516,11120,11121,11123,11126,11128,11130],{"class":5518,"line":5550},[5516,11122,5984],{"class":5805},[5516,11124,11125],{"class":5833}," totalChainLength",[5516,11127,5989],{"class":5813},[5516,11129,5993],{"class":5992},[5516,11131,5996],{"class":5813},[5516,11133,11134],{"class":5518,"line":5556},[5516,11135,6024],{"class":5813},[5516,11137,11138,11140,11142,11144,11146,11148,11150,11152,11154,11156,11158,11160,11162],{"class":5518,"line":5562},[5516,11139,6030],{"class":6029},[5516,11141,5289],{"class":5813},[5516,11143,5806],{"class":5805},[5516,11145,7813],{"class":5833},[5516,11147,5989],{"class":5813},[5516,11149,5993],{"class":5992},[5516,11151,7820],{"class":5813},[5516,11153,7823],{"class":5833},[5516,11155,7826],{"class":5813},[5516,11157,7547],{"class":5833},[5516,11159,7831],{"class":5813},[5516,11161,7823],{"class":5833},[5516,11163,5974],{"class":5813},[5516,11165,11166],{"class":5518,"line":5568},[5516,11167,6051],{"class":5813},[5516,11169,11170,11173,11176,11178,11180],{"class":5518,"line":5574},[5516,11171,11172],{"class":5805},"        size_t",[5516,11174,11175],{"class":5833}," chainLength",[5516,11177,5989],{"class":5813},[5516,11179,5993],{"class":5992},[5516,11181,5996],{"class":5813},[5516,11183,11184,11186,11188,11190,11192,11194,11196,11198,11200,11202,11204,11206,11208],{"class":5518,"line":5580},[5516,11185,10527],{"class":5820},[5516,11187,6076],{"class":5813},[5516,11189,6944],{"class":5820},[5516,11191,6541],{"class":5813},[5516,11193,6949],{"class":5820},[5516,11195,7109],{"class":5813},[5516,11197,6594],{"class":5805},[5516,11199,8507],{"class":5833},[5516,11201,5989],{"class":5813},[5516,11203,6955],{"class":5833},[5516,11205,7851],{"class":5813},[5516,11207,7823],{"class":5833},[5516,11209,8518],{"class":5813},[5516,11211,11212],{"class":5518,"line":5586},[5516,11213,10055],{"class":5813},[5516,11215,11216,11218,11220,11222,11224,11226],{"class":5518,"line":5592},[5516,11217,10565],{"class":6029},[5516,11219,5289],{"class":5813},[5516,11221,8528],{"class":5833},[5516,11223,8531],{"class":5813},[5516,11225,6666],{"class":5805},[5516,11227,5974],{"class":5813},[5516,11229,11230],{"class":5518,"line":5598},[5516,11231,8563],{"class":5813},[5516,11233,11234,11237,11240],{"class":5518,"line":5604},[5516,11235,11236],{"class":5813},"            ++",[5516,11238,11239],{"class":5833},"chainLength",[5516,11241,5996],{"class":5813},[5516,11243,11244,11246,11248,11250,11252,11254],{"class":5518,"line":5609},[5516,11245,8573],{"class":5833},[5516,11247,5989],{"class":5813},[5516,11249,8528],{"class":5833},[5516,11251,7989],{"class":5813},[5516,11253,6661],{"class":5833},[5516,11255,5996],{"class":5813},[5516,11257,11258],{"class":5518,"line":5615},[5516,11259,8598],{"class":5813},[5516,11261,11262],{"class":5518,"line":5621},[5516,11263,10055],{"class":5813},[5516,11265,11266,11268,11270,11272,11274,11276],{"class":5518,"line":5627},[5516,11267,8544],{"class":6029},[5516,11269,5289],{"class":5813},[5516,11271,11239],{"class":5833},[5516,11273,7697],{"class":5813},[5516,11275,5993],{"class":5992},[5516,11277,5974],{"class":5813},[5516,11279,11280],{"class":5518,"line":5632},[5516,11281,8563],{"class":5813},[5516,11283,11284,11286,11289],{"class":5518,"line":5638},[5516,11285,11236],{"class":5813},[5516,11287,11288],{"class":5833},"emptyBuckets",[5516,11290,5996],{"class":5813},[5516,11292,11293],{"class":5518,"line":5644},[5516,11294,8598],{"class":5813},[5516,11296,11297],{"class":5518,"line":5650},[5516,11298,11299],{"class":6029},"        else\n",[5516,11301,11302],{"class":5518,"line":5656},[5516,11303,8563],{"class":5813},[5516,11305,11306,11309,11312,11314],{"class":5518,"line":5662},[5516,11307,11308],{"class":5833},"            totalChainLength",[5516,11310,11311],{"class":5813}," += ",[5516,11313,11239],{"class":5833},[5516,11315,5996],{"class":5813},[5516,11317,11318,11321,11323,11325,11327,11330,11332,11335,11337,11339],{"class":5518,"line":5667},[5516,11319,11320],{"class":5833},"            maxChainLength",[5516,11322,5989],{"class":5813},[5516,11324,8072],{"class":5820},[5516,11326,5824],{"class":5813},[5516,11328,11329],{"class":5809},"max",[5516,11331,5814],{"class":5813},[5516,11333,11334],{"class":5833},"maxChainLength",[5516,11336,6541],{"class":5813},[5516,11338,11239],{"class":5833},[5516,11340,5837],{"class":5813},[5516,11342,11343],{"class":5518,"line":5673},[5516,11344,8598],{"class":5813},[5516,11346,11347],{"class":5518,"line":5679},[5516,11348,6091],{"class":5813},[5516,11350,11351],{"class":5518,"line":5685},[5516,11352,6024],{"class":5813},[5516,11354,11355,11357,11360,11362,11364,11367,11369],{"class":5518,"line":5690},[5516,11356,5984],{"class":5805},[5516,11358,11359],{"class":5833}," filledBuckets",[5516,11361,5989],{"class":5813},[5516,11363,7547],{"class":5833},[5516,11365,11366],{"class":5813}," - ",[5516,11368,11288],{"class":5833},[5516,11370,5996],{"class":5813},[5516,11372,11373,11375,11378,11381,11384,11387,11389],{"class":5518,"line":5695},[5516,11374,7457],{"class":5805},[5516,11376,11377],{"class":5833}," avgChainLength",[5516,11379,11380],{"class":5813}," = (",[5516,11382,11383],{"class":5833},"filledBuckets",[5516,11385,11386],{"class":5813}," > ",[5516,11388,5993],{"class":5992},[5516,11390,11391],{"class":5813},") \n",[5516,11393,11394,11397,11399,11401,11403,11405,11408,11410,11412],{"class":5518,"line":6996},[5516,11395,11396],{"class":5813},"        ? ",[5516,11398,6073],{"class":5805},[5516,11400,6076],{"class":5813},[5516,11402,8806],{"class":5805},[5516,11404,6081],{"class":5813},[5516,11406,11407],{"class":5833},"totalChainLength",[5516,11409,8846],{"class":5813},[5516,11411,11383],{"class":5833},[5516,11413,11414],{"class":5813}," \n",[5516,11416,11417,11419,11422],{"class":5518,"line":7017},[5516,11418,6639],{"class":5813},[5516,11420,11421],{"class":5992},"0.0",[5516,11423,5996],{"class":5813},[5516,11425,11426],{"class":5518,"line":7022},[5516,11427,6024],{"class":5813},[5516,11429,11430,11432,11434,11436,11438,11441,11443,11445],{"class":5518,"line":7028},[5516,11431,6929],{"class":5820},[5516,11433,5824],{"class":5813},[5516,11435,9629],{"class":5833},[5516,11437,9632],{"class":5813},[5516,11439,11440],{"class":6189},"\"=== Статистика хеш-таблиці ===",[5516,11442,9649],{"class":9648},[5516,11444,9687],{"class":6189},[5516,11446,5996],{"class":5813},[5516,11448,11449,11451,11453,11455,11457,11460,11462,11464,11466,11468,11470,11472],{"class":5518,"line":7053},[5516,11450,6929],{"class":5820},[5516,11452,5824],{"class":5813},[5516,11454,9629],{"class":5833},[5516,11456,9632],{"class":5813},[5516,11458,11459],{"class":6189},"\"Кількість елементів: \"",[5516,11461,9632],{"class":5813},[5516,11463,7543],{"class":5833},[5516,11465,9632],{"class":5813},[5516,11467,9645],{"class":6189},[5516,11469,9649],{"class":9648},[5516,11471,9645],{"class":6189},[5516,11473,5996],{"class":5813},[5516,11475,11476,11478,11480,11482,11484,11487,11489,11491,11493,11495,11497,11499],{"class":5518,"line":7077},[5516,11477,6929],{"class":5820},[5516,11479,5824],{"class":5813},[5516,11481,9629],{"class":5833},[5516,11483,9632],{"class":5813},[5516,11485,11486],{"class":6189},"\"Кількість бакетів: \"",[5516,11488,9632],{"class":5813},[5516,11490,7547],{"class":5833},[5516,11492,9632],{"class":5813},[5516,11494,9645],{"class":6189},[5516,11496,9649],{"class":9648},[5516,11498,9645],{"class":6189},[5516,11500,5996],{"class":5813},[5516,11502,11503,11505,11507,11509,11511,11514,11516,11518,11521,11523,11525,11527],{"class":5518,"line":7089},[5516,11504,6929],{"class":5820},[5516,11506,5824],{"class":5813},[5516,11508,9629],{"class":5833},[5516,11510,9632],{"class":5813},[5516,11512,11513],{"class":6189},"\"Коефіцієнт завантаження: \"",[5516,11515,9632],{"class":5813},[5516,11517,8752],{"class":5809},[5516,11519,11520],{"class":5813},"() \u003C\u003C ",[5516,11522,9645],{"class":6189},[5516,11524,9649],{"class":9648},[5516,11526,9645],{"class":6189},[5516,11528,5996],{"class":5813},[5516,11530,11531,11533,11535,11537,11539,11542,11544,11546,11548,11550,11552,11554],{"class":5518,"line":7119},[5516,11532,6929],{"class":5820},[5516,11534,5824],{"class":5813},[5516,11536,9629],{"class":5833},[5516,11538,9632],{"class":5813},[5516,11540,11541],{"class":6189},"\"Пустих бакетів: \"",[5516,11543,9632],{"class":5813},[5516,11545,11288],{"class":5833},[5516,11547,9632],{"class":5813},[5516,11549,9645],{"class":6189},[5516,11551,9649],{"class":9648},[5516,11553,9645],{"class":6189},[5516,11555,5996],{"class":5813},[5516,11557,11558,11560,11562,11564,11566,11569,11571,11573,11575,11577,11579,11581],{"class":5518,"line":7124},[5516,11559,6929],{"class":5820},[5516,11561,5824],{"class":5813},[5516,11563,9629],{"class":5833},[5516,11565,9632],{"class":5813},[5516,11567,11568],{"class":6189},"\"Заповнених бакетів: \"",[5516,11570,9632],{"class":5813},[5516,11572,11383],{"class":5833},[5516,11574,9632],{"class":5813},[5516,11576,9645],{"class":6189},[5516,11578,9649],{"class":9648},[5516,11580,9645],{"class":6189},[5516,11582,5996],{"class":5813},[5516,11584,11585,11587,11589,11591,11593,11596,11598,11600,11602,11604,11606,11608],{"class":5518,"line":7130},[5516,11586,6929],{"class":5820},[5516,11588,5824],{"class":5813},[5516,11590,9629],{"class":5833},[5516,11592,9632],{"class":5813},[5516,11594,11595],{"class":6189},"\"Максимальна довжина ланцюжка: \"",[5516,11597,9632],{"class":5813},[5516,11599,11334],{"class":5833},[5516,11601,9632],{"class":5813},[5516,11603,9645],{"class":6189},[5516,11605,9649],{"class":9648},[5516,11607,9645],{"class":6189},[5516,11609,5996],{"class":5813},[5516,11611,11612,11614,11616,11618,11620,11623,11625,11628,11630,11632,11634,11636],{"class":5518,"line":7136},[5516,11613,6929],{"class":5820},[5516,11615,5824],{"class":5813},[5516,11617,9629],{"class":5833},[5516,11619,9632],{"class":5813},[5516,11621,11622],{"class":6189},"\"Середня довжина ланцюжка: \"",[5516,11624,9632],{"class":5813},[5516,11626,11627],{"class":5833},"avgChainLength",[5516,11629,9632],{"class":5813},[5516,11631,9645],{"class":6189},[5516,11633,9649],{"class":9648},[5516,11635,9645],{"class":6189},[5516,11637,5996],{"class":5813},[5516,11639,11640],{"class":5518,"line":7159},[5516,11641,5601],{"class":5813},[5383,11643,11644,11647],{},[5271,11645,11646],{},"Ідеальна статистика:"," Якщо хеш-функція рівномірна:",[5264,11649,11650,11653,11656],{},[5267,11651,11652],{},"Середня довжина ланцюжка ≈ λ (коефіцієнт завантаження).",[5267,11654,11655],{},"Максимальна довжина ≈ 2λ (нормальне відхилення).",[5267,11657,11658,11659,11662],{},"Багато пустих бакетів (50–70%) — це ",[5271,11660,11661],{},"нормально"," при λ \u003C 1.",[5923,11664,11666,11672,11680],{"title":11665},"Ознаки поганої хеш-функції",[5383,11667,8361,11668,11671],{},[5271,11669,11670],{},"максимальна довжина >> середньої",", це сигнал про нерівномірний розподіл. Наприклад:",[5264,11673,11674,11677],{},[5267,11675,11676],{},"Середня довжина: 1.2",[5267,11678,11679],{},"Максимальна довжина: 50 ← Один бакет містить майже всі елементи!",[5383,11681,11682,11683,6211],{},"Це означає, що хеш-функція перетворює різні ключі у один індекс. Потрібно змінити функцію або збільшити ",[5364,11684,7547],{},[5375,11686],{},[5378,11688,11690],{"id":11689},"практичне-використання-приклад-програми","Практичне використання: приклад програми",[5507,11692,11694],{"className":5796,"code":11693,"language":5798,"meta":5512,"style":5512},"#include \"HashTable.h\"\n#include \u003Ciostream>\n\nint main()\n{\n    std::cout \u003C\u003C \"=== Демонстрація хеш-таблиці ===\\n\\n\";\n    \n    \u002F\u002F Створюємо словник англійсько-український\n    HashTable\u003Cstd::string, std::string> dictionary(8);  \u002F\u002F Початкова ємність 8\n    \n    \u002F\u002F Вставка елементів\n    std::cout \u003C\u003C \"Додаємо слова до словника:\\n\";\n    dictionary.insert(\"cat\", \"кіт\");\n    dictionary.insert(\"dog\", \"собака\");\n    dictionary.insert(\"apple\", \"яблуко\");\n    dictionary.insert(\"computer\", \"комп'ютер\");\n    dictionary.insert(\"algorithm\", \"алгоритм\");\n    dictionary.insert(\"data\", \"дані\");\n    dictionary.insert(\"structure\", \"структура\");\n    dictionary.insert(\"hash\", \"хеш\");\n    dictionary.insert(\"table\", \"таблиця\");\n    dictionary.insert(\"function\", \"функція\");\n    \n    std::cout \u003C\u003C \"Додано \" \u003C\u003C dictionary.size() \u003C\u003C \" слів\\n\\n\";\n    \n    \u002F\u002F Пошук перекладів\n    std::cout \u003C\u003C \"Пошук перекладів:\\n\";\n    std::string words[] = {\"cat\", \"algorithm\", \"zebra\", \"table\"};\n    \n    for (const auto& word : words)\n    {\n        std::string* translation = dictionary.find(word);\n        if (translation != nullptr)\n        {\n            std::cout \u003C\u003C \"  \" \u003C\u003C word \u003C\u003C \" → \" \u003C\u003C *translation \u003C\u003C \" ✓\\n\";\n        }\n        else\n        {\n            std::cout \u003C\u003C \"  \" \u003C\u003C word \u003C\u003C \" → не знайдено ✗\\n\";\n        }\n    }\n    \n    std::cout \u003C\u003C '\\n';\n    \n    \u002F\u002F Статистика таблиці\n    dictionary.printStatistics();\n    std::cout \u003C\u003C '\\n';\n    \n    \u002F\u002F Оновлення значення\n    std::cout \u003C\u003C \"Оновлюємо переклад 'cat':\\n\";\n    dictionary.insert(\"cat\", \"кішка\");  \u002F\u002F Перезаписує стару\n    std::string* catTranslation = dictionary.find(\"cat\");\n    std::cout \u003C\u003C \"  cat → \" \u003C\u003C *catTranslation \u003C\u003C '\\n';\n    std::cout \u003C\u003C '\\n';\n    \n    \u002F\u002F Видалення елементів\n    std::cout \u003C\u003C \"Видаляємо слова:\\n\";\n    bool removed1 = dictionary.remove(\"dog\");\n    bool removed2 = dictionary.remove(\"zebra\");\n    std::cout \u003C\u003C \"  dog: \" \u003C\u003C (removed1 ? \"видалено ✓\" : \"не знайдено ✗\") \u003C\u003C '\\n';\n    std::cout \u003C\u003C \"  zebra: \" \u003C\u003C (removed2 ? \"видалено ✓\" : \"не знайдено ✗\") \u003C\u003C '\\n';\n    std::cout \u003C\u003C \"  Елементів залишилось: \" \u003C\u003C dictionary.size() \u003C\u003C '\\n';\n    std::cout \u003C\u003C '\\n';\n    \n    \u002F\u002F Фінальна статистика\n    dictionary.printStatistics();\n    \n    return 0;\n}\n",[5364,11695,11696,11703,11709,11713,11723,11727,11747,11751,11756,11792,11796,11801,11820,11839,11859,11879,11899,11919,11939,11959,11979,11999,12019,12023,12055,12059,12064,12083,12114,12118,12139,12143,12172,12186,12190,12228,12232,12236,12240,12267,12271,12275,12279,12297,12301,12306,12316,12334,12338,12343,12362,12384,12411,12439,12457,12461,12466,12485,12506,12527,12568,12604,12635,12653,12657,12662,12672,12676,12685],{"__ignoreMap":5512},[5516,11697,11698,11700],{"class":5518,"line":5519},[5516,11699,6733],{"class":6029},[5516,11701,11702],{"class":6189}," \"HashTable.h\"\n",[5516,11704,11705,11707],{"class":5518,"line":5525},[5516,11706,6733],{"class":6029},[5516,11708,6736],{"class":6189},[5516,11710,11711],{"class":5518,"line":5531},[5516,11712,5541],{"emptyLinePlaceholder":5540},[5516,11714,11715,11718,11721],{"class":5518,"line":5537},[5516,11716,11717],{"class":5805},"int",[5516,11719,11720],{"class":5809}," main",[5516,11722,7793],{"class":5813},[5516,11724,11725],{"class":5518,"line":5544},[5516,11726,5979],{"class":5813},[5516,11728,11729,11731,11733,11735,11737,11740,11743,11745],{"class":5518,"line":5550},[5516,11730,6929],{"class":5820},[5516,11732,5824],{"class":5813},[5516,11734,9629],{"class":5833},[5516,11736,9632],{"class":5813},[5516,11738,11739],{"class":6189},"\"=== Демонстрація хеш-таблиці ===",[5516,11741,11742],{"class":9648},"\\n\\n",[5516,11744,9687],{"class":6189},[5516,11746,5996],{"class":5813},[5516,11748,11749],{"class":5518,"line":5556},[5516,11750,6024],{"class":5813},[5516,11752,11753],{"class":5518,"line":5562},[5516,11754,11755],{"class":6018},"    \u002F\u002F Створюємо словник англійсько-український\n",[5516,11757,11758,11760,11762,11764,11766,11768,11770,11772,11774,11776,11778,11781,11783,11786,11789],{"class":5518,"line":5568},[5516,11759,7192],{"class":5820},[5516,11761,6076],{"class":5813},[5516,11763,8072],{"class":5820},[5516,11765,5824],{"class":5813},[5516,11767,5827],{"class":5820},[5516,11769,6541],{"class":5813},[5516,11771,8072],{"class":5820},[5516,11773,5824],{"class":5813},[5516,11775,5827],{"class":5820},[5516,11777,9545],{"class":5813},[5516,11779,11780],{"class":5809},"dictionary",[5516,11782,5814],{"class":5813},[5516,11784,11785],{"class":5992},"8",[5516,11787,11788],{"class":5813},");",[5516,11790,11791],{"class":6018},"  \u002F\u002F Початкова ємність 8\n",[5516,11793,11794],{"class":5518,"line":5574},[5516,11795,6024],{"class":5813},[5516,11797,11798],{"class":5518,"line":5580},[5516,11799,11800],{"class":6018},"    \u002F\u002F Вставка елементів\n",[5516,11802,11803,11805,11807,11809,11811,11814,11816,11818],{"class":5518,"line":5586},[5516,11804,6929],{"class":5820},[5516,11806,5824],{"class":5813},[5516,11808,9629],{"class":5833},[5516,11810,9632],{"class":5813},[5516,11812,11813],{"class":6189},"\"Додаємо слова до словника:",[5516,11815,9649],{"class":9648},[5516,11817,9687],{"class":6189},[5516,11819,5996],{"class":5813},[5516,11821,11822,11825,11827,11829,11831,11833,11835,11837],{"class":5518,"line":5592},[5516,11823,11824],{"class":5833},"    dictionary",[5516,11826,6211],{"class":5813},[5516,11828,8432],{"class":5809},[5516,11830,5814],{"class":5813},[5516,11832,6190],{"class":6189},[5516,11834,6541],{"class":5813},[5516,11836,9567],{"class":6189},[5516,11838,5837],{"class":5813},[5516,11840,11841,11843,11845,11847,11849,11852,11854,11857],{"class":5518,"line":5598},[5516,11842,11824],{"class":5833},[5516,11844,6211],{"class":5813},[5516,11846,8432],{"class":5809},[5516,11848,5814],{"class":5813},[5516,11850,11851],{"class":6189},"\"dog\"",[5516,11853,6541],{"class":5813},[5516,11855,11856],{"class":6189},"\"собака\"",[5516,11858,5837],{"class":5813},[5516,11860,11861,11863,11865,11867,11869,11872,11874,11877],{"class":5518,"line":5604},[5516,11862,11824],{"class":5833},[5516,11864,6211],{"class":5813},[5516,11866,8432],{"class":5809},[5516,11868,5814],{"class":5813},[5516,11870,11871],{"class":6189},"\"apple\"",[5516,11873,6541],{"class":5813},[5516,11875,11876],{"class":6189},"\"яблуко\"",[5516,11878,5837],{"class":5813},[5516,11880,11881,11883,11885,11887,11889,11892,11894,11897],{"class":5518,"line":5609},[5516,11882,11824],{"class":5833},[5516,11884,6211],{"class":5813},[5516,11886,8432],{"class":5809},[5516,11888,5814],{"class":5813},[5516,11890,11891],{"class":6189},"\"computer\"",[5516,11893,6541],{"class":5813},[5516,11895,11896],{"class":6189},"\"комп'ютер\"",[5516,11898,5837],{"class":5813},[5516,11900,11901,11903,11905,11907,11909,11912,11914,11917],{"class":5518,"line":5615},[5516,11902,11824],{"class":5833},[5516,11904,6211],{"class":5813},[5516,11906,8432],{"class":5809},[5516,11908,5814],{"class":5813},[5516,11910,11911],{"class":6189},"\"algorithm\"",[5516,11913,6541],{"class":5813},[5516,11915,11916],{"class":6189},"\"алгоритм\"",[5516,11918,5837],{"class":5813},[5516,11920,11921,11923,11925,11927,11929,11932,11934,11937],{"class":5518,"line":5621},[5516,11922,11824],{"class":5833},[5516,11924,6211],{"class":5813},[5516,11926,8432],{"class":5809},[5516,11928,5814],{"class":5813},[5516,11930,11931],{"class":6189},"\"data\"",[5516,11933,6541],{"class":5813},[5516,11935,11936],{"class":6189},"\"дані\"",[5516,11938,5837],{"class":5813},[5516,11940,11941,11943,11945,11947,11949,11952,11954,11957],{"class":5518,"line":5627},[5516,11942,11824],{"class":5833},[5516,11944,6211],{"class":5813},[5516,11946,8432],{"class":5809},[5516,11948,5814],{"class":5813},[5516,11950,11951],{"class":6189},"\"structure\"",[5516,11953,6541],{"class":5813},[5516,11955,11956],{"class":6189},"\"структура\"",[5516,11958,5837],{"class":5813},[5516,11960,11961,11963,11965,11967,11969,11972,11974,11977],{"class":5518,"line":5632},[5516,11962,11824],{"class":5833},[5516,11964,6211],{"class":5813},[5516,11966,8432],{"class":5809},[5516,11968,5814],{"class":5813},[5516,11970,11971],{"class":6189},"\"hash\"",[5516,11973,6541],{"class":5813},[5516,11975,11976],{"class":6189},"\"хеш\"",[5516,11978,5837],{"class":5813},[5516,11980,11981,11983,11985,11987,11989,11992,11994,11997],{"class":5518,"line":5638},[5516,11982,11824],{"class":5833},[5516,11984,6211],{"class":5813},[5516,11986,8432],{"class":5809},[5516,11988,5814],{"class":5813},[5516,11990,11991],{"class":6189},"\"table\"",[5516,11993,6541],{"class":5813},[5516,11995,11996],{"class":6189},"\"таблиця\"",[5516,11998,5837],{"class":5813},[5516,12000,12001,12003,12005,12007,12009,12012,12014,12017],{"class":5518,"line":5644},[5516,12002,11824],{"class":5833},[5516,12004,6211],{"class":5813},[5516,12006,8432],{"class":5809},[5516,12008,5814],{"class":5813},[5516,12010,12011],{"class":6189},"\"function\"",[5516,12013,6541],{"class":5813},[5516,12015,12016],{"class":6189},"\"функція\"",[5516,12018,5837],{"class":5813},[5516,12020,12021],{"class":5518,"line":5650},[5516,12022,6024],{"class":5813},[5516,12024,12025,12027,12029,12031,12033,12036,12038,12040,12042,12044,12046,12049,12051,12053],{"class":5518,"line":5656},[5516,12026,6929],{"class":5820},[5516,12028,5824],{"class":5813},[5516,12030,9629],{"class":5833},[5516,12032,9632],{"class":5813},[5516,12034,12035],{"class":6189},"\"Додано \"",[5516,12037,9632],{"class":5813},[5516,12039,11780],{"class":5833},[5516,12041,6211],{"class":5813},[5516,12043,10930],{"class":5809},[5516,12045,11520],{"class":5813},[5516,12047,12048],{"class":6189},"\" слів",[5516,12050,11742],{"class":9648},[5516,12052,9687],{"class":6189},[5516,12054,5996],{"class":5813},[5516,12056,12057],{"class":5518,"line":5662},[5516,12058,6024],{"class":5813},[5516,12060,12061],{"class":5518,"line":5667},[5516,12062,12063],{"class":6018},"    \u002F\u002F Пошук перекладів\n",[5516,12065,12066,12068,12070,12072,12074,12077,12079,12081],{"class":5518,"line":5673},[5516,12067,6929],{"class":5820},[5516,12069,5824],{"class":5813},[5516,12071,9629],{"class":5833},[5516,12073,9632],{"class":5813},[5516,12075,12076],{"class":6189},"\"Пошук перекладів:",[5516,12078,9649],{"class":9648},[5516,12080,9687],{"class":6189},[5516,12082,5996],{"class":5813},[5516,12084,12085,12087,12089,12091,12094,12097,12099,12101,12103,12105,12108,12110,12112],{"class":5518,"line":5679},[5516,12086,6929],{"class":5820},[5516,12088,5824],{"class":5813},[5516,12090,5827],{"class":5820},[5516,12092,12093],{"class":5833}," words",[5516,12095,12096],{"class":5813},"[] = {",[5516,12098,6190],{"class":6189},[5516,12100,6541],{"class":5813},[5516,12102,11911],{"class":6189},[5516,12104,6541],{"class":5813},[5516,12106,12107],{"class":6189},"\"zebra\"",[5516,12109,6541],{"class":5813},[5516,12111,11991],{"class":6189},[5516,12113,6681],{"class":5813},[5516,12115,12116],{"class":5518,"line":5685},[5516,12117,6024],{"class":5813},[5516,12119,12120,12122,12124,12126,12129,12132,12134,12137],{"class":5518,"line":5690},[5516,12121,6030],{"class":6029},[5516,12123,5289],{"class":5813},[5516,12125,5817],{"class":5805},[5516,12127,12128],{"class":5805}," auto&",[5516,12130,12131],{"class":5833}," word",[5516,12133,6041],{"class":5813},[5516,12135,12136],{"class":5833},"words",[5516,12138,5974],{"class":5813},[5516,12140,12141],{"class":5518,"line":5695},[5516,12142,6051],{"class":5813},[5516,12144,12145,12148,12150,12152,12154,12157,12159,12161,12163,12165,12167,12170],{"class":5518,"line":6996},[5516,12146,12147],{"class":5820},"        std",[5516,12149,5824],{"class":5813},[5516,12151,5827],{"class":5820},[5516,12153,6594],{"class":5805},[5516,12155,12156],{"class":5833}," translation",[5516,12158,5989],{"class":5813},[5516,12160,11780],{"class":5833},[5516,12162,6211],{"class":5813},[5516,12164,9120],{"class":5809},[5516,12166,5814],{"class":5813},[5516,12168,12169],{"class":5833},"word",[5516,12171,5837],{"class":5813},[5516,12173,12174,12176,12178,12180,12182,12184],{"class":5518,"line":7017},[5516,12175,8544],{"class":6029},[5516,12177,5289],{"class":5813},[5516,12179,9587],{"class":5833},[5516,12181,8531],{"class":5813},[5516,12183,6666],{"class":5805},[5516,12185,5974],{"class":5813},[5516,12187,12188],{"class":5518,"line":7022},[5516,12189,8563],{"class":5813},[5516,12191,12192,12195,12197,12199,12201,12204,12206,12208,12210,12213,12215,12217,12219,12222,12224,12226],{"class":5518,"line":7028},[5516,12193,12194],{"class":5820},"            std",[5516,12196,5824],{"class":5813},[5516,12198,9629],{"class":5833},[5516,12200,9632],{"class":5813},[5516,12202,12203],{"class":6189},"\"  \"",[5516,12205,9632],{"class":5813},[5516,12207,12169],{"class":5833},[5516,12209,9632],{"class":5813},[5516,12211,12212],{"class":6189},"\" → \"",[5516,12214,9638],{"class":5813},[5516,12216,9587],{"class":5833},[5516,12218,9632],{"class":5813},[5516,12220,12221],{"class":6189},"\" ✓",[5516,12223,9649],{"class":9648},[5516,12225,9687],{"class":6189},[5516,12227,5996],{"class":5813},[5516,12229,12230],{"class":5518,"line":7053},[5516,12231,8598],{"class":5813},[5516,12233,12234],{"class":5518,"line":7077},[5516,12235,11299],{"class":6029},[5516,12237,12238],{"class":5518,"line":7089},[5516,12239,8563],{"class":5813},[5516,12241,12242,12244,12246,12248,12250,12252,12254,12256,12258,12261,12263,12265],{"class":5518,"line":7119},[5516,12243,12194],{"class":5820},[5516,12245,5824],{"class":5813},[5516,12247,9629],{"class":5833},[5516,12249,9632],{"class":5813},[5516,12251,12203],{"class":6189},[5516,12253,9632],{"class":5813},[5516,12255,12169],{"class":5833},[5516,12257,9632],{"class":5813},[5516,12259,12260],{"class":6189},"\" → не знайдено ✗",[5516,12262,9649],{"class":9648},[5516,12264,9687],{"class":6189},[5516,12266,5996],{"class":5813},[5516,12268,12269],{"class":5518,"line":7124},[5516,12270,8598],{"class":5813},[5516,12272,12273],{"class":5518,"line":7130},[5516,12274,6091],{"class":5813},[5516,12276,12277],{"class":5518,"line":7136},[5516,12278,6024],{"class":5813},[5516,12280,12281,12283,12285,12287,12289,12291,12293,12295],{"class":5518,"line":7159},[5516,12282,6929],{"class":5820},[5516,12284,5824],{"class":5813},[5516,12286,9629],{"class":5833},[5516,12288,9632],{"class":5813},[5516,12290,9645],{"class":6189},[5516,12292,9649],{"class":9648},[5516,12294,9645],{"class":6189},[5516,12296,5996],{"class":5813},[5516,12298,12299],{"class":5518,"line":7164},[5516,12300,6024],{"class":5813},[5516,12302,12303],{"class":5518,"line":7170},[5516,12304,12305],{"class":6018},"    \u002F\u002F Статистика таблиці\n",[5516,12307,12308,12310,12312,12314],{"class":5518,"line":7178},[5516,12309,11824],{"class":5833},[5516,12311,6211],{"class":5813},[5516,12313,11084],{"class":5809},[5516,12315,7086],{"class":5813},[5516,12317,12318,12320,12322,12324,12326,12328,12330,12332],{"class":5518,"line":7183},[5516,12319,6929],{"class":5820},[5516,12321,5824],{"class":5813},[5516,12323,9629],{"class":5833},[5516,12325,9632],{"class":5813},[5516,12327,9645],{"class":6189},[5516,12329,9649],{"class":9648},[5516,12331,9645],{"class":6189},[5516,12333,5996],{"class":5813},[5516,12335,12336],{"class":5518,"line":7189},[5516,12337,6024],{"class":5813},[5516,12339,12340],{"class":5518,"line":7211},[5516,12341,12342],{"class":6018},"    \u002F\u002F Оновлення значення\n",[5516,12344,12345,12347,12349,12351,12353,12356,12358,12360],{"class":5518,"line":7235},[5516,12346,6929],{"class":5820},[5516,12348,5824],{"class":5813},[5516,12350,9629],{"class":5833},[5516,12352,9632],{"class":5813},[5516,12354,12355],{"class":6189},"\"Оновлюємо переклад 'cat':",[5516,12357,9649],{"class":9648},[5516,12359,9687],{"class":6189},[5516,12361,5996],{"class":5813},[5516,12363,12364,12366,12368,12370,12372,12374,12376,12379,12381],{"class":5518,"line":7240},[5516,12365,11824],{"class":5833},[5516,12367,6211],{"class":5813},[5516,12369,8432],{"class":5809},[5516,12371,5814],{"class":5813},[5516,12373,6190],{"class":6189},[5516,12375,6541],{"class":5813},[5516,12377,12378],{"class":6189},"\"кішка\"",[5516,12380,11788],{"class":5813},[5516,12382,12383],{"class":6018},"  \u002F\u002F Перезаписує стару\n",[5516,12385,12386,12388,12390,12392,12394,12397,12399,12401,12403,12405,12407,12409],{"class":5518,"line":7246},[5516,12387,6929],{"class":5820},[5516,12389,5824],{"class":5813},[5516,12391,5827],{"class":5820},[5516,12393,6594],{"class":5805},[5516,12395,12396],{"class":5833}," catTranslation",[5516,12398,5989],{"class":5813},[5516,12400,11780],{"class":5833},[5516,12402,6211],{"class":5813},[5516,12404,9120],{"class":5809},[5516,12406,5814],{"class":5813},[5516,12408,6190],{"class":6189},[5516,12410,5837],{"class":5813},[5516,12412,12413,12415,12417,12419,12421,12424,12426,12429,12431,12433,12435,12437],{"class":5518,"line":7276},[5516,12414,6929],{"class":5820},[5516,12416,5824],{"class":5813},[5516,12418,9629],{"class":5833},[5516,12420,9632],{"class":5813},[5516,12422,12423],{"class":6189},"\"  cat → \"",[5516,12425,9638],{"class":5813},[5516,12427,12428],{"class":5833},"catTranslation",[5516,12430,9632],{"class":5813},[5516,12432,9645],{"class":6189},[5516,12434,9649],{"class":9648},[5516,12436,9645],{"class":6189},[5516,12438,5996],{"class":5813},[5516,12440,12441,12443,12445,12447,12449,12451,12453,12455],{"class":5518,"line":7281},[5516,12442,6929],{"class":5820},[5516,12444,5824],{"class":5813},[5516,12446,9629],{"class":5833},[5516,12448,9632],{"class":5813},[5516,12450,9645],{"class":6189},[5516,12452,9649],{"class":9648},[5516,12454,9645],{"class":6189},[5516,12456,5996],{"class":5813},[5516,12458,12459],{"class":5518,"line":7287},[5516,12460,6024],{"class":5813},[5516,12462,12463],{"class":5518,"line":7308},[5516,12464,12465],{"class":6018},"    \u002F\u002F Видалення елементів\n",[5516,12467,12468,12470,12472,12474,12476,12479,12481,12483],{"class":5518,"line":7313},[5516,12469,6929],{"class":5820},[5516,12471,5824],{"class":5813},[5516,12473,9629],{"class":5833},[5516,12475,9632],{"class":5813},[5516,12477,12478],{"class":6189},"\"Видаляємо слова:",[5516,12480,9649],{"class":9648},[5516,12482,9687],{"class":6189},[5516,12484,5996],{"class":5813},[5516,12486,12487,12489,12492,12494,12496,12498,12500,12502,12504],{"class":5518,"line":7319},[5516,12488,7290],{"class":5805},[5516,12490,12491],{"class":5833}," removed1",[5516,12493,5989],{"class":5813},[5516,12495,11780],{"class":5833},[5516,12497,6211],{"class":5813},[5516,12499,9775],{"class":5809},[5516,12501,5814],{"class":5813},[5516,12503,11851],{"class":6189},[5516,12505,5837],{"class":5813},[5516,12507,12508,12510,12513,12515,12517,12519,12521,12523,12525],{"class":5518,"line":7341},[5516,12509,7290],{"class":5805},[5516,12511,12512],{"class":5833}," removed2",[5516,12514,5989],{"class":5813},[5516,12516,11780],{"class":5833},[5516,12518,6211],{"class":5813},[5516,12520,9775],{"class":5809},[5516,12522,5814],{"class":5813},[5516,12524,12107],{"class":6189},[5516,12526,5837],{"class":5813},[5516,12528,12529,12531,12533,12535,12537,12540,12543,12546,12549,12552,12554,12557,12560,12562,12564,12566],{"class":5518,"line":7368},[5516,12530,6929],{"class":5820},[5516,12532,5824],{"class":5813},[5516,12534,9629],{"class":5833},[5516,12536,9632],{"class":5813},[5516,12538,12539],{"class":6189},"\"  dog: \"",[5516,12541,12542],{"class":5813}," \u003C\u003C (",[5516,12544,12545],{"class":5833},"removed1",[5516,12547,12548],{"class":5813}," ? ",[5516,12550,12551],{"class":6189},"\"видалено ✓\"",[5516,12553,6041],{"class":5813},[5516,12555,12556],{"class":6189},"\"не знайдено ✗\"",[5516,12558,12559],{"class":5813},") \u003C\u003C ",[5516,12561,9645],{"class":6189},[5516,12563,9649],{"class":9648},[5516,12565,9645],{"class":6189},[5516,12567,5996],{"class":5813},[5516,12569,12570,12572,12574,12576,12578,12581,12583,12586,12588,12590,12592,12594,12596,12598,12600,12602],{"class":5518,"line":7373},[5516,12571,6929],{"class":5820},[5516,12573,5824],{"class":5813},[5516,12575,9629],{"class":5833},[5516,12577,9632],{"class":5813},[5516,12579,12580],{"class":6189},"\"  zebra: \"",[5516,12582,12542],{"class":5813},[5516,12584,12585],{"class":5833},"removed2",[5516,12587,12548],{"class":5813},[5516,12589,12551],{"class":6189},[5516,12591,6041],{"class":5813},[5516,12593,12556],{"class":6189},[5516,12595,12559],{"class":5813},[5516,12597,9645],{"class":6189},[5516,12599,9649],{"class":9648},[5516,12601,9645],{"class":6189},[5516,12603,5996],{"class":5813},[5516,12605,12606,12608,12610,12612,12614,12617,12619,12621,12623,12625,12627,12629,12631,12633],{"class":5518,"line":7379},[5516,12607,6929],{"class":5820},[5516,12609,5824],{"class":5813},[5516,12611,9629],{"class":5833},[5516,12613,9632],{"class":5813},[5516,12615,12616],{"class":6189},"\"  Елементів залишилось: \"",[5516,12618,9632],{"class":5813},[5516,12620,11780],{"class":5833},[5516,12622,6211],{"class":5813},[5516,12624,10930],{"class":5809},[5516,12626,11520],{"class":5813},[5516,12628,9645],{"class":6189},[5516,12630,9649],{"class":9648},[5516,12632,9645],{"class":6189},[5516,12634,5996],{"class":5813},[5516,12636,12637,12639,12641,12643,12645,12647,12649,12651],{"class":5518,"line":7394},[5516,12638,6929],{"class":5820},[5516,12640,5824],{"class":5813},[5516,12642,9629],{"class":5833},[5516,12644,9632],{"class":5813},[5516,12646,9645],{"class":6189},[5516,12648,9649],{"class":9648},[5516,12650,9645],{"class":6189},[5516,12652,5996],{"class":5813},[5516,12654,12655],{"class":5518,"line":7399},[5516,12656,6024],{"class":5813},[5516,12658,12659],{"class":5518,"line":7405},[5516,12660,12661],{"class":6018},"    \u002F\u002F Фінальна статистика\n",[5516,12663,12664,12666,12668,12670],{"class":5518,"line":7419},[5516,12665,11824],{"class":5833},[5516,12667,6211],{"class":5813},[5516,12669,11084],{"class":5809},[5516,12671,7086],{"class":5813},[5516,12673,12674],{"class":5518,"line":7424},[5516,12675,6024],{"class":5813},[5516,12677,12678,12680,12683],{"class":5518,"line":7430},[5516,12679,6100],{"class":6029},[5516,12681,12682],{"class":5992}," 0",[5516,12684,5996],{"class":5813},[5516,12686,12687],{"class":5518,"line":7443},[5516,12688,5601],{"class":5813},[12690,12691,12693,12707,12715,12718,12722,12732,12735,12739,12751,12762,12775,12786,12789,12796,12803,12814,12823,12831,12839,12846,12854,12857,12861,12868,12871,12875,12886,12896,12903,12906,12912,12918,12924,12931,12937,12944,12950],"terminal-preview",{"title":12692},"g++ -std=c++17 main.cpp -o hashtable && .\u002Fhashtable",[12694,12695,12697,7520,12702],"div",{"className":12696},[5518],[5516,12698,12701],{"className":12699},[12700],"opacity-40","$",[5271,12703,12706],{"className":12704},[12705],"font-bold",".\u002Fhashtable",[12694,12708,12710],{"className":12709},[5518],[5516,12711,12714],{"className":12712},[12713,12705],"text-blue-400","=== Демонстрація хеш-таблиці ===",[12694,12716],{"className":12717},[5518],[12694,12719,12721],{"className":12720},[5518],"Додаємо слова до словника:",[12694,12723,12725,12726,12731],{"className":12724},[5518],"Додано ",[5516,12727,12730],{"className":12728},[12729,12705],"text-green-400","10"," слів",[12694,12733],{"className":12734},[5518],[12694,12736,12738],{"className":12737},[5518],"Пошук перекладів:",[12694,12740,12742,12743,7520,12747],{"className":12741},[5518],"  cat → ",[5516,12744,12746],{"className":12745},[12729],"кіт",[5516,12748,12750],{"className":12749},[12729,12705],"✓",[12694,12752,12754,12755,7520,12759],{"className":12753},[5518],"  algorithm → ",[5516,12756,12758],{"className":12757},[12729],"алгоритм",[5516,12760,12750],{"className":12761},[12729,12705],[12694,12763,12765,12766,7520,12771],{"className":12764},[5518],"  zebra → ",[5516,12767,12770],{"className":12768},[12769],"text-rose-400","не знайдено",[5516,12772,12774],{"className":12773},[12769,12705],"✗",[12694,12776,12778,12779,7520,12783],{"className":12777},[5518],"  table → ",[5516,12780,12782],{"className":12781},[12729],"таблиця",[5516,12784,12750],{"className":12785},[12729,12705],[12694,12787],{"className":12788},[5518],[12694,12790,12792],{"className":12791},[5518],[5516,12793,12795],{"className":12794},[12713,12705],"=== Статистика хеш-таблиці ===",[12694,12797,12799,12800],{"className":12798},[5518],"Кількість елементів: ",[5516,12801,12730],{"className":12802},[12713],[12694,12804,12806,12807,7520,12810],{"className":12805},[5518],"Кількість бакетів: ",[5516,12808,7154],{"className":12809},[12713],[5516,12811,12813],{"className":12812},[12700],"(подвоїлось після λ > 0.75)",[12694,12815,12817,12818],{"className":12816},[5518],"Коефіцієнт завантаження: ",[5516,12819,12822],{"className":12820},[12821],"text-yellow-400","0.625",[12694,12824,12826,12827],{"className":12825},[5518],"Пустих бакетів: ",[5516,12828,12830],{"className":12829},[12713],"9",[12694,12832,12834,12835],{"className":12833},[5518],"Заповнених бакетів: ",[5516,12836,12838],{"className":12837},[12713],"7",[12694,12840,12842,12843],{"className":12841},[5518],"Максимальна довжина ланцюжка: ",[5516,12844,10443],{"className":12845},[12729],[12694,12847,12849,12850],{"className":12848},[5518],"Середня довжина ланцюжка: ",[5516,12851,12853],{"className":12852},[12729],"1.43",[12694,12855],{"className":12856},[5518],[12694,12858,12860],{"className":12859},[5518],"Оновлюємо переклад 'cat':",[12694,12862,12742,12864],{"className":12863},[5518],[5516,12865,12867],{"className":12866},[12729],"кішка",[12694,12869],{"className":12870},[5518],[12694,12872,12874],{"className":12873},[5518],"Видаляємо слова:",[12694,12876,12878,12879,7520,12883],{"className":12877},[5518],"  dog: ",[5516,12880,12882],{"className":12881},[12729],"видалено",[5516,12884,12750],{"className":12885},[12729,12705],[12694,12887,12889,12890,7520,12893],{"className":12888},[5518],"  zebra: ",[5516,12891,12770],{"className":12892},[12769],[5516,12894,12774],{"className":12895},[12769,12705],[12694,12897,12899,12900],{"className":12898},[5518],"  Елементів залишилось: ",[5516,12901,12830],{"className":12902},[12713],[12694,12904],{"className":12905},[5518],[12694,12907,12909],{"className":12908},[5518],[5516,12910,12795],{"className":12911},[12713,12705],[12694,12913,12799,12915],{"className":12914},[5518],[5516,12916,12830],{"className":12917},[12713],[12694,12919,12806,12921],{"className":12920},[5518],[5516,12922,7154],{"className":12923},[12713],[12694,12925,12817,12927],{"className":12926},[5518],[5516,12928,12930],{"className":12929},[12729],"0.5625",[12694,12932,12826,12934],{"className":12933},[5518],[5516,12935,12730],{"className":12936},[12713],[12694,12938,12834,12940],{"className":12939},[5518],[5516,12941,12943],{"className":12942},[12713],"6",[12694,12945,12842,12947],{"className":12946},[5518],[5516,12948,10443],{"className":12949},[12729],[12694,12951,12849,12953],{"className":12952},[5518],[5516,12954,12956],{"className":12955},[12729],"1.5",[5375,12958],{},[5378,12960,12962],{"id":12961},"порівняння-з-іншими-структурами-даних","Порівняння з іншими структурами даних",[5844,12964,12965,12988],{},[5847,12966,12967],{},[5850,12968,12969,12972,12976,12979,12982,12985],{},[5853,12970,12971],{"align":5855},"Структура даних",[5853,12973,12975],{"align":12974},"center","Вставка (середня)",[5853,12977,12978],{"align":12974},"Пошук (середня)",[5853,12980,12981],{"align":12974},"Видалення (середня)",[5853,12983,12984],{"align":12974},"Упорядкованість",[5853,12986,12987],{"align":5855},"Витрати пам'яті",[5864,12989,12990,13010,13029,13047,13066],{},[5850,12991,12992,12997,13000,13002,13004,13007],{},[5869,12993,12994],{"align":5855},[5271,12995,12996],{},"Масив (невідсортований)",[5869,12998,12999],{"align":12974},"O(1)*",[5869,13001,5408],{"align":12974},[5869,13003,5408],{"align":12974},[5869,13005,13006],{"align":12974},"❌",[5869,13008,13009],{"align":5855},"Низькі (компактний)",[5850,13011,13012,13017,13019,13021,13023,13026],{},[5869,13013,13014],{"align":5855},[5271,13015,13016],{},"Масив (відсортований)",[5869,13018,5408],{"align":12974},[5869,13020,5424],{"align":12974},[5869,13022,5408],{"align":12974},[5869,13024,13025],{"align":12974},"✅",[5869,13027,13028],{"align":5855},"Низькі",[5850,13030,13031,13036,13038,13040,13042,13044],{},[5869,13032,13033],{"align":5855},[5271,13034,13035],{},"Зв'язаний список",[5869,13037,5332],{"align":12974},[5869,13039,5408],{"align":12974},[5869,13041,5408],{"align":12974},[5869,13043,13006],{"align":12974},[5869,13045,13046],{"align":5855},"Високі (покажчики)",[5850,13048,13049,13054,13056,13058,13060,13063],{},[5869,13050,13051],{"align":5855},[5271,13052,13053],{},"Бінарне дерево пошуку",[5869,13055,5424],{"align":12974},[5869,13057,5424],{"align":12974},[5869,13059,5424],{"align":12974},[5869,13061,13062],{"align":12974},"✅ (in-order обхід)",[5869,13064,13065],{"align":5855},"Середні",[5850,13067,13068,13073,13077,13081,13085,13087],{},[5869,13069,13070],{"align":5855},[5271,13071,13072],{},"Хеш-таблиця",[5869,13074,13075],{"align":12974},[5271,13076,5332],{},[5869,13078,13079],{"align":12974},[5271,13080,5332],{},[5869,13082,13083],{"align":12974},[5271,13084,5332],{},[5869,13086,13006],{"align":12974},[5869,13088,13089],{"align":5855},"Високі (порожні бакети)",[5383,13091,13092],{},[5291,13093,13094],{},"* Вставка у кінець масиву O(1), але вставка в довільну позицію O(n) через зсув.",[5465,13096,13098,13109,13120,13125],{"title":13097},"Коли обирати хеш-таблицю?",[5383,13099,13100,13101,13104,13105,13108],{},"Хеш-таблиця — ",[5271,13102,13103],{},"найшвидша структура для пошуку за ключем",", якщо не потрібна ",[5271,13106,13107],{},"впорядкованість",". Якщо потрібно:",[5264,13110,13111,13114,13117],{},[5267,13112,13113],{},"Зберігати асоціативні дані (словник, кеш, база даних у пам'яті).",[5267,13115,13116],{},"Перевіряти наявність елемента за O(1) (унікальність, дедуплікація).",[5267,13118,13119],{},"Підраховувати частоту елементів (гістограма).",[5383,13121,13122],{},[5271,13123,13124],{},"Не обирайте хеш-таблицю, якщо:",[5264,13126,13127,13134],{},[5267,13128,13129,13130,13133],{},"Потрібно ітерувати елементи у відсортованому порядку → використовуйте ",[5364,13131,13132],{},"std::map"," (збалансоване дерево).",[5267,13135,13136],{},"Критично економити пам'ять → хеш-таблиця витрачає багато на порожні бакети та покажчики ланцюжків.",[5375,13138],{},[5378,13140,13142],{"id":13141},"альтернативні-методи-розвязання-колізій","Альтернативні методи розв'язання колізій",[5770,13144,13146],{"id":13145},"відкрита-адресація-open-addressing","Відкрита адресація (Open Addressing)",[5383,13148,13149,13150,13153],{},"Замість зв'язаних списків, всі елементи зберігаються ",[5271,13151,13152],{},"безпосередньо у масиві бакетів",". Якщо бакет зайнятий, шукаємо наступний вільний за певним алгоритмом:",[5728,13155,13156,13168,13179],{},[5267,13157,13158,5289,13161,13164,13165],{},[5271,13159,13160],{},"Лінійне пробування",[5291,13162,13163],{},"linear probing","): ",[5364,13166,13167],{},"index, index+1, index+2, ...",[5267,13169,13170,5289,13173,13164,13176],{},[5271,13171,13172],{},"Квадратичне пробування",[5291,13174,13175],{},"quadratic probing",[5364,13177,13178],{},"index, index+1², index+2², index+3², ...",[5267,13180,13181,5289,13184,13187],{},[5271,13182,13183],{},"Подвійне хешування",[5291,13185,13186],{},"double hashing","): використовуємо другу хеш-функцію для обчислення кроку.",[5383,13189,13190,13193],{},[5271,13191,13192],{},"Переваги:"," Не потрібні додаткові покажчики → кращий cache locality, менші витрати пам'яті.",[5383,13195,13196,13199],{},[5271,13197,13198],{},"Недоліки:"," Складніше видалення (потрібні маркери \"deleted\"), проблема кластеризації при високому λ.",[5770,13201,13203],{"id":13202},"ідеальне-хешування-perfect-hashing","Ідеальне хешування (Perfect Hashing)",[5383,13205,13206,13207,13210,13211,13214],{},"Якщо множина ключів ",[5271,13208,13209],{},"статична"," (не змінюється), можна побудувати хеш-функцію ",[5271,13212,13213],{},"без колізій",". Застосовується у компіляторах (таблиці ключових слів) та базах даних.",[5770,13216,13218],{"id":13217},"cuckoo-hashing","Cuckoo Hashing",[5383,13220,13221,13222,11026,13225,13228],{},"Використовує ",[5271,13223,13224],{},"дві хеш-функції",[5271,13226,13227],{},"дві таблиці",". Кожен ключ може бути у одній із двох позицій. Якщо обидві зайняті, \"виштовхуємо\" старий елемент у його альтернативну позицію. Гарантує O(1) пошук у гіршому випадку (не середньому!).",[5375,13230],{},[5378,13232,13234],{"id":13233},"практичні-завдання","Практичні завдання",[13236,13237,13238,13281,13839,13917],"accordion",{},[13239,13240,13243,13249,13254,13260,13265,13271],"accordion-item",{"icon":13241,"label":13242},"i-lucide-clipboard-list","📋 Завдання 1: Підрахунок частоти слів",[5383,13244,13245,13248],{},[5271,13246,13247],{},"Умова:"," Дано текст (рядок). Підрахуйте частоту появи кожного слова (без урахування регістру та розділових знаків) і виведіть 5 найпопулярніших слів.",[5383,13250,13251],{},[5271,13252,13253],{},"Вхідні дані:",[5507,13255,13258],{"className":13256,"code":13257,"language":6133},[6131],"The quick brown fox jumps over the lazy dog. The dog was really lazy.\n",[5364,13259,13257],{"__ignoreMap":5512},[5383,13261,13262],{},[5271,13263,13264],{},"Очікуваний вихід:",[5507,13266,13269],{"className":13267,"code":13268,"language":6133},[6131],"the: 3\ndog: 2\nlazy: 2\nquick: 1\nbrown: 1\n",[5364,13270,13268],{"__ignoreMap":5512},[5383,13272,13273,13276,13277,13280],{},[5271,13274,13275],{},"Підказка:"," Використайте ",[5364,13278,13279],{},"HashTable\u003Cstd::string, int>"," для збереження лічильників.",[13239,13282,13285,13824],{"icon":13283,"label":13284},"i-lucide-check-circle","✅ Розв'язок завдання 1",[5507,13286,13288],{"className":5796,"code":13287,"language":5798,"meta":5512,"style":5512},"#include \"HashTable.h\"\n#include \u003Ciostream>\n#include \u003Csstream>\n#include \u003Calgorithm>\n#include \u003Cvector>\n#include \u003Ccctype>\n\n\u002F\u002F Функція для нормалізації слова: видалення розділових знаків та приведення до нижнього регістру\nstd::string normalizeWord(const std::string& word)\n{\n    std::string normalized;\n    for (char c : word)\n    {\n        if (std::isalpha(c))\n        {\n            normalized += std::tolower(c);\n        }\n    }\n    return normalized;\n}\n\nint main()\n{\n    std::string text = \"The quick brown fox jumps over the lazy dog. The dog was really lazy.\";\n    \n    \u002F\u002F Хеш-таблиця для підрахунку частоти\n    HashTable\u003Cstd::string, int> wordCount;\n    \n    \u002F\u002F Розбиваємо текст на слова\n    std::istringstream stream(text);\n    std::string word;\n    \n    while (stream >> word)\n    {\n        std::string normalized = normalizeWord(word);\n        if (!normalized.empty())\n        {\n            int* count = wordCount.find(normalized);\n            if (count != nullptr)\n            {\n                *count += 1;  \u002F\u002F Збільшуємо лічильник\n            }\n            else\n            {\n                wordCount.insert(normalized, 1);  \u002F\u002F Перша поява\n            }\n        }\n    }\n    \n    std::cout \u003C\u003C \"Частота слів:\\n\";\n    std::cout \u003C\u003C \"Всього унікальних слів: \" \u003C\u003C wordCount.size() \u003C\u003C '\\n';\n    \n    \u002F\u002F Примітка: для виведення топ-5 потрібно зібрати всі пари у вектор та відсортувати\n    \u002F\u002F (у реальній хеш-таблиці немає ітераторів — це спрощення для демонстрації концепції)\n    \n    return 0;\n}\n",[5364,13289,13290,13296,13302,13309,13316,13322,13329,13333,13338,13365,13369,13382,13398,13402,13422,13426,13446,13450,13454,13462,13466,13470,13478,13482,13500,13504,13509,13532,13536,13541,13559,13571,13575,13591,13595,13616,13634,13638,13659,13673,13677,13694,13698,13702,13706,13728,13732,13736,13740,13744,13763,13794,13798,13803,13808,13812,13820],{"__ignoreMap":5512},[5516,13291,13292,13294],{"class":5518,"line":5519},[5516,13293,6733],{"class":6029},[5516,13295,11702],{"class":6189},[5516,13297,13298,13300],{"class":5518,"line":5525},[5516,13299,6733],{"class":6029},[5516,13301,6736],{"class":6189},[5516,13303,13304,13306],{"class":5518,"line":5531},[5516,13305,6733],{"class":6029},[5516,13307,13308],{"class":6189}," \u003Csstream>\n",[5516,13310,13311,13313],{"class":5518,"line":5537},[5516,13312,6733],{"class":6029},[5516,13314,13315],{"class":6189}," \u003Calgorithm>\n",[5516,13317,13318,13320],{"class":5518,"line":5544},[5516,13319,6733],{"class":6029},[5516,13321,6743],{"class":6189},[5516,13323,13324,13326],{"class":5518,"line":5550},[5516,13325,6733],{"class":6029},[5516,13327,13328],{"class":6189}," \u003Ccctype>\n",[5516,13330,13331],{"class":5518,"line":5556},[5516,13332,5541],{"emptyLinePlaceholder":5540},[5516,13334,13335],{"class":5518,"line":5562},[5516,13336,13337],{"class":6018},"\u002F\u002F Функція для нормалізації слова: видалення розділових знаків та приведення до нижнього регістру\n",[5516,13339,13340,13342,13344,13346,13349,13351,13353,13355,13357,13359,13361,13363],{"class":5518,"line":5568},[5516,13341,8072],{"class":5820},[5516,13343,5824],{"class":5813},[5516,13345,5827],{"class":5820},[5516,13347,13348],{"class":5809}," normalizeWord",[5516,13350,5814],{"class":5813},[5516,13352,5817],{"class":5805},[5516,13354,5821],{"class":5820},[5516,13356,5824],{"class":5813},[5516,13358,5827],{"class":5820},[5516,13360,5830],{"class":5805},[5516,13362,12131],{"class":5833},[5516,13364,5974],{"class":5813},[5516,13366,13367],{"class":5518,"line":5574},[5516,13368,5979],{"class":5813},[5516,13370,13371,13373,13375,13377,13380],{"class":5518,"line":5580},[5516,13372,6929],{"class":5820},[5516,13374,5824],{"class":5813},[5516,13376,5827],{"class":5820},[5516,13378,13379],{"class":5833}," normalized",[5516,13381,5996],{"class":5813},[5516,13383,13384,13386,13388,13390,13392,13394,13396],{"class":5518,"line":5586},[5516,13385,6030],{"class":6029},[5516,13387,5289],{"class":5813},[5516,13389,6035],{"class":5805},[5516,13391,6038],{"class":5833},[5516,13393,6041],{"class":5813},[5516,13395,12169],{"class":5833},[5516,13397,5974],{"class":5813},[5516,13399,13400],{"class":5518,"line":5592},[5516,13401,6051],{"class":5813},[5516,13403,13404,13406,13408,13410,13412,13415,13417,13419],{"class":5518,"line":5598},[5516,13405,8544],{"class":6029},[5516,13407,5289],{"class":5813},[5516,13409,8072],{"class":5820},[5516,13411,5824],{"class":5813},[5516,13413,13414],{"class":5809},"isalpha",[5516,13416,5814],{"class":5813},[5516,13418,6084],{"class":5833},[5516,13420,13421],{"class":5813},"))\n",[5516,13423,13424],{"class":5518,"line":5604},[5516,13425,8563],{"class":5813},[5516,13427,13428,13431,13433,13435,13437,13440,13442,13444],{"class":5518,"line":5609},[5516,13429,13430],{"class":5833},"            normalized",[5516,13432,11311],{"class":5813},[5516,13434,8072],{"class":5820},[5516,13436,5824],{"class":5813},[5516,13438,13439],{"class":5809},"tolower",[5516,13441,5814],{"class":5813},[5516,13443,6084],{"class":5833},[5516,13445,5837],{"class":5813},[5516,13447,13448],{"class":5518,"line":5615},[5516,13449,8598],{"class":5813},[5516,13451,13452],{"class":5518,"line":5621},[5516,13453,6091],{"class":5813},[5516,13455,13456,13458,13460],{"class":5518,"line":5627},[5516,13457,6100],{"class":6029},[5516,13459,13379],{"class":5833},[5516,13461,5996],{"class":5813},[5516,13463,13464],{"class":5518,"line":5632},[5516,13465,5601],{"class":5813},[5516,13467,13468],{"class":5518,"line":5638},[5516,13469,5541],{"emptyLinePlaceholder":5540},[5516,13471,13472,13474,13476],{"class":5518,"line":5644},[5516,13473,11717],{"class":5805},[5516,13475,11720],{"class":5809},[5516,13477,7793],{"class":5813},[5516,13479,13480],{"class":5518,"line":5650},[5516,13481,5979],{"class":5813},[5516,13483,13484,13486,13488,13490,13493,13495,13498],{"class":5518,"line":5656},[5516,13485,6929],{"class":5820},[5516,13487,5824],{"class":5813},[5516,13489,5827],{"class":5820},[5516,13491,13492],{"class":5833}," text",[5516,13494,5989],{"class":5813},[5516,13496,13497],{"class":6189},"\"The quick brown fox jumps over the lazy dog. The dog was really lazy.\"",[5516,13499,5996],{"class":5813},[5516,13501,13502],{"class":5518,"line":5662},[5516,13503,6024],{"class":5813},[5516,13505,13506],{"class":5518,"line":5667},[5516,13507,13508],{"class":6018},"    \u002F\u002F Хеш-таблиця для підрахунку частоти\n",[5516,13510,13511,13513,13515,13517,13519,13521,13523,13525,13527,13530],{"class":5518,"line":5673},[5516,13512,7192],{"class":5820},[5516,13514,6076],{"class":5813},[5516,13516,8072],{"class":5820},[5516,13518,5824],{"class":5813},[5516,13520,5827],{"class":5820},[5516,13522,6541],{"class":5813},[5516,13524,11717],{"class":5805},[5516,13526,9545],{"class":5813},[5516,13528,13529],{"class":5833},"wordCount",[5516,13531,5996],{"class":5813},[5516,13533,13534],{"class":5518,"line":5679},[5516,13535,6024],{"class":5813},[5516,13537,13538],{"class":5518,"line":5685},[5516,13539,13540],{"class":6018},"    \u002F\u002F Розбиваємо текст на слова\n",[5516,13542,13543,13545,13547,13550,13553,13555,13557],{"class":5518,"line":5690},[5516,13544,6929],{"class":5820},[5516,13546,5824],{"class":5813},[5516,13548,13549],{"class":5820},"istringstream",[5516,13551,13552],{"class":5809}," stream",[5516,13554,5814],{"class":5813},[5516,13556,6133],{"class":5833},[5516,13558,5837],{"class":5813},[5516,13560,13561,13563,13565,13567,13569],{"class":5518,"line":5695},[5516,13562,6929],{"class":5820},[5516,13564,5824],{"class":5813},[5516,13566,5827],{"class":5820},[5516,13568,12131],{"class":5833},[5516,13570,5996],{"class":5813},[5516,13572,13573],{"class":5518,"line":6996},[5516,13574,6024],{"class":5813},[5516,13576,13577,13579,13581,13584,13587,13589],{"class":5518,"line":7017},[5516,13578,8523],{"class":6029},[5516,13580,5289],{"class":5813},[5516,13582,13583],{"class":5833},"stream",[5516,13585,13586],{"class":5813}," >> ",[5516,13588,12169],{"class":5833},[5516,13590,5974],{"class":5813},[5516,13592,13593],{"class":5518,"line":7022},[5516,13594,6051],{"class":5813},[5516,13596,13597,13599,13601,13603,13605,13607,13610,13612,13614],{"class":5518,"line":7028},[5516,13598,12147],{"class":5820},[5516,13600,5824],{"class":5813},[5516,13602,5827],{"class":5820},[5516,13604,13379],{"class":5833},[5516,13606,5989],{"class":5813},[5516,13608,13609],{"class":5809},"normalizeWord",[5516,13611,5814],{"class":5813},[5516,13613,12169],{"class":5833},[5516,13615,5837],{"class":5813},[5516,13617,13618,13620,13623,13626,13628,13631],{"class":5518,"line":7053},[5516,13619,8544],{"class":6029},[5516,13621,13622],{"class":5813}," (!",[5516,13624,13625],{"class":5833},"normalized",[5516,13627,6211],{"class":5813},[5516,13629,13630],{"class":5809},"empty",[5516,13632,13633],{"class":5813},"())\n",[5516,13635,13636],{"class":5518,"line":7077},[5516,13637,8563],{"class":5813},[5516,13639,13640,13643,13645,13647,13649,13651,13653,13655,13657],{"class":5518,"line":7089},[5516,13641,13642],{"class":5805},"            int*",[5516,13644,6967],{"class":5833},[5516,13646,5989],{"class":5813},[5516,13648,13529],{"class":5833},[5516,13650,6211],{"class":5813},[5516,13652,9120],{"class":5809},[5516,13654,5814],{"class":5813},[5516,13656,13625],{"class":5833},[5516,13658,5837],{"class":5813},[5516,13660,13661,13663,13665,13667,13669,13671],{"class":5518,"line":7119},[5516,13662,9924],{"class":6029},[5516,13664,5289],{"class":5813},[5516,13666,7543],{"class":5833},[5516,13668,8531],{"class":5813},[5516,13670,6666],{"class":5805},[5516,13672,5974],{"class":5813},[5516,13674,13675],{"class":5518,"line":7124},[5516,13676,9940],{"class":5813},[5516,13678,13679,13682,13684,13686,13689,13691],{"class":5518,"line":7130},[5516,13680,13681],{"class":5813},"                *",[5516,13683,7543],{"class":5833},[5516,13685,11311],{"class":5813},[5516,13687,13688],{"class":5992},"1",[5516,13690,6015],{"class":5813},[5516,13692,13693],{"class":6018},"  \u002F\u002F Збільшуємо лічильник\n",[5516,13695,13696],{"class":5518,"line":7136},[5516,13697,9969],{"class":5813},[5516,13699,13700],{"class":5518,"line":7159},[5516,13701,9974],{"class":6029},[5516,13703,13704],{"class":5518,"line":7164},[5516,13705,9940],{"class":5813},[5516,13707,13708,13711,13713,13715,13717,13719,13721,13723,13725],{"class":5518,"line":7170},[5516,13709,13710],{"class":5833},"                wordCount",[5516,13712,6211],{"class":5813},[5516,13714,8432],{"class":5809},[5516,13716,5814],{"class":5813},[5516,13718,13625],{"class":5833},[5516,13720,6541],{"class":5813},[5516,13722,13688],{"class":5992},[5516,13724,11788],{"class":5813},[5516,13726,13727],{"class":6018},"  \u002F\u002F Перша поява\n",[5516,13729,13730],{"class":5518,"line":7178},[5516,13731,9969],{"class":5813},[5516,13733,13734],{"class":5518,"line":7183},[5516,13735,8598],{"class":5813},[5516,13737,13738],{"class":5518,"line":7189},[5516,13739,6091],{"class":5813},[5516,13741,13742],{"class":5518,"line":7211},[5516,13743,6024],{"class":5813},[5516,13745,13746,13748,13750,13752,13754,13757,13759,13761],{"class":5518,"line":7235},[5516,13747,6929],{"class":5820},[5516,13749,5824],{"class":5813},[5516,13751,9629],{"class":5833},[5516,13753,9632],{"class":5813},[5516,13755,13756],{"class":6189},"\"Частота слів:",[5516,13758,9649],{"class":9648},[5516,13760,9687],{"class":6189},[5516,13762,5996],{"class":5813},[5516,13764,13765,13767,13769,13771,13773,13776,13778,13780,13782,13784,13786,13788,13790,13792],{"class":5518,"line":7240},[5516,13766,6929],{"class":5820},[5516,13768,5824],{"class":5813},[5516,13770,9629],{"class":5833},[5516,13772,9632],{"class":5813},[5516,13774,13775],{"class":6189},"\"Всього унікальних слів: \"",[5516,13777,9632],{"class":5813},[5516,13779,13529],{"class":5833},[5516,13781,6211],{"class":5813},[5516,13783,10930],{"class":5809},[5516,13785,11520],{"class":5813},[5516,13787,9645],{"class":6189},[5516,13789,9649],{"class":9648},[5516,13791,9645],{"class":6189},[5516,13793,5996],{"class":5813},[5516,13795,13796],{"class":5518,"line":7246},[5516,13797,6024],{"class":5813},[5516,13799,13800],{"class":5518,"line":7276},[5516,13801,13802],{"class":6018},"    \u002F\u002F Примітка: для виведення топ-5 потрібно зібрати всі пари у вектор та відсортувати\n",[5516,13804,13805],{"class":5518,"line":7281},[5516,13806,13807],{"class":6018},"    \u002F\u002F (у реальній хеш-таблиці немає ітераторів — це спрощення для демонстрації концепції)\n",[5516,13809,13810],{"class":5518,"line":7287},[5516,13811,6024],{"class":5813},[5516,13813,13814,13816,13818],{"class":5518,"line":7308},[5516,13815,6100],{"class":6029},[5516,13817,12682],{"class":5992},[5516,13819,5996],{"class":5813},[5516,13821,13822],{"class":5518,"line":7313},[5516,13823,5601],{"class":5813},[5465,13825,13826,13829,13830,13832,13833,13836,13837,6211],{},[5271,13827,13828],{},"Обмеження:"," Наша хеш-таблиця не має ітераторів, тому не можемо легко обійти всі елементи. У продакшн-коді використовувалась би ",[5364,13831,7558],{}," з ітераторами, або ми б додали метод ",[5364,13834,13835],{},"forEach()"," до класу ",[5364,13838,7617],{},[13239,13840,13842,13860,13900,13906],{"icon":13241,"label":13841},"📋 Завдання 2: Перевірка ізоморфності рядків",[5383,13843,13844,13846,13847,11026,13850,13853,13854,13856,13857,13859],{},[5271,13845,13247],{}," Два рядки ",[5364,13848,13849],{},"s",[5364,13851,13852],{},"t"," ізоморфні, якщо символи у ",[5364,13855,13849],{}," можна замінити (один-до-одного) на символи ",[5364,13858,13852],{},", зберігаючи порядок появи. Наприклад:",[5264,13861,13862,13878],{},[5267,13863,13864,11026,13867,13870,13871,6541,13874,13877],{},[5364,13865,13866],{},"\"egg\"",[5364,13868,13869],{},"\"add\""," — ізоморфні (",[5364,13872,13873],{},"e→a",[5364,13875,13876],{},"g→d",")",[5267,13879,13880,11026,13883,5409,13886,13889,13890,13893,13894,11026,13896,13899],{},[5364,13881,13882],{},"\"foo\"",[5364,13884,13885],{},"\"bar\"",[5271,13887,13888],{},"не"," ізоморфні (",[5364,13891,13892],{},"o"," відображається на ",[5364,13895,13892],{},[5364,13897,13898],{},"a"," одночасно)",[5383,13901,13902,13903,6211],{},"Реалізуйте функцію ",[5364,13904,13905],{},"bool isIsomorphic(std::string s, std::string t)",[5383,13907,13908,13910,13911,11026,13914,6211],{},[5271,13909,13275],{}," Використайте дві хеш-таблиці для відстеження відображень ",[5364,13912,13913],{},"s→t",[5364,13915,13916],{},"t→s",[13239,13918,13920,14623],{"icon":13283,"label":13919},"✅ Розв'язок завдання 2",[5507,13921,13923],{"className":5796,"code":13922,"language":5798,"meta":5512,"style":5512},"#include \"HashTable.h\"\n#include \u003Ciostream>\n\nbool isIsomorphic(const std::string& s, const std::string& t)\n{\n    if (s.length() != t.length())\n    {\n        return false;\n    }\n    \n    HashTable\u003Cchar, char> mapStoT;\n    HashTable\u003Cchar, char> mapTtoS;\n    \n    for (size_t i = 0; i \u003C s.length(); ++i)\n    {\n        char charS = s[i];\n        char charT = t[i];\n        \n        \u002F\u002F Перевірка відображення s→t\n        char* mappedT = mapStoT.find(charS);\n        if (mappedT != nullptr)\n        {\n            if (*mappedT != charT)\n            {\n                return false;  \u002F\u002F Символ s вже відображений на інший символ t\n            }\n        }\n        else\n        {\n            mapStoT.insert(charS, charT);\n        }\n        \n        \u002F\u002F Перевірка відображення t→s (має бути взаємно однозначним)\n        char* mappedS = mapTtoS.find(charT);\n        if (mappedS != nullptr)\n        {\n            if (*mappedS != charS)\n            {\n                return false;  \u002F\u002F Символ t вже відображений на інший символ s\n            }\n        }\n        else\n        {\n            mapTtoS.insert(charT, charS);\n        }\n    }\n    \n    return true;\n}\n\nint main()\n{\n    std::cout \u003C\u003C std::boolalpha;\n    std::cout \u003C\u003C \"isIsomorphic(\\\"egg\\\", \\\"add\\\"): \" \u003C\u003C isIsomorphic(\"egg\", \"add\") \u003C\u003C '\\n';   \u002F\u002F true\n    std::cout \u003C\u003C \"isIsomorphic(\\\"foo\\\", \\\"bar\\\"): \" \u003C\u003C isIsomorphic(\"foo\", \"bar\") \u003C\u003C '\\n';   \u002F\u002F false\n    std::cout \u003C\u003C \"isIsomorphic(\\\"paper\\\", \\\"title\\\"): \" \u003C\u003C isIsomorphic(\"paper\", \"title\") \u003C\u003C '\\n'; \u002F\u002F true\n    \n    return 0;\n}\n",[5364,13924,13925,13931,13937,13941,13980,13984,14008,14012,14020,14024,14028,14047,14066,14070,14103,14107,14125,14142,14146,14151,14174,14189,14193,14209,14213,14225,14229,14233,14237,14241,14260,14264,14268,14273,14294,14309,14313,14327,14331,14342,14346,14350,14354,14358,14377,14381,14385,14389,14397,14401,14405,14413,14417,14436,14495,14550,14607,14611,14619],{"__ignoreMap":5512},[5516,13926,13927,13929],{"class":5518,"line":5519},[5516,13928,6733],{"class":6029},[5516,13930,11702],{"class":6189},[5516,13932,13933,13935],{"class":5518,"line":5525},[5516,13934,6733],{"class":6029},[5516,13936,6736],{"class":6189},[5516,13938,13939],{"class":5518,"line":5531},[5516,13940,5541],{"emptyLinePlaceholder":5540},[5516,13942,13943,13945,13948,13950,13952,13954,13956,13958,13960,13963,13965,13967,13969,13971,13973,13975,13978],{"class":5518,"line":5537},[5516,13944,9760],{"class":5805},[5516,13946,13947],{"class":5809}," isIsomorphic",[5516,13949,5814],{"class":5813},[5516,13951,5817],{"class":5805},[5516,13953,5821],{"class":5820},[5516,13955,5824],{"class":5813},[5516,13957,5827],{"class":5820},[5516,13959,5830],{"class":5805},[5516,13961,13962],{"class":5833}," s",[5516,13964,6541],{"class":5813},[5516,13966,5817],{"class":5805},[5516,13968,5821],{"class":5820},[5516,13970,5824],{"class":5813},[5516,13972,5827],{"class":5820},[5516,13974,5830],{"class":5805},[5516,13976,13977],{"class":5833}," t",[5516,13979,5974],{"class":5813},[5516,13981,13982],{"class":5518,"line":5544},[5516,13983,5979],{"class":5813},[5516,13985,13986,13988,13990,13992,13994,13997,14000,14002,14004,14006],{"class":5518,"line":5550},[5516,13987,7690],{"class":6029},[5516,13989,5289],{"class":5813},[5516,13991,13849],{"class":5833},[5516,13993,6211],{"class":5813},[5516,13995,13996],{"class":5809},"length",[5516,13998,13999],{"class":5813},"() != ",[5516,14001,13852],{"class":5833},[5516,14003,6211],{"class":5813},[5516,14005,13996],{"class":5809},[5516,14007,13633],{"class":5813},[5516,14009,14010],{"class":5518,"line":5556},[5516,14011,6051],{"class":5813},[5516,14013,14014,14016,14018],{"class":5518,"line":5562},[5516,14015,7959],{"class":6029},[5516,14017,10095],{"class":5805},[5516,14019,5996],{"class":5813},[5516,14021,14022],{"class":5518,"line":5568},[5516,14023,6091],{"class":5813},[5516,14025,14026],{"class":5518,"line":5574},[5516,14027,6024],{"class":5813},[5516,14029,14030,14032,14034,14036,14038,14040,14042,14045],{"class":5518,"line":5580},[5516,14031,7192],{"class":5820},[5516,14033,6076],{"class":5813},[5516,14035,6035],{"class":5805},[5516,14037,6541],{"class":5813},[5516,14039,6035],{"class":5805},[5516,14041,9545],{"class":5813},[5516,14043,14044],{"class":5833},"mapStoT",[5516,14046,5996],{"class":5813},[5516,14048,14049,14051,14053,14055,14057,14059,14061,14064],{"class":5518,"line":5586},[5516,14050,7192],{"class":5820},[5516,14052,6076],{"class":5813},[5516,14054,6035],{"class":5805},[5516,14056,6541],{"class":5813},[5516,14058,6035],{"class":5805},[5516,14060,9545],{"class":5813},[5516,14062,14063],{"class":5833},"mapTtoS",[5516,14065,5996],{"class":5813},[5516,14067,14068],{"class":5518,"line":5592},[5516,14069,6024],{"class":5813},[5516,14071,14072,14074,14076,14078,14080,14082,14084,14086,14088,14090,14092,14094,14096,14099,14101],{"class":5518,"line":5598},[5516,14073,6030],{"class":6029},[5516,14075,5289],{"class":5813},[5516,14077,5806],{"class":5805},[5516,14079,7813],{"class":5833},[5516,14081,5989],{"class":5813},[5516,14083,5993],{"class":5992},[5516,14085,7820],{"class":5813},[5516,14087,7823],{"class":5833},[5516,14089,7826],{"class":5813},[5516,14091,13849],{"class":5833},[5516,14093,6211],{"class":5813},[5516,14095,13996],{"class":5809},[5516,14097,14098],{"class":5813},"(); ++",[5516,14100,7823],{"class":5833},[5516,14102,5974],{"class":5813},[5516,14104,14105],{"class":5518,"line":5604},[5516,14106,6051],{"class":5813},[5516,14108,14109,14112,14115,14117,14119,14121,14123],{"class":5518,"line":5609},[5516,14110,14111],{"class":5805},"        char",[5516,14113,14114],{"class":5833}," charS",[5516,14116,5989],{"class":5813},[5516,14118,13849],{"class":5833},[5516,14120,7851],{"class":5813},[5516,14122,7823],{"class":5833},[5516,14124,8518],{"class":5813},[5516,14126,14127,14129,14132,14134,14136,14138,14140],{"class":5518,"line":5615},[5516,14128,14111],{"class":5805},[5516,14130,14131],{"class":5833}," charT",[5516,14133,5989],{"class":5813},[5516,14135,13852],{"class":5833},[5516,14137,7851],{"class":5813},[5516,14139,7823],{"class":5833},[5516,14141,8518],{"class":5813},[5516,14143,14144],{"class":5518,"line":5621},[5516,14145,10055],{"class":5813},[5516,14147,14148],{"class":5518,"line":5627},[5516,14149,14150],{"class":6018},"        \u002F\u002F Перевірка відображення s→t\n",[5516,14152,14153,14156,14159,14161,14163,14165,14167,14169,14172],{"class":5518,"line":5632},[5516,14154,14155],{"class":5805},"        char*",[5516,14157,14158],{"class":5833}," mappedT",[5516,14160,5989],{"class":5813},[5516,14162,14044],{"class":5833},[5516,14164,6211],{"class":5813},[5516,14166,9120],{"class":5809},[5516,14168,5814],{"class":5813},[5516,14170,14171],{"class":5833},"charS",[5516,14173,5837],{"class":5813},[5516,14175,14176,14178,14180,14183,14185,14187],{"class":5518,"line":5638},[5516,14177,8544],{"class":6029},[5516,14179,5289],{"class":5813},[5516,14181,14182],{"class":5833},"mappedT",[5516,14184,8531],{"class":5813},[5516,14186,6666],{"class":5805},[5516,14188,5974],{"class":5813},[5516,14190,14191],{"class":5518,"line":5644},[5516,14192,8563],{"class":5813},[5516,14194,14195,14197,14200,14202,14204,14207],{"class":5518,"line":5650},[5516,14196,9924],{"class":6029},[5516,14198,14199],{"class":5813}," (*",[5516,14201,14182],{"class":5833},[5516,14203,8531],{"class":5813},[5516,14205,14206],{"class":5833},"charT",[5516,14208,5974],{"class":5813},[5516,14210,14211],{"class":5518,"line":5656},[5516,14212,9940],{"class":5813},[5516,14214,14215,14218,14220,14222],{"class":5518,"line":5662},[5516,14216,14217],{"class":6029},"                return",[5516,14219,10095],{"class":5805},[5516,14221,6015],{"class":5813},[5516,14223,14224],{"class":6018},"  \u002F\u002F Символ s вже відображений на інший символ t\n",[5516,14226,14227],{"class":5518,"line":5667},[5516,14228,9969],{"class":5813},[5516,14230,14231],{"class":5518,"line":5673},[5516,14232,8598],{"class":5813},[5516,14234,14235],{"class":5518,"line":5679},[5516,14236,11299],{"class":6029},[5516,14238,14239],{"class":5518,"line":5685},[5516,14240,8563],{"class":5813},[5516,14242,14243,14246,14248,14250,14252,14254,14256,14258],{"class":5518,"line":5690},[5516,14244,14245],{"class":5833},"            mapStoT",[5516,14247,6211],{"class":5813},[5516,14249,8432],{"class":5809},[5516,14251,5814],{"class":5813},[5516,14253,14171],{"class":5833},[5516,14255,6541],{"class":5813},[5516,14257,14206],{"class":5833},[5516,14259,5837],{"class":5813},[5516,14261,14262],{"class":5518,"line":5695},[5516,14263,8598],{"class":5813},[5516,14265,14266],{"class":5518,"line":6996},[5516,14267,10055],{"class":5813},[5516,14269,14270],{"class":5518,"line":7017},[5516,14271,14272],{"class":6018},"        \u002F\u002F Перевірка відображення t→s (має бути взаємно однозначним)\n",[5516,14274,14275,14277,14280,14282,14284,14286,14288,14290,14292],{"class":5518,"line":7022},[5516,14276,14155],{"class":5805},[5516,14278,14279],{"class":5833}," mappedS",[5516,14281,5989],{"class":5813},[5516,14283,14063],{"class":5833},[5516,14285,6211],{"class":5813},[5516,14287,9120],{"class":5809},[5516,14289,5814],{"class":5813},[5516,14291,14206],{"class":5833},[5516,14293,5837],{"class":5813},[5516,14295,14296,14298,14300,14303,14305,14307],{"class":5518,"line":7028},[5516,14297,8544],{"class":6029},[5516,14299,5289],{"class":5813},[5516,14301,14302],{"class":5833},"mappedS",[5516,14304,8531],{"class":5813},[5516,14306,6666],{"class":5805},[5516,14308,5974],{"class":5813},[5516,14310,14311],{"class":5518,"line":7053},[5516,14312,8563],{"class":5813},[5516,14314,14315,14317,14319,14321,14323,14325],{"class":5518,"line":7077},[5516,14316,9924],{"class":6029},[5516,14318,14199],{"class":5813},[5516,14320,14302],{"class":5833},[5516,14322,8531],{"class":5813},[5516,14324,14171],{"class":5833},[5516,14326,5974],{"class":5813},[5516,14328,14329],{"class":5518,"line":7089},[5516,14330,9940],{"class":5813},[5516,14332,14333,14335,14337,14339],{"class":5518,"line":7119},[5516,14334,14217],{"class":6029},[5516,14336,10095],{"class":5805},[5516,14338,6015],{"class":5813},[5516,14340,14341],{"class":6018},"  \u002F\u002F Символ t вже відображений на інший символ s\n",[5516,14343,14344],{"class":5518,"line":7124},[5516,14345,9969],{"class":5813},[5516,14347,14348],{"class":5518,"line":7130},[5516,14349,8598],{"class":5813},[5516,14351,14352],{"class":5518,"line":7136},[5516,14353,11299],{"class":6029},[5516,14355,14356],{"class":5518,"line":7159},[5516,14357,8563],{"class":5813},[5516,14359,14360,14363,14365,14367,14369,14371,14373,14375],{"class":5518,"line":7164},[5516,14361,14362],{"class":5833},"            mapTtoS",[5516,14364,6211],{"class":5813},[5516,14366,8432],{"class":5809},[5516,14368,5814],{"class":5813},[5516,14370,14206],{"class":5833},[5516,14372,6541],{"class":5813},[5516,14374,14171],{"class":5833},[5516,14376,5837],{"class":5813},[5516,14378,14379],{"class":5518,"line":7170},[5516,14380,8598],{"class":5813},[5516,14382,14383],{"class":5518,"line":7178},[5516,14384,6091],{"class":5813},[5516,14386,14387],{"class":5518,"line":7183},[5516,14388,6024],{"class":5813},[5516,14390,14391,14393,14395],{"class":5518,"line":7189},[5516,14392,6100],{"class":6029},[5516,14394,10041],{"class":5805},[5516,14396,5996],{"class":5813},[5516,14398,14399],{"class":5518,"line":7211},[5516,14400,5601],{"class":5813},[5516,14402,14403],{"class":5518,"line":7235},[5516,14404,5541],{"emptyLinePlaceholder":5540},[5516,14406,14407,14409,14411],{"class":5518,"line":7240},[5516,14408,11717],{"class":5805},[5516,14410,11720],{"class":5809},[5516,14412,7793],{"class":5813},[5516,14414,14415],{"class":5518,"line":7246},[5516,14416,5979],{"class":5813},[5516,14418,14419,14421,14423,14425,14427,14429,14431,14434],{"class":5518,"line":7276},[5516,14420,6929],{"class":5820},[5516,14422,5824],{"class":5813},[5516,14424,9629],{"class":5833},[5516,14426,9632],{"class":5813},[5516,14428,8072],{"class":5820},[5516,14430,5824],{"class":5813},[5516,14432,14433],{"class":5833},"boolalpha",[5516,14435,5996],{"class":5813},[5516,14437,14438,14440,14442,14444,14446,14449,14452,14455,14457,14459,14461,14464,14466,14469,14471,14474,14476,14478,14480,14482,14484,14486,14488,14490,14492],{"class":5518,"line":7281},[5516,14439,6929],{"class":5820},[5516,14441,5824],{"class":5813},[5516,14443,9629],{"class":5833},[5516,14445,9632],{"class":5813},[5516,14447,14448],{"class":6189},"\"isIsomorphic(",[5516,14450,14451],{"class":9648},"\\\"",[5516,14453,14454],{"class":6189},"egg",[5516,14456,14451],{"class":9648},[5516,14458,6541],{"class":6189},[5516,14460,14451],{"class":9648},[5516,14462,14463],{"class":6189},"add",[5516,14465,14451],{"class":9648},[5516,14467,14468],{"class":6189},"): \"",[5516,14470,9632],{"class":5813},[5516,14472,14473],{"class":5809},"isIsomorphic",[5516,14475,5814],{"class":5813},[5516,14477,13866],{"class":6189},[5516,14479,6541],{"class":5813},[5516,14481,13869],{"class":6189},[5516,14483,12559],{"class":5813},[5516,14485,9645],{"class":6189},[5516,14487,9649],{"class":9648},[5516,14489,9645],{"class":6189},[5516,14491,6015],{"class":5813},[5516,14493,14494],{"class":6018},"   \u002F\u002F true\n",[5516,14496,14497,14499,14501,14503,14505,14507,14509,14512,14514,14516,14518,14521,14523,14525,14527,14529,14531,14533,14535,14537,14539,14541,14543,14545,14547],{"class":5518,"line":7287},[5516,14498,6929],{"class":5820},[5516,14500,5824],{"class":5813},[5516,14502,9629],{"class":5833},[5516,14504,9632],{"class":5813},[5516,14506,14448],{"class":6189},[5516,14508,14451],{"class":9648},[5516,14510,14511],{"class":6189},"foo",[5516,14513,14451],{"class":9648},[5516,14515,6541],{"class":6189},[5516,14517,14451],{"class":9648},[5516,14519,14520],{"class":6189},"bar",[5516,14522,14451],{"class":9648},[5516,14524,14468],{"class":6189},[5516,14526,9632],{"class":5813},[5516,14528,14473],{"class":5809},[5516,14530,5814],{"class":5813},[5516,14532,13882],{"class":6189},[5516,14534,6541],{"class":5813},[5516,14536,13885],{"class":6189},[5516,14538,12559],{"class":5813},[5516,14540,9645],{"class":6189},[5516,14542,9649],{"class":9648},[5516,14544,9645],{"class":6189},[5516,14546,6015],{"class":5813},[5516,14548,14549],{"class":6018},"   \u002F\u002F false\n",[5516,14551,14552,14554,14556,14558,14560,14562,14564,14567,14569,14571,14573,14576,14578,14580,14582,14584,14586,14589,14591,14594,14596,14598,14600,14602,14604],{"class":5518,"line":7308},[5516,14553,6929],{"class":5820},[5516,14555,5824],{"class":5813},[5516,14557,9629],{"class":5833},[5516,14559,9632],{"class":5813},[5516,14561,14448],{"class":6189},[5516,14563,14451],{"class":9648},[5516,14565,14566],{"class":6189},"paper",[5516,14568,14451],{"class":9648},[5516,14570,6541],{"class":6189},[5516,14572,14451],{"class":9648},[5516,14574,14575],{"class":6189},"title",[5516,14577,14451],{"class":9648},[5516,14579,14468],{"class":6189},[5516,14581,9632],{"class":5813},[5516,14583,14473],{"class":5809},[5516,14585,5814],{"class":5813},[5516,14587,14588],{"class":6189},"\"paper\"",[5516,14590,6541],{"class":5813},[5516,14592,14593],{"class":6189},"\"title\"",[5516,14595,12559],{"class":5813},[5516,14597,9645],{"class":6189},[5516,14599,9649],{"class":9648},[5516,14601,9645],{"class":6189},[5516,14603,6015],{"class":5813},[5516,14605,14606],{"class":6018}," \u002F\u002F true\n",[5516,14608,14609],{"class":5518,"line":7313},[5516,14610,6024],{"class":5813},[5516,14612,14613,14615,14617],{"class":5518,"line":7319},[5516,14614,6100],{"class":6029},[5516,14616,12682],{"class":5992},[5516,14618,5996],{"class":5813},[5516,14620,14621],{"class":5518,"line":7341},[5516,14622,5601],{"class":5813},[12690,14624,14626,14634,14642],{"title":14625},".\u002Fisomorphic",[12694,14627,14629,14630],{"className":14628},[5518],"isIsomorphic(\"egg\", \"add\"): ",[5516,14631,14633],{"className":14632},[12729],"true",[12694,14635,14637,14638],{"className":14636},[5518],"isIsomorphic(\"foo\", \"bar\"): ",[5516,14639,14641],{"className":14640},[12769],"false",[12694,14643,14645,14646],{"className":14644},[5518],"isIsomorphic(\"paper\", \"title\"): ",[5516,14647,14633],{"className":14648},[12729],[5375,14650],{},[5378,14652,14654],{"id":14653},"обмеження-та-вдосконалення-реалізації","Обмеження та вдосконалення реалізації",[5770,14656,14658],{"id":14657},"обмеження-нашої-навчальної-версії","Обмеження нашої навчальної версії",[5728,14660,14661,14670,14687,14703,14709],{},[5267,14662,14663,14666,14667,14669],{},[5271,14664,14665],{},"Підтримка лише std::string:"," Реальна хеш-таблиця має бути параметризована типом ключа через ",[5364,14668,8331],{}," trait.",[5267,14671,14672,14675,14676,14679,14680,14683,14684,6211],{},[5271,14673,14674],{},"Відсутність ітераторів:"," Не можемо обійти всі елементи у циклі ",[5364,14677,14678],{},"for",". STL-контейнери надають ",[5364,14681,14682],{},"begin()"," \u002F ",[5364,14685,14686],{},"end()",[5267,14688,14689,14695,14696,14698,14699,14702],{},[5271,14690,14691,14692,7534],{},"Відсутність ",[5364,14693,14694],{},"operator[]"," У ",[5364,14697,7558],{}," можна писати ",[5364,14700,14701],{},"map[\"key\"] = value",". Потрібна підтримка вставки-якщо-не-існує.",[5267,14704,14705,14708],{},[5271,14706,14707],{},"Відсутність винятків безпеки:"," У реальному коді потрібні гарантії безпеки (strong exception guarantee) при rehash.",[5267,14710,14711,14714],{},[5271,14712,14713],{},"Фіксована хеш-функція:"," У продакшн-коді користувач має змогу передати власну хеш-функцію через шаблонний параметр.",[5770,14716,14718],{"id":14717},"можливі-вдосконалення","Можливі вдосконалення",[5383,14720,14721],{},[5271,14722,14723],{},"1. Додавання ітераторів:",[5383,14725,14726,14727,14730],{},"Реалізувати клас ",[5364,14728,14729],{},"Iterator",", який обходить всі бакети послідовно та рухається по ланцюжках:",[5507,14732,14734],{"className":5796,"code":14733,"language":5798,"meta":5512,"style":5512},"class Iterator\n{\nprivate:\n    HashTable* table;\n    size_t bucketIndex;\n    HashNode\u003CK, V>* currentNode;\n\npublic:\n    Iterator& operator++();  \u002F\u002F Перехід до наступного елемента\n    std::pair\u003CK, V>& operator*();  \u002F\u002F Доступ до пари (ключ, значення)\n    bool operator!=(const Iterator& other) const;\n};\n",[5364,14735,14736,14743,14747,14751,14762,14771,14792,14796,14800,14816,14845,14870],{"__ignoreMap":5512},[5516,14737,14738,14740],{"class":5518,"line":5519},[5516,14739,6912],{"class":5805},[5516,14741,14742],{"class":5820}," Iterator\n",[5516,14744,14745],{"class":5518,"line":5525},[5516,14746,5979],{"class":5813},[5516,14748,14749],{"class":5518,"line":5531},[5516,14750,6924],{"class":5805},[5516,14752,14753,14755,14757,14760],{"class":5518,"line":5537},[5516,14754,7192],{"class":5820},[5516,14756,6594],{"class":5805},[5516,14758,14759],{"class":5833}," table",[5516,14761,5996],{"class":5813},[5516,14763,14764,14766,14769],{"class":5518,"line":5544},[5516,14765,5984],{"class":5805},[5516,14767,14768],{"class":5833}," bucketIndex",[5516,14770,5996],{"class":5813},[5516,14772,14773,14775,14777,14779,14781,14783,14785,14787,14790],{"class":5518,"line":5550},[5516,14774,6591],{"class":5820},[5516,14776,6076],{"class":5813},[5516,14778,6944],{"class":5820},[5516,14780,6541],{"class":5813},[5516,14782,6949],{"class":5820},[5516,14784,7109],{"class":5813},[5516,14786,6594],{"class":5805},[5516,14788,14789],{"class":5833}," currentNode",[5516,14791,5996],{"class":5813},[5516,14793,14794],{"class":5518,"line":5556},[5516,14795,5541],{"emptyLinePlaceholder":5540},[5516,14797,14798],{"class":5518,"line":5562},[5516,14799,7127],{"class":5805},[5516,14801,14802,14805,14807,14810,14813],{"class":5518,"line":5568},[5516,14803,14804],{"class":5820},"    Iterator",[5516,14806,5830],{"class":5805},[5516,14808,14809],{"class":6029}," operator++",[5516,14811,14812],{"class":5813},"();",[5516,14814,14815],{"class":6018},"  \u002F\u002F Перехід до наступного елемента\n",[5516,14817,14818,14820,14822,14825,14827,14829,14831,14833,14835,14837,14840,14842],{"class":5518,"line":5574},[5516,14819,6929],{"class":5820},[5516,14821,5824],{"class":5813},[5516,14823,14824],{"class":5820},"pair",[5516,14826,6076],{"class":5813},[5516,14828,6944],{"class":5820},[5516,14830,6541],{"class":5813},[5516,14832,6949],{"class":5820},[5516,14834,7109],{"class":5813},[5516,14836,5830],{"class":5805},[5516,14838,14839],{"class":6029}," operator*",[5516,14841,14812],{"class":5813},[5516,14843,14844],{"class":6018},"  \u002F\u002F Доступ до пари (ключ, значення)\n",[5516,14846,14847,14849,14852,14854,14856,14859,14861,14864,14866,14868],{"class":5518,"line":5580},[5516,14848,7290],{"class":5805},[5516,14850,14851],{"class":6029}," operator!=",[5516,14853,5814],{"class":5813},[5516,14855,5817],{"class":5805},[5516,14857,14858],{"class":5820}," Iterator",[5516,14860,5830],{"class":5805},[5516,14862,14863],{"class":5833}," other",[5516,14865,7046],{"class":5813},[5516,14867,5817],{"class":5805},[5516,14869,5996],{"class":5813},[5516,14871,14872],{"class":5518,"line":5586},[5516,14873,6681],{"class":5813},[5383,14875,14876],{},[5271,14877,14878],{},"2. Підтримка move-семантики:",[5383,14880,14881],{},"Додати move-конструктор та move-присвоювання для ефективного переміщення великих таблиць без копіювання всіх вузлів.",[5383,14883,14884],{},[5271,14885,14886],{},"3. Налаштовувана хеш-функція:",[5383,14888,14889],{},"Зробити хеш-функцію шаблонним параметром:",[5507,14891,14893],{"className":5796,"code":14892,"language":5798,"meta":5512,"style":5512},"template \u003Ctypename K, typename V, typename Hash = std::hash\u003CK>>\nclass HashTable\n{\n    Hash hasher;  \u002F\u002F Об'єкт хеш-функції\n    \n    size_t hashFunction(const K& key) const\n    {\n        return hasher(key);\n    }\n};\n",[5364,14894,14895,14933,14939,14943,14956,14960,14980,14984,14996,15000],{"__ignoreMap":5512},[5516,14896,14897,14899,14901,14903,14905,14907,14909,14911,14913,14915,14918,14920,14922,14924,14926,14928,14930],{"class":5518,"line":5519},[5516,14898,6529],{"class":5805},[5516,14900,6532],{"class":5813},[5516,14902,6535],{"class":5805},[5516,14904,6538],{"class":5820},[5516,14906,6541],{"class":5813},[5516,14908,6535],{"class":5805},[5516,14910,6546],{"class":5820},[5516,14912,6541],{"class":5813},[5516,14914,6535],{"class":5805},[5516,14916,14917],{"class":5820}," Hash",[5516,14919,5989],{"class":5813},[5516,14921,8072],{"class":5820},[5516,14923,5824],{"class":5813},[5516,14925,6061],{"class":5833},[5516,14927,6076],{"class":5813},[5516,14929,6944],{"class":5820},[5516,14931,14932],{"class":5813},">>\n",[5516,14934,14935,14937],{"class":5518,"line":5525},[5516,14936,6912],{"class":5805},[5516,14938,6915],{"class":5820},[5516,14940,14941],{"class":5518,"line":5531},[5516,14942,5979],{"class":5813},[5516,14944,14945,14948,14951,14953],{"class":5518,"line":5537},[5516,14946,14947],{"class":5820},"    Hash",[5516,14949,14950],{"class":5833}," hasher",[5516,14952,6015],{"class":5813},[5516,14954,14955],{"class":6018},"  \u002F\u002F Об'єкт хеш-функції\n",[5516,14957,14958],{"class":5518,"line":5544},[5516,14959,6024],{"class":5813},[5516,14961,14962,14964,14966,14968,14970,14972,14974,14976,14978],{"class":5518,"line":5550},[5516,14963,5984],{"class":5805},[5516,14965,7033],{"class":5809},[5516,14967,5814],{"class":5813},[5516,14969,5817],{"class":5805},[5516,14971,6538],{"class":5820},[5516,14973,5830],{"class":5805},[5516,14975,5834],{"class":5833},[5516,14977,7046],{"class":5813},[5516,14979,8108],{"class":5805},[5516,14981,14982],{"class":5518,"line":5556},[5516,14983,6051],{"class":5813},[5516,14985,14986,14988,14990,14992,14994],{"class":5518,"line":5562},[5516,14987,7959],{"class":6029},[5516,14989,14950],{"class":5809},[5516,14991,5814],{"class":5813},[5516,14993,6044],{"class":5833},[5516,14995,5837],{"class":5813},[5516,14997,14998],{"class":5518,"line":5568},[5516,14999,6091],{"class":5813},[5516,15001,15002],{"class":5518,"line":5574},[5516,15003,6681],{"class":5813},[5383,15005,15006],{},[5271,15007,15008,15009,7534],{},"4. Оператор індексації ",[5364,15010,15011],{},"[]",[5507,15013,15015],{"className":5796,"code":15014,"language":5798,"meta":5512,"style":5512},"V& operator[](const K& key)\n{\n    V* value = find(key);\n    if (value == nullptr)\n    {\n        insert(key, V());  \u002F\u002F Вставити дефолтне значення\n        value = find(key);\n    }\n    return *value;\n}\n",[5364,15016,15017,15038,15042,15060,15074,15078,15097,15112,15116,15127],{"__ignoreMap":5512},[5516,15018,15019,15021,15023,15026,15028,15030,15032,15034,15036],{"class":5518,"line":5519},[5516,15020,6949],{"class":5820},[5516,15022,5830],{"class":5805},[5516,15024,15025],{"class":6029}," operator[]",[5516,15027,5814],{"class":5813},[5516,15029,5817],{"class":5805},[5516,15031,6538],{"class":5820},[5516,15033,5830],{"class":5805},[5516,15035,5834],{"class":5833},[5516,15037,5974],{"class":5813},[5516,15039,15040],{"class":5518,"line":5525},[5516,15041,5979],{"class":5813},[5516,15043,15044,15046,15048,15050,15052,15054,15056,15058],{"class":5518,"line":5531},[5516,15045,6578],{"class":5820},[5516,15047,6594],{"class":5805},[5516,15049,6581],{"class":5833},[5516,15051,5989],{"class":5813},[5516,15053,9120],{"class":5809},[5516,15055,5814],{"class":5813},[5516,15057,6044],{"class":5833},[5516,15059,5837],{"class":5813},[5516,15061,15062,15064,15066,15068,15070,15072],{"class":5518,"line":5537},[5516,15063,7690],{"class":6029},[5516,15065,5289],{"class":5813},[5516,15067,6651],{"class":5833},[5516,15069,7697],{"class":5813},[5516,15071,6666],{"class":5805},[5516,15073,5974],{"class":5813},[5516,15075,15076],{"class":5518,"line":5544},[5516,15077,6051],{"class":5813},[5516,15079,15080,15083,15085,15087,15089,15091,15094],{"class":5518,"line":5550},[5516,15081,15082],{"class":5809},"        insert",[5516,15084,5814],{"class":5813},[5516,15086,6044],{"class":5833},[5516,15088,6541],{"class":5813},[5516,15090,6949],{"class":5809},[5516,15092,15093],{"class":5813},"());",[5516,15095,15096],{"class":6018},"  \u002F\u002F Вставити дефолтне значення\n",[5516,15098,15099,15102,15104,15106,15108,15110],{"class":5518,"line":5556},[5516,15100,15101],{"class":5833},"        value",[5516,15103,5989],{"class":5813},[5516,15105,9120],{"class":5809},[5516,15107,5814],{"class":5813},[5516,15109,6044],{"class":5833},[5516,15111,5837],{"class":5813},[5516,15113,15114],{"class":5518,"line":5562},[5516,15115,6091],{"class":5813},[5516,15117,15118,15120,15123,15125],{"class":5518,"line":5568},[5516,15119,6100],{"class":6029},[5516,15121,15122],{"class":5813}," *",[5516,15124,6651],{"class":5833},[5516,15126,5996],{"class":5813},[5516,15128,15129],{"class":5518,"line":5574},[5516,15130,5601],{"class":5813},[5375,15132],{},[5378,15134,15136,15137],{"id":15135},"звязок-зі-стандартною-бібліотекою-stdunordered_map","Зв'язок зі стандартною бібліотекою: ",[5364,15138,7558],{},[5383,15140,15141,15142,15145,15146,11026,15148,15151],{},"У ",[5271,15143,15144],{},"стандартній бібліотеці C++ (STL)"," хеш-таблиці реалізовані як контейнери ",[5364,15147,7558],{},[5364,15149,15150],{},"std::unordered_set"," (C++11):",[5507,15153,15155],{"className":5796,"code":15154,"language":5798,"meta":5512,"style":5512},"#include \u003Cunordered_map>\n#include \u003Cstring>\n#include \u003Ciostream>\n\nint main()\n{\n    std::unordered_map\u003Cstd::string, std::string> dictionary;\n    \n    \u002F\u002F Вставка\n    dictionary[\"cat\"] = \"кіт\";\n    dictionary[\"dog\"] = \"собака\";\n    dictionary.insert({\"apple\", \"яблуко\"});\n    \n    \u002F\u002F Пошук\n    if (dictionary.find(\"cat\") != dictionary.end())\n    {\n        std::cout \u003C\u003C \"cat → \" \u003C\u003C dictionary[\"cat\"] \u003C\u003C '\\n';\n    }\n    \n    \u002F\u002F Видалення\n    dictionary.erase(\"dog\");\n    \n    \u002F\u002F Обхід всіх елементів (маємо ітератори!)\n    for (const auto& [key, value] : dictionary)\n    {\n        std::cout \u003C\u003C key \u003C\u003C \" → \" \u003C\u003C value \u003C\u003C '\\n';\n    }\n    \n    return 0;\n}\n",[5364,15156,15157,15164,15170,15176,15180,15188,15192,15223,15227,15232,15246,15260,15280,15284,15289,15317,15321,15353,15357,15361,15366,15381,15385,15390,15416,15420,15450,15454,15458,15466],{"__ignoreMap":5512},[5516,15158,15159,15161],{"class":5518,"line":5519},[5516,15160,6733],{"class":6029},[5516,15162,15163],{"class":6189}," \u003Cunordered_map>\n",[5516,15165,15166,15168],{"class":5518,"line":5525},[5516,15167,6733],{"class":6029},[5516,15169,6750],{"class":6189},[5516,15171,15172,15174],{"class":5518,"line":5531},[5516,15173,6733],{"class":6029},[5516,15175,6736],{"class":6189},[5516,15177,15178],{"class":5518,"line":5537},[5516,15179,5541],{"emptyLinePlaceholder":5540},[5516,15181,15182,15184,15186],{"class":5518,"line":5544},[5516,15183,11717],{"class":5805},[5516,15185,11720],{"class":5809},[5516,15187,7793],{"class":5813},[5516,15189,15190],{"class":5518,"line":5550},[5516,15191,5979],{"class":5813},[5516,15193,15194,15196,15198,15201,15203,15205,15207,15209,15211,15213,15215,15217,15219,15221],{"class":5518,"line":5556},[5516,15195,6929],{"class":5820},[5516,15197,5824],{"class":5813},[5516,15199,15200],{"class":5820},"unordered_map",[5516,15202,6076],{"class":5813},[5516,15204,8072],{"class":5820},[5516,15206,5824],{"class":5813},[5516,15208,5827],{"class":5820},[5516,15210,6541],{"class":5813},[5516,15212,8072],{"class":5820},[5516,15214,5824],{"class":5813},[5516,15216,5827],{"class":5820},[5516,15218,9545],{"class":5813},[5516,15220,11780],{"class":5833},[5516,15222,5996],{"class":5813},[5516,15224,15225],{"class":5518,"line":5562},[5516,15226,6024],{"class":5813},[5516,15228,15229],{"class":5518,"line":5568},[5516,15230,15231],{"class":6018},"    \u002F\u002F Вставка\n",[5516,15233,15234,15236,15238,15240,15242,15244],{"class":5518,"line":5574},[5516,15235,11824],{"class":5833},[5516,15237,7851],{"class":5813},[5516,15239,6190],{"class":6189},[5516,15241,8711],{"class":5813},[5516,15243,9567],{"class":6189},[5516,15245,5996],{"class":5813},[5516,15247,15248,15250,15252,15254,15256,15258],{"class":5518,"line":5580},[5516,15249,11824],{"class":5833},[5516,15251,7851],{"class":5813},[5516,15253,11851],{"class":6189},[5516,15255,8711],{"class":5813},[5516,15257,11856],{"class":6189},[5516,15259,5996],{"class":5813},[5516,15261,15262,15264,15266,15268,15271,15273,15275,15277],{"class":5518,"line":5586},[5516,15263,11824],{"class":5833},[5516,15265,6211],{"class":5813},[5516,15267,8432],{"class":5809},[5516,15269,15270],{"class":5813},"({",[5516,15272,11871],{"class":6189},[5516,15274,6541],{"class":5813},[5516,15276,11876],{"class":6189},[5516,15278,15279],{"class":5813},"});\n",[5516,15281,15282],{"class":5518,"line":5592},[5516,15283,6024],{"class":5813},[5516,15285,15286],{"class":5518,"line":5598},[5516,15287,15288],{"class":6018},"    \u002F\u002F Пошук\n",[5516,15290,15291,15293,15295,15297,15299,15301,15303,15305,15308,15310,15312,15315],{"class":5518,"line":5604},[5516,15292,7690],{"class":6029},[5516,15294,5289],{"class":5813},[5516,15296,11780],{"class":5833},[5516,15298,6211],{"class":5813},[5516,15300,9120],{"class":5809},[5516,15302,5814],{"class":5813},[5516,15304,6190],{"class":6189},[5516,15306,15307],{"class":5813},") != ",[5516,15309,11780],{"class":5833},[5516,15311,6211],{"class":5813},[5516,15313,15314],{"class":5809},"end",[5516,15316,13633],{"class":5813},[5516,15318,15319],{"class":5518,"line":5609},[5516,15320,6051],{"class":5813},[5516,15322,15323,15325,15327,15329,15331,15334,15336,15338,15340,15342,15345,15347,15349,15351],{"class":5518,"line":5615},[5516,15324,12147],{"class":5820},[5516,15326,5824],{"class":5813},[5516,15328,9629],{"class":5833},[5516,15330,9632],{"class":5813},[5516,15332,15333],{"class":6189},"\"cat → \"",[5516,15335,9632],{"class":5813},[5516,15337,11780],{"class":5833},[5516,15339,7851],{"class":5813},[5516,15341,6190],{"class":6189},[5516,15343,15344],{"class":5813},"] \u003C\u003C ",[5516,15346,9645],{"class":6189},[5516,15348,9649],{"class":9648},[5516,15350,9645],{"class":6189},[5516,15352,5996],{"class":5813},[5516,15354,15355],{"class":5518,"line":5621},[5516,15356,6091],{"class":5813},[5516,15358,15359],{"class":5518,"line":5627},[5516,15360,6024],{"class":5813},[5516,15362,15363],{"class":5518,"line":5632},[5516,15364,15365],{"class":6018},"    \u002F\u002F Видалення\n",[5516,15367,15368,15370,15372,15375,15377,15379],{"class":5518,"line":5638},[5516,15369,11824],{"class":5833},[5516,15371,6211],{"class":5813},[5516,15373,15374],{"class":5809},"erase",[5516,15376,5814],{"class":5813},[5516,15378,11851],{"class":6189},[5516,15380,5837],{"class":5813},[5516,15382,15383],{"class":5518,"line":5644},[5516,15384,6024],{"class":5813},[5516,15386,15387],{"class":5518,"line":5650},[5516,15388,15389],{"class":6018},"    \u002F\u002F Обхід всіх елементів (маємо ітератори!)\n",[5516,15391,15392,15394,15396,15398,15400,15403,15405,15407,15409,15412,15414],{"class":5518,"line":5656},[5516,15393,6030],{"class":6029},[5516,15395,5289],{"class":5813},[5516,15397,5817],{"class":5805},[5516,15399,12128],{"class":5805},[5516,15401,15402],{"class":5813}," [",[5516,15404,6044],{"class":5833},[5516,15406,6541],{"class":5813},[5516,15408,6651],{"class":5833},[5516,15410,15411],{"class":5813},"] : ",[5516,15413,11780],{"class":5833},[5516,15415,5974],{"class":5813},[5516,15417,15418],{"class":5518,"line":5662},[5516,15419,6051],{"class":5813},[5516,15421,15422,15424,15426,15428,15430,15432,15434,15436,15438,15440,15442,15444,15446,15448],{"class":5518,"line":5667},[5516,15423,12147],{"class":5820},[5516,15425,5824],{"class":5813},[5516,15427,9629],{"class":5833},[5516,15429,9632],{"class":5813},[5516,15431,6044],{"class":5833},[5516,15433,9632],{"class":5813},[5516,15435,12212],{"class":6189},[5516,15437,9632],{"class":5813},[5516,15439,6651],{"class":5833},[5516,15441,9632],{"class":5813},[5516,15443,9645],{"class":6189},[5516,15445,9649],{"class":9648},[5516,15447,9645],{"class":6189},[5516,15449,5996],{"class":5813},[5516,15451,15452],{"class":5518,"line":5673},[5516,15453,6091],{"class":5813},[5516,15455,15456],{"class":5518,"line":5679},[5516,15457,6024],{"class":5813},[5516,15459,15460,15462,15464],{"class":5518,"line":5685},[5516,15461,6100],{"class":6029},[5516,15463,12682],{"class":5992},[5516,15465,5996],{"class":5813},[5516,15467,15468],{"class":5518,"line":5690},[5516,15469,5601],{"class":5813},[5383,15471,15472],{},[5271,15473,15474],{},"Відмінності від нашої реалізації:",[5844,15476,15477,15489],{},[5847,15478,15479],{},[5850,15480,15481,15484,15487],{},[5853,15482,15483],{"align":5855},"Можливість",[5853,15485,15486],{"align":5855},"Наша HashTable",[5853,15488,7558],{"align":5855},[5864,15490,15491,15502,15512,15522,15533,15545],{},[5850,15492,15493,15496,15499],{},[5869,15494,15495],{"align":5855},"Типи даних",[5869,15497,15498],{"align":5855},"Фіксовані (std::string)",[5869,15500,15501],{"align":5855},"Будь-які типи через шаблони",[5850,15503,15504,15507,15509],{},[5869,15505,15506],{"align":5855},"Ітератори",[5869,15508,13006],{"align":5855},[5869,15510,15511],{"align":5855},"✅ (повний STL-інтерфейс)",[5850,15513,15514,15518,15520],{},[5869,15515,15516],{"align":5855},[5364,15517,14694],{},[5869,15519,13006],{"align":5855},[5869,15521,13025],{"align":5855},[5850,15523,15524,15527,15530],{},[5869,15525,15526],{"align":5855},"Винятки безпеки",[5869,15528,15529],{"align":5855},"Базова",[5869,15531,15532],{"align":5855},"Сильна гарантія",[5850,15534,15535,15538,15540],{},[5869,15536,15537],{"align":5855},"Власна хеш-функція",[5869,15539,13006],{"align":5855},[5869,15541,15542,15543,13877],{"align":5855},"✅ (через ",[5364,15544,8331],{},[5850,15546,15547,15550,15552],{},[5869,15548,15549],{"align":5855},"Алокатори",[5869,15551,13006],{"align":5855},[5869,15553,15554],{"align":5855},"✅ (кастомна пам'ять)",[6213,15556,15558,15567,15578],{"title":15557},"Коли використовувати std::unordered_map?",[5383,15559,15560,15561,7520,15564,15566],{},"У реальних проєктах ",[5271,15562,15563],{},"завжди використовуйте",[5364,15565,7558],{}," замість власної реалізації, якщо немає специфічних вимог. Вона:",[5264,15568,15569,15572,15575],{},[5267,15570,15571],{},"Оптимізована командою експертів.",[5267,15573,15574],{},"Підтримує всі можливості STL (ітератори, алгоритми, allocators).",[5267,15576,15577],{},"Має гарантії безпеки та тестована мільйонами програм.",[5383,15579,15580,15581,15584,15585,15588],{},"Власна реалізація корисна для ",[5271,15582,15583],{},"навчання"," або ",[5271,15586,15587],{},"специфічних"," випадків (embedded-системи, кастомні хеш-функції для нестандартних типів).",[5375,15590],{},[5378,15592,15594],{"id":15593},"резюме","Резюме",[5383,15596,15597],{},"У цій лекції ми пройшли повний шлях проєктування та реалізації хеш-таблиці — однієї з найшвидших структур даних для асоціативного пошуку.",[5383,15599,15600],{},[5271,15601,15602],{},"Ключові висновки:",[5728,15604,15605,15611,15617,15623,15629],{},[5267,15606,15607,15610],{},[5271,15608,15609],{},"Хешування перетворює ключі у індекси"," — це дозволяє досягти O(1) операцій у середньому.",[5267,15612,15613,15616],{},[5271,15614,15615],{},"Колізії неминучі"," через принцип Діріхле; метод ланцюгів розв'язує їх через зв'язані списки у бакетах.",[5267,15618,15619,15622],{},[5271,15620,15621],{},"Коефіцієнт завантаження λ"," контролює продуктивність: коли λ > 0.75, виконуємо rehash для підтримки швидкості.",[5267,15624,15625,15628],{},[5271,15626,15627],{},"Хеш-таблиця — найшвидша для пошуку",", але не впорядковує елементи (на відміну від бінарного дерева).",[5267,15630,15631,15634,15635,15637],{},[5271,15632,15633],{},"У продакшн-коді"," використовуйте ",[5364,15636,7558],{}," — промислова реалізація з усіма оптимізаціями.",[5383,15639,15640],{},[5271,15641,15642],{},"Наступні кроки:",[5264,15644,15645,15676,15686],{},[5267,15646,15647,15650,15651,6541,15653,6541,15656,15659,15660,6541,15663,15666,15667,15669,15670,6541,15673,5501],{},[5271,15648,15649],{},"Стаття 93:"," Готові структури даних STL — послідовні контейнери (",[5364,15652,6934],{},[5364,15654,15655],{},"deque",[5364,15657,15658],{},"list","), асоціативні (",[5364,15661,15662],{},"map",[5364,15664,15665],{},"set","), хеш-контейнери (",[5364,15668,15200],{},"), адаптери (",[5364,15671,15672],{},"stack",[5364,15674,15675],{},"queue",[5267,15677,15678,15681,15682,15685],{},[5271,15679,15680],{},"Стаття 94:"," Ітератори STL, алгоритми ",[5364,15683,15684],{},"\u003Calgorithm>",", предикати та лямбди для роботи з контейнерами.",[5267,15687,15688,15691,15692,6541,15695,6541,15698,6211],{},[5271,15689,15690],{},"Стаття 95:"," Move-семантика та розумні покажчики — ",[5364,15693,15694],{},"std::unique_ptr",[5364,15696,15697],{},"std::shared_ptr",[5364,15699,15700],{},"std::move",[5465,15702,15704,15707,15746],{"title":15703},"Зв'язок із попередніми темами",[5383,15705,15706],{},"Хеш-таблиця об'єднує знання з багатьох попередніх лекцій:",[5264,15708,15709,15715,15725,15731,15737],{},[5267,15710,15711,15714],{},[5271,15712,15713],{},"Зв'язані списки"," (стаття 90): ланцюжки колізій.",[5267,15716,15717,15719,15720,15722,15723,6211],{},[5271,15718,1785],{}," (стаття 19): керування вузлами через ",[5364,15721,8650],{},"\u002F",[5364,15724,7206],{},[5267,15726,15727,15730],{},[5271,15728,15729],{},"Шаблони класів"," (стаття 82): параметризація типів ключа та значення.",[5267,15732,15733,15736],{},[5271,15734,15735],{},"Глибоке копіювання"," (стаття 66): правильне клонування вузлів (якби додали копіювання).",[5267,15738,15739,15742,15743,15745],{},[5271,15740,15741],{},"Перевантаження операторів"," (стаття 64): потенційний ",[5364,15744,14694],{}," для зручного синтаксису.",[5383,15747,15748],{},"Це демонструє, як фундаментальні концепції ООП складаються у високорівневі інженерні конструкції.",[5375,15750],{},[5378,15752,15754],{"id":15753},"запитання-для-самоконтролю","Запитання для самоконтролю",[13236,15756,15757,15801,15855,15898],{},[13239,15758,15761,15768,15791],{"icon":15759,"label":15760},"i-lucide-help-circle","❓ Чому хеш-функція має бути детермінованою?",[5383,15762,15763,15764,15767],{},"Детермінованість означає, що ",[5271,15765,15766],{},"один і той же ключ завжди дає однаковий хеш",". Якщо хеш-функція випадкова, то:",[5728,15769,15770,15777,15788],{},[5267,15771,15772,15773,15776],{},"Після вставки ",[5364,15774,15775],{},"insert(\"cat\", \"кіт\")"," ми отримаємо індекс, наприклад, 42.",[5267,15778,15779,15780,15783,15784,15787],{},"При пошуку ",[5364,15781,15782],{},"find(\"cat\")"," ми обчислюємо хеш знову — і отримуємо ",[5271,15785,15786],{},"інший індекс",", наприклад, 17.",[5267,15789,15790],{},"Шукаємо у бакеті 17 — елемента там немає, хоча він зберігається у бакеті 42.",[5383,15792,15793,15796,15797,15800],{},[5271,15794,15795],{},"Результат:"," Пошук завжди повертає \"не знайдено\", навіть для існуючих елементів. Детермінованість — це ",[5271,15798,15799],{},"фундаментальна вимога"," для коректної роботи хеш-таблиці.",[13239,15802,15804,15816,15827,15833,15849],{"icon":15759,"label":15803},"❓ Чому порожні бакети — це нормально при λ \u003C 1?",[5383,15805,10316,15806,10319,15808,15811,15812,15815],{},[5364,15807,5366],{},[5271,15809,15810],{},"середню кількість елементів на бакет",". Якщо ",[5364,15813,15814],{},"λ = 0.5"," (50% завантаження), то при рівномірному розподілі:",[5264,15817,15818,15824],{},[5267,15819,15820,15823],{},[5271,15821,15822],{},"Половина бакетів порожня"," (не використовується).",[5267,15825,15826],{},"Половина містить 1–2 елементи.",[5383,15828,15829,15830,7534],{},"Це ",[5271,15831,15832],{},"компроміс між пам'яттю та швидкістю",[5264,15834,15835,15842],{},[5267,15836,15837,15838,15841],{},"Якщо зробити ",[5364,15839,15840],{},"λ = 10"," (багато елементів на мало бакетів), заощадимо пам'ять, але ланцюжки стануть довгими → O(10) пошук.",[5267,15843,15844,15845,15848],{},"Якщо тримати ",[5364,15846,15847],{},"λ ≈ 1",", половина пам'яті \"витрачається\" на порожні бакети, але пошук залишається O(1).",[5383,15850,15851,15854],{},[5271,15852,15853],{},"Висновок:"," Порожні бакети — це ціна за швидкість. Пам'ять дешевша за час обчислень у більшості застосунків.",[13239,15856,15858,15861,15884,15893],{"icon":15759,"label":15857},"❓ Що станеться, якщо ніколи не робити rehash?",[5383,15859,15860],{},"Якщо продовжувати вставляти елементи без збільшення таблиці:",[5728,15862,15863,15871,15878],{},[5267,15864,10316,15865,15867,15868],{},[5364,15866,6490],{}," зростає: ",[5364,15869,15870],{},"λ = 2, 5, 10, 100, ...",[5267,15872,15873,15874,15877],{},"Ланцюжки у бакетах стають ",[5271,15875,15876],{},"дуже довгими"," (десятки-сотні елементів).",[5267,15879,15880,15881,15883],{},"Пошук деградує до ",[5271,15882,5408],{}," — потрібно пройти весь ланцюжок.",[5383,15885,15886,15888,15889,15892],{},[5271,15887,6243],{}," 1000 елементів, 10 бакетів → середня довжина ланцюжка = 100. Пошук вимагає в середньому 50 порівнянь (O(n\u002FM)). Це ",[5271,15890,15891],{},"гірше за бінарне дерево"," (O(log n) = 10 порівнянь для 1000 елементів).",[5383,15894,15895,15897],{},[5271,15896,15853],{}," Без rehash хеш-таблиця втрачає свою головну перевагу — O(1) доступ.",[13239,15899,15901,15907,15913,15930,15935,15941,15944,15952],{"icon":15759,"label":15900},"❓ Чому складність rehash — O(N), але амортизована — O(1)?",[5383,15902,15903,15906],{},[5271,15904,15905],{},"Складність одного rehash:"," Потрібно перехешувати всі N елементів → O(N).",[5383,15908,15909,15912],{},[5271,15910,15911],{},"Але rehash виконується рідко:"," Лише коли λ > 0.75. Якщо починаємо з capacity = 16 та подвоюємо кожного разу:",[5264,15914,15915,15918,15921,15924,15927],{},[5267,15916,15917],{},"Rehash 1: N = 12 (capacity 16 → 32), робота = 12",[5267,15919,15920],{},"Rehash 2: N = 24 (capacity 32 → 64), робота = 24",[5267,15922,15923],{},"Rehash 3: N = 48 (capacity 64 → 128), робота = 48",[5267,15925,15926],{},"...",[5267,15928,15929],{},"Rehash k: N = 2^k, робота = 2^k",[5383,15931,15932],{},[5271,15933,15934],{},"Загальна робота для N вставок:",[5507,15936,15939],{"className":15937,"code":15938,"language":6133},[6131],"Σ (робота rehash) = 12 + 24 + 48 + ... + N ≈ 2N\n",[5364,15940,15938],{"__ignoreMap":5512},[5383,15942,15943],{},"(геометрична прогресія зі співвідношенням 2 сумується до подвійного останнього члена)",[5383,15945,15946,7520,15949,6211],{},[5271,15947,15948],{},"Розподілена на N вставок:",[5364,15950,15951],{},"2N \u002F N = 2 = O(1)",[5383,15953,15954,15956],{},[5271,15955,15853],{}," Хоча окремий rehash дорогий, його вартість \"розмазується\" на всі попередні вставки, даючи O(1) у середньому.",[5375,15958],{},[5383,15960,15961,7520,15964],{},[5271,15962,15963],{},"Наступна лекція:",[13898,15965,15967],{"href":15966},"stl-containers-iterators","Стаття 93 — Готові структури даних STL: контейнери, ітератори та алгоритми",[15969,15970,15971],"style",{},"html .light .shiki span {color: var(--shiki-light);background: var(--shiki-light-bg);font-style: var(--shiki-light-font-style);font-weight: var(--shiki-light-font-weight);text-decoration: var(--shiki-light-text-decoration);}html.light .shiki span {color: var(--shiki-light);background: var(--shiki-light-bg);font-style: var(--shiki-light-font-style);font-weight: var(--shiki-light-font-weight);text-decoration: var(--shiki-light-text-decoration);}html .default .shiki span {color: var(--shiki-default);background: var(--shiki-default-bg);font-style: var(--shiki-default-font-style);font-weight: var(--shiki-default-font-weight);text-decoration: 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