From 025b9a390b5cde87d4d00604ee745e8ea83202ff Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Mon, 28 Nov 2022 16:43:30 +0100 Subject: [PATCH 01/50] Update Permutation and Combination cheatsheets. (#963) --- src/algorithms/sets/combinations/README.md | 32 ++++++++---------- .../images/combinations-overview.jpg | Bin 0 -> 352932 bytes .../images/combinations-with-repetitions.jpg | Bin 0 -> 331434 bytes .../combinations-without-repetitions.jpg | Bin 0 -> 309391 bytes .../sets/combinations/images/overview.png | Bin 0 -> 145014 bytes src/algorithms/sets/permutations/README.md | 22 ++++++------ .../sets/permutations/images/overview.png | Bin 0 -> 145014 bytes .../images/permutations-overview.jpeg | Bin 0 -> 314729 bytes .../images/permutations-with-repetitions.jpg | Bin 0 -> 307854 bytes .../permutations-without-repetitions.jpg | Bin 0 -> 373106 bytes 10 files changed, 25 insertions(+), 29 deletions(-) create mode 100644 src/algorithms/sets/combinations/images/combinations-overview.jpg create mode 100644 src/algorithms/sets/combinations/images/combinations-with-repetitions.jpg create mode 100644 src/algorithms/sets/combinations/images/combinations-without-repetitions.jpg create mode 100644 src/algorithms/sets/combinations/images/overview.png create mode 100644 src/algorithms/sets/permutations/images/overview.png create mode 100644 src/algorithms/sets/permutations/images/permutations-overview.jpeg create mode 100644 src/algorithms/sets/permutations/images/permutations-with-repetitions.jpg create mode 100644 src/algorithms/sets/permutations/images/permutations-without-repetitions.jpg diff --git a/src/algorithms/sets/combinations/README.md b/src/algorithms/sets/combinations/README.md index 30243b8614..69fc0603f9 100644 --- a/src/algorithms/sets/combinations/README.md +++ b/src/algorithms/sets/combinations/README.md @@ -5,14 +5,14 @@ When the order doesn't matter, it is a **Combination**. When the order **does** matter it is a **Permutation**. **"My fruit salad is a combination of apples, grapes and bananas"** -We don't care what order the fruits are in, they could also be -"bananas, grapes and apples" or "grapes, apples and bananas", +We don't care what order the fruits are in, they could also be +"bananas, grapes and apples" or "grapes, apples and bananas", its the same fruit salad. ## Combinations without repetitions -This is how lotteries work. The numbers are drawn one at a -time, and if we have the lucky numbers (no matter what order) +This is how lotteries work. The numbers are drawn one at a +time, and if we have the lucky numbers (no matter what order) we win! No Repetition: such as lottery numbers `(2,14,15,27,30,33)` @@ -30,12 +30,12 @@ It is often called "n choose r" (such as "16 choose 3"). And is also known as th Repetition is Allowed: such as coins in your pocket `(5,5,5,10,10)` -Or let us say there are five flavours of ice cream: +Or let us say there are five flavours of ice cream: `banana`, `chocolate`, `lemon`, `strawberry` and `vanilla`. We can have three scoops. How many variations will there be? -Let's use letters for the flavours: `{b, c, l, s, v}`. +Let's use letters for the flavours: `{b, c, l, s, v}`. Example selections include: - `{c, c, c}` (3 scoops of chocolate) @@ -46,23 +46,21 @@ Example selections include: ![Formula](https://www.mathsisfun.com/combinatorics/images/combinations-repeat.gif) -Where `n` is the number of things to choose from, and we -choose `r` of them. Repetition allowed, +Where `n` is the number of things to choose from, and we +choose `r` of them. Repetition allowed, order doesn't matter. -## Cheat Sheets +## Cheatsheet -Permutations cheat sheet +![Permutations and Combinations Overview](./images/overview.png) -![Permutations Cheat Sheet](https://cdn-images-1.medium.com/max/2000/1*JNK-n0Pt0Vbxk0lxVpgT5A.png) +![Combinations overview](./images/combinations-overview.jpg) -Combinations cheat sheet +| | | +| --- | --- | +|![Combinations with repetition](./images/combinations-with-repetitions.jpg) | ![Combinations without repetition](./images/combinations-without-repetitions.jpg) | -![Combinations Cheat Sheet](https://cdn-images-1.medium.com/max/2000/1*7cFRn8jW4g_91YgDAbmxRQ.png) - -Permutations/combinations algorithm ideas. - -![Algorithms Idea](https://cdn-images-1.medium.com/max/2000/1*vLsSsZMnesCFPCYTYMbxrQ.png) +*Made with [okso.app](https://okso.app)* ## References diff --git a/src/algorithms/sets/combinations/images/combinations-overview.jpg b/src/algorithms/sets/combinations/images/combinations-overview.jpg new file mode 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a/src/algorithms/sets/permutations/README.md +++ b/src/algorithms/sets/permutations/README.md @@ -4,13 +4,13 @@ When the order doesn't matter, it is a **Combination**. When the order **does** matter it is a **Permutation**. -**"The combination to the safe is 472"**. We do care about the order. `724` won't work, nor will `247`. +**"The combination to the safe is 472"**. We do care about the order. `724` won't work, nor will `247`. It has to be exactly `4-7-2`. ## Permutations without repetitions -A permutation, also called an “arrangement number” or “order”, is a rearrangement of -the elements of an ordered list `S` into a one-to-one correspondence with `S` itself. +A permutation, also called an “arrangement number” or “order”, is a rearrangement of +the elements of an ordered list `S` into a one-to-one correspondence with `S` itself. Below are the permutations of string `ABC`. @@ -37,19 +37,17 @@ For example the the lock below: it could be `333`. n * n * n ... (r times) = n^r ``` -## Cheat Sheets +## Cheatsheet -Permutations cheat sheet +![Permutations and Combinations Overview](./images/overview.png) -![Permutations Cheat Sheet](https://cdn-images-1.medium.com/max/2000/1*JNK-n0Pt0Vbxk0lxVpgT5A.png) +![Permutations overview](./images/permutations-overview.jpeg) -Combinations cheat sheet +| | | +| --- | --- | +|![Permutations with repetition](./images/permutations-with-repetitions.jpg) | ![Permutations without repetition](./images/permutations-without-repetitions.jpg) | -![Combinations Cheat Sheet](https://cdn-images-1.medium.com/max/2000/1*7cFRn8jW4g_91YgDAbmxRQ.png) - -Permutations/combinations algorithm ideas. - -![Algorithms Idea](https://cdn-images-1.medium.com/max/2000/1*vLsSsZMnesCFPCYTYMbxrQ.png) +*Made with [okso.app](https://okso.app)* ## References diff --git a/src/algorithms/sets/permutations/images/overview.png b/src/algorithms/sets/permutations/images/overview.png new file mode 100644 index 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zpUbs-yQchw;*J{(euD>6%C3S;ch!*EB6VMHlCxCBQkaxB_{od+{vslxa5HjS&cx9| z<hGS94DET=qgZ&wXu&0;LA0gRHKrQ%&9hi08uHZ9vJ#3d;b5uKmYA{ z_}cG3UiZ7({uI%QHE`Eet_woc?P$7&~;GptyH~%L0 zb=K1o)uC@i;N}ipjQHrIM`HOF>76N)9aAN;9>ps{+0~cM+-&Swjb@Nm`Z^S?X=(*< zJZ0P4*_hY&4(~dve27Wc(2xYg?>XVNsLJ@twHREduxcTKo_F8scIA literal 0 HcmV?d00001 From a6a4d01f95a1f1f2243360d1fd7dbd2275f0fa79 Mon Sep 17 00:00:00 2001 From: "Oleksandr (Sasha) Khivrych" Date: Mon, 5 Dec 2022 06:38:35 +0000 Subject: [PATCH 02/50] feat: added ukranian translations for graph, heap, linked-list, priority-queue, queue, stack. trie (#965) --- src/data-structures/graph/README.md | 4 +- src/data-structures/graph/README.uk-UA.md | 24 +++ src/data-structures/heap/README.md | 4 +- src/data-structures/heap/README.uk-UA.md | 25 +++ src/data-structures/linked-list/README.md | 1 + .../linked-list/README.uk-UA.md | 147 ++++++++++++++++++ src/data-structures/priority-queue/README.md | 19 +-- .../priority-queue/README.uk-UA.md | 21 +++ src/data-structures/queue/README.md | 3 +- src/data-structures/queue/README.uk-UA.md | 21 +++ src/data-structures/stack/README.md | 3 +- src/data-structures/stack/README.uk-UA.md | 25 +++ src/data-structures/trie/README.md | 3 +- src/data-structures/trie/README.uk-UA.md | 27 ++++ 14 files changed, 313 insertions(+), 14 deletions(-) create mode 100644 src/data-structures/graph/README.uk-UA.md create mode 100644 src/data-structures/heap/README.uk-UA.md create mode 100644 src/data-structures/linked-list/README.uk-UA.md create mode 100644 src/data-structures/priority-queue/README.uk-UA.md create mode 100644 src/data-structures/queue/README.uk-UA.md create mode 100644 src/data-structures/stack/README.uk-UA.md create mode 100644 src/data-structures/trie/README.uk-UA.md diff --git a/src/data-structures/graph/README.md b/src/data-structures/graph/README.md index 9930053772..790602b536 100644 --- a/src/data-structures/graph/README.md +++ b/src/data-structures/graph/README.md @@ -4,7 +4,9 @@ _Read this in other languages:_ [_简体中文_](README.zh-CN.md), [_Русский_](README.ru-RU.md), [_Français_](README.fr-FR.md), -[_Português_](README.pt-BR.md) +[_Português_](README.pt-BR.md), +[_Українська_](README.uk-UA.md) + In computer science, a **graph** is an abstract data type that is meant to implement the undirected graph and diff --git a/src/data-structures/graph/README.uk-UA.md b/src/data-structures/graph/README.uk-UA.md new file mode 100644 index 0000000000..9886cd904c --- /dev/null +++ b/src/data-structures/graph/README.uk-UA.md @@ -0,0 +1,24 @@ +# Граф + +**Граф** в інформатиці - абстрактний тип даних, який має реалізовувати концепції спрямованого та неспрямованого +графа у математиці, особливо у галузі теорії графів. + +Структура даних графа складається з кінцевого (і можливо, що змінюється) набору вершин або вузлів, або точок, спільно з +набором ненаправлених пар цих вершин для ненаправленого графа або набором спрямованих пар для спрямованого графа. +Ці пари відомі як ребра, арки або лінії для ненаправленого графа та як стрілки, спрямовані ребра, спрямовані +арки чи спрямовані лінії для спрямованого графа. Ці вершини можуть бути частиною структури графа, або зовнішніми +сутностями, представленими цілими індексами або посиланнями. + +Для різних областей застосування види графів можуть відрізнятися спрямованістю, обмеженнями на кількість зв'язків та +додатковими даними про вершини або ребра. Багато структур, що становлять практичний інтерес у математиці та +інформатики можуть бути представлені графами. Наприклад, будову Вікіпедії можна змоделювати за допомогою +орієнтованого графа, в якому вершини – це статті, а дуги (орієнтовані ребра) – гіперпосилання. + +![Граф](./images/graph.jpeg) + +*Made with [okso.app](https://okso.app)* + +## Посилання + +- [Граф у математиці на Wikipedia](https://uk.wikipedia.org/wiki/%D0%93%D1%80%D0%B0%D1%84_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)) +- [Структура даних Graph / Граф](https://www.youtube.com/watch?v=D0U8aFEhgKQ) diff --git a/src/data-structures/heap/README.md b/src/data-structures/heap/README.md index ef1d2e8b9a..db5f9e339f 100644 --- a/src/data-structures/heap/README.md +++ b/src/data-structures/heap/README.md @@ -7,7 +7,9 @@ _Read this in other languages:_ [_Français_](README.fr-FR.md), [_Português_](README.pt-BR.md), [_Türkçe_](README.tr-TR.md), -[_한국어_](README.ko-KR.md) +[_한국어_](README.ko-KR.md), +[_Українська_](README.uk-UA.md) + In computer science, a **heap** is a specialized tree-based data structure that satisfies the heap property described diff --git a/src/data-structures/heap/README.uk-UA.md b/src/data-structures/heap/README.uk-UA.md new file mode 100644 index 0000000000..f35995d8ae --- /dev/null +++ b/src/data-structures/heap/README.uk-UA.md @@ -0,0 +1,25 @@ +# Купа (структура даних) + +У комп'ютерних науках купа - це спеціалізована структура даних на кшталт дерева, яка задовольняє властивості купи: +якщо B є вузлом-нащадком вузла A, то ключ (A) ≥ ключ (B). З цього випливає, що елемент із найбільшим ключем завжди +є кореневим вузлом купи, тому іноді такі купи називають max-купами. + +![MaxHeap](./images/max-heap.jpeg) + +![Array Representation](./images/array-representation.jpeg) + +Якщо порівняння перевернути, то найменший елемент завжди буде кореневим вузлом, такі купи називають min-купами. + +![MinHeap](./images/min-heap.jpeg) + +*Made with [okso.app](https://okso.app)* + +Не існує жодних обмежень щодо того, скільки вузлів-нащадків має кожен вузол купи. На практиці їх +число зазвичай трохи більше двох. Купа є максимально ефективною реалізацією абстрактного типу даних, який +називається чергою із пріоритетом. + +Вузол на вершині купи, який не має батьків, називається кореневим вузлом. + +## Посилання + +- [Wikipedia](https://uk.wikipedia.org/wiki/%D0%9A%D1%83%D0%BF%D0%B0_(%D1%81%D1%82%D1%80%D1%83%D0%BA%D1%82%D1%83%D1%80%D0%B0_%D0%B4%D0%B0%D0%BD%D0%B8%D1%85)) diff --git a/src/data-structures/linked-list/README.md b/src/data-structures/linked-list/README.md index 8819a390d3..bb30b07525 100644 --- a/src/data-structures/linked-list/README.md +++ b/src/data-structures/linked-list/README.md @@ -8,6 +8,7 @@ _Read this in other languages:_ [_한국어_](README.ko-KR.md), [_Español_](README.es-ES.md), [_Turkish_](README.tr-TR.md), +[_Українська_](README.uk-UA.md) In computer science, a **linked list** is a linear collection of data elements, in which linear order is not given by diff --git a/src/data-structures/linked-list/README.uk-UA.md b/src/data-structures/linked-list/README.uk-UA.md new file mode 100644 index 0000000000..5424c58db4 --- /dev/null +++ b/src/data-structures/linked-list/README.uk-UA.md @@ -0,0 +1,147 @@ +# Зв'язаний список + +Зв'язаний список — базова динамічна структура даних в інформатиці, що складається з вузлів, кожен з яких містить як дані, так посилання («зв'язку») на наступний вузол списку. Дана структура дозволяє ефективно додавати та видаляти елементи на довільній позиції у послідовності у процесі ітерації. Більш складні варіанти включають додаткові посилання, що дозволяють ефективно додавати та видаляти довільні елементи. + +Принциповою перевагою перед масивом є структурна гнучкість: порядок елементів зв'язкового списку може збігатися з порядком розташування елементів даних у пам'яті комп'ютера, а порядок обходу списку завжди явно задається його внутрішніми зв'язками. Суть переваги у тому, що у багатьох мовах створення масиву вимагає вказати його заздалегідь. Зв'язковий список дозволяє обійти це обмеження. + +Недоліком зв'язкових списків є те, що час доступу є лінійним (і важко для реалізації конвеєрів). Неможливий швидкий доступ (випадковий). + +![Linked List](./images/linked-list.jpeg) + +*Made with [okso.app](https://okso.app)* + +## Псевдокод основних операцій + +### Вставка + +```text +Add(value) + Pre: value - значення, що додається + Post: value поміщено в кінець списку + n ← node(value) + if head = ø + head ← n + tail ← n + else + tail.next ← n + tail ← n + end if +end Add +``` + +```text +Prepend(value) + Pre: value - значення, що додається + Post: value поміщено на початок списку + n ← node(value) + n.next ← head + head ← n + if tail = ø + tail ← n + end +end Prepend +``` + +### Поиск + +```text +Contains(head, value) + Pre: head - перший вузол у списку + value - значення, яке слід знайти + Post: true - value знайдено у списку, інакше false + n ← head + while n != ø and n.value != value + n ← n.next + end while + if n = ø + return false + end if + return true +end Contains +``` + +### Вилучення + +```text +Remove(head, value) + Pre: head - перший вузол у списку + value - значення, яке слід видалити + Post: true - value видалено зі списку, інакше false + if head = ø + return false + end if + n ← head + if n.value = value + if head = tail + head ← ø + tail ← ø + else + head ← head.next + end if + return true + end if + while n.next != ø and n.next.value != value + n ← n.next + end while + if n.next != ø + if n.next = tail + tail ← n + end if + n.next ← n.next.next + return true + end if + return false +end Remove +``` + +### Обход + +```text +Traverse(head) + Pre: head - перший вузол у списку + Post: елементи списку пройдені + n ← head + while n != ø + yield n.value + n ← n.next + end while +end Traverse +``` + +### Зворотний обхід + +```text +ReverseTraversal(head, tail) + Pre: head и tail відносяться до одного списку + Post: елементи списку пройдено у зворотному порядку + if tail != ø + curr ← tail + while curr != head + prev ← head + while prev.next != curr + prev ← prev.next + end while + yield curr.value + curr ← prev + end while + yield curr.value + end if +end ReverseTraversal +``` + +## Складність + +### Тимчасова складність + +| Читання | Пошук | Вставка | Вилучення | +| :--------: | :-------: | :--------: | :-------: | +| O(n) | O(n) | O(1) | O(n) | + +### Просторова складність + +O(n) + +## Посилання + +- [Wikipedia](https://uk.wikipedia.org/wiki/%D0%97%D0%B2%27%D1%8F%D0%B7%D0%B0%D0%BD%D0%B8%D0%B9_%D1%81%D0%BF%D0%B8%D1%81%D0%BE%D0%BA) +- [YouTube](https://www.youtube.com/watch?v=6snsMa4E1Os) diff --git a/src/data-structures/priority-queue/README.md b/src/data-structures/priority-queue/README.md index eb5ec72985..6d0901960d 100644 --- a/src/data-structures/priority-queue/README.md +++ b/src/data-structures/priority-queue/README.md @@ -6,20 +6,21 @@ _Read this in other languages:_ [_日本語_](README.ja-JP.md), [_Français_](README.fr-FR.md), [_Português_](README.pt-BR.md), -[_한국어_](README.ko-KR.md) +[_한국어_](README.ko-KR.md), +[_Українська_](README.uk-UA.md) -In computer science, a **priority queue** is an abstract data type -which is like a regular queue or stack data structure, but where -additionally each element has a "priority" associated with it. -In a priority queue, an element with high priority is served before -an element with low priority. If two elements have the same +In computer science, a **priority queue** is an abstract data type +which is like a regular queue or stack data structure, but where +additionally each element has a "priority" associated with it. +In a priority queue, an element with high priority is served before +an element with low priority. If two elements have the same priority, they are served according to their order in the queue. -While priority queues are often implemented with heaps, they are -conceptually distinct from heaps. A priority queue is an abstract +While priority queues are often implemented with heaps, they are +conceptually distinct from heaps. A priority queue is an abstract concept like "a list" or "a map"; just as a list can be implemented with a linked list or an array, a priority queue can be implemented -with a heap or a variety of other methods such as an unordered +with a heap or a variety of other methods such as an unordered array. ## References diff --git a/src/data-structures/priority-queue/README.uk-UA.md b/src/data-structures/priority-queue/README.uk-UA.md new file mode 100644 index 0000000000..2f0454479e --- /dev/null +++ b/src/data-structures/priority-queue/README.uk-UA.md @@ -0,0 +1,21 @@ +# Черга з пріоритетом + +Черга з пріоритетом (англ. priority queue) - абстрактний тип даних в інформатиці, +для кожного елемента якого можна визначити його пріоритет. + +У черзі з пріоритетами елемент із високим пріоритетом обслуговується раніше +елемент з низьким пріоритетом. Якщо два елементи мають однаковий пріоритет, вони +обслуговуються відповідно до їх порядку в черзі. + +Черга з пріоритетом підтримує дві обов'язкові операції – додати елемент та +витягти максимум (мінімум). + +Хоча пріоритетні черги часто реалізуються у вигляді куп (heaps), вони +концептуально відрізняються від куп. Черга пріоритетів є абстрактною +концепцією на кшталт «списку» чи «карти»; так само, як список може бути реалізований +у вигляді зв'язкового списку або масиву, так і черга з пріоритетом може бути реалізована +у вигляді купи або безліччю інших методів, наприклад, у вигляді невпорядкованого масиву. + +## Посилання + +- [Wikipedia](https://uk.wikipedia.org/wiki/%D0%A7%D0%B5%D1%80%D0%B3%D0%B0_%D0%B7_%D0%BF%D1%80%D1%96%D0%BE%D1%80%D0%B8%D1%82%D0%B5%D1%82%D0%BE%D0%BC) diff --git a/src/data-structures/queue/README.md b/src/data-structures/queue/README.md index c1e40d735c..d8e0288b42 100644 --- a/src/data-structures/queue/README.md +++ b/src/data-structures/queue/README.md @@ -6,7 +6,8 @@ _Read this in other languages:_ [_日本語_](README.ja-JP.md), [_Français_](README.fr-FR.md), [_Português_](README.pt-BR.md), -[_한국어_](README.ko-KR.md) +[_한국어_](README.ko-KR.md), +[_Українська_](README.uk-UA.md) In computer science, a **queue** is a particular kind of abstract data type or collection in which the entities in the collection are diff --git a/src/data-structures/queue/README.uk-UA.md b/src/data-structures/queue/README.uk-UA.md new file mode 100644 index 0000000000..7934c7571a --- /dev/null +++ b/src/data-structures/queue/README.uk-UA.md @@ -0,0 +1,21 @@ +# Черга + +Черга (англ. queue) – структура даних в інформатиці, в якій елементи +зберігаються у порядку їх додавання. Додавання нових елементів(enqueue) +здійснюється на кінець списку. А видалення елементів (dequeue) +здійснюється із початку. Таким чином черга реалізує принцип +"першим увійшов – першим вийшов" (FIFO). Часто реалізується операція читання +головного елемента (peek), яка повертає перший у черзі елемент, +при цьому не видаляючи його. Черга є прикладом лінійної структури +даних чи послідовної колекції. + +Ілюстрація роботи з чергою. + +![Черга](./images/queue.jpeg) + +*Made with [okso.app](https://okso.app)* + +## Список літератури + +- [Wikipedia](https://uk.wikipedia.org/wiki/%D0%A7%D0%B5%D1%80%D0%B3%D0%B0_(%D1%81%D1%82%D1%80%D1%83%D0%BA%D1%82%D1%83%D1%80%D0%B0_%D0%B4%D0%B0%D0%BD%D0%B8%D1%85)) +- [YouTube](https://www.youtube.com/watch?v=ll4QLNSPn60) diff --git a/src/data-structures/stack/README.md b/src/data-structures/stack/README.md index 645e66c117..612f926736 100644 --- a/src/data-structures/stack/README.md +++ b/src/data-structures/stack/README.md @@ -6,7 +6,8 @@ _Read this in other languages:_ [_日本語_](README.ja-JP.md), [_Français_](README.fr-FR.md), [_Português_](README.pt-BR.md), -[_한국어_](README.ko-KR.md) +[_한국어_](README.ko-KR.md), +[_Українська_](README.uk-UA.md) In computer science, a **stack** is an abstract data type that serves as a collection of elements, with two principal operations: diff --git a/src/data-structures/stack/README.uk-UA.md b/src/data-structures/stack/README.uk-UA.md new file mode 100644 index 0000000000..9941114f5b --- /dev/null +++ b/src/data-structures/stack/README.uk-UA.md @@ -0,0 +1,25 @@ +# Стек + +Стек (англ. stack - стопка) - абстрактний тип даних, що представляє собою +список елементів, організованих за принципом LIFO (останнім прийшов – першим вийшов). + +Стек має дві ключові операції: +* **додавання (push)** елемента в кінець стеку, та +* **видалення (pop)**, останнього доданого елемента. + +Додаткова операція для читання головного елемента (peek) дає доступ +до останнього елементу стека без зміни самого стека. + +Найчастіше принцип роботи стека порівнюють зі чаркою тарілок: щоб узяти другу +зверху потрібно зняти верхню. + +Ілюстрація роботи зі стеком. + +![Стек](./images/stack.jpeg) + +*Made with [okso.app](https://okso.app)* + +## Посилання + +- [Wikipedia](https://uk.wikipedia.org/wiki/%D0%A1%D1%82%D0%B5%D0%BA) +- [YouTube](https://www.youtube.com/watch?v=4jh1e1YCbYc) diff --git a/src/data-structures/trie/README.md b/src/data-structures/trie/README.md index f6f38ece09..2082fed903 100644 --- a/src/data-structures/trie/README.md +++ b/src/data-structures/trie/README.md @@ -3,7 +3,8 @@ _Read this in other languages:_ [_简体中文_](README.zh-CN.md), [_Русский_](README.ru-RU.md), -[_Português_](README.pt-BR.md) +[_Português_](README.pt-BR.md), +[_Українська_](README.uk-UA.md) In computer science, a **trie**, also called digital tree and sometimes radix tree or prefix tree (as they can be searched by prefixes), diff --git a/src/data-structures/trie/README.uk-UA.md b/src/data-structures/trie/README.uk-UA.md new file mode 100644 index 0000000000..3b1f01f0aa --- /dev/null +++ b/src/data-structures/trie/README.uk-UA.md @@ -0,0 +1,27 @@ +# Префіксне дерево + +**Префіксне дерево** (Також промінь, навантажене або суфіксне дерево) в інформатиці - впорядкована деревоподібна +структура даних, яка використовується для зберігання динамічних множин або асоціативних масивів, де +ключем зазвичай виступають рядки. Дерево називається префіксним, тому що пошук здійснюється за префіксами. + +На відміну від бінарного дерева, вузли не містять ключів, що відповідають вузлу. Являє собою кореневе дерево, кожне +ребро якого позначено якимось символом так, що для будь-якого вузла всі ребра, що з'єднують цей вузол з його синами, +позначені різними символами. Деякі вузли префіксного дерева виділені (на малюнку вони підписані цифрами) і вважається, +що префіксне дерево містить цей рядок-ключ тоді і тільки тоді, коли цей рядок можна прочитати на шляху з +кореня до певного виділеного вузла. + +Таким чином, на відміну від бінарних дерев пошуку, ключ, що ідентифікує конкретний вузол дерева, не явно зберігається в +цьому вузлі, а неявно задається положенням цього вузла в дереві. Отримати ключ можна виписуванням поспіль символів, +помічають ребра по дорозі від кореня до вузла. Ключ кореня дерева - порожній рядок. Часто у виділених вузлах зберігають +додаткову інформацію, пов'язану з ключем, і зазвичай виділеними є тільки листя і, можливо, деякі +внутрішні вузли. + +![Префіксне дерево](./images/trie.jpg) + +*Made with [okso.app](https://okso.app)* + +На малюнку представлено префіксне дерево, що містить ключі. «A», «to», «tea», «ted», «ten», «i», «in», «inn». + +## Посилання + +- [Wikipedia](https://uk.wikipedia.org/wiki/%D0%9F%D1%80%D0%B5%D1%84%D1%96%D0%BA%D1%81%D0%BD%D0%B5_%D0%B4%D0%B5%D1%80%D0%B5%D0%B2%D0%BE) From 2a6f724589a1887a8ed6b665fa238e29acbf8c8c Mon Sep 17 00:00:00 2001 From: j0pgrm <109052480+j0pgrm@users.noreply.github.com> Date: Sun, 4 Dec 2022 23:59:33 -0700 Subject: [PATCH 03/50] Malay readme (#927) * update-readme * deploy * deploy Co-authored-by: name Co-authored-by: Oleksii Trekhleb --- README.ma-MA.md | 364 ++++++++++++++++++ README.md | 2 +- .../graph/breadth-first-search/README.md | 4 +- 3 files changed, 367 insertions(+), 3 deletions(-) create mode 100644 README.ma-MA.md diff --git a/README.ma-MA.md b/README.ma-MA.md new file mode 100644 index 0000000000..0f75b78a12 --- /dev/null +++ b/README.ma-MA.md @@ -0,0 +1,364 @@ +# Algoritma JavaScript dan Struktur Data + +> 🇺🇦 UKRAINE [SEDANG DISERANG](https://twitter.com/MFA_Ukraine) OLEH TENTERA RUSIA. ORANG AWAM SEMAKIN DIBUNUH. KAWASAN KEDIAMAN SEMAKIN DIBOM. +> - Bantu Ukraine melalui [Bank Negara Ukraine](https://bank.gov.ua/en/news/all/natsionalniy-bank-vidkriv-spetsrahunok-dlya-zboru-koshtiv-na-potrebi-armiyi) +> - Bantu Ukraine melalui dana [SaveLife](https://savelife.in.ua/en/donate-en/) +> - Maklumat lanjut tentang [war.ukraine.ua](https://war.ukraine.ua/) + +[![CI](https://github.com/trekhleb/javascript-algorithms/workflows/CI/badge.svg)](https://github.com/trekhleb/javascript-algorithms/actions?query=workflow% 3ACI+cawangan%3Amaster) +[![codecov](https://codecov.io/gh/trekhleb/javascript-algorithms/branch/master/graph/badge.svg)](https://codecov.io/gh/trekhleb/javascript-algorithms) + +Repositori ini mengandungi banyak contoh berasaskan JavaScript +algoritma dan struktur data yang popular. + +Setiap algoritma dan struktur data mempunyai README tersendiri +dengan penjelasan dan pautan berkaitan untuk bacaan lanjut (termasuk yang +kepada video YouTube). + +_Baca ini dalam bahasa lain:_ +[_简体中文_](README.zh-CN.md), +[_繁體中文_](README.zh-TW.md), +[_한국어_](README.ko-KR.md), +[_日本語_](README.ja-JP.md), +[_Polski_](README.pl-PL.md), +[_Français_](README.fr-FR.md), +[_Español_](README.es-ES.md), +[_Português_](README.pt-BR.md), +[_Русский_](README.ru-RU.md), +[_Türk_](README.tr-TR.md), +[_Italiana_](README.it-IT.md), +[_Bahasa Indonesia_](README.id-ID.md), +[_Українська_](README.uk-UA.md), +[_Arab_](README.ar-AR.md), +[_Tiếng Việt_](README.vi-VN.md), +[_Deutsch_](README.de-DE.md) + +*☝ Ambil perhatian bahawa projek ini bertujuan untuk digunakan untuk tujuan pembelajaran dan penyelidikan +sahaja, dan ia **tidak** bertujuan untuk digunakan untuk pengeluaran.* + +## Struktur Data + +Struktur data ialah cara tertentu untuk mengatur dan menyimpan data dalam komputer supaya ia boleh +boleh diakses dan diubah suai dengan cekap. Lebih tepat lagi, struktur data ialah himpunan data +nilai, hubungan di antara mereka, dan fungsi atau operasi yang boleh digunakan +data itu. + +`B` - Pemula, `A` - Lanjutan + +* `B` [Senarai Terpaut](src/struktur-data/senarai-terpaut) +* `B` [Senarai Terpaut Berganda](src/struktur-data/senarai-berpaut-dua) +* `B` [Barisan](src/struktur-data/baris gilir) +* `B` [Timbunan](src/struktur-data/tindanan) +* `B` [Jadual Hash](src/struktur-data/jadual cincang) +* `B` [Timbunan](src/struktur-data/timbunan) - versi timbunan maks dan min +* `B` [Baris Keutamaan](src/struktur-data/baris gilir keutamaan) +* `A` [Trie](src/data-structures/trie) +* `A` [Pokok](src/struktur-data/pokok) + * `A` [Pokok Carian Perduaan](src/struktur-data/pokok/pokok-cari-perduaan) + * `A` [AVL Tree](src/data-structures/tree/avl-tree) + * `A` [Pokok Merah-Hitam](src/struktur-data/pokok/pokok-merah-hitam) + * `A` [Pokok Segmen](src/data-structures/tree/segment-tree) - dengan contoh pertanyaan julat min/maks/jumlah + * `A` [Pokok Fenwick](src/struktur-data/pokok/pokok-fenwick) (Pokok Berindeks Perduaan) +* `A` [Graf](src/struktur-data/graf) (kedua-dua terarah dan tidak terarah) +* `A` [Set Terpisah](src/struktur-data/set-terpisah) +* `A` [Bloom Filter](src/data-structures/bloom-filter) + +## Algoritma + +Algoritma ialah spesifikasi yang tidak jelas tentang cara menyelesaikan kelas masalah. Ia adalah +satu set peraturan yang mentakrifkan dengan tepat urutan operasi. + +`B` - Pemula, `A` - Lanjutan + +### Algoritma mengikut Topik + +* **Matematik** + * `B` [Manipulasi Bit](src/algoritma/matematik/bit) - set/dapatkan/kemas kini/kosongkan bit, darab/bahagi dengan dua, jadikan negatif dsb. + * `B` [Titik Terapung Perduaan](src/algoritma/matematik/titik terapung binari) - perwakilan binari nombor titik terapung. + * `B` [Factorial](src/algoritma/matematik/faktorial) + * `B` [Nombor Fibonacci](src/algoritma/matematik/fibonacci) - versi klasik dan bentuk tertutup + * `B` [Faktor Perdana](src/algoritma/matematik/faktor-prima) - mencari faktor perdana dan mengiranya menggunakan teorem Hardy-Ramanujan + * `B` [Ujian Primaliti](src/algoritma/matematik/ujian-primaliti) (kaedah pembahagian percubaan) + * `B` [Algoritma Euclidean](src/algorithm/math/euclidean-algorithm) - kira Pembahagi Sepunya Terhebat (GCD) + * `B` [Garab Sepunya Terkecil](src/algoritma/matematik/bilangan-paling-biasa) (LCM) + * `B` [Ayak Eratosthenes](src/algoritma/matematik/ayak-eratosthenes) - mencari semua nombor perdana sehingga mana-mana had tertentu + * `B` [Adalah Kuasa Dua](src/algoritma/math/is-power-of-two) - semak sama ada nombor itu kuasa dua (algoritma naif dan bitwise) + * `B` [Segitiga Pascal](src/algoritma/matematik/segitiga-pascal) + * `B` [Nombor Kompleks](src/algoritma/matematik/nombor-kompleks) - nombor kompleks dan operasi asas dengannya + * `B` [Radian & Darjah](src/algoritma/matematik/radian) - penukaran radian kepada darjah dan ke belakang + * `B` [Fast Powering](src/algorithm/math/fast-powering) + * `B` [Kaedah Horner](src/algoritma/matematik/kaedah-horner) - penilaian polinomial + * `B` [Matriks](src/algoritma/matematik/matriks) - matriks dan operasi matriks asas (pendaraban, transposisi, dsb.) + * `B` [Jarak Euclidean](src/algoritma/matematik/jarak-euclidean) - jarak antara dua titik/vektor/matriks + * `A` [Pembahagian Integer](src/algoritma/matematik/integer-partition) + * `A` [Akar Kuasa Dua](src/algoritma/matematik/akar-kuadrat) - Kaedah Newton + * `A` [Algoritma Liu Hui π](src/algoritma/math/liu-hui) - anggaran π pengiraan berdasarkan N-gons + * `A` [Transformasi Fourier Diskret](src/algoritma/matematik/fourier-transform) - menguraikan fungsi masa (suatu isyarat) kepada frekuensi yang membentuknya +* **Set** + * `B` [Produk Cartesian](src/algoritma/set/produk cartesian) - hasil daripada berbilang set + * `B` [Fisher–Yates Shuffle](src/algoritma/sets/fisher-yates) - pilih atur rawak bagi urutan terhingga + * `A` [Set Kuasa](src/algoritma/set/set-kuasa) - semua subset set (penyelesaian bitwise dan backtracking) + * `A` [Permutasi](src/algoritma/set/permutasi) (dengan dan tanpa ulangan) + * `A` [Gabungan](src/algoritma/set/gabungan) (dengan dan tanpa ulangan) + * `A` [Turutan Sepunya Terpanjang](src/algoritma/set/susulan-biasa-terpanjang) (LCS) + * `A` [Surutan Bertambah Terpanjang](src/algoritma/set/susulan-bertambah-panjang) + * `A` [Jurutan Sepunya Terpendek](src/algoritma/set/jujukan-sepunya-terpendek) (SCS) + * `A` [Masalah Knapsack](src/algorithms/sets/knapsack-problem) - "0/1" dan "Unbound" + * `A` [Maximum Subarray](src/algorithm/sets/maximum-subarray) - versi "Brute Force" dan "Dynamic Programming" (Kadane's) + * `A` [Jumlah Gabungan](src/algoritma/set/jumlah-gabungan) - cari semua gabungan yang membentuk jumlah tertentu +* **Rentetan** + * `B` [Jarak Hamming](src/algoritma/rentetan/jarak hamming) - bilangan kedudukan di mana simbol berbeza + * `B` [Palindrome](src/algorithm/string/palindrome) - semak sama ada rentetan adalah sama secara terbalik + * `A` [Jarak Levenshtein](src/algoritma/rentetan/levenshtein-jarak) - jarak edit minimum antara dua jujukan + * `A` [Algoritma Knuth–Morris–Pratt](src/algorithm/string/knuth-morris-pratt) (Algoritma KMP) - carian subrentetan (padanan corak) + * `A` [Z Algoritma](src/algorithm/string/z-algorithm) - carian subrentetan (padanan corak) + * `A` [Algoritma Rabin Karp](src/algorithm/string/rabin-karp) - carian subrentetan + * `A` [Subrentetan Biasa Terpanjang](src/algoritma/rentetan/subrentetan-biasa-terpanjang) + * `A` [Padanan Ungkapan Biasa](src/algoritma/rentetan/padanan-ungkapan-biasa) + * **Carian** + * `B` [Carian Linear](src/algorithm/search/linear-search) + * `B` [Cari Lompat](src/algorithm/search/jump-search) (atau Carian Sekat) - cari dalam tatasusunan yang diisih + * `B` [Carian Binari](src/algorithm/search/binary-search) - cari dalam tatasusunan yang diisih + * `B` [Carian Interpolasi](src/algoritma/search/interpolation-search) - cari dalam tatasusunan tersusun yang diedarkan secara seragam +* **Menyusun** + * `B` [Isih Buih](src/algoritma/isih/isih-buih) + * `B` [Isih Pilihan](src/algoritma/isih/isih-pilihan) + * `B` [Isih Sisipan](src/algoritma/isih/isihan-sisipan) + * `B` [Isih Timbunan](src/algoritma/isih/isih-timbun) + * `B` [Isih Gabung](src/algoritma/isih/isih-gabung) + * `B` [Quicksort](src/algorithm/sorting/quick-sort) - pelaksanaan di tempat dan bukan di tempat + * `B` [Shellsort](src/algoritm/sorting/shell-sort) + * `B` [Isih Mengira](src/algoritma/isihan/isihan-kira) + * `B` [Isih Radix](src/algoritma/isih/isih-radix) +* **Senarai Terpaut** + * `B` [Straight Traversal](src/algorithm/linked-list/traversal) + * `B` [Reverse Traversal](src/algorithm/linked-list/reverse-traversal) +* **Pokok** + * `B` [Depth-First Search](src/algorithm/tree/depth-first-search) (DFS) + * `B` [Breadth-First-search](src/algorithm/tree/breadth-first-search) (BFS) +* **Graf** + * `B` [Depth-First Search](src/algorithm/graph/depth-first-search) (DFS) + * `B` [Breadth-First Search](src/algorithm/graph/breadth-first-search) (BFS) + * `B` [Algoritma Kruskal](src/algoritma/graf/kruskal) - mencari Pokok Spanning Minimum (MST) untuk graf tidak berwajaran + * `A` [Algoritma Dijkstra](src/algorithm/graph/dijkstra) - mencari laluan terpendek ke semua bucu graf dari bucu tunggal + * `A` [Algoritma Bellman-Ford](src/algoritma/graf/bellman-ford) - mencari laluan terpendek ke semua bucu graf daripada bucu tunggal + * `A` [Algoritma Floyd-Warshall](src/algorithm/graph/floyd-warshall) - cari laluan terpendek antara semua pasangan bucu + * `A` [Detect Cycle](src/algorithm/graph/detect-cycle) - untuk kedua-dua graf terarah dan tidak terarah (versi berasaskan DFS dan Disjoint Set) + * `A` [Algoritma Prim](src/algoritma/graf/prim) - mencari Pokok Spanning Minimum (MST) untuk graf tidak berwajaran + * `A` [Isih Topologi](src/algoritma/graf/isihan-topologi) - Kaedah DFS + * `A` [Mata Artikulasi](src/algoritma/graf/titik-artikulasi) - Algoritma Tarjan (berasaskan DFS) + * `A` [Bridges](src/algorithm/graph/bridges) - algoritma berasaskan DFS + * `A` [Eulerian Path and Eulerian Circuit](src/algorithm/graph/eulerian-path) - Algoritma Fleury - Lawati setiap tepi tepat sekali + * `A` [Kitaran Hamiltonian](src/algoritma/graf/kitaran-hamilton) - Lawati setiap bucu tepat sekali + * `A` [Komponen Bersambung Kuat](src/algoritma/graf/komponen-kuat-bersambung) - Algoritma Kosaraju + * `A` [Masalah Jurujual Perjalanan](src/algoritma/graf/jurujual-perjalanan) - laluan terpendek mungkin yang melawati setiap bandar dan kembali ke bandar asal +* **Kriptografi** + * `B` [Cincangan Polinomial](src/algoritma/kriptografi/cincang polinomial) - fungsi cincang bergolek berdasarkan polinomial + * `B` [Sifir Pagar Rel](src/algoritma/kriptografi/sifir-pagar-rel) - algoritma sifir transposisi untuk pengekodan mesej + * `B` [Caesar Cipher](src/algoritma/kriptografi/caesar-cipher) - sifir penggantian mudah + * `B` [Sifir Bukit](src/algoritma/kriptografi/sifir bukit) - sifir penggantian berdasarkan algebra linear +* **Pembelajaran Mesin** + * `B` [NanoNeuron](https://github.com/trekhleb/nano-neuron) - 7 fungsi JS mudah yang menggambarkan bagaimana mesin sebenarnya boleh belajar (perambatan ke hadapan/belakang) + * `B` [k-NN](src/algoritma/ml/knn) - algoritma klasifikasi jiran terdekat k + * `B` [k-Means](src/algorithm/ml/k-means) - algoritma pengelompokan k-Means +* **Pemprosesan imej** + * `B` [Ukiran Jahitan](src/algoritma/pemprosesan-imej/ukiran-jahitan) - algoritma saiz semula imej sedar kandungan +* **Statistik** + * `B` [Rawak Berwajaran](src/algoritma/statistik/rawak-wajaran) - pilih item rawak daripada senarai berdasarkan berat item +* **Algoritma evolusi** + * `A` [Algoritma genetik](https://github.com/trekhleb/self-parking-car-evolution) - contoh cara algoritma genetik boleh digunakan untuk melatih kereta letak sendiri + * **Tidak dikategorikan** + * `B` [Menara Hanoi](src/algoritma/tidak dikategorikan/menara-hanoi) + * `B` [Putaran Matriks Persegi](src/algoritma/tidak dikategorikan/putaran-matriks-persegi) - algoritma di tempat + * `B` [Permainan Lompat](src/algoritma/tidak dikategorikan/permainan lompat) - menjejak ke belakang, pengaturcaraan dinamik (atas ke bawah + bawah ke atas) dan contoh tamak + * `B` [Laluan Unik](src/algorithms/uncategorized/unique-paths) - penjejakan ke belakang, pengaturcaraan dinamik dan contoh berasaskan Segitiga Pascal + * `B` [Teres Hujan](src/algoritma/tidak dikategorikan/teres hujan) - memerangkap masalah air hujan (versi pengaturcaraan dinamik dan kekerasan) + * `B` [Tangga Rekursif](src/algoritma/tidak dikategorikan/tangga rekursif) - kira bilangan cara untuk sampai ke atas (4 penyelesaian) + * `B` [Masa Terbaik Untuk Membeli Saham Jual](src/algoritma/tidak dikategorikan/masa-terbaik-untuk-membeli-menjual-saham) - bahagikan dan takluk serta contoh satu laluan + * `A` [Masalah N-Queens](src/algoritma/uncategorized/n-queens) + * `A` [Lawatan Kesatria](src/algoritma/tidak dikategorikan/jelajah kesatria) + +### Algoritma mengikut Paradigma + +Paradigma algoritma ialah kaedah atau pendekatan generik yang mendasari reka bentuk kelas +daripada algoritma. Ia adalah abstraksi yang lebih tinggi daripada tanggapan algoritma, sama seperti an +algoritma adalah abstraksi yang lebih tinggi daripada program komputer. + +* **Brute Force** - lihat semua kemungkinan dan pilih penyelesaian terbaik + * `B` [Carian Linear](src/algorithm/search/linear-search) + * `B` [Rain Terraces](src/algoritma/uncategorized/rain-teres) - memerangkap masalah air hujan + * `B` [Tangga Rekursif](src/algoritma/tak berkategori/tangga rekursif) - kira bilangan cara untuk sampai ke atas + * `A` [Subarray Maksimum](src/algoritma/set/subarray maksimum) + * `A` [Masalah Jurujual Perjalanan](src/algoritma/graf/jurujual-perjalanan) - laluan terpendek mungkin yang melawati setiap bandar dan kembali ke bandar asal + * `A` [Transformasi Fourier Diskret](src/algoritma/matematik/fourier-transform) - menguraikan fungsi masa (suatu isyarat) kepada frekuensi yang membentuknya +* **Rakus** - pilih pilihan terbaik pada masa semasa, tanpa sebarang pertimbangan untuk masa hadapan +* `B` [Permainan Lompat](src/algoritma/tidak dikategorikan/permainan lompat) + * `A` [Masalah Knapsack Tidak Terikat](src/algoritma/set/masalah-knapsack) + * `A` [Algoritma Dijkstra](src/algoritma/graf/dijkstra) - mencari laluan terpendek ke semua bucu graf + * `A` [Algoritma Prim](src/algoritma/graf/prim) - mencari Pokok Spanning Minimum (MST) untuk graf tidak berwajaran + * `A` [Algoritma Kruskal](src/algoritma/graf/kruskal) - mencari Pokok Spanning Minimum (MST) untuk graf tidak berwajaran +* **Divide and Conquer** - bahagikan masalah kepada bahagian yang lebih kecil dan kemudian selesaikan bahagian tersebut + * `B` [Carian Perduaan](src/algoritma/carian/pencarian-perduaan) + * `B` [Menara Hanoi](src/algoritma/tidak dikategorikan/menara-hanoi) + * `B` [Segitiga Pascal](src/algoritma/matematik/segitiga-pascal) + * `B` [Algoritma Euclidean](src/algorithm/math/euclidean-algorithm) - kira Pembahagi Sepunya Terhebat (GCD) + * `B` [Isih Gabung](src/algoritma/isih/isih-gabung) + * `B` [Isih Pantas](src/algoritma/isih/isih-pantas) + * `B` [Carian Kedalaman-Pertama Pokok](src/algoritma/pokok/carian-pertama-dalam) (DFS) + * `B` [Graph Depth-First Search](src/algorithm/graph/depth-first-search) (DFS) + * `B` [Matriks](src/algoritma/matematik/matriks) - menjana dan melintasi matriks pelbagai bentuk + * `B` [Permainan Lompat](src/algoritma/tidak dikategorikan/permainan lompat) + * `B` [Fast Powering](src/algorithm/math/fast-powering) + * `B` [Masa Terbaik Untuk Membeli Saham Jual](src/algoritma/tidak dikategorikan/masa-terbaik-untuk-membeli-menjual-saham) - bahagikan dan takluk serta contoh satu laluan + * `A` [Permutasi](src/algoritma/set/permutasi) (dengan dan tanpa ulangan) + * `A` [Gabungan](src/algoritma/set/gabungan) (dengan dan tanpa ulangan) + * `A` [Subarray Maksimum](src/algoritma/set/subarray maksimum) +* **Pengaturcaraan Dinamik** - bina penyelesaian menggunakan sub-penyelesaian yang ditemui sebelum ini + * `B` [Nombor Fibonacci](src/algoritma/matematik/fibonacci) + * `B` [Permainan Lompat](src/algoritma/tidak dikategorikan/permainan lompat) + * `B` [Laluan Unik](src/algoritma/tidak dikategorikan/laluan-unik) + * `B` [Rain Terraces](src/algoritma/uncategorized/rain-teres) - memerangkap masalah air hujan + + * `B` [Tangga Rekursif](src/algoritma/tak berkategori/tangga rekursif) - kira bilangan cara untuk sampai ke atas + * `B` [Ukiran Jahitan](src/algoritma/pemprosesan-imej/ukiran-jahitan) - algoritma saiz semula imej sedar kandungan + * `A` [Jarak Levenshtein](src/algoritma/rentetan/levenshtein-jarak) - jarak edit minimum antara dua jujukan + * `A` [Turutan Sepunya Terpanjang](src/algoritma/set/susulan-biasa-terpanjang) (LCS) + * `A` [Subrentetan Biasa Terpanjang](src/algoritma/rentetan/subrentetan-biasa-terpanjang) + * `A` [Surutan Bertambah Terpanjang](src/algoritma/set/susulan-bertambah-panjang) + * `A` [Jujukan Sepunya Terpendek](src/algoritma/set/jujukan-sepunya-terpendek) + * `A` [0/1 Masalah Knapsack](src/algoritma/set/knapsack-problem) + * `A` [Pembahagian Integer](src/algoritma/matematik/integer-partition) + * `A` [Subarray Maksimum](src/algoritma/set/subarray maksimum) + * `A` [Algoritma Bellman-Ford](src/algorithm/graph/bellman-ford) - mencari laluan terpendek ke semua bucu graf + * `A` [Algoritma Floyd-Warshall](src/algorithm/graph/floyd-warshall) - cari laluan terpendek antara semua pasangan bucu + * `A` [Padanan Ungkapan Biasa](src/algoritma/rentetan/padanan-ungkapan-biasa) +* **Penjejakan Belakang** - sama seperti kekerasan, cuba jana semua penyelesaian yang mungkin, tetapi setiap kali anda menjana penyelesaian seterusnya anda menguji +jika ia memenuhi semua syarat, dan hanya kemudian terus menjana penyelesaian seterusnya. Jika tidak, mundur, dan teruskan a +jalan yang berbeza untuk mencari penyelesaian. Biasanya traversal DFS bagi ruang keadaan sedang digunakan. + * `B` [Permainan Lompat](src/algoritma/tidak dikategorikan/permainan lompat) + * `B` [Laluan Unik](src/algoritma/tidak dikategorikan/laluan-unik) + * `B` [Set Kuasa](src/algoritma/set/set-kuasa) - semua subset set + * `A` [Kitaran Hamiltonian](src/algoritma/graf/kitaran-hamilton) - Lawati setiap bucu tepat sekali + * `A` [Masalah N-Queens](src/algoritma/uncategorized/n-queens) + * `A` [Lawatan Kesatria](src/algoritma/tidak dikategorikan/jelajah kesatria) + * `A` [Jumlah Gabungan](src/algoritma/set/jumlah-gabungan) - cari semua gabungan yang membentuk jumlah tertentu + + * **Branch & Bound** - ingat penyelesaian kos terendah yang terdapat pada setiap peringkat penjejakan ke belakang +cari, dan gunakan kos penyelesaian kos terendah yang ditemui setakat ini sebagai had yang lebih rendah pada kos +penyelesaian kos termurah untuk masalah, untuk membuang penyelesaian separa dengan kos lebih besar daripada +penyelesaian kos terendah ditemui setakat ini. Biasanya traversal BFS digabungkan dengan traversal DFS of state-space +pokok sedang digunakan. + +## Cara menggunakan repositori ini + +**Pasang semua kebergantungan** + +``` +pemasangan npm +``` + +**Jalankan ESLint** + +Anda mungkin mahu menjalankannya untuk menyemak kualiti kod. + +``` +npm run lint +``` + +**Jalankan semua ujian** + +``` +ujian npm +``` + +**Jalankan ujian mengikut nama** + +``` +ujian npm -- 'LinkedList' +``` + +**Penyelesaian masalah** + +Jika linting atau ujian gagal, cuba padamkan folder `node_modules` dan pasang semula pakej npm: + +``` +rm -rf ./node_modules +npm i +``` + +Juga pastikan anda menggunakan versi Nod yang betul (`>=14.16.0`). Jika anda menggunakan [nvm](https://github.com/nvm-sh/nvm) untuk pengurusan versi Nod, anda boleh menjalankan `nvm use` daripada folder akar projek dan versi yang betul akan diambil. + +**Taman permainan** + +Anda boleh bermain dengan struktur data dan algoritma dalam fail `./src/playground/playground.js` dan tulis +mengujinya dalam `./src/playground/__test__/playground.test.js`. + +Kemudian hanya jalankan arahan berikut untuk menguji sama ada kod taman permainan anda berfungsi seperti yang diharapkan: + +``` +ujian npm -- 'taman permainan' +``` + +## Informasi berguna + +### Rujukan + +[▶ Struktur Data dan Algoritma di YouTube](https://www.youtube.com/playlist?list=PLLXdhg_r2hKA7DPDsunoDZ-Z769jWn4R8) + +### Notasi O Besar + +*Notasi O Besar* digunakan untuk mengklasifikasikan algoritma mengikut cara masa berjalan atau keperluan ruang mereka berkembang apabila saiz input bertambah. +Pada carta di bawah anda mungkin menemui susunan pertumbuhan algoritma yang paling biasa yang dinyatakan dalam tatatanda Big O. + +![Graf O Besar](./assets/big-o-graph.png) + +Sumber: [Big O Cheat Sheet](http://bigocheatsheet.com/). + +Di bawah ialah senarai beberapa tatatanda Big O yang paling banyak digunakan dan perbandingan prestasinya terhadap saiz data input yang berbeza. + +| Notasi O Besar | Taip | Pengiraan untuk 10 elemen | Pengiraan untuk 100 elemen | Pengiraan untuk 1000 elemen | +| -------------- | ----------- | ---------------------------- | ---------------------------- | ------------------------------- | +| **O(1)** | Malar | 1 | 1 | 1 | +| **O(log N)** | Logaritma | 3 | 6 | 9 | +| **O(N)** | Linear | 10 | 100 | 1000 | +| **O(N log N)** | n log(n) | 30 | 600 | 9000 | +| **O(N^2)** | Kuadratik | 100 | 10000 | 1000000 | +| **O(2^N)** | Eksponen | 1024 | 1.26e+29 | 1.07e+301 | +| **O(N!)** | Faktorial | 3628800 | 9.3e+157 | 4.02e+2567 + +### Kerumitan Operasi Struktur Data + +| Struktur Data | Akses | Cari | Sisipan | Pemadaman | Komen | +| ------------------------ | :-------: | :-------: | :-------: | :-------: | :-------- | +| **Array** | 1 | n | n | n | | +| **Timbunan** | n | n | 1 | 1 | | +| **Beratur** | n | n | 1 | 1 | | +| **Senarai Terpaut** | n | n | 1 | n | | +| **Jadual Hash** | - | n | n | n | Dalam kes kos fungsi cincang yang sempurna ialah O(1) | +| **Pokok Carian Binari** | n | n | n | n | Dalam kes kos pokok seimbang ialah O(log(n)) | +| **B-Tree** | log(n) | log(n) | log(n) | log(n) | | +| **Pokok Merah-Hitam** | log(n) | log(n) | log(n) | log(n) | | +| **Pokok AVL** | log(n) | log(n) | log(n) | log(n) | | +| **Penapis Bloom** | - | 1 | 1 | - | Positif palsu mungkin semasa mencari | + +### Kerumitan Algoritma Pengisihan Tatasusunan + +| Nama | Terbaik | Purata | Paling teruk | Memori | Stabil | Komen | +| ---------------------- | :-------------: | :-----------------: | :-----------------: | :-------: | :-------: | :-------- | +| **Isih gelembung** | n | n2 | n2 | 1 | Ya | | +| **Isihan sisipan** | n | n2 | n2 | 1 | Ya | | +| **Isih pilihan** | n2 | n2 | n2 | 1 | Tidak | | +| **Isihan timbunan** | n log(n) | n log(n) | n log(n) | 1 | Tidak | | +| **Isih gabung** | n log(n) | n log(n) | n log(n) | n | Ya | | +| **Isih cepat** | n log(n) | n log(n) | n2 | log(n) | Tidak | Quicksort biasanya dilakukan di tempat dengan ruang tindanan O(log(n)) | +| **Isih cangkerang** | n log(n) | bergantung pada jujukan jurang | n (log(n))2 | 1 | Tidak | | +| **Isih mengira** | n + r | n + r | n + r | n + r | Ya | r - nombor terbesar dalam tatasusunan | +| **Isih Radix** | n * k | n * k | n * k | n + k | Ya | k - panjang kunci terpanjang | + +## Penyokong Projek + +> Anda boleh menyokong projek ini melalui ❤️️ [GitHub](https://github.com/sponsors/trekhleb) atau ❤️️ [Patreon](https://www.patreon.com/trekhleb). + +[Orang yang menyokong projek ini](https://github.com/trekhleb/javascript-algorithms/blob/master/BACKERS.md) `∑ = 0` + +> ℹ️ Beberapa lagi [projek](https://trekhleb.dev/projects/) dan [artikel](https://trekhleb.dev/blog/) tentang JavaScript dan algoritma pada [trekhleb.dev](https:/ /trekhleb.dev) \ No newline at end of file diff --git a/README.md b/README.md index c9c6258769..0392aefb96 100644 --- a/README.md +++ b/README.md @@ -279,7 +279,7 @@ npm test -- 'LinkedList' **Troubleshooting** -In case if linting or testing is failing try to delete the `node_modules` folder and re-install npm packages: +If linting or testing is failing, try to delete the `node_modules` folder and re-install npm packages: ``` rm -rf ./node_modules diff --git a/src/algorithms/graph/breadth-first-search/README.md b/src/algorithms/graph/breadth-first-search/README.md index 32ec3e815c..06073abd8b 100644 --- a/src/algorithms/graph/breadth-first-search/README.md +++ b/src/algorithms/graph/breadth-first-search/README.md @@ -1,7 +1,7 @@ # Breadth-First Search (BFS) -Breadth-first search (BFS) is an algorithm for traversing -or searching tree or graph data structures. It starts at +Breadth-first search (BFS) is an algorithm for traversing, +searching tree, or graph data structures. It starts at the tree root (or some arbitrary node of a graph, sometimes referred to as a 'search key') and explores the neighbor nodes first, before moving to the next level neighbors. From a123b9017d53a54853401b21382828b65c712e71 Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Mon, 5 Dec 2022 08:06:38 +0100 Subject: [PATCH 04/50] Reverting Malay translation since most of the links are not working --- README.ma-MA.md | 364 ------------------------------------------------ 1 file changed, 364 deletions(-) delete mode 100644 README.ma-MA.md diff --git a/README.ma-MA.md b/README.ma-MA.md deleted file mode 100644 index 0f75b78a12..0000000000 --- a/README.ma-MA.md +++ /dev/null @@ -1,364 +0,0 @@ -# Algoritma JavaScript dan Struktur Data - -> 🇺🇦 UKRAINE [SEDANG DISERANG](https://twitter.com/MFA_Ukraine) OLEH TENTERA RUSIA. ORANG AWAM SEMAKIN DIBUNUH. KAWASAN KEDIAMAN SEMAKIN DIBOM. -> - Bantu Ukraine melalui [Bank Negara Ukraine](https://bank.gov.ua/en/news/all/natsionalniy-bank-vidkriv-spetsrahunok-dlya-zboru-koshtiv-na-potrebi-armiyi) -> - Bantu Ukraine melalui dana [SaveLife](https://savelife.in.ua/en/donate-en/) -> - Maklumat lanjut tentang [war.ukraine.ua](https://war.ukraine.ua/) - -[![CI](https://github.com/trekhleb/javascript-algorithms/workflows/CI/badge.svg)](https://github.com/trekhleb/javascript-algorithms/actions?query=workflow% 3ACI+cawangan%3Amaster) -[![codecov](https://codecov.io/gh/trekhleb/javascript-algorithms/branch/master/graph/badge.svg)](https://codecov.io/gh/trekhleb/javascript-algorithms) - -Repositori ini mengandungi banyak contoh berasaskan JavaScript -algoritma dan struktur data yang popular. - -Setiap algoritma dan struktur data mempunyai README tersendiri -dengan penjelasan dan pautan berkaitan untuk bacaan lanjut (termasuk yang -kepada video YouTube). - -_Baca ini dalam bahasa lain:_ -[_简体中文_](README.zh-CN.md), -[_繁體中文_](README.zh-TW.md), -[_한국어_](README.ko-KR.md), -[_日本語_](README.ja-JP.md), -[_Polski_](README.pl-PL.md), -[_Français_](README.fr-FR.md), -[_Español_](README.es-ES.md), -[_Português_](README.pt-BR.md), -[_Русский_](README.ru-RU.md), -[_Türk_](README.tr-TR.md), -[_Italiana_](README.it-IT.md), -[_Bahasa Indonesia_](README.id-ID.md), -[_Українська_](README.uk-UA.md), -[_Arab_](README.ar-AR.md), -[_Tiếng Việt_](README.vi-VN.md), -[_Deutsch_](README.de-DE.md) - -*☝ Ambil perhatian bahawa projek ini bertujuan untuk digunakan untuk tujuan pembelajaran dan penyelidikan -sahaja, dan ia **tidak** bertujuan untuk digunakan untuk pengeluaran.* - -## Struktur Data - -Struktur data ialah cara tertentu untuk mengatur dan menyimpan data dalam komputer supaya ia boleh -boleh diakses dan diubah suai dengan cekap. Lebih tepat lagi, struktur data ialah himpunan data -nilai, hubungan di antara mereka, dan fungsi atau operasi yang boleh digunakan -data itu. - -`B` - Pemula, `A` - Lanjutan - -* `B` [Senarai Terpaut](src/struktur-data/senarai-terpaut) -* `B` [Senarai Terpaut Berganda](src/struktur-data/senarai-berpaut-dua) -* `B` [Barisan](src/struktur-data/baris gilir) -* `B` [Timbunan](src/struktur-data/tindanan) -* `B` [Jadual Hash](src/struktur-data/jadual cincang) -* `B` [Timbunan](src/struktur-data/timbunan) - versi timbunan maks dan min -* `B` [Baris Keutamaan](src/struktur-data/baris gilir keutamaan) -* `A` [Trie](src/data-structures/trie) -* `A` [Pokok](src/struktur-data/pokok) - * `A` [Pokok Carian Perduaan](src/struktur-data/pokok/pokok-cari-perduaan) - * `A` [AVL Tree](src/data-structures/tree/avl-tree) - * `A` [Pokok Merah-Hitam](src/struktur-data/pokok/pokok-merah-hitam) - * `A` [Pokok Segmen](src/data-structures/tree/segment-tree) - dengan contoh pertanyaan julat min/maks/jumlah - * `A` [Pokok Fenwick](src/struktur-data/pokok/pokok-fenwick) (Pokok Berindeks Perduaan) -* `A` [Graf](src/struktur-data/graf) (kedua-dua terarah dan tidak terarah) -* `A` [Set Terpisah](src/struktur-data/set-terpisah) -* `A` [Bloom Filter](src/data-structures/bloom-filter) - -## Algoritma - -Algoritma ialah spesifikasi yang tidak jelas tentang cara menyelesaikan kelas masalah. Ia adalah -satu set peraturan yang mentakrifkan dengan tepat urutan operasi. - -`B` - Pemula, `A` - Lanjutan - -### Algoritma mengikut Topik - -* **Matematik** - * `B` [Manipulasi Bit](src/algoritma/matematik/bit) - set/dapatkan/kemas kini/kosongkan bit, darab/bahagi dengan dua, jadikan negatif dsb. - * `B` [Titik Terapung Perduaan](src/algoritma/matematik/titik terapung binari) - perwakilan binari nombor titik terapung. - * `B` [Factorial](src/algoritma/matematik/faktorial) - * `B` [Nombor Fibonacci](src/algoritma/matematik/fibonacci) - versi klasik dan bentuk tertutup - * `B` [Faktor Perdana](src/algoritma/matematik/faktor-prima) - mencari faktor perdana dan mengiranya menggunakan teorem Hardy-Ramanujan - * `B` [Ujian Primaliti](src/algoritma/matematik/ujian-primaliti) (kaedah pembahagian percubaan) - * `B` [Algoritma Euclidean](src/algorithm/math/euclidean-algorithm) - kira Pembahagi Sepunya Terhebat (GCD) - * `B` [Garab Sepunya Terkecil](src/algoritma/matematik/bilangan-paling-biasa) (LCM) - * `B` [Ayak Eratosthenes](src/algoritma/matematik/ayak-eratosthenes) - mencari semua nombor perdana sehingga mana-mana had tertentu - * `B` [Adalah Kuasa Dua](src/algoritma/math/is-power-of-two) - semak sama ada nombor itu kuasa dua (algoritma naif dan bitwise) - * `B` [Segitiga Pascal](src/algoritma/matematik/segitiga-pascal) - * `B` [Nombor Kompleks](src/algoritma/matematik/nombor-kompleks) - nombor kompleks dan operasi asas dengannya - * `B` [Radian & Darjah](src/algoritma/matematik/radian) - penukaran radian kepada darjah dan ke belakang - * `B` [Fast Powering](src/algorithm/math/fast-powering) - * `B` [Kaedah Horner](src/algoritma/matematik/kaedah-horner) - penilaian polinomial - * `B` [Matriks](src/algoritma/matematik/matriks) - matriks dan operasi matriks asas (pendaraban, transposisi, dsb.) - * `B` [Jarak Euclidean](src/algoritma/matematik/jarak-euclidean) - jarak antara dua titik/vektor/matriks - * `A` [Pembahagian Integer](src/algoritma/matematik/integer-partition) - * `A` [Akar Kuasa Dua](src/algoritma/matematik/akar-kuadrat) - Kaedah Newton - * `A` [Algoritma Liu Hui π](src/algoritma/math/liu-hui) - anggaran π pengiraan berdasarkan N-gons - * `A` [Transformasi Fourier Diskret](src/algoritma/matematik/fourier-transform) - menguraikan fungsi masa (suatu isyarat) kepada frekuensi yang membentuknya -* **Set** - * `B` [Produk Cartesian](src/algoritma/set/produk cartesian) - hasil daripada berbilang set - * `B` [Fisher–Yates Shuffle](src/algoritma/sets/fisher-yates) - pilih atur rawak bagi urutan terhingga - * `A` [Set Kuasa](src/algoritma/set/set-kuasa) - semua subset set (penyelesaian bitwise dan backtracking) - * `A` [Permutasi](src/algoritma/set/permutasi) (dengan dan tanpa ulangan) - * `A` [Gabungan](src/algoritma/set/gabungan) (dengan dan tanpa ulangan) - * `A` [Turutan Sepunya Terpanjang](src/algoritma/set/susulan-biasa-terpanjang) (LCS) - * `A` [Surutan Bertambah Terpanjang](src/algoritma/set/susulan-bertambah-panjang) - * `A` [Jurutan Sepunya Terpendek](src/algoritma/set/jujukan-sepunya-terpendek) (SCS) - * `A` [Masalah Knapsack](src/algorithms/sets/knapsack-problem) - "0/1" dan "Unbound" - * `A` [Maximum Subarray](src/algorithm/sets/maximum-subarray) - versi "Brute Force" dan "Dynamic Programming" (Kadane's) - * `A` [Jumlah Gabungan](src/algoritma/set/jumlah-gabungan) - cari semua gabungan yang membentuk jumlah tertentu -* **Rentetan** - * `B` [Jarak Hamming](src/algoritma/rentetan/jarak hamming) - bilangan kedudukan di mana simbol berbeza - * `B` [Palindrome](src/algorithm/string/palindrome) - semak sama ada rentetan adalah sama secara terbalik - * `A` [Jarak Levenshtein](src/algoritma/rentetan/levenshtein-jarak) - jarak edit minimum antara dua jujukan - * `A` [Algoritma Knuth–Morris–Pratt](src/algorithm/string/knuth-morris-pratt) (Algoritma KMP) - carian subrentetan (padanan corak) - * `A` [Z Algoritma](src/algorithm/string/z-algorithm) - carian subrentetan (padanan corak) - * `A` [Algoritma Rabin Karp](src/algorithm/string/rabin-karp) - carian subrentetan - * `A` [Subrentetan Biasa Terpanjang](src/algoritma/rentetan/subrentetan-biasa-terpanjang) - * `A` [Padanan Ungkapan Biasa](src/algoritma/rentetan/padanan-ungkapan-biasa) - * **Carian** - * `B` [Carian Linear](src/algorithm/search/linear-search) - * `B` [Cari Lompat](src/algorithm/search/jump-search) (atau Carian Sekat) - cari dalam tatasusunan yang diisih - * `B` [Carian Binari](src/algorithm/search/binary-search) - cari dalam tatasusunan yang diisih - * `B` [Carian Interpolasi](src/algoritma/search/interpolation-search) - cari dalam tatasusunan tersusun yang diedarkan secara seragam -* **Menyusun** - * `B` [Isih Buih](src/algoritma/isih/isih-buih) - * `B` [Isih Pilihan](src/algoritma/isih/isih-pilihan) - * `B` [Isih Sisipan](src/algoritma/isih/isihan-sisipan) - * `B` [Isih Timbunan](src/algoritma/isih/isih-timbun) - * `B` [Isih Gabung](src/algoritma/isih/isih-gabung) - * `B` [Quicksort](src/algorithm/sorting/quick-sort) - pelaksanaan di tempat dan bukan di tempat - * `B` [Shellsort](src/algoritm/sorting/shell-sort) - * `B` [Isih Mengira](src/algoritma/isihan/isihan-kira) - * `B` [Isih Radix](src/algoritma/isih/isih-radix) -* **Senarai Terpaut** - * `B` [Straight Traversal](src/algorithm/linked-list/traversal) - * `B` [Reverse Traversal](src/algorithm/linked-list/reverse-traversal) -* **Pokok** - * `B` [Depth-First Search](src/algorithm/tree/depth-first-search) (DFS) - * `B` [Breadth-First-search](src/algorithm/tree/breadth-first-search) (BFS) -* **Graf** - * `B` [Depth-First Search](src/algorithm/graph/depth-first-search) (DFS) - * `B` [Breadth-First Search](src/algorithm/graph/breadth-first-search) (BFS) - * `B` [Algoritma Kruskal](src/algoritma/graf/kruskal) - mencari Pokok Spanning Minimum (MST) untuk graf tidak berwajaran - * `A` [Algoritma Dijkstra](src/algorithm/graph/dijkstra) - mencari laluan terpendek ke semua bucu graf dari bucu tunggal - * `A` [Algoritma Bellman-Ford](src/algoritma/graf/bellman-ford) - mencari laluan terpendek ke semua bucu graf daripada bucu tunggal - * `A` [Algoritma Floyd-Warshall](src/algorithm/graph/floyd-warshall) - cari laluan terpendek antara semua pasangan bucu - * `A` [Detect Cycle](src/algorithm/graph/detect-cycle) - untuk kedua-dua graf terarah dan tidak terarah (versi berasaskan DFS dan Disjoint Set) - * `A` [Algoritma Prim](src/algoritma/graf/prim) - mencari Pokok Spanning Minimum (MST) untuk graf tidak berwajaran - * `A` [Isih Topologi](src/algoritma/graf/isihan-topologi) - Kaedah DFS - * `A` [Mata Artikulasi](src/algoritma/graf/titik-artikulasi) - Algoritma Tarjan (berasaskan DFS) - * `A` [Bridges](src/algorithm/graph/bridges) - algoritma berasaskan DFS - * `A` [Eulerian Path and Eulerian Circuit](src/algorithm/graph/eulerian-path) - Algoritma Fleury - Lawati setiap tepi tepat sekali - * `A` [Kitaran Hamiltonian](src/algoritma/graf/kitaran-hamilton) - Lawati setiap bucu tepat sekali - * `A` [Komponen Bersambung Kuat](src/algoritma/graf/komponen-kuat-bersambung) - Algoritma Kosaraju - * `A` [Masalah Jurujual Perjalanan](src/algoritma/graf/jurujual-perjalanan) - laluan terpendek mungkin yang melawati setiap bandar dan kembali ke bandar asal -* **Kriptografi** - * `B` [Cincangan Polinomial](src/algoritma/kriptografi/cincang polinomial) - fungsi cincang bergolek berdasarkan polinomial - * `B` [Sifir Pagar Rel](src/algoritma/kriptografi/sifir-pagar-rel) - algoritma sifir transposisi untuk pengekodan mesej - * `B` [Caesar Cipher](src/algoritma/kriptografi/caesar-cipher) - sifir penggantian mudah - * `B` [Sifir Bukit](src/algoritma/kriptografi/sifir bukit) - sifir penggantian berdasarkan algebra linear -* **Pembelajaran Mesin** - * `B` [NanoNeuron](https://github.com/trekhleb/nano-neuron) - 7 fungsi JS mudah yang menggambarkan bagaimana mesin sebenarnya boleh belajar (perambatan ke hadapan/belakang) - * `B` [k-NN](src/algoritma/ml/knn) - algoritma klasifikasi jiran terdekat k - * `B` [k-Means](src/algorithm/ml/k-means) - algoritma pengelompokan k-Means -* **Pemprosesan imej** - * `B` [Ukiran Jahitan](src/algoritma/pemprosesan-imej/ukiran-jahitan) - algoritma saiz semula imej sedar kandungan -* **Statistik** - * `B` [Rawak Berwajaran](src/algoritma/statistik/rawak-wajaran) - pilih item rawak daripada senarai berdasarkan berat item -* **Algoritma evolusi** - * `A` [Algoritma genetik](https://github.com/trekhleb/self-parking-car-evolution) - contoh cara algoritma genetik boleh digunakan untuk melatih kereta letak sendiri - * **Tidak dikategorikan** - * `B` [Menara Hanoi](src/algoritma/tidak dikategorikan/menara-hanoi) - * `B` [Putaran Matriks Persegi](src/algoritma/tidak dikategorikan/putaran-matriks-persegi) - algoritma di tempat - * `B` [Permainan Lompat](src/algoritma/tidak dikategorikan/permainan lompat) - menjejak ke belakang, pengaturcaraan dinamik (atas ke bawah + bawah ke atas) dan contoh tamak - * `B` [Laluan Unik](src/algorithms/uncategorized/unique-paths) - penjejakan ke belakang, pengaturcaraan dinamik dan contoh berasaskan Segitiga Pascal - * `B` [Teres Hujan](src/algoritma/tidak dikategorikan/teres hujan) - memerangkap masalah air hujan (versi pengaturcaraan dinamik dan kekerasan) - * `B` [Tangga Rekursif](src/algoritma/tidak dikategorikan/tangga rekursif) - kira bilangan cara untuk sampai ke atas (4 penyelesaian) - * `B` [Masa Terbaik Untuk Membeli Saham Jual](src/algoritma/tidak dikategorikan/masa-terbaik-untuk-membeli-menjual-saham) - bahagikan dan takluk serta contoh satu laluan - * `A` [Masalah N-Queens](src/algoritma/uncategorized/n-queens) - * `A` [Lawatan Kesatria](src/algoritma/tidak dikategorikan/jelajah kesatria) - -### Algoritma mengikut Paradigma - -Paradigma algoritma ialah kaedah atau pendekatan generik yang mendasari reka bentuk kelas -daripada algoritma. Ia adalah abstraksi yang lebih tinggi daripada tanggapan algoritma, sama seperti an -algoritma adalah abstraksi yang lebih tinggi daripada program komputer. - -* **Brute Force** - lihat semua kemungkinan dan pilih penyelesaian terbaik - * `B` [Carian Linear](src/algorithm/search/linear-search) - * `B` [Rain Terraces](src/algoritma/uncategorized/rain-teres) - memerangkap masalah air hujan - * `B` [Tangga Rekursif](src/algoritma/tak berkategori/tangga rekursif) - kira bilangan cara untuk sampai ke atas - * `A` [Subarray Maksimum](src/algoritma/set/subarray maksimum) - * `A` [Masalah Jurujual Perjalanan](src/algoritma/graf/jurujual-perjalanan) - laluan terpendek mungkin yang melawati setiap bandar dan kembali ke bandar asal - * `A` [Transformasi Fourier Diskret](src/algoritma/matematik/fourier-transform) - menguraikan fungsi masa (suatu isyarat) kepada frekuensi yang membentuknya -* **Rakus** - pilih pilihan terbaik pada masa semasa, tanpa sebarang pertimbangan untuk masa hadapan -* `B` [Permainan Lompat](src/algoritma/tidak dikategorikan/permainan lompat) - * `A` [Masalah Knapsack Tidak Terikat](src/algoritma/set/masalah-knapsack) - * `A` [Algoritma Dijkstra](src/algoritma/graf/dijkstra) - mencari laluan terpendek ke semua bucu graf - * `A` [Algoritma Prim](src/algoritma/graf/prim) - mencari Pokok Spanning Minimum (MST) untuk graf tidak berwajaran - * `A` [Algoritma Kruskal](src/algoritma/graf/kruskal) - mencari Pokok Spanning Minimum (MST) untuk graf tidak berwajaran -* **Divide and Conquer** - bahagikan masalah kepada bahagian yang lebih kecil dan kemudian selesaikan bahagian tersebut - * `B` [Carian Perduaan](src/algoritma/carian/pencarian-perduaan) - * `B` [Menara Hanoi](src/algoritma/tidak dikategorikan/menara-hanoi) - * `B` [Segitiga Pascal](src/algoritma/matematik/segitiga-pascal) - * `B` [Algoritma Euclidean](src/algorithm/math/euclidean-algorithm) - kira Pembahagi Sepunya Terhebat (GCD) - * `B` [Isih Gabung](src/algoritma/isih/isih-gabung) - * `B` [Isih Pantas](src/algoritma/isih/isih-pantas) - * `B` [Carian Kedalaman-Pertama Pokok](src/algoritma/pokok/carian-pertama-dalam) (DFS) - * `B` [Graph Depth-First Search](src/algorithm/graph/depth-first-search) (DFS) - * `B` [Matriks](src/algoritma/matematik/matriks) - menjana dan melintasi matriks pelbagai bentuk - * `B` [Permainan Lompat](src/algoritma/tidak dikategorikan/permainan lompat) - * `B` [Fast Powering](src/algorithm/math/fast-powering) - * `B` [Masa Terbaik Untuk Membeli Saham Jual](src/algoritma/tidak dikategorikan/masa-terbaik-untuk-membeli-menjual-saham) - bahagikan dan takluk serta contoh satu laluan - * `A` [Permutasi](src/algoritma/set/permutasi) (dengan dan tanpa ulangan) - * `A` [Gabungan](src/algoritma/set/gabungan) (dengan dan tanpa ulangan) - * `A` [Subarray Maksimum](src/algoritma/set/subarray maksimum) -* **Pengaturcaraan Dinamik** - bina penyelesaian menggunakan sub-penyelesaian yang ditemui sebelum ini - * `B` [Nombor Fibonacci](src/algoritma/matematik/fibonacci) - * `B` [Permainan Lompat](src/algoritma/tidak dikategorikan/permainan lompat) - * `B` [Laluan Unik](src/algoritma/tidak dikategorikan/laluan-unik) - * `B` [Rain Terraces](src/algoritma/uncategorized/rain-teres) - memerangkap masalah air hujan - - * `B` [Tangga Rekursif](src/algoritma/tak berkategori/tangga rekursif) - kira bilangan cara untuk sampai ke atas - * `B` [Ukiran Jahitan](src/algoritma/pemprosesan-imej/ukiran-jahitan) - algoritma saiz semula imej sedar kandungan - * `A` [Jarak Levenshtein](src/algoritma/rentetan/levenshtein-jarak) - jarak edit minimum antara dua jujukan - * `A` [Turutan Sepunya Terpanjang](src/algoritma/set/susulan-biasa-terpanjang) (LCS) - * `A` [Subrentetan Biasa Terpanjang](src/algoritma/rentetan/subrentetan-biasa-terpanjang) - * `A` [Surutan Bertambah Terpanjang](src/algoritma/set/susulan-bertambah-panjang) - * `A` [Jujukan Sepunya Terpendek](src/algoritma/set/jujukan-sepunya-terpendek) - * `A` [0/1 Masalah Knapsack](src/algoritma/set/knapsack-problem) - * `A` [Pembahagian Integer](src/algoritma/matematik/integer-partition) - * `A` [Subarray Maksimum](src/algoritma/set/subarray maksimum) - * `A` [Algoritma Bellman-Ford](src/algorithm/graph/bellman-ford) - mencari laluan terpendek ke semua bucu graf - * `A` [Algoritma Floyd-Warshall](src/algorithm/graph/floyd-warshall) - cari laluan terpendek antara semua pasangan bucu - * `A` [Padanan Ungkapan Biasa](src/algoritma/rentetan/padanan-ungkapan-biasa) -* **Penjejakan Belakang** - sama seperti kekerasan, cuba jana semua penyelesaian yang mungkin, tetapi setiap kali anda menjana penyelesaian seterusnya anda menguji -jika ia memenuhi semua syarat, dan hanya kemudian terus menjana penyelesaian seterusnya. Jika tidak, mundur, dan teruskan a -jalan yang berbeza untuk mencari penyelesaian. Biasanya traversal DFS bagi ruang keadaan sedang digunakan. - * `B` [Permainan Lompat](src/algoritma/tidak dikategorikan/permainan lompat) - * `B` [Laluan Unik](src/algoritma/tidak dikategorikan/laluan-unik) - * `B` [Set Kuasa](src/algoritma/set/set-kuasa) - semua subset set - * `A` [Kitaran Hamiltonian](src/algoritma/graf/kitaran-hamilton) - Lawati setiap bucu tepat sekali - * `A` [Masalah N-Queens](src/algoritma/uncategorized/n-queens) - * `A` [Lawatan Kesatria](src/algoritma/tidak dikategorikan/jelajah kesatria) - * `A` [Jumlah Gabungan](src/algoritma/set/jumlah-gabungan) - cari semua gabungan yang membentuk jumlah tertentu - - * **Branch & Bound** - ingat penyelesaian kos terendah yang terdapat pada setiap peringkat penjejakan ke belakang -cari, dan gunakan kos penyelesaian kos terendah yang ditemui setakat ini sebagai had yang lebih rendah pada kos -penyelesaian kos termurah untuk masalah, untuk membuang penyelesaian separa dengan kos lebih besar daripada -penyelesaian kos terendah ditemui setakat ini. Biasanya traversal BFS digabungkan dengan traversal DFS of state-space -pokok sedang digunakan. - -## Cara menggunakan repositori ini - -**Pasang semua kebergantungan** - -``` -pemasangan npm -``` - -**Jalankan ESLint** - -Anda mungkin mahu menjalankannya untuk menyemak kualiti kod. - -``` -npm run lint -``` - -**Jalankan semua ujian** - -``` -ujian npm -``` - -**Jalankan ujian mengikut nama** - -``` -ujian npm -- 'LinkedList' -``` - -**Penyelesaian masalah** - -Jika linting atau ujian gagal, cuba padamkan folder `node_modules` dan pasang semula pakej npm: - -``` -rm -rf ./node_modules -npm i -``` - -Juga pastikan anda menggunakan versi Nod yang betul (`>=14.16.0`). Jika anda menggunakan [nvm](https://github.com/nvm-sh/nvm) untuk pengurusan versi Nod, anda boleh menjalankan `nvm use` daripada folder akar projek dan versi yang betul akan diambil. - -**Taman permainan** - -Anda boleh bermain dengan struktur data dan algoritma dalam fail `./src/playground/playground.js` dan tulis -mengujinya dalam `./src/playground/__test__/playground.test.js`. - -Kemudian hanya jalankan arahan berikut untuk menguji sama ada kod taman permainan anda berfungsi seperti yang diharapkan: - -``` -ujian npm -- 'taman permainan' -``` - -## Informasi berguna - -### Rujukan - -[▶ Struktur Data dan Algoritma di YouTube](https://www.youtube.com/playlist?list=PLLXdhg_r2hKA7DPDsunoDZ-Z769jWn4R8) - -### Notasi O Besar - -*Notasi O Besar* digunakan untuk mengklasifikasikan algoritma mengikut cara masa berjalan atau keperluan ruang mereka berkembang apabila saiz input bertambah. -Pada carta di bawah anda mungkin menemui susunan pertumbuhan algoritma yang paling biasa yang dinyatakan dalam tatatanda Big O. - -![Graf O Besar](./assets/big-o-graph.png) - -Sumber: [Big O Cheat Sheet](http://bigocheatsheet.com/). - -Di bawah ialah senarai beberapa tatatanda Big O yang paling banyak digunakan dan perbandingan prestasinya terhadap saiz data input yang berbeza. - -| Notasi O Besar | Taip | Pengiraan untuk 10 elemen | Pengiraan untuk 100 elemen | Pengiraan untuk 1000 elemen | -| -------------- | ----------- | ---------------------------- | ---------------------------- | ------------------------------- | -| **O(1)** | Malar | 1 | 1 | 1 | -| **O(log N)** | Logaritma | 3 | 6 | 9 | -| **O(N)** | Linear | 10 | 100 | 1000 | -| **O(N log N)** | n log(n) | 30 | 600 | 9000 | -| **O(N^2)** | Kuadratik | 100 | 10000 | 1000000 | -| **O(2^N)** | Eksponen | 1024 | 1.26e+29 | 1.07e+301 | -| **O(N!)** | Faktorial | 3628800 | 9.3e+157 | 4.02e+2567 - -### Kerumitan Operasi Struktur Data - -| Struktur Data | Akses | Cari | Sisipan | Pemadaman | Komen | -| ------------------------ | :-------: | :-------: | :-------: | :-------: | :-------- | -| **Array** | 1 | n | n | n | | -| **Timbunan** | n | n | 1 | 1 | | -| **Beratur** | n | n | 1 | 1 | | -| **Senarai Terpaut** | n | n | 1 | n | | -| **Jadual Hash** | - | n | n | n | Dalam kes kos fungsi cincang yang sempurna ialah O(1) | -| **Pokok Carian Binari** | n | n | n | n | Dalam kes kos pokok seimbang ialah O(log(n)) | -| **B-Tree** | log(n) | log(n) | log(n) | log(n) | | -| **Pokok Merah-Hitam** | log(n) | log(n) | log(n) | log(n) | | -| **Pokok AVL** | log(n) | log(n) | log(n) | log(n) | | -| **Penapis Bloom** | - | 1 | 1 | - | Positif palsu mungkin semasa mencari | - -### Kerumitan Algoritma Pengisihan Tatasusunan - -| Nama | Terbaik | Purata | Paling teruk | Memori | Stabil | Komen | -| ---------------------- | :-------------: | :-----------------: | :-----------------: | :-------: | :-------: | :-------- | -| **Isih gelembung** | n | n2 | n2 | 1 | Ya | | -| **Isihan sisipan** | n | n2 | n2 | 1 | Ya | | -| **Isih pilihan** | n2 | n2 | n2 | 1 | Tidak | | -| **Isihan timbunan** | n log(n) | n log(n) | n log(n) | 1 | Tidak | | -| **Isih gabung** | n log(n) | n log(n) | n log(n) | n | Ya | | -| **Isih cepat** | n log(n) | n log(n) | n2 | log(n) | Tidak | Quicksort biasanya dilakukan di tempat dengan ruang tindanan O(log(n)) | -| **Isih cangkerang** | n log(n) | bergantung pada jujukan jurang | n (log(n))2 | 1 | Tidak | | -| **Isih mengira** | n + r | n + r | n + r | n + r | Ya | r - nombor terbesar dalam tatasusunan | -| **Isih Radix** | n * k | n * k | n * k | n + k | Ya | k - panjang kunci terpanjang | - -## Penyokong Projek - -> Anda boleh menyokong projek ini melalui ❤️️ [GitHub](https://github.com/sponsors/trekhleb) atau ❤️️ [Patreon](https://www.patreon.com/trekhleb). - -[Orang yang menyokong projek ini](https://github.com/trekhleb/javascript-algorithms/blob/master/BACKERS.md) `∑ = 0` - -> ℹ️ Beberapa lagi [projek](https://trekhleb.dev/projects/) dan [artikel](https://trekhleb.dev/blog/) tentang JavaScript dan algoritma pada [trekhleb.dev](https:/ /trekhleb.dev) \ No newline at end of file From 65e4a7c8b35914e70bfc2b7cbc58c5a9f654db53 Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Fri, 6 Jan 2023 14:37:36 +0100 Subject: [PATCH 05/50] Adding a simple cascading solution to generate a Power Set (#975) * Add a simple cascading version of generating a PowerSet. * Update README. * Update README. * Update README. --- README.md | 2 +- src/algorithms/sets/power-set/README.md | 60 +++++++++++++++---- .../power-set/__test__/caPowerSet.test.js | 28 +++++++++ src/algorithms/sets/power-set/caPowerSet.js | 37 ++++++++++++ 4 files changed, 115 insertions(+), 12 deletions(-) create mode 100644 src/algorithms/sets/power-set/__test__/caPowerSet.test.js create mode 100644 src/algorithms/sets/power-set/caPowerSet.js diff --git a/README.md b/README.md index 0392aefb96..8836940696 100644 --- a/README.md +++ b/README.md @@ -99,7 +99,7 @@ a set of rules that precisely define a sequence of operations. * **Sets** * `B` [Cartesian Product](src/algorithms/sets/cartesian-product) - product of multiple sets * `B` [Fisher–Yates Shuffle](src/algorithms/sets/fisher-yates) - random permutation of a finite sequence - * `A` [Power Set](src/algorithms/sets/power-set) - all subsets of a set (bitwise and backtracking solutions) + * `A` [Power Set](src/algorithms/sets/power-set) - all subsets of a set (bitwise, backtracking, and cascading solutions) * `A` [Permutations](src/algorithms/sets/permutations) (with and without repetitions) * `A` [Combinations](src/algorithms/sets/combinations) (with and without repetitions) * `A` [Longest Common Subsequence](src/algorithms/sets/longest-common-subsequence) (LCS) diff --git a/src/algorithms/sets/power-set/README.md b/src/algorithms/sets/power-set/README.md index cfe791aeb2..e96961dd8f 100644 --- a/src/algorithms/sets/power-set/README.md +++ b/src/algorithms/sets/power-set/README.md @@ -1,7 +1,7 @@ # Power Set Power set of a set `S` is the set of all of the subsets of `S`, including the -empty set and `S` itself. Power set of set `S` is denoted as `P(S)`. +empty set and `S` itself. Power set of set `S` is denoted as `P(S)`. For example for `{x, y, z}`, the subsets are: @@ -21,37 +21,37 @@ are: ![Power Set](https://www.mathsisfun.com/sets/images/power-set.svg) -Here is how we may illustrate the elements of the power set of the set `{x, y, z}` ordered with respect to +Here is how we may illustrate the elements of the power set of the set `{x, y, z}` ordered with respect to inclusion: ![](https://upload.wikimedia.org/wikipedia/commons/e/ea/Hasse_diagram_of_powerset_of_3.svg) **Number of Subsets** -If `S` is a finite set with `|S| = n` elements, then the number of subsets -of `S` is `|P(S)| = 2^n`. This fact, which is the motivation for the +If `S` is a finite set with `|S| = n` elements, then the number of subsets +of `S` is `|P(S)| = 2^n`. This fact, which is the motivation for the notation `2^S`, may be demonstrated simply as follows: -> First, order the elements of `S` in any manner. We write any subset of `S` in -the format `{γ1, γ2, ..., γn}` where `γi , 1 ≤ i ≤ n`, can take the value +> First, order the elements of `S` in any manner. We write any subset of `S` in +the format `{γ1, γ2, ..., γn}` where `γi , 1 ≤ i ≤ n`, can take the value of `0` or `1`. If `γi = 1`, the `i`-th element of `S` is in the subset; -otherwise, the `i`-th element is not in the subset. Clearly the number of +otherwise, the `i`-th element is not in the subset. Clearly the number of distinct subsets that can be constructed this way is `2^n` as `γi ∈ {0, 1}`. ## Algorithms ### Bitwise Solution -Each number in binary representation in a range from `0` to `2^n` does exactly -what we need: it shows by its bits (`0` or `1`) whether to include related -element from the set or not. For example, for the set `{1, 2, 3}` the binary +Each number in binary representation in a range from `0` to `2^n` does exactly +what we need: it shows by its bits (`0` or `1`) whether to include related +element from the set or not. For example, for the set `{1, 2, 3}` the binary number of `0b010` would mean that we need to include only `2` to the current set. | | `abc` | Subset | | :---: | :---: | :-----------: | | `0` | `000` | `{}` | | `1` | `001` | `{c}` | -| `2` | `010` | `{b}` | +| `2` | `010` | `{b}` | | `3` | `011` | `{c, b}` | | `4` | `100` | `{a}` | | `5` | `101` | `{a, c}` | @@ -68,6 +68,44 @@ element. > See [btPowerSet.js](./btPowerSet.js) file for backtracking solution. +### Cascading Solution + +This is, arguably, the simplest solution to generate a Power Set. + +We start with an empty set: + +```text +powerSets = [[]] +``` + +Now, let's say: + +```text +originalSet = [1, 2, 3] +``` + +Let's add the 1st element from the originalSet to all existing sets: + +```text +[[]] ← 1 = [[], [1]] +``` + +Adding the 2nd element to all existing sets: + +```text +[[], [1]] ← 2 = [[], [1], [2], [1, 2]] +``` + +Adding the 3nd element to all existing sets: + +``` +[[], [1], [2], [1, 2]] ← 3 = [[], [1], [2], [1, 2], [3], [1, 3], [2, 3], [1, 2, 3]] +``` + +And so on, for the rest of the elements from the `originalSet`. On every iteration the number of sets is doubled, so we'll get `2^n` sets. + +> See [caPowerSet.js](./caPowerSet.js) file for cascading solution. + ## References * [Wikipedia](https://en.wikipedia.org/wiki/Power_set) diff --git a/src/algorithms/sets/power-set/__test__/caPowerSet.test.js b/src/algorithms/sets/power-set/__test__/caPowerSet.test.js new file mode 100644 index 0000000000..4fad5efe20 --- /dev/null +++ b/src/algorithms/sets/power-set/__test__/caPowerSet.test.js @@ -0,0 +1,28 @@ +import caPowerSet from '../caPowerSet'; + +describe('caPowerSet', () => { + it('should calculate power set of given set using cascading approach', () => { + expect(caPowerSet([1])).toEqual([ + [], + [1], + ]); + + expect(caPowerSet([1, 2])).toEqual([ + [], + [1], + [2], + [1, 2], + ]); + + expect(caPowerSet([1, 2, 3])).toEqual([ + [], + [1], + [2], + [1, 2], + [3], + [1, 3], + [2, 3], + [1, 2, 3], + ]); + }); +}); diff --git a/src/algorithms/sets/power-set/caPowerSet.js b/src/algorithms/sets/power-set/caPowerSet.js new file mode 100644 index 0000000000..45b9eb6169 --- /dev/null +++ b/src/algorithms/sets/power-set/caPowerSet.js @@ -0,0 +1,37 @@ +/** + * Find power-set of a set using CASCADING approach. + * + * @param {*[]} originalSet + * @return {*[][]} + */ +export default function caPowerSet(originalSet) { + // Let's start with an empty set. + const sets = [[]]; + + /* + Now, let's say: + originalSet = [1, 2, 3]. + + Let's add the first element from the originalSet to all existing sets: + [[]] ← 1 = [[], [1]] + + Adding the 2nd element to all existing sets: + [[], [1]] ← 2 = [[], [1], [2], [1, 2]] + + Adding the 3nd element to all existing sets: + [[], [1], [2], [1, 2]] ← 3 = [[], [1], [2], [1, 2], [3], [1, 3], [2, 3], [1, 2, 3]] + + And so on for the rest of the elements from originalSet. + On every iteration the number of sets is doubled, so we'll get 2^n sets. + */ + for (let numIdx = 0; numIdx < originalSet.length; numIdx += 1) { + const existingSetsNum = sets.length; + + for (let setIdx = 0; setIdx < existingSetsNum; setIdx += 1) { + const set = [...sets[setIdx], originalSet[numIdx]]; + sets.push(set); + } + } + + return sets; +} From 6c335c5d833fd2a68342cf3648a3174bed8c01ad Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Fri, 6 Jan 2023 14:45:04 +0100 Subject: [PATCH 06/50] Fixing the broken link for QuickSort --- src/algorithms/sorting/quick-sort/QuickSortInPlace.js | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/algorithms/sorting/quick-sort/QuickSortInPlace.js b/src/algorithms/sorting/quick-sort/QuickSortInPlace.js index cc1f5e5068..d02298b230 100644 --- a/src/algorithms/sorting/quick-sort/QuickSortInPlace.js +++ b/src/algorithms/sorting/quick-sort/QuickSortInPlace.js @@ -4,7 +4,7 @@ export default class QuickSortInPlace extends Sort { /** Sorting in place avoids unnecessary use of additional memory, but modifies input array. * * This process is difficult to describe, but much clearer with a visualization: - * @see: http://www.algomation.com/algorithm/quick-sort-visualization + * @see: https://www.hackerearth.com/practice/algorithms/sorting/quick-sort/visualize/ * * @param {*[]} originalArray - Not sorted array. * @param {number} inputLowIndex From e4f2ccdbece78d44d3f4bd908c828408b1c0c791 Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Mon, 23 Jan 2023 18:03:40 +0100 Subject: [PATCH 07/50] Add an example of the LRU (Least Recently Used) Cache implementation (#980) * Add an example of the LRU Cache implementation. * Promote the node on set() as well. * Add LRU Cache images. --- README.md | 1 + src/data-structures/lru-cache/LRUCache.js | 134 ++++++++++++++++ .../lru-cache/LinkedListNode.js | 17 ++ src/data-structures/lru-cache/README.md | 37 +++++ .../lru-cache/__test__/LRUCache.test.js | 150 ++++++++++++++++++ .../lru-cache/images/lru-cache.jpg | Bin 0 -> 677600 bytes 6 files changed, 339 insertions(+) create mode 100644 src/data-structures/lru-cache/LRUCache.js create mode 100644 src/data-structures/lru-cache/LinkedListNode.js create mode 100644 src/data-structures/lru-cache/README.md create mode 100644 src/data-structures/lru-cache/__test__/LRUCache.test.js create mode 100644 src/data-structures/lru-cache/images/lru-cache.jpg diff --git a/README.md b/README.md index 8836940696..2c83a70b71 100644 --- a/README.md +++ b/README.md @@ -64,6 +64,7 @@ the data. * `A` [Graph](src/data-structures/graph) (both directed and undirected) * `A` [Disjoint Set](src/data-structures/disjoint-set) * `A` [Bloom Filter](src/data-structures/bloom-filter) +* `A` [LRU Cache](src/data-structures/lru-cache/) - Least Recently Used (LRU) cache ## Algorithms diff --git a/src/data-structures/lru-cache/LRUCache.js b/src/data-structures/lru-cache/LRUCache.js new file mode 100644 index 0000000000..dc27d1b4b0 --- /dev/null +++ b/src/data-structures/lru-cache/LRUCache.js @@ -0,0 +1,134 @@ +/* eslint-disable no-param-reassign */ +import LinkedListNode from './LinkedListNode'; + +/** + * Implementation of the LRU (Least Recently Used) Cache + * based on the HashMap and Doubly Linked List data-structures. + * + * Current implementation allows to have fast (O(1)) read and write operations. + * + * At any moment in time the LRU Cache holds not more that "capacity" number of items in it. + */ +class LRUCache { + /** + * Creates a cache instance of a specific capacity. + * @param {number} capacity + */ + constructor(capacity) { + this.capacity = capacity; // How many items to store in cache at max. + this.nodesMap = {}; // The quick links to each linked list node in cache. + this.size = 0; // The number of items that is currently stored in the cache. + this.head = new LinkedListNode(); // The Head (first) linked list node. + this.tail = new LinkedListNode(); // The Tail (last) linked list node. + } + + /** + * Returns the cached value by its key. + * Time complexity: O(1). + * @param {string} key + * @returns {any} + */ + get(key) { + if (this.nodesMap[key] === undefined) return undefined; + const node = this.nodesMap[key]; + this.promote(node); + return node.val; + } + + /** + * Sets the value to cache by its key. + * Time complexity: O(1). + * @param {string} key + * @param {any} val + */ + set(key, val) { + if (this.nodesMap[key]) { + const node = this.nodesMap[key]; + node.val = val; + this.promote(node); + } else { + const node = new LinkedListNode(key, val); + this.append(node); + } + } + + /** + * Promotes the node to the end of the linked list. + * It means that the node is most frequently used. + * It also reduces the chance for such node to get evicted from cache. + * @param {LinkedListNode} node + */ + promote(node) { + this.evict(node); + this.append(node); + } + + /** + * Appends a new node to the end of the cache linked list. + * @param {LinkedListNode} node + */ + append(node) { + this.nodesMap[node.key] = node; + + if (!this.head.next) { + // First node to append. + this.head.next = node; + this.tail.prev = node; + node.prev = this.head; + node.next = this.tail; + } else { + // Append to an existing tail. + const oldTail = this.tail.prev; + oldTail.next = node; + node.prev = oldTail; + node.next = this.tail; + this.tail.prev = node; + } + + this.size += 1; + + if (this.size > this.capacity) { + this.evict(this.head.next); + } + } + + /** + * Evicts (removes) the node from cache linked list. + * @param {LinkedListNode} node + */ + evict(node) { + delete this.nodesMap[node.key]; + this.size -= 1; + + const prevNode = node.prev; + const nextNode = node.next; + + // If one and only node. + if (prevNode === this.head && nextNode === this.tail) { + this.head.next = null; + this.tail.prev = null; + this.size = 0; + return; + } + + // If this is a Head node. + if (prevNode === this.head) { + nextNode.prev = this.head; + this.head.next = nextNode; + return; + } + + // If this is a Tail node. + if (nextNode === this.tail) { + prevNode.next = this.tail; + this.tail.prev = prevNode; + return; + } + + // If the node is in the middle. + prevNode.next = nextNode; + nextNode.prev = prevNode; + } +} + +export default LRUCache; diff --git a/src/data-structures/lru-cache/LinkedListNode.js b/src/data-structures/lru-cache/LinkedListNode.js new file mode 100644 index 0000000000..6c2b3cd6ff --- /dev/null +++ b/src/data-structures/lru-cache/LinkedListNode.js @@ -0,0 +1,17 @@ +class LinkedListNode { + /** + * Creates a doubly-linked list node. + * @param {string} key + * @param {any} val + * @param {LinkedListNode} prev + * @param {LinkedListNode} next + */ + constructor(key, val, prev = null, next = null) { + this.key = key; + this.val = val; + this.prev = prev; + this.next = next; + } +} + +export default LinkedListNode; diff --git a/src/data-structures/lru-cache/README.md b/src/data-structures/lru-cache/README.md new file mode 100644 index 0000000000..b9175ba36d --- /dev/null +++ b/src/data-structures/lru-cache/README.md @@ -0,0 +1,37 @@ +# Least Recently Used (LRU) Cache + +A **Least Recently Used (LRU) Cache** organizes items in order of use, allowing you to quickly identify which item hasn't been used for the longest amount of time. + +Picture a clothes rack, where clothes are always hung up on one side. To find the least-recently used item, look at the item on the other end of the rack. + +## The problem statement + +Implement the LRUCache class: + +- `LRUCache(int capacity)` Initialize the LRU cache with **positive** size `capacity`. +- `int get(int key)` Return the value of the `key` if the `key` exists, otherwise return `undefined`. +- `void set(int key, int value)` Update the value of the `key` if the `key` exists. Otherwise, add the `key-value` pair to the cache. If the number of keys exceeds the `capacity` from this operation, **evict** the least recently used key. + +The functions `get()` and `set()` must each run in `O(1)` average time complexity. + +## Implementation + +See the `LRUCache` implementation example in [LRUCache.js](./LRUCache.js). The solution uses a `HashMap` for fast `O(1)` cache items access, and a `DoublyLinkedList` for fast `O(1)` cache items promotions and eviction (to keep the maximum allowed cache capacity). + +![Linked List](./images/lru-cache.jpg) + +*Made with [okso.app](https://okso.app)* + +## Costs + +| | Worst Case | +|---|---| +| Space |`O(n)`| +| Get item | `O(1)` | +| Set item | `O(1)` | + +## References + +- [LRU Cache on LeetCode](https://leetcode.com/problems/lru-cache/solutions/244744/lru-cache/) +- [LRU Cache on InterviewCake](https://www.interviewcake.com/concept/java/lru-cache) +- [LRU Cache on Wiki](https://en.wikipedia.org/wiki/Cache_replacement_policies) diff --git a/src/data-structures/lru-cache/__test__/LRUCache.test.js b/src/data-structures/lru-cache/__test__/LRUCache.test.js new file mode 100644 index 0000000000..438fd50378 --- /dev/null +++ b/src/data-structures/lru-cache/__test__/LRUCache.test.js @@ -0,0 +1,150 @@ +import LRUCache from '../LRUCache'; + +describe('LRUCache', () => { + it('should set and get values to and from the cache', () => { + const cache = new LRUCache(100); + expect(cache.get('key-1')).toBeUndefined(); + + cache.set('key-1', 15); + cache.set('key-2', 16); + cache.set('key-3', 17); + expect(cache.get('key-1')).toBe(15); + expect(cache.get('key-2')).toBe(16); + expect(cache.get('key-3')).toBe(17); + expect(cache.get('key-3')).toBe(17); + expect(cache.get('key-2')).toBe(16); + expect(cache.get('key-1')).toBe(15); + + cache.set('key-1', 5); + cache.set('key-2', 6); + cache.set('key-3', 7); + expect(cache.get('key-1')).toBe(5); + expect(cache.get('key-2')).toBe(6); + expect(cache.get('key-3')).toBe(7); + }); + + it('should evict least recently used items from cache with cache size of 1', () => { + const cache = new LRUCache(1); + expect(cache.get('key-1')).toBeUndefined(); + + cache.set('key-1', 15); + expect(cache.get('key-1')).toBe(15); + + cache.set('key-2', 16); + expect(cache.get('key-1')).toBeUndefined(); + expect(cache.get('key-2')).toBe(16); + + cache.set('key-2', 17); + expect(cache.get('key-2')).toBe(17); + + cache.set('key-3', 18); + cache.set('key-4', 19); + expect(cache.get('key-2')).toBeUndefined(); + expect(cache.get('key-3')).toBeUndefined(); + expect(cache.get('key-4')).toBe(19); + }); + + it('should evict least recently used items from cache with cache size of 2', () => { + const cache = new LRUCache(2); + expect(cache.get('key-21')).toBeUndefined(); + + cache.set('key-21', 15); + expect(cache.get('key-21')).toBe(15); + + cache.set('key-22', 16); + expect(cache.get('key-21')).toBe(15); + expect(cache.get('key-22')).toBe(16); + + cache.set('key-22', 17); + expect(cache.get('key-22')).toBe(17); + + cache.set('key-23', 18); + expect(cache.size).toBe(2); + expect(cache.get('key-21')).toBeUndefined(); + expect(cache.get('key-22')).toBe(17); + expect(cache.get('key-23')).toBe(18); + + cache.set('key-24', 19); + expect(cache.size).toBe(2); + expect(cache.get('key-21')).toBeUndefined(); + expect(cache.get('key-22')).toBeUndefined(); + expect(cache.get('key-23')).toBe(18); + expect(cache.get('key-24')).toBe(19); + }); + + it('should evict least recently used items from cache with cache size of 3', () => { + const cache = new LRUCache(3); + + cache.set('key-1', 1); + cache.set('key-2', 2); + cache.set('key-3', 3); + expect(cache.get('key-1')).toBe(1); + expect(cache.get('key-2')).toBe(2); + expect(cache.get('key-3')).toBe(3); + + cache.set('key-3', 4); + expect(cache.get('key-1')).toBe(1); + expect(cache.get('key-2')).toBe(2); + expect(cache.get('key-3')).toBe(4); + + cache.set('key-4', 5); + expect(cache.get('key-1')).toBeUndefined(); + expect(cache.get('key-2')).toBe(2); + expect(cache.get('key-3')).toBe(4); + expect(cache.get('key-4')).toBe(5); + }); + + it('should promote the node while calling set() method', () => { + const cache = new LRUCache(2); + + cache.set('2', 1); + cache.set('1', 1); + cache.set('2', 3); + cache.set('4', 1); + expect(cache.get('1')).toBeUndefined(); + expect(cache.get('2')).toBe(3); + }); + + it('should promote the recently accessed item with cache size of 3', () => { + const cache = new LRUCache(3); + + cache.set('key-1', 1); + cache.set('key-2', 2); + cache.set('key-3', 3); + expect(cache.get('key-1')).toBe(1); + + cache.set('key-4', 4); + expect(cache.get('key-1')).toBe(1); + expect(cache.get('key-3')).toBe(3); + expect(cache.get('key-4')).toBe(4); + expect(cache.get('key-2')).toBeUndefined(); + }); + + it('should promote the recently accessed item with cache size of 4', () => { + const cache = new LRUCache(4); + + cache.set('key-1', 1); + cache.set('key-2', 2); + cache.set('key-3', 3); + cache.set('key-4', 4); + expect(cache.get('key-4')).toBe(4); + expect(cache.get('key-3')).toBe(3); + expect(cache.get('key-2')).toBe(2); + expect(cache.get('key-1')).toBe(1); + + cache.set('key-5', 5); + expect(cache.get('key-1')).toBe(1); + expect(cache.get('key-2')).toBe(2); + expect(cache.get('key-3')).toBe(3); + expect(cache.get('key-4')).toBeUndefined(); + expect(cache.get('key-5')).toBe(5); + + cache.set('key-6', 6); + expect(cache.get('key-1')).toBeUndefined(); + expect(cache.get('key-2')).toBe(2); + expect(cache.get('key-3')).toBe(3); + expect(cache.get('key-4')).toBeUndefined(); + expect(cache.get('key-5')).toBe(5); + expect(cache.get('key-6')).toBe(6); + }); +}); diff --git a/src/data-structures/lru-cache/images/lru-cache.jpg b/src/data-structures/lru-cache/images/lru-cache.jpg new file mode 100644 index 0000000000000000000000000000000000000000..be851b2f1d468f3608529460a43dd808a85418c9 GIT binary patch literal 677600 zcmeFZ1yo#3yC&KMf=h6BXo9;-2u|bDID`O=yL&>A1eeAw1gG)FHNl~=;7&qtw_qWJ z>F@miKWApm+zn-(B_A-u3Rs#mDb}XCNh2B>)Nv0Dyx0 z03Ls!EUL=OztYy#Qc_h{{71$x02$Eu000+PZ%Mz;P+ua*k zM*A<>Q(speDcd0B=XU>%Z1vyB*6yBvm5)P~k#ceN`KztJ!e5ASA+BIOWQ>VCXaHUS zU4Sw`?%(_GRtNxyT>${7N&lW^l?4E_L;?U5%m1FnQUCxDL;wKIlmDLf@0_^5_I!=3 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z&@?NUa{!=woPDDUL3rKknjC#TELI$N@1V%y%fG+h`hfAN-}PARSd=9PyuO>PJj8e> zYF}>dko_0tmPOGXKqs;p3cF zk>53aK=2PLHlDnliq&kqc(kr;TI*oPB$V%nFXs=Adjjl4-A&q;0SPhUlNYE5%U%zKxTudlU(^G~+mwq*4W(_5EeU zviq0(PKd^oXLqt)$UFJkig8mu*|t(Lp7NQd^ka#?@6C)oi5#w8^?#k Date: Mon, 23 Jan 2023 18:15:13 +0100 Subject: [PATCH 09/50] Update LRU Cache README. --- src/data-structures/lru-cache/README.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/src/data-structures/lru-cache/README.md b/src/data-structures/lru-cache/README.md index b9175ba36d..866afa1e60 100644 --- a/src/data-structures/lru-cache/README.md +++ b/src/data-structures/lru-cache/README.md @@ -22,6 +22,8 @@ See the `LRUCache` implementation example in [LRUCache.js](./LRUCache.js). The s *Made with [okso.app](https://okso.app)* +You may also find more test-case examples of how the LRU Cache works in [LRUCache.test.js](./__test__/LRUCache.test.js) file. + ## Costs | | Worst Case | From 6c4aa1b6a26c45e75d22a92adf1fcdcbc95cd401 Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Mon, 23 Jan 2023 18:43:00 +0100 Subject: [PATCH 10/50] Update time complexity table for LRU. --- src/data-structures/lru-cache/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/data-structures/lru-cache/README.md b/src/data-structures/lru-cache/README.md index 866afa1e60..231656ae3d 100644 --- a/src/data-structures/lru-cache/README.md +++ b/src/data-structures/lru-cache/README.md @@ -26,7 +26,7 @@ You may also find more test-case examples of how the LRU Cache works in [LRUCach ## Costs -| | Worst Case | +| | Average | |---|---| | Space |`O(n)`| | Get item | `O(1)` | From f6a0ed42bcaba0607fb2cc1d843f90d78ea340c3 Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Mon, 23 Jan 2023 18:43:52 +0100 Subject: [PATCH 11/50] Update time complexity table for LRU. --- src/data-structures/lru-cache/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/data-structures/lru-cache/README.md b/src/data-structures/lru-cache/README.md index 231656ae3d..2076115fa3 100644 --- a/src/data-structures/lru-cache/README.md +++ b/src/data-structures/lru-cache/README.md @@ -24,7 +24,7 @@ See the `LRUCache` implementation example in [LRUCache.js](./LRUCache.js). The s You may also find more test-case examples of how the LRU Cache works in [LRUCache.test.js](./__test__/LRUCache.test.js) file. -## Costs +## Complexities | | Average | |---|---| From fbd77551b3196b15f7ea3373ad0efebc13fd47c1 Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Mon, 23 Jan 2023 18:44:46 +0100 Subject: [PATCH 12/50] Update time complexity table for LRU. --- src/data-structures/lru-cache/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/data-structures/lru-cache/README.md b/src/data-structures/lru-cache/README.md index 2076115fa3..2e964239d2 100644 --- a/src/data-structures/lru-cache/README.md +++ b/src/data-structures/lru-cache/README.md @@ -16,7 +16,7 @@ The functions `get()` and `set()` must each run in `O(1)` average time complexit ## Implementation -See the `LRUCache` implementation example in [LRUCache.js](./LRUCache.js). The solution uses a `HashMap` for fast `O(1)` cache items access, and a `DoublyLinkedList` for fast `O(1)` cache items promotions and eviction (to keep the maximum allowed cache capacity). +See the `LRUCache` implementation example in [LRUCache.js](./LRUCache.js). The solution uses a `HashMap` for fast `O(1)` (in average) cache items access, and a `DoublyLinkedList` for fast `O(1)` (in average) cache items promotions and eviction (to keep the maximum allowed cache capacity). ![Linked List](./images/lru-cache.jpg) From 69c3a16f75175fa6f49cd936e0049fdc6ede1da4 Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Tue, 24 Jan 2023 09:04:02 +0100 Subject: [PATCH 13/50] Refactor LRU Cache. --- src/data-structures/lru-cache/LRUCache.js | 23 +++++++++++++++++-- .../lru-cache/LinkedListNode.js | 17 -------------- 2 files changed, 21 insertions(+), 19 deletions(-) delete mode 100644 src/data-structures/lru-cache/LinkedListNode.js diff --git a/src/data-structures/lru-cache/LRUCache.js b/src/data-structures/lru-cache/LRUCache.js index dc27d1b4b0..09bf58e434 100644 --- a/src/data-structures/lru-cache/LRUCache.js +++ b/src/data-structures/lru-cache/LRUCache.js @@ -1,5 +1,24 @@ -/* eslint-disable no-param-reassign */ -import LinkedListNode from './LinkedListNode'; +/* eslint-disable no-param-reassign, max-classes-per-file */ + +/** + * Simple implementation of the Doubly-Linked List Node + * that is used in LRUCache class below. + */ +class LinkedListNode { + /** + * Creates a doubly-linked list node. + * @param {string} key + * @param {any} val + * @param {LinkedListNode} prev + * @param {LinkedListNode} next + */ + constructor(key, val, prev = null, next = null) { + this.key = key; + this.val = val; + this.prev = prev; + this.next = next; + } +} /** * Implementation of the LRU (Least Recently Used) Cache diff --git a/src/data-structures/lru-cache/LinkedListNode.js b/src/data-structures/lru-cache/LinkedListNode.js deleted file mode 100644 index 6c2b3cd6ff..0000000000 --- a/src/data-structures/lru-cache/LinkedListNode.js +++ /dev/null @@ -1,17 +0,0 @@ -class LinkedListNode { - /** - * Creates a doubly-linked list node. - * @param {string} key - * @param {any} val - * @param {LinkedListNode} prev - * @param {LinkedListNode} next - */ - constructor(key, val, prev = null, next = null) { - this.key = key; - this.val = val; - this.prev = prev; - this.next = next; - } -} - -export default LinkedListNode; From 4b4d77071cee9c6ba50390ec3635a9755828daa3 Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Tue, 24 Jan 2023 09:43:12 +0100 Subject: [PATCH 14/50] Add an example of the LRU Cache based on the Map. --- src/data-structures/lru-cache/LRUCache.js | 6 +- .../lru-cache/LRUCacheOnMap.js | 53 +++++++ src/data-structures/lru-cache/README.md | 12 ++ .../lru-cache/__test__/LRUCacheOnMap.test.js | 148 ++++++++++++++++++ 4 files changed, 216 insertions(+), 3 deletions(-) create mode 100644 src/data-structures/lru-cache/LRUCacheOnMap.js create mode 100644 src/data-structures/lru-cache/__test__/LRUCacheOnMap.test.js diff --git a/src/data-structures/lru-cache/LRUCache.js b/src/data-structures/lru-cache/LRUCache.js index 09bf58e434..d6b4b3c6be 100644 --- a/src/data-structures/lru-cache/LRUCache.js +++ b/src/data-structures/lru-cache/LRUCache.js @@ -24,7 +24,7 @@ class LinkedListNode { * Implementation of the LRU (Least Recently Used) Cache * based on the HashMap and Doubly Linked List data-structures. * - * Current implementation allows to have fast (O(1)) read and write operations. + * Current implementation allows to have fast O(1) (in average) read and write operations. * * At any moment in time the LRU Cache holds not more that "capacity" number of items in it. */ @@ -43,7 +43,7 @@ class LRUCache { /** * Returns the cached value by its key. - * Time complexity: O(1). + * Time complexity: O(1) in average. * @param {string} key * @returns {any} */ @@ -56,7 +56,7 @@ class LRUCache { /** * Sets the value to cache by its key. - * Time complexity: O(1). + * Time complexity: O(1) in average. * @param {string} key * @param {any} val */ diff --git a/src/data-structures/lru-cache/LRUCacheOnMap.js b/src/data-structures/lru-cache/LRUCacheOnMap.js new file mode 100644 index 0000000000..8e4e226129 --- /dev/null +++ b/src/data-structures/lru-cache/LRUCacheOnMap.js @@ -0,0 +1,53 @@ +/* eslint-disable no-restricted-syntax, no-unreachable-loop */ + +/** + * Implementation of the LRU (Least Recently Used) Cache + * based on the (ordered) Map data-structure. + * + * Current implementation allows to have fast O(1) (in average) read and write operations. + * + * At any moment in time the LRU Cache holds not more that "capacity" number of items in it. + */ +class LRUCacheOnMap { + /** + * Creates a cache instance of a specific capacity. + * @param {number} capacity + */ + constructor(capacity) { + this.capacity = capacity; // How many items to store in cache at max. + this.items = new Map(); // The ordered hash map of all cached items. + } + + /** + * Returns the cached value by its key. + * Time complexity: O(1) in average. + * @param {string} key + * @returns {any} + */ + get(key) { + if (!this.items.has(key)) return undefined; + const val = this.items.get(key); + this.items.delete(key); + this.items.set(key, val); + return val; + } + + /** + * Sets the value to cache by its key. + * Time complexity: O(1). + * @param {string} key + * @param {any} val + */ + set(key, val) { + this.items.delete(key); + this.items.set(key, val); + if (this.items.size > this.capacity) { + for (const headKey of this.items.keys()) { + this.items.delete(headKey); + break; + } + } + } +} + +export default LRUCacheOnMap; diff --git a/src/data-structures/lru-cache/README.md b/src/data-structures/lru-cache/README.md index 2e964239d2..05bcc0a0f7 100644 --- a/src/data-structures/lru-cache/README.md +++ b/src/data-structures/lru-cache/README.md @@ -16,6 +16,8 @@ The functions `get()` and `set()` must each run in `O(1)` average time complexit ## Implementation +### Version 1: Doubly Linked List + Hash Map + See the `LRUCache` implementation example in [LRUCache.js](./LRUCache.js). The solution uses a `HashMap` for fast `O(1)` (in average) cache items access, and a `DoublyLinkedList` for fast `O(1)` (in average) cache items promotions and eviction (to keep the maximum allowed cache capacity). ![Linked List](./images/lru-cache.jpg) @@ -24,6 +26,16 @@ See the `LRUCache` implementation example in [LRUCache.js](./LRUCache.js). The s You may also find more test-case examples of how the LRU Cache works in [LRUCache.test.js](./__test__/LRUCache.test.js) file. +### Version 2: Ordered Map + +The first implementation that uses doubly linked list is good for learning purposes and for better understanding of how the average `O(1)` time complexity is achievable while doing `set()` and `get()`. + +However, the simpler approach might be to use a JavaScript [Map](https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Map) object. The `Map` object holds key-value pairs and **remembers the original insertion order** of the keys. We can use this fact in order to keep the recently-used items in the "end" of the map by removing and re-adding items. The item at the beginning of the `Map` is the first one to be evicted if cache capacity overflows. The order of the items may checked by using the `IterableIterator` like `map.keys()`. + +See the `LRUCacheOnMap` implementation example in [LRUCacheOnMap.js](./LRUCacheOnMap.js). + +You may also find more test-case examples of how the LRU Cache works in [LRUCacheOnMap.test.js](./__test__/LRUCacheOnMap.test.js) file. + ## Complexities | | Average | diff --git a/src/data-structures/lru-cache/__test__/LRUCacheOnMap.test.js b/src/data-structures/lru-cache/__test__/LRUCacheOnMap.test.js new file mode 100644 index 0000000000..8912a1199a --- /dev/null +++ b/src/data-structures/lru-cache/__test__/LRUCacheOnMap.test.js @@ -0,0 +1,148 @@ +import LRUCache from '../LRUCacheOnMap'; + +describe('LRUCacheOnMap', () => { + it('should set and get values to and from the cache', () => { + const cache = new LRUCache(100); + expect(cache.get('key-1')).toBeUndefined(); + + cache.set('key-1', 15); + cache.set('key-2', 16); + cache.set('key-3', 17); + expect(cache.get('key-1')).toBe(15); + expect(cache.get('key-2')).toBe(16); + expect(cache.get('key-3')).toBe(17); + expect(cache.get('key-3')).toBe(17); + expect(cache.get('key-2')).toBe(16); + expect(cache.get('key-1')).toBe(15); + + cache.set('key-1', 5); + cache.set('key-2', 6); + cache.set('key-3', 7); + expect(cache.get('key-1')).toBe(5); + expect(cache.get('key-2')).toBe(6); + expect(cache.get('key-3')).toBe(7); + }); + + it('should evict least recently used items from cache with cache size of 1', () => { + const cache = new LRUCache(1); + expect(cache.get('key-1')).toBeUndefined(); + + cache.set('key-1', 15); + expect(cache.get('key-1')).toBe(15); + + cache.set('key-2', 16); + expect(cache.get('key-1')).toBeUndefined(); + expect(cache.get('key-2')).toBe(16); + + cache.set('key-2', 17); + expect(cache.get('key-2')).toBe(17); + + cache.set('key-3', 18); + cache.set('key-4', 19); + expect(cache.get('key-2')).toBeUndefined(); + expect(cache.get('key-3')).toBeUndefined(); + expect(cache.get('key-4')).toBe(19); + }); + + it('should evict least recently used items from cache with cache size of 2', () => { + const cache = new LRUCache(2); + expect(cache.get('key-21')).toBeUndefined(); + + cache.set('key-21', 15); + expect(cache.get('key-21')).toBe(15); + + cache.set('key-22', 16); + expect(cache.get('key-21')).toBe(15); + expect(cache.get('key-22')).toBe(16); + + cache.set('key-22', 17); + expect(cache.get('key-22')).toBe(17); + + cache.set('key-23', 18); + expect(cache.get('key-21')).toBeUndefined(); + expect(cache.get('key-22')).toBe(17); + expect(cache.get('key-23')).toBe(18); + + cache.set('key-24', 19); + expect(cache.get('key-21')).toBeUndefined(); + expect(cache.get('key-22')).toBeUndefined(); + expect(cache.get('key-23')).toBe(18); + expect(cache.get('key-24')).toBe(19); + }); + + it('should evict least recently used items from cache with cache size of 3', () => { + const cache = new LRUCache(3); + + cache.set('key-1', 1); + cache.set('key-2', 2); + cache.set('key-3', 3); + expect(cache.get('key-1')).toBe(1); + expect(cache.get('key-2')).toBe(2); + expect(cache.get('key-3')).toBe(3); + + cache.set('key-3', 4); + expect(cache.get('key-1')).toBe(1); + expect(cache.get('key-2')).toBe(2); + expect(cache.get('key-3')).toBe(4); + + cache.set('key-4', 5); + expect(cache.get('key-1')).toBeUndefined(); + expect(cache.get('key-2')).toBe(2); + expect(cache.get('key-3')).toBe(4); + expect(cache.get('key-4')).toBe(5); + }); + + it('should promote the node while calling set() method', () => { + const cache = new LRUCache(2); + + cache.set('2', 1); + cache.set('1', 1); + cache.set('2', 3); + cache.set('4', 1); + expect(cache.get('1')).toBeUndefined(); + expect(cache.get('2')).toBe(3); + }); + + it('should promote the recently accessed item with cache size of 3', () => { + const cache = new LRUCache(3); + + cache.set('key-1', 1); + cache.set('key-2', 2); + cache.set('key-3', 3); + expect(cache.get('key-1')).toBe(1); + + cache.set('key-4', 4); + expect(cache.get('key-1')).toBe(1); + expect(cache.get('key-3')).toBe(3); + expect(cache.get('key-4')).toBe(4); + expect(cache.get('key-2')).toBeUndefined(); + }); + + it('should promote the recently accessed item with cache size of 4', () => { + const cache = new LRUCache(4); + + cache.set('key-1', 1); + cache.set('key-2', 2); + cache.set('key-3', 3); + cache.set('key-4', 4); + expect(cache.get('key-4')).toBe(4); + expect(cache.get('key-3')).toBe(3); + expect(cache.get('key-2')).toBe(2); + expect(cache.get('key-1')).toBe(1); + + cache.set('key-5', 5); + expect(cache.get('key-1')).toBe(1); + expect(cache.get('key-2')).toBe(2); + expect(cache.get('key-3')).toBe(3); + expect(cache.get('key-4')).toBeUndefined(); + expect(cache.get('key-5')).toBe(5); + + cache.set('key-6', 6); + expect(cache.get('key-1')).toBeUndefined(); + expect(cache.get('key-2')).toBe(2); + expect(cache.get('key-3')).toBe(3); + expect(cache.get('key-4')).toBeUndefined(); + expect(cache.get('key-5')).toBe(5); + expect(cache.get('key-6')).toBe(6); + }); +}); From 1d6249d552240794c4ea66e97cd91ae5b062392e Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Fri, 27 Jan 2023 08:05:56 +0100 Subject: [PATCH 15/50] Update README. --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 2c83a70b71..b1bc690479 100644 --- a/README.md +++ b/README.md @@ -62,7 +62,7 @@ the data. * `A` [Segment Tree](src/data-structures/tree/segment-tree) - with min/max/sum range queries examples * `A` [Fenwick Tree](src/data-structures/tree/fenwick-tree) (Binary Indexed Tree) * `A` [Graph](src/data-structures/graph) (both directed and undirected) -* `A` [Disjoint Set](src/data-structures/disjoint-set) +* `A` [Disjoint Set](src/data-structures/disjoint-set) - a union–find data structure or merge–find set * `A` [Bloom Filter](src/data-structures/bloom-filter) * `A` [LRU Cache](src/data-structures/lru-cache/) - Least Recently Used (LRU) cache From bcd1cc1b008100098a906b610f79074db2edea0e Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Mon, 30 Jan 2023 08:19:38 +0100 Subject: [PATCH 16/50] Upgrade packages and Node versions. (#989) * Upgrade to Node 16 * Upgrade packages and Node versions. --- .eslintrc | 2 +- .github/workflows/CI.yml | 2 +- .nvmrc | 2 +- README.md | 2 +- jest.config.js | 4 +- package-lock.json | 14190 +++++++++++++++++++++++++++++++------ package.json | 25 +- 7 files changed, 11859 insertions(+), 2368 deletions(-) diff --git a/.eslintrc b/.eslintrc index e1c40a0adb..cf3245bf37 100644 --- a/.eslintrc +++ b/.eslintrc @@ -14,7 +14,7 @@ }, "settings": { "react": { - "version": "latest" + "version": "18.2.0" } } } diff --git a/.github/workflows/CI.yml b/.github/workflows/CI.yml index 912c719df3..e007b6c910 100644 --- a/.github/workflows/CI.yml +++ b/.github/workflows/CI.yml @@ -11,7 +11,7 @@ jobs: runs-on: ubuntu-latest strategy: matrix: - node-version: [ 14.x ] + node-version: [ 16.x ] steps: - name: Checkout repository diff --git a/.nvmrc b/.nvmrc index 958b5a36e1..7fd023741b 100644 --- a/.nvmrc +++ b/.nvmrc @@ -1 +1 @@ -v14 +v16.15.0 diff --git a/README.md b/README.md index b1bc690479..9666335e35 100644 --- a/README.md +++ b/README.md @@ -287,7 +287,7 @@ rm -rf ./node_modules npm i ``` -Also make sure that you're using a correct Node version (`>=14.16.0`). If you're using [nvm](https://github.com/nvm-sh/nvm) for Node version management you may run `nvm use` from the root folder of the project and the correct version will be picked up. +Also make sure that you're using a correct Node version (`>=16`). If you're using [nvm](https://github.com/nvm-sh/nvm) for Node version management you may run `nvm use` from the root folder of the project and the correct version will be picked up. **Playground** diff --git a/jest.config.js b/jest.config.js index 3fec225237..78568a1e94 100644 --- a/jest.config.js +++ b/jest.config.js @@ -24,7 +24,9 @@ module.exports = { // This option sets the URL for the jsdom environment. // It is reflected in properties such as location.href. // @see: https://github.com/facebook/jest/issues/6769 - testURL: 'http://localhost/', + testEnvironmentOptions: { + url: 'http://localhost/', + }, // @see: https://jestjs.io/docs/en/configuration#coveragethreshold-object coverageThreshold: { diff --git a/package-lock.json b/package-lock.json index a1e4b4f8ca..3cfe2e3571 100644 --- a/package-lock.json +++ b/package-lock.json @@ -1,555 +1,10145 @@ { "name": "javascript-algorithms-and-data-structures", "version": "0.0.4", - "lockfileVersion": 1, + 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"is-map": "^2.0.1", + "is-set": "^2.0.1", + "is-weakmap": "^2.0.1", + "is-weakset": "^2.0.1" + } + }, + "which-typed-array": { + "version": "1.1.9", + "resolved": "https://registry.npmjs.org/which-typed-array/-/which-typed-array-1.1.9.tgz", + "integrity": "sha512-w9c4xkx6mPidwp7180ckYWfMmvxpjlZuIudNtDf4N/tTAUB8VJbX25qZoAsrtGuYNnGw3pa0AXgbGKRB8/EceA==", + "dev": true, + "requires": { + "available-typed-arrays": "^1.0.5", + "call-bind": "^1.0.2", + "for-each": "^0.3.3", + "gopd": "^1.0.1", + "has-tostringtag": "^1.0.0", + "is-typed-array": "^1.1.10" + } + }, "wide-align": { "version": "1.1.5", "resolved": "https://registry.npmjs.org/wide-align/-/wide-align-1.1.5.tgz", @@ -7088,39 +16592,19 @@ "wrappy": { "version": "1.0.2", "resolved": "https://registry.npmjs.org/wrappy/-/wrappy-1.0.2.tgz", - "integrity": "sha1-tSQ9jz7BqjXxNkYFvA0QNuMKtp8=", + "integrity": "sha512-l4Sp/DRseor9wL6EvV2+TuQn63dMkPjZ/sp9XkghTEbV9KlPS1xUsZ3u7/IQO4wxtcFB4bgpQPRcR3QCvezPcQ==", "dev": 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"sha512-y11nGElTIV+CT3Zv9t7VKl+Q3hTQoT9a1Qzezhhl6Rp21gJ/IVTW7Z3y9EWXhuUBC2Shnf+DX0antecpAwSP8w==", + "version": "21.1.1", + "resolved": "https://registry.npmjs.org/yargs-parser/-/yargs-parser-21.1.1.tgz", + "integrity": "sha512-tVpsJW7DdjecAiFpbIB1e3qxIQsE6NoPc5/eTdrbbIC4h0LVsWhnoa3g+m2HclBIujHzsxZ4VJVA+GUuc2/LBw==", + "dev": true + }, + "yocto-queue": { + "version": "0.1.0", + "resolved": "https://registry.npmjs.org/yocto-queue/-/yocto-queue-0.1.0.tgz", + "integrity": "sha512-rVksvsnNCdJ/ohGc6xgPwyN8eheCxsiLM8mxuE/t/mOVqJewPuO1miLpTHQiRgTKCLexL4MeAFVagts7HmNZ2Q==", "dev": true } } diff --git a/package.json b/package.json index 6d29c89e11..80e64db3c7 100644 --- a/package.json +++ b/package.json @@ -35,21 +35,20 @@ "prepare": "husky install" }, "devDependencies": { - "@babel/cli": "7.16.8", - "@babel/preset-env": "7.16.11", - "@types/jest": "27.4.0", - "canvas": "2.9.0", - "eslint": "8.7.0", + "@babel/cli": "7.20.7", + "@babel/preset-env": "7.20.2", + "@types/jest": "29.4.0", + "canvas": "2.11.0", + "eslint": "8.33.0", "eslint-config-airbnb": "19.0.4", - "eslint-plugin-import": "2.25.4", - "eslint-plugin-jest": "25.7.0", - "eslint-plugin-jsx-a11y": "6.5.1", - "eslint-plugin-react": "7.28.0", - "husky": "7.0.4", - "jest": "27.4.7" + "eslint-plugin-import": "2.27.5", + "eslint-plugin-jest": "27.2.1", + "eslint-plugin-jsx-a11y": "6.7.1", + "husky": "8.0.3", + "jest": "29.4.1" }, "engines": { - "node": ">=14.16.0", - "npm": ">=6.14.0" + "node": ">=16.15.0", + "npm": ">=8.5.5" } } From c9f1caf1ca87cfa23a5a12046a8359f93f337971 Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Mon, 30 Jan 2023 09:01:49 +0100 Subject: [PATCH 17/50] Add a recursive version of the Longest Common Substring. --- .../__test__/longestCommonSubstring.test.js | 2 ++ .../longestCommonSubstringRecursive.test.js | 17 +++++++++ .../longestCommonSubstring.js | 2 ++ .../longestCommonSubstringRecursive.js | 36 +++++++++++++++++++ 4 files changed, 57 insertions(+) create mode 100644 src/algorithms/string/longest-common-substring/__test__/longestCommonSubstringRecursive.test.js create mode 100644 src/algorithms/string/longest-common-substring/longestCommonSubstringRecursive.js diff --git a/src/algorithms/string/longest-common-substring/__test__/longestCommonSubstring.test.js b/src/algorithms/string/longest-common-substring/__test__/longestCommonSubstring.test.js index a24c0df55c..8c1cb20703 100644 --- a/src/algorithms/string/longest-common-substring/__test__/longestCommonSubstring.test.js +++ b/src/algorithms/string/longest-common-substring/__test__/longestCommonSubstring.test.js @@ -7,6 +7,8 @@ describe('longestCommonSubstring', () => { expect(longestCommonSubstring('', 'ABC')).toBe(''); expect(longestCommonSubstring('ABABC', 'BABCA')).toBe('BABC'); expect(longestCommonSubstring('BABCA', 'ABCBA')).toBe('ABC'); + expect(longestCommonSubstring('sea', 'eat')).toBe('ea'); + expect(longestCommonSubstring('algorithms', 'rithm')).toBe('rithm'); expect(longestCommonSubstring( 'Algorithms and data structures implemented in JavaScript', 'Here you may find Algorithms and data structures that are implemented in JavaScript', diff --git a/src/algorithms/string/longest-common-substring/__test__/longestCommonSubstringRecursive.test.js b/src/algorithms/string/longest-common-substring/__test__/longestCommonSubstringRecursive.test.js new file mode 100644 index 0000000000..d8428033c8 --- /dev/null +++ b/src/algorithms/string/longest-common-substring/__test__/longestCommonSubstringRecursive.test.js @@ -0,0 +1,17 @@ +import longestCommonSubstring from '../longestCommonSubstringRecursive'; + +describe('longestCommonSubstringRecursive', () => { + it('should find longest common substring between two strings', () => { + expect(longestCommonSubstring('', '')).toBe(''); + expect(longestCommonSubstring('ABC', '')).toBe(''); + expect(longestCommonSubstring('', 'ABC')).toBe(''); + expect(longestCommonSubstring('ABABC', 'BABCA')).toBe('BABC'); + expect(longestCommonSubstring('BABCA', 'ABCBA')).toBe('ABCA'); + expect(longestCommonSubstring('sea', 'eat')).toBe('ea'); + expect(longestCommonSubstring('algorithms', 'rithm')).toBe('rithm'); + expect(longestCommonSubstring( + 'Algorithms and data structures implemented in JavaScript', + 'Here you may find Algorithms and data structures that are implemented in JavaScript', + )).toBe('Algorithms and data structures implemented in JavaScript'); + }); +}); diff --git a/src/algorithms/string/longest-common-substring/longestCommonSubstring.js b/src/algorithms/string/longest-common-substring/longestCommonSubstring.js index 1d68ede9e3..6afeccf398 100644 --- a/src/algorithms/string/longest-common-substring/longestCommonSubstring.js +++ b/src/algorithms/string/longest-common-substring/longestCommonSubstring.js @@ -1,4 +1,6 @@ /** + * Longest Common Substring (LCS) (Dynamic Programming Approach). + * * @param {string} string1 * @param {string} string2 * @return {string} diff --git a/src/algorithms/string/longest-common-substring/longestCommonSubstringRecursive.js b/src/algorithms/string/longest-common-substring/longestCommonSubstringRecursive.js new file mode 100644 index 0000000000..88cb08aa00 --- /dev/null +++ b/src/algorithms/string/longest-common-substring/longestCommonSubstringRecursive.js @@ -0,0 +1,36 @@ +/* eslint-disable no-param-reassign */ +/** + * Longest Common Substring (LCS) (Recursive Approach). + * + * @param {string} string1 + * @param {string} string2 + * @return {number} + */ +export default function longestCommonSubstringRecursive(string1, string2) { + /** + * + * @param {string} s1 + * @param {string} s2 + * @return {string} - returns the LCS (Longest Common Substring) + */ + const lcs = (s1, s2, memo = {}) => { + if (!s1 || !s2) return ''; + + if (memo[`${s1}:${s2}`]) return memo[`${s1}:${s2}`]; + + if (s1[0] === s2[0]) { + return s1[0] + lcs(s1.substring(1), s2.substring(1), memo); + } + + const nextLcs1 = lcs(s1.substring(1), s2, memo); + const nextLcs2 = lcs(s1, s2.substring(1), memo); + + const nextLongest = nextLcs1.length >= nextLcs2.length ? nextLcs1 : nextLcs2; + + memo[`${s1}:${s2}`] = nextLongest; + + return nextLongest; + }; + + return lcs(string1, string2); +} From 5fc33c0f0ae5c6ccddaf8c40a8af483fb750a3ad Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Mon, 30 Jan 2023 09:08:17 +0100 Subject: [PATCH 18/50] Add a recursive version of the Longest Common Subsequence. --- .../longestCommonSubsequenceRecursive.test.js | 17 +++++++++++++++++ .../longestCommonSubsequenceRecursive.js} | 6 +++--- .../longestCommonSubstringRecursive.test.js | 17 ----------------- 3 files changed, 20 insertions(+), 20 deletions(-) create mode 100644 src/algorithms/sets/longest-common-subsequence/__test__/longestCommonSubsequenceRecursive.test.js rename src/algorithms/{string/longest-common-substring/longestCommonSubstringRecursive.js => sets/longest-common-subsequence/longestCommonSubsequenceRecursive.js} (77%) delete mode 100644 src/algorithms/string/longest-common-substring/__test__/longestCommonSubstringRecursive.test.js diff --git a/src/algorithms/sets/longest-common-subsequence/__test__/longestCommonSubsequenceRecursive.test.js b/src/algorithms/sets/longest-common-subsequence/__test__/longestCommonSubsequenceRecursive.test.js new file mode 100644 index 0000000000..3d5c9d802a --- /dev/null +++ b/src/algorithms/sets/longest-common-subsequence/__test__/longestCommonSubsequenceRecursive.test.js @@ -0,0 +1,17 @@ +import longestCommonSubsequence from '../longestCommonSubsequenceRecursive'; + +describe('longestCommonSubsequenceRecursive', () => { + it('should find longest common substring between two strings', () => { + expect(longestCommonSubsequence('', '')).toBe(''); + expect(longestCommonSubsequence('ABC', '')).toBe(''); + expect(longestCommonSubsequence('', 'ABC')).toBe(''); + expect(longestCommonSubsequence('ABABC', 'BABCA')).toBe('BABC'); + expect(longestCommonSubsequence('BABCA', 'ABCBA')).toBe('ABCA'); + expect(longestCommonSubsequence('sea', 'eat')).toBe('ea'); + expect(longestCommonSubsequence('algorithms', 'rithm')).toBe('rithm'); + expect(longestCommonSubsequence( + 'Algorithms and data structures implemented in JavaScript', + 'Here you may find Algorithms and data structures that are implemented in JavaScript', + )).toBe('Algorithms and data structures implemented in JavaScript'); + }); +}); diff --git a/src/algorithms/string/longest-common-substring/longestCommonSubstringRecursive.js b/src/algorithms/sets/longest-common-subsequence/longestCommonSubsequenceRecursive.js similarity index 77% rename from src/algorithms/string/longest-common-substring/longestCommonSubstringRecursive.js rename to src/algorithms/sets/longest-common-subsequence/longestCommonSubsequenceRecursive.js index 88cb08aa00..580ba8c72f 100644 --- a/src/algorithms/string/longest-common-substring/longestCommonSubstringRecursive.js +++ b/src/algorithms/sets/longest-common-subsequence/longestCommonSubsequenceRecursive.js @@ -1,17 +1,17 @@ /* eslint-disable no-param-reassign */ /** - * Longest Common Substring (LCS) (Recursive Approach). + * Longest Common Subsequence (LCS) (Recursive Approach). * * @param {string} string1 * @param {string} string2 * @return {number} */ -export default function longestCommonSubstringRecursive(string1, string2) { +export default function longestCommonSubsequenceRecursive(string1, string2) { /** * * @param {string} s1 * @param {string} s2 - * @return {string} - returns the LCS (Longest Common Substring) + * @return {string} - returns the LCS (Longest Common Subsequence) */ const lcs = (s1, s2, memo = {}) => { if (!s1 || !s2) return ''; diff --git a/src/algorithms/string/longest-common-substring/__test__/longestCommonSubstringRecursive.test.js b/src/algorithms/string/longest-common-substring/__test__/longestCommonSubstringRecursive.test.js deleted file mode 100644 index d8428033c8..0000000000 --- a/src/algorithms/string/longest-common-substring/__test__/longestCommonSubstringRecursive.test.js +++ /dev/null @@ -1,17 +0,0 @@ -import longestCommonSubstring from '../longestCommonSubstringRecursive'; - -describe('longestCommonSubstringRecursive', () => { - it('should find longest common substring between two strings', () => { - expect(longestCommonSubstring('', '')).toBe(''); - expect(longestCommonSubstring('ABC', '')).toBe(''); - expect(longestCommonSubstring('', 'ABC')).toBe(''); - expect(longestCommonSubstring('ABABC', 'BABCA')).toBe('BABC'); - expect(longestCommonSubstring('BABCA', 'ABCBA')).toBe('ABCA'); - expect(longestCommonSubstring('sea', 'eat')).toBe('ea'); - expect(longestCommonSubstring('algorithms', 'rithm')).toBe('rithm'); - expect(longestCommonSubstring( - 'Algorithms and data structures implemented in JavaScript', - 'Here you may find Algorithms and data structures that are implemented in JavaScript', - )).toBe('Algorithms and data structures implemented in JavaScript'); - }); -}); From af08253a956c994f098f84e5fdd700b6ce99b344 Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Wed, 1 Feb 2023 08:11:25 +0100 Subject: [PATCH 19/50] Adding Heap time complexities --- src/data-structures/heap/README.md | 25 +++++++++++++++++++++++++ 1 file changed, 25 insertions(+) diff --git a/src/data-structures/heap/README.md b/src/data-structures/heap/README.md index db5f9e339f..824d646043 100644 --- a/src/data-structures/heap/README.md +++ b/src/data-structures/heap/README.md @@ -33,6 +33,31 @@ to the key of `C` The node at the "top" of the heap with no parents is called the root node. +## Time Complexities + +Here are time complexities of various heap data structures. Function names assume a max-heap. + +| Operation | find-max | delete-max | insert| increase-key| meld | +| --------- | -------- | ---------- | ----- | ----------- | ---- | +| [Binary](https://en.wikipedia.org/wiki/Binary_heap) | `Θ(1)` | `Θ(log n)` | `O(log n)` | `O(log n)` | `Θ(n)` | +| [Leftist](https://en.wikipedia.org/wiki/Leftist_tree) | `Θ(1)` | `Θ(log n)` | `Θ(log n)` | `O(log n)` | `Θ(log n)` | +| [Binomial](https://en.wikipedia.org/wiki/Binomial_heap) | `Θ(1)` | `Θ(log n)` | `Θ(1)` | `O(log n)` | `O(log n)` | +| [Fibonacci](https://en.wikipedia.org/wiki/Fibonacci_heap) | `Θ(1)` | `Θ(log n)` | `Θ(1)` | `Θ(1)` | `Θ(1)` | +| [Pairing](https://en.wikipedia.org/wiki/Pairing_heap) | `Θ(1)` | `Θ(log n)` | `Θ(1)` | `o(log n)` | `Θ(1)` | +| [Brodal](https://en.wikipedia.org/wiki/Brodal_queue) | `Θ(1)` | `Θ(log n)` | `Θ(1)` | `Θ(1)` | `Θ(1)` | +| [Rank-pairing](https://en.wikipedia.org/w/index.php?title=Rank-pairing_heap&action=edit&redlink=1) | `Θ(1)` | `Θ(log n)` | `Θ(1)` | `Θ(1)` | `Θ(1)` | +| [Strict Fibonacci](https://en.wikipedia.org/wiki/Fibonacci_heap) | `Θ(1)` | `Θ(log n)` | `Θ(1)` | `Θ(1)` | `Θ(1)` | +| [2-3 heap](https://en.wikipedia.org/wiki/2%E2%80%933_heap) | `O(log n)` | `O(log n)` | `O(log n)` | `Θ(1)` | `?` | + +Where: +- **find-max (or find-min):** find a maximum item of a max-heap, or a minimum item of a min-heap, respectively (a.k.a. *peek*) +- **delete-max (or delete-min):** removing the root node of a max heap (or min heap), respectively +- **insert:** adding a new key to the heap (a.k.a., *push*) +- **increase-key or decrease-key:** updating a key within a max- or min-heap, respectively +- **meld:** joining two heaps to form a valid new heap containing all the elements of both, destroying the original heaps. + +> In this repository, the [MaxHeap.js](./MaxHeap.js) and [MinHeap.js](./MinHeap.js) are examples of the **Binary** heap. + ## References - [Wikipedia](https://en.wikipedia.org/wiki/Heap_(data_structure)) From 5a41865787350d1270ae07b2086604caf7d16454 Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Mon, 20 Feb 2023 18:41:58 +0100 Subject: [PATCH 20/50] Add links for code examples for K-Means clustering --- src/algorithms/ml/k-means/README.md | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/src/algorithms/ml/k-means/README.md b/src/algorithms/ml/k-means/README.md index 4221880054..fb58c1bfa4 100644 --- a/src/algorithms/ml/k-means/README.md +++ b/src/algorithms/ml/k-means/README.md @@ -30,6 +30,11 @@ _Image source: [Wikipedia](https://en.wikipedia.org/wiki/K-means_clustering)_ The centroids are moving continuously in order to create better distinction between the different set of data points. As we can see, after a few iterations, the difference in centroids is quite low between iterations. For example between iterations `13` and `14` the difference is quite small because there the optimizer is tuning boundary cases. +## Code Examples + +- [kMeans.js](./kMeans.js) +- [kMeans.test.js](./__test__/kMeans.test.js) (test cases) + ## References - [k-Means neighbors algorithm on Wikipedia](https://en.wikipedia.org/wiki/K-means_clustering) From 46aae1d708f077ad229f200053cab8276fd6317c Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Fri, 24 Feb 2023 23:04:35 -0100 Subject: [PATCH 21/50] Add bakers --- BACKERS.md | 31 ++++++++++++++++++++++++++++++- README.md | 24 ++++++++++++++++++++---- 2 files changed, 50 insertions(+), 5 deletions(-) diff --git a/BACKERS.md b/BACKERS.md index 62c397a38c..ccd5a2d287 100644 --- a/BACKERS.md +++ b/BACKERS.md @@ -8,12 +8,41 @@ ## `O(n²)` Backers -`null` +

      ## `O(n×log(n))` Backers `null` + +

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