From 28109b4f416dabda7da5b34a6046e6c1a7a6dbd1 Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Fri, 19 Aug 2022 19:07:38 +0200 Subject: [PATCH 01/73] Update Trie image. --- src/data-structures/trie/README.md | 26 ++++++++++++----------- src/data-structures/trie/README.pt-BR.md | 6 ++++-- src/data-structures/trie/README.ru-RU.md | 4 +++- src/data-structures/trie/README.zh-CN.md | 6 ++++-- src/data-structures/trie/images/trie.jpg | Bin 0 -> 134559 bytes 5 files changed, 25 insertions(+), 17 deletions(-) create mode 100644 src/data-structures/trie/images/trie.jpg diff --git a/src/data-structures/trie/README.md b/src/data-structures/trie/README.md index d07c69feb1..f6f38ece09 100644 --- a/src/data-structures/trie/README.md +++ b/src/data-structures/trie/README.md @@ -5,22 +5,24 @@ _Read this in other languages:_ [_Русский_](README.ru-RU.md), [_Português_](README.pt-BR.md) -In computer science, a **trie**, also called digital tree and sometimes -radix tree or prefix tree (as they can be searched by prefixes), -is a kind of search tree—an ordered tree data structure that is -used to store a dynamic set or associative array where the keys -are usually strings. Unlike a binary search tree, no node in the -tree stores the key associated with that node; instead, its +In computer science, a **trie**, also called digital tree and sometimes +radix tree or prefix tree (as they can be searched by prefixes), +is a kind of search tree—an ordered tree data structure that is +used to store a dynamic set or associative array where the keys +are usually strings. Unlike a binary search tree, no node in the +tree stores the key associated with that node; instead, its position in the tree defines the key with which it is associated. All the descendants of a node have a common prefix of the string -associated with that node, and the root is associated with the -empty string. Values are not necessarily associated with every -node. Rather, values tend only to be associated with leaves, -and with some inner nodes that correspond to keys of interest. -For the space-optimized presentation of prefix tree, see compact +associated with that node, and the root is associated with the +empty string. Values are not necessarily associated with every +node. Rather, values tend only to be associated with leaves, +and with some inner nodes that correspond to keys of interest. +For the space-optimized presentation of prefix tree, see compact prefix tree. -![Trie](https://upload.wikimedia.org/wikipedia/commons/b/be/Trie_example.svg) +![Trie](./images/trie.jpg) + +*Made with [okso.app](https://okso.app)* ## References diff --git a/src/data-structures/trie/README.pt-BR.md b/src/data-structures/trie/README.pt-BR.md index 7a1415814d..b0d49de1e1 100644 --- a/src/data-structures/trie/README.pt-BR.md +++ b/src/data-structures/trie/README.pt-BR.md @@ -3,7 +3,7 @@ Na ciência da computação, uma **trie**, também chamada de árvore digital (digital tree) e algumas vezes de _radix tree_ ou _prefix tree_ (tendo em vista que eles podem ser pesquisados por prefixos), é um tipo de árvore de pesquisa, uma -uma estrutura de dados de árvore ordenada que é usado para armazenar um +uma estrutura de dados de árvore ordenada que é usado para armazenar um conjunto dinâmico ou matriz associativa onde as chaves são geralmente _strings_. Ao contrário de uma árvore de pesquisa binária (binary search tree), nenhum nó na árvore armazena a chave associada a esse nó; em vez disso, @@ -17,7 +17,9 @@ internos que correspondem a chaves de interesse. Para a apresentação otimizada do espaço da árvore de prefixo (_prefix tree_), veja árvore de prefixo compacto. -![Trie](https://upload.wikimedia.org/wikipedia/commons/b/be/Trie_example.svg) +![Trie](./images/trie.jpg) + +*Made with [okso.app](https://okso.app)* ## Referências diff --git a/src/data-structures/trie/README.ru-RU.md b/src/data-structures/trie/README.ru-RU.md index f447f8eb0e..30a4536383 100644 --- a/src/data-structures/trie/README.ru-RU.md +++ b/src/data-structures/trie/README.ru-RU.md @@ -16,7 +16,9 @@ дополнительную информацию, связанную с ключом, и обычно выделенными являются только листья и, возможно, некоторые внутренние узлы. -![Префиксное дерево](https://upload.wikimedia.org/wikipedia/commons/b/be/Trie_example.svg) +![Префиксное дерево](./images/trie.jpg) + +*Made with [okso.app](https://okso.app)* На рисунке представлено префиксное дерево, содержащее ключи «A», «to», «tea», «ted», «ten», «i», «in», «inn». diff --git a/src/data-structures/trie/README.zh-CN.md b/src/data-structures/trie/README.zh-CN.md index bad277d4bd..e812f57523 100644 --- a/src/data-structures/trie/README.zh-CN.md +++ b/src/data-structures/trie/README.zh-CN.md @@ -2,13 +2,15 @@ 在计算机科学中, **字典树(trie,中文又被称为”单词查找树“或 ”键树“)**, 也称为数字树,有时候也被称为基数树或前缀树(因为它们可以通过前缀搜索),它是一种搜索树--一种已排序的数据结构,通常用于存储动态集或键为字符串的关联数组。 -与二叉搜索树不同, 树上没有节点存储与该节点关联的键; 相反,节点在树上的位置定义了与之关联的键。一个节点的全部后代节点都有一个与该节点关联的通用的字符串前缀, 与根节点关联的是空字符串。 +与二叉搜索树不同, 树上没有节点存储与该节点关联的键; 相反,节点在树上的位置定义了与之关联的键。一个节点的全部后代节点都有一个与该节点关联的通用的字符串前缀, 与根节点关联的是空字符串。 值对于字典树中关联的节点来说,不是必需的,相反,值往往和相关的叶子相关,以及与一些键相关的内部节点相关。 有关字典树的空间优化示意,请参阅紧凑前缀树 -![Trie](https://upload.wikimedia.org/wikipedia/commons/b/be/Trie_example.svg) +![Trie](./images/trie.jpg) + +*Made with [okso.app](https://okso.app)* ## 参考 diff --git a/src/data-structures/trie/images/trie.jpg b/src/data-structures/trie/images/trie.jpg new file mode 100644 index 0000000000000000000000000000000000000000..9284e71de7f7b23c66a934cc725b540fd55a1ab1 GIT binary patch literal 134559 zcmeFZc|6qX`#&C0mXtz@7NsacB_msC(IT>qeMyAuOZF^N(Prz2$}am1Gq$mBsVI9{ z#=eAP#!?ttmf!W7mUG^p_j&*S`{R2akK>$rVD7nJ_kCT@?V3kwsu$Tuounj{!cEyuy z|NeIQ6b9=o|JPA;{W&tCc~vI|F(z7-)(1RFH&OoaO!_7YXe3&{(n3o z1-^rH^rVM;FE{;N?l|Jlu5<9s3Gj?dC3)^%hVSQ^+Drx2|^((h$pXF33-fd0w3?f+F(F<03a zCkqFzR-Rg09NuP7>Xy|QFF$Z*ad4wSnMaO@QAry!+HaMrBdFVcqH<;CiAzX`QITWf z>f&%{!F0us?t&hBn=FIE0vmjB4G+rJifG+l$3WllP$3wKUdJvuZl(XYNwj+NYWs^5 zW`P{ZYb&$O+S=L{vtJtX7W%!LBai9b!08YQ9zSLg)Xmy*J-paDNhx@uUB`qNDPkbt zB0a_zCJrTBYBs%C{lD7I`%Rd-I<0{C^_4OCSbx{0nbCslukUs`5N@@mqHcXU)MG;^ zzfrl9TY*oLk;zb;`XR^uzki1m=7d>Ir{*=en;e3w`4ToAZSPmN@uC_;D;7WV6r;E= z@Nq!f6CXO7qx9cDd<(PRck#8?`~{|vAJzn`A78nx z%lrF2{i)p}W&T2XKjy~GLgnUl^>uq4->|v$*cGO{)7NF7A3vfn7!`6YK;pok@BecQ z*Ew`^ZUju`x2iUM(HTD;=kb|YX1Z+llj+e+I!rz%pQB2BZS|}FuJf364z<;*8Uc0{3rkAXHM-@Q^v50m9@nAE|2pV+%z_h+w0PB!fh

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z{_f+ywiNi2(E+flMbZqhf1%|+lKg8$|9><7wY&d+GyWgljLkr$vpz;$70~`ez(38K Lx@z$2_n-eS&_rRT From b55e79aed2fa35fc0c6b47cc24f4747bb712c95e Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Fri, 19 Aug 2022 19:20:48 +0200 Subject: [PATCH 03/73] Update BST image. --- .../tree/binary-search-tree/README.md | 56 +++++++++--------- .../tree/binary-search-tree/README.pt-BR.md | 19 +++--- .../images/binary-search-tree.jpg | Bin 0 -> 149145 bytes 3 files changed, 39 insertions(+), 36 deletions(-) create mode 100644 src/data-structures/tree/binary-search-tree/images/binary-search-tree.jpg diff --git a/src/data-structures/tree/binary-search-tree/README.md b/src/data-structures/tree/binary-search-tree/README.md index f3e448a995..d05a891545 100644 --- a/src/data-structures/tree/binary-search-tree/README.md +++ b/src/data-structures/tree/binary-search-tree/README.md @@ -3,32 +3,34 @@ _Read this in other languages:_ [_Português_](README.pt-BR.md) -In computer science, **binary search trees** (BST), sometimes called -ordered or sorted binary trees, are a particular type of container: -data structures that store "items" (such as numbers, names etc.) -in memory. They allow fast lookup, addition and removal of -items, and can be used to implement either dynamic sets of -items, or lookup tables that allow finding an item by its key +In computer science, **binary search trees** (BST), sometimes called +ordered or sorted binary trees, are a particular type of container: +data structures that store "items" (such as numbers, names etc.) +in memory. They allow fast lookup, addition and removal of +items, and can be used to implement either dynamic sets of +items, or lookup tables that allow finding an item by its key (e.g., finding the phone number of a person by name). -Binary search trees keep their keys in sorted order, so that lookup -and other operations can use the principle of binary search: -when looking for a key in a tree (or a place to insert a new key), -they traverse the tree from root to leaf, making comparisons to -keys stored in the nodes of the tree and deciding, on the basis -of the comparison, to continue searching in the left or right -subtrees. On average, this means that each comparison allows -the operations to skip about half of the tree, so that each -lookup, insertion or deletion takes time proportional to the -logarithm of the number of items stored in the tree. This is -much better than the linear time required to find items by key -in an (unsorted) array, but slower than the corresponding +Binary search trees keep their keys in sorted order, so that lookup +and other operations can use the principle of binary search: +when looking for a key in a tree (or a place to insert a new key), +they traverse the tree from root to leaf, making comparisons to +keys stored in the nodes of the tree and deciding, on the basis +of the comparison, to continue searching in the left or right +subtrees. On average, this means that each comparison allows +the operations to skip about half of the tree, so that each +lookup, insertion or deletion takes time proportional to the +logarithm of the number of items stored in the tree. This is +much better than the linear time required to find items by key +in an (unsorted) array, but slower than the corresponding operations on hash tables. A binary search tree of size 9 and depth 3, with 8 at the root. The leaves are not drawn. -![Binary Search Tree](https://upload.wikimedia.org/wikipedia/commons/d/da/Binary_search_tree.svg) +![Trie](./images/binary-search-tree.jpg) + +*Made with [okso.app](https://okso.app)* ## Pseudocode for Basic Operations @@ -45,7 +47,7 @@ insert(value) end if end insert ``` - + ```text insertNode(current, value) Pre: current is the node to start from @@ -84,8 +86,8 @@ contains(root, value) end if end contains ``` - - + + ### Deletion ```text @@ -186,7 +188,7 @@ findNode(root, value) end if end findNode ``` - + ### Find Minimum ```text @@ -200,7 +202,7 @@ findMin(root) findMin(root.left) end findMin ``` - + ### Find Maximum ```text @@ -214,7 +216,7 @@ findMax(root) findMax(root.right) end findMax ``` - + ### Traversal #### InOrder Traversal @@ -244,7 +246,7 @@ preorder(root) end if end preorder ``` - + #### PostOrder Traversal ```text @@ -258,7 +260,7 @@ postorder(root) end if end postorder ``` - + ## Complexities ### Time Complexity diff --git a/src/data-structures/tree/binary-search-tree/README.pt-BR.md b/src/data-structures/tree/binary-search-tree/README.pt-BR.md index 4565538a7b..1e71714104 100644 --- a/src/data-structures/tree/binary-search-tree/README.pt-BR.md +++ b/src/data-structures/tree/binary-search-tree/README.pt-BR.md @@ -26,8 +26,9 @@ Uma pesquisa de árvore binária de tamanho 9 e profundidade 3, com valor 8 na raíz. As folhas não foram desenhadas. +![Trie](./images/binary-search-tree.jpg) -![Binary Search Tree](https://upload.wikimedia.org/wikipedia/commons/d/da/Binary_search_tree.svg) +*Made with [okso.app](https://okso.app)* ## Pseudocódigo para Operações Básicas @@ -44,7 +45,7 @@ insert(value) end if end insert ``` - + ```text insertNode(current, value) Pre: current is the node to start from @@ -83,8 +84,8 @@ contains(root, value) end if end contains ``` - - + + ### Remoção ```text @@ -185,7 +186,7 @@ findNode(root, value) end if end findNode ``` - + ### Encontrar Mínimo ```text @@ -199,7 +200,7 @@ findMin(root) findMin(root.left) end findMin ``` - + ### Encontrar Máximo ```text @@ -213,7 +214,7 @@ findMax(root) findMax(root.right) end findMax ``` - + ### Traversal #### Na Ordem Traversal (InOrder Traversal) @@ -243,7 +244,7 @@ preorder(root) end if end preorder ``` - + #### Pós Ordem Traversal (PostOrder Traversal) ```text @@ -257,7 +258,7 @@ postorder(root) end if end postorder ``` - + ## 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ZeHq1}dknfLc?9^UEdS_X!F|)f{{=eWGAsZ9 From 4d2d7189c631218b9c713c8ac070ac4a1d98f6ff Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Tue, 30 Aug 2022 09:26:36 +0200 Subject: [PATCH 13/73] Add a link to minimalistic data structure sketches. (#933) --- README.md | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/README.md b/README.md index 4a870ccfed..f0e90fc8d3 100644 --- a/README.md +++ b/README.md @@ -301,7 +301,8 @@ npm test -- 'playground' ### References -[▶ Data Structures and Algorithms on YouTube](https://www.youtube.com/playlist?list=PLLXdhg_r2hKA7DPDsunoDZ-Z769jWn4R8) +- [▶ Data Structures and Algorithms on YouTube](https://www.youtube.com/playlist?list=PLLXdhg_r2hKA7DPDsunoDZ-Z769jWn4R8) +- [✍🏻 Data Structure Sketches](https://okso.app/showcase/data-structures) ### Big O Notation From ebfe961f0f61b641a1f4d340ddffe323891ab0b0 Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Wed, 21 Sep 2022 09:10:09 +0200 Subject: [PATCH 14/73] Update README.md --- README.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index f0e90fc8d3..dd4ef9b531 100644 --- a/README.md +++ b/README.md @@ -1,9 +1,9 @@ # JavaScript Algorithms and Data Structures -> 🇺🇦 UKRAINE [IS BEING ATTACKED](https://twitter.com/MFA_Ukraine) BY RUSSIAN ARMY. CIVILIANS ARE GETTING KILLED. RESIDENTIAL AREAS ARE GETTING BOMBED. +> 🇺🇦 UKRAINE [IS BEING ATTACKED](https://war.ukraine.ua/) BY RUSSIAN ARMY. CIVILIANS ARE GETTING KILLED. RESIDENTIAL AREAS ARE GETTING BOMBED. > - Help Ukraine via [National Bank of Ukraine](https://bank.gov.ua/en/news/all/natsionalniy-bank-vidkriv-spetsrahunok-dlya-zboru-koshtiv-na-potrebi-armiyi) > - Help Ukraine via [SaveLife](https://savelife.in.ua/en/donate-en/) fund -> - More info on [war.ukraine.ua](https://war.ukraine.ua/) +> - More info on [war.ukraine.ua](https://war.ukraine.ua/) and [MFA of Ukraine](https://twitter.com/MFA_Ukraine) [![CI](https://github.com/trekhleb/javascript-algorithms/workflows/CI/badge.svg)](https://github.com/trekhleb/javascript-algorithms/actions?query=workflow%3ACI+branch%3Amaster) [![codecov](https://codecov.io/gh/trekhleb/javascript-algorithms/branch/master/graph/badge.svg)](https://codecov.io/gh/trekhleb/javascript-algorithms) From d3c0ee6f7af3fce4a3a2bdc1c5be36d7c2d9793a Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Wed, 21 Sep 2022 09:12:46 +0200 Subject: [PATCH 15/73] Update README.md --- README.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/README.md b/README.md index dd4ef9b531..d2d0bc75a4 100644 --- a/README.md +++ b/README.md @@ -5,6 +5,8 @@ > - Help Ukraine via [SaveLife](https://savelife.in.ua/en/donate-en/) fund > - More info on [war.ukraine.ua](https://war.ukraine.ua/) and [MFA of Ukraine](https://twitter.com/MFA_Ukraine) +


+ [![CI](https://github.com/trekhleb/javascript-algorithms/workflows/CI/badge.svg)](https://github.com/trekhleb/javascript-algorithms/actions?query=workflow%3ACI+branch%3Amaster) [![codecov](https://codecov.io/gh/trekhleb/javascript-algorithms/branch/master/graph/badge.svg)](https://codecov.io/gh/trekhleb/javascript-algorithms) From 26a27f360a86548039af5dd0e1d593569a37c3b4 Mon Sep 17 00:00:00 2001 From: "David (Dato) Kadaria" <94402615+davidkadaria@users.noreply.github.com> Date: Mon, 10 Oct 2022 17:02:41 +0400 Subject: [PATCH 16/73] Add Georgian translation for 'algorithms: Factorial' (#947) * Translated Factorial * Renamed file and added link to it from the original file * Replaced Wikipedia link with Georgian version --- src/algorithms/math/factorial/README.ka-GE.md | 32 +++++++++++++++++++ src/algorithms/math/factorial/README.md | 2 +- 2 files changed, 33 insertions(+), 1 deletion(-) create mode 100644 src/algorithms/math/factorial/README.ka-GE.md diff --git a/src/algorithms/math/factorial/README.ka-GE.md b/src/algorithms/math/factorial/README.ka-GE.md new file mode 100644 index 0000000000..1d02b9f7d3 --- /dev/null +++ b/src/algorithms/math/factorial/README.ka-GE.md @@ -0,0 +1,32 @@ +# ფაქტორიალი + +მათემატიკაში `n` ნატურალური რიცხვის ფაქტორიალი +(აღინიშნება `n!` სიმბოლოთი) +არის ყველა ნატურალური რიცხვის ნამრავლი 1-იდან `n`-ის ჩათვლით. მაგალითად: + +``` +5! = 5 * 4 * 3 * 2 * 1 = 120 +``` + +| n | n! | +| --- | ----------------: | +| 0 | 1 | +| 1 | 1 | +| 2 | 2 | +| 3 | 6 | +| 4 | 24 | +| 5 | 120 | +| 6 | 720 | +| 7 | 5 040 | +| 8 | 40 320 | +| 9 | 362 880 | +| 10 | 3 628 800 | +| 11 | 39 916 800 | +| 12 | 479 001 600 | +| 13 | 6 227 020 800 | +| 14 | 87 178 291 200 | +| 15 | 1 307 674 368 000 | + +## სქოლიო + +[Wikipedia](https://ka.wikipedia.org/wiki/%E1%83%9B%E1%83%90%E1%83%97%E1%83%94%E1%83%9B%E1%83%90%E1%83%A2%E1%83%98%E1%83%99%E1%83%A3%E1%83%A0%E1%83%98_%E1%83%A4%E1%83%90%E1%83%A5%E1%83%A2%E1%83%9D%E1%83%A0%E1%83%98%E1%83%90%E1%83%9A%E1%83%98) diff --git a/src/algorithms/math/factorial/README.md b/src/algorithms/math/factorial/README.md index 032121dfdf..5f7f0e1129 100644 --- a/src/algorithms/math/factorial/README.md +++ b/src/algorithms/math/factorial/README.md @@ -1,7 +1,7 @@ # Factorial _Read this in other languages:_ -[_简体中文_](README.zh-CN.md), [français](README.fr-FR.md), [turkish](README.tr-TR.md). +[_简体中文_](README.zh-CN.md), [français](README.fr-FR.md), [turkish](README.tr-TR.md), [ქართული](README.ka-GE.md). In mathematics, the factorial of a non-negative integer `n`, denoted by `n!`, is the product of all positive integers less From 9ef6650207338c41eccb0e303b865ac8c3ff3e2b Mon Sep 17 00:00:00 2001 From: "Oleksandr (Sasha) Khivrych" Date: Mon, 10 Oct 2022 15:05:58 +0200 Subject: [PATCH 17/73] feat: added ukrainian translations for hash table (#948) Co-authored-by: Oleksii Trekhleb --- src/data-structures/hash-table/README.md | 11 +++---- .../hash-table/README.uk-UA.md | 29 +++++++++++++++++++ 2 files changed, 35 insertions(+), 5 deletions(-) create mode 100644 src/data-structures/hash-table/README.uk-UA.md diff --git a/src/data-structures/hash-table/README.md b/src/data-structures/hash-table/README.md index 8711bd9b49..f0d0c9932d 100644 --- a/src/data-structures/hash-table/README.md +++ b/src/data-structures/hash-table/README.md @@ -6,12 +6,13 @@ _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 computing, a **hash table** (hash map) is a data -structure which implements an *associative array* -abstract data type, a structure that can *map keys -to values*. A hash table uses a *hash function* to +structure which implements an _associative array_ +abstract data type, a structure that can _map keys +to values_. A hash table uses a _hash function_ to compute an index into an array of buckets or slots, from which the desired value can be found @@ -28,7 +29,7 @@ Hash collision resolved by separate chaining. ![Hash Collision](./images/collision-resolution.jpeg) -*Made with [okso.app](https://okso.app)* +_Made with [okso.app](https://okso.app)_ ## References diff --git a/src/data-structures/hash-table/README.uk-UA.md b/src/data-structures/hash-table/README.uk-UA.md new file mode 100644 index 0000000000..2ab3183599 --- /dev/null +++ b/src/data-structures/hash-table/README.uk-UA.md @@ -0,0 +1,29 @@ +# Геш таблиця + +**Геш таблиця** - структура даних, що реалізує абстрактний тип даних асоціативний масив, тобто. структура, яка +_зв'язує ключі зі значеннями_. Геш-таблиця використовує _геш-функцію_ для обчислення індексу в масиві, в якому може +бути знайдено бажане значення. Нижче представлена геш-таблиця, у якій ключем виступає ім'я людини, а значеннями +телефонні номери. Геш-функція перетворює ключ-ім'я на індекс масиву з телефонними номерами. + +![Hash Table](./images/hash-table.jpeg) + +В ідеалі геш-функція присвоюватиме елементу масиву унікальний ключ. Проте більшість реальних геш-таблиць +використовують недосконалі геш-функції. Це може призвести до ситуацій, коли геш-функція генерує однаковий індекс для +кількох ключів. Ці ситуації називаються колізіями і мають бути якось вирішені. + +Існує два варіанти вирішення колізій - геш-таблиця з ланцюжками та з відкритою адресацією. + +Метод ланцюжків передбачає зберігання значень, відповідних одному й тому індексу як зв'язкового списку(ланцюжка). + +![Hash Collision](./images/collision-resolution.jpeg) + +_Made with [okso.app](https://okso.app)_ + +Метод відкритої адресації поміщає значення, для якого отримано дублюючий індекс, в першу вільну комірку. + +![Геш відкрита адресація](https://upload.wikimedia.org/wikipedia/commons/thumb/b/bf/Hash_table_5_0_1_1_1_1_0_SP.svg/380px-Hash_table_5_0_1_1_1_1_0_SP.svg.png) + +## Посилання + +- [Wikipedia](https://uk.wikipedia.org/wiki/%D0%93%D0%B5%D1%88-%D1%82%D0%B0%D0%B1%D0%BB%D0%B8%D1%86%D1%8F) +- [YouTube](https://www.youtube.com/watch?v=WTYaboK-NMk) From da6ae08851b4bb6f35cb3e7a36263cd68689168a Mon Sep 17 00:00:00 2001 From: Mateus Pfeffer <92607757+StPfeffer@users.noreply.github.com> Date: Mon, 10 Oct 2022 10:23:32 -0300 Subject: [PATCH 18/73] Brazilian Portuguese translation and typos fixes (#943) * Update README.pt-BR.md * TRIE README.pt-BR typo * TREE README.pt-BR typo * Stack README.pt-BR typo * Priority Queue README.pt-BR typo * hash-table README.pt-BR typo * doubly-linked-list README.pt-BR typo * disjoint-set README.pt-BR typo * bloom-filter README.pt-BR typo * merge-sort pt-BR translation * merge-sort README added pt-BR option * insertion sort pt-BR translation * insertion sort README added pt-br option * heap-sort pt-BR translation * heap-sort READMED added pt-BR option * bubble sort pt-BR typo * pt-BR translation for sorting algorithms Fixed typos and translated all the missing algorithms * Update README.pt-BR.md * linked list pt-BR translation * ml pt-BR translation * fix typo in README Co-authored-by: Oleksii Trekhleb --- README.pt-BR.md | 217 +++++++++--------- .../linked-list/reverse-traversal/README.md | 3 +- .../reverse-traversal/README.pt-BR.md | 23 ++ .../linked-list/traversal/README.md | 3 +- .../linked-list/traversal/README.pt-BR.md | 24 ++ src/algorithms/ml/k-means/README.md | 3 + src/algorithms/ml/k-means/README.pt-BR.md | 35 +++ src/algorithms/ml/knn/README.md | 3 + src/algorithms/ml/knn/README.pt-BR.md | 44 ++++ .../sorting/bubble-sort/README.pt-BR.md | 11 +- .../sorting/counting-sort/README.md | 3 + .../sorting/counting-sort/README.pt-br.md | 70 ++++++ src/algorithms/sorting/heap-sort/README.md | 3 + .../sorting/heap-sort/README.pt-BR.md | 20 ++ .../sorting/insertion-sort/README.md | 3 + .../sorting/insertion-sort/README.pt-BR.md | 22 ++ src/algorithms/sorting/merge-sort/README.md | 3 +- .../sorting/merge-sort/README.pt-BR.md | 38 +++ src/algorithms/sorting/quick-sort/README.md | 4 +- .../sorting/quick-sort/README.pt-BR.md | 12 +- src/algorithms/sorting/radix-sort/README.md | 3 + .../sorting/radix-sort/README.pt-BR.md | 48 ++++ .../sorting/selection-sort/README.md | 2 +- .../sorting/selection-sort/README.pt-BR.md | 4 +- src/algorithms/sorting/shell-sort/README.md | 3 + .../sorting/shell-sort/README.pt-BR.md | 60 +++++ .../bloom-filter/README.pt-BR.md | 4 +- .../disjoint-set/README.pt-BR.md | 10 +- .../doubly-linked-list/README.pt-BR.md | 6 +- .../hash-table/README.pt-BR.md | 4 +- .../priority-queue/README.pt-BR.md | 8 +- src/data-structures/stack/README.pt-BR.md | 8 +- src/data-structures/tree/README.pt-BR.md | 2 +- src/data-structures/trie/README.pt-BR.md | 6 +- 34 files changed, 567 insertions(+), 145 deletions(-) create mode 100644 src/algorithms/linked-list/reverse-traversal/README.pt-BR.md create mode 100644 src/algorithms/linked-list/traversal/README.pt-BR.md create mode 100644 src/algorithms/ml/k-means/README.pt-BR.md create mode 100644 src/algorithms/ml/knn/README.pt-BR.md create mode 100644 src/algorithms/sorting/counting-sort/README.pt-br.md create mode 100644 src/algorithms/sorting/heap-sort/README.pt-BR.md create mode 100644 src/algorithms/sorting/insertion-sort/README.pt-BR.md create mode 100644 src/algorithms/sorting/merge-sort/README.pt-BR.md create mode 100644 src/algorithms/sorting/radix-sort/README.pt-BR.md create mode 100644 src/algorithms/sorting/shell-sort/README.pt-BR.md diff --git a/README.pt-BR.md b/README.pt-BR.md index 3218869a07..a937e8c0bf 100644 --- a/README.pt-BR.md +++ b/README.pt-BR.md @@ -31,9 +31,7 @@ _Leia isto em outros idiomas:_ ## Estrutura de Dados Uma estrutura de dados é uma maneira particular de organizar e armazenar dados em um computador para que ele possa -ser acessado e modificado de forma eficiente. Mais precisamente, uma estrutura de dados é uma coleção de dados -valores, as relações entre eles e as funções ou operações que podem ser aplicadas a -os dados. +ser acessado e modificado de forma eficiente. Mais precisamente, uma estrutura de dados é uma coleção de valores de dados, as relações entre eles e as funções ou operações que podem ser aplicadas aos dados. `B` - Iniciante, `A` - Avançado @@ -42,17 +40,17 @@ os dados. * `B` [Fila (Queue)](src/data-structures/queue/README.pt-BR.md) * `B` [Pilha (Stack)](src/data-structures/stack/README.pt-BR.md) * `B` [Tabela de Hash (Hash Table)](src/data-structures/hash-table/README.pt-BR.md) -* `B` [Heap](src/data-structures/heap/README.pt-BR.md) +* `B` [Heap](src/data-structures/heap/README.pt-BR.md) - versões de heap máximo e mínimo * `B` [Fila de Prioridade (Priority Queue)](src/data-structures/priority-queue/README.pt-BR.md) -* `A` [Árvore de prefixos (Trie)](src/data-structures/trie/README.pt-BR.md) +* `A` [Árvore de Prefixos (Trie)](src/data-structures/trie/README.pt-BR.md) * `A` [Árvore (Tree)](src/data-structures/tree/README.pt-BR.md) * `A` [Árvore de Pesquisa Binária (Binary Search Tree)](src/data-structures/tree/binary-search-tree/README.pt-BR.md) * `A` [Árvore AVL (AVL Tree)](src/data-structures/tree/avl-tree/README.pt-BR.md) - * `A` [Árvore Vermelha-Preta (Red-Black Tree)](src/data-structures/tree/red-black-tree/README.pt-BR.md) - * `A` [Árvore de Segmento (Segment Tree)](src/data-structures/tree/segment-tree/README.pt-BR.md) - Com exemplos de consultas min / max / sum range + * `A` [Árvore Rubro-Negra (Red-Black Tree)](src/data-structures/tree/red-black-tree/README.pt-BR.md) + * `A` [Árvore de Segmento (Segment Tree)](src/data-structures/tree/segment-tree/README.pt-BR.md) - com exemplos de consultas min / max / sum range * `A` [Árvore Fenwick (Fenwick Tree)](src/data-structures/tree/fenwick-tree/README.pt-BR.md) (Árvore indexada binária) * `A` [Grafo (Graph)](src/data-structures/graph/README.pt-BR.md) (ambos dirigidos e não direcionados) -* `A` [Conjunto Disjuntor (Disjoint Set)](src/data-structures/disjoint-set/README.pt-BR.md) +* `A` [Conjunto Disjunto (Disjoint Set)](src/data-structures/disjoint-set/README.pt-BR.md) * `A` [Filtro Bloom (Bloom Filter)](src/data-structures/bloom-filter/README.pt-BR.md) ## Algoritmos @@ -72,36 +70,37 @@ um conjunto de regras que define precisamente uma sequência de operações. * `B` [Algoritmo Euclidiano](src/algorithms/math/euclidean-algorithm) - Calcular o Máximo Divisor Comum (MDC) * `B` [Mínimo Múltiplo Comum](src/algorithms/math/least-common-multiple) Calcular o Mínimo Múltiplo Comum (MMC) * `B` [Peneira de Eratóstenes](src/algorithms/math/sieve-of-eratosthenes) - Encontrar todos os números primos até um determinado limite - * `B` [Potência de dois](src/algorithms/math/is-power-of-two) - Verifique se o número é a potência de dois (algoritmos ingênuos e bit a bit) + * `B` [Potência de Dois](src/algorithms/math/is-power-of-two) - Verifique se o número é a potência de dois (algoritmos ingênuos e bit a bit) * `B` [Triângulo de Pascal](src/algorithms/math/pascal-triangle) - * `B` [Número complexo](src/algorithms/math/complex-number) - Números complexos e operações básicas com eles - * `A` [Partição inteira](src/algorithms/math/integer-partition) + * `B` [Número Complexo](src/algorithms/math/complex-number) - Números complexos e operações básicas com eles + * `A` [Partição Inteira](src/algorithms/math/integer-partition) * `A` [Algoritmo Liu Hui π](src/algorithms/math/liu-hui) - Cálculos aproximados de π baseados em N-gons * **Conjuntos** - * `B` [Produto cartesiano](src/algorithms/sets/cartesian-product) - Produto de vários conjuntos + * `B` [Produto Cartesiano](src/algorithms/sets/cartesian-product) - Produto de vários conjuntos * `B` [Permutações de Fisher–Yates](src/algorithms/sets/fisher-yates) - Permutação aleatória de uma sequência finita * `A` [Potência e Conjunto](src/algorithms/sets/power-set) - Todos os subconjuntos de um conjunto * `A` [Permutações](src/algorithms/sets/permutations) (com e sem repetições) * `A` [Combinações](src/algorithms/sets/combinations) (com e sem repetições) - * `A` [Mais longa subsequência comum](src/algorithms/sets/longest-common-subsequence) (LCS) - * `A` [Maior subsequência crescente](src/algorithms/sets/longest-increasing-subsequence) - * `A` [Supersequência Comum mais curta](src/algorithms/sets/shortest-common-supersequence) (SCS) - * `A` [Problema da mochila](src/algorithms/sets/knapsack-problem) - "0/1" e "Não consolidado" - * `A` [Máximo Subarray](src/algorithms/sets/maximum-subarray) - "Força bruta" e " Programação Dinâmica" versões (Kadane's) + * `A` [Mais Longa Subsequência Comum](src/algorithms/sets/longest-common-subsequence) (LCS) + * `A` [Maior Subsequência Crescente](src/algorithms/sets/longest-increasing-subsequence) + * `A` [Supersequência Comum Mais Curta](src/algorithms/sets/shortest-common-supersequence) (SCS) + * `A` [Problema da Mochila](src/algorithms/sets/knapsack-problem) - "0/1" e "Não consolidado" + * `A` [Subarray Máximo](src/algorithms/sets/maximum-subarray) - "Força bruta" e "Programação Dinâmica", versões de Kadane * `A` [Soma de Combinação](src/algorithms/sets/combination-sum) - Encontre todas as combinações que formam uma soma específica * **Cadeia de Caracteres** - * `B` [Hamming Distance](src/algorithms/string/hamming-distance) - Número de posições em que os símbolos são diferentes - * `A` [Levenshtein Distance](src/algorithms/string/levenshtein-distance) - Distância mínima de edição entre duas sequências - * `A` [Knuth–Morris–Pratt Algorithm](src/algorithms/string/knuth-morris-pratt) (Algoritmo KMP) - Pesquisa de substring (correspondência de padrão) + * `B` [Distância de Hamming](src/algorithms/string/hamming-distance) - Número de posições em que os símbolos são diferentes + * `B` [Palíndromos](src/algorithms/string/palindrome) - Verifique se a cadeia de caracteres (string) é a mesma ao contrário + * `A` [Distância Levenshtein](src/algorithms/string/levenshtein-distance) - Distância mínima de edição entre duas sequências + * `A` [Algoritmo Knuth–Morris–Pratt](src/algorithms/string/knuth-morris-pratt) (Algoritmo KMP) - Pesquisa de substring (correspondência de padrão) * `A` [Z Algorithm](src/algorithms/string/z-algorithm) - Pesquisa de substring (correspondência de padrão) - * `A` [Rabin Karp Algorithm](src/algorithms/string/rabin-karp) - Pesquisa de substring - * `A` [Longest Common Substring](src/algorithms/string/longest-common-substring) - * `A` [Regular Expression Matching](src/algorithms/string/regular-expression-matching) + * `A` [Algoritmo de Rabin Karp](src/algorithms/string/rabin-karp) - Pesquisa de substring + * `A` [Substring Comum Mais Longa](src/algorithms/string/longest-common-substring) + * `A` [Expressões Regulares Correspondentes](src/algorithms/string/regular-expression-matching) * **Buscas** - * `B` [Linear Search](src/algorithms/search/linear-search) - * `B` [Jump Search](src/algorithms/search/jump-search) (ou Bloquear pesquisa) - Pesquisar na matriz ordenada - * `B` [Binary Search](src/algorithms/search/binary-search) - Pesquisar na matriz ordenada - * `B` [Interpolation Search](src/algorithms/search/interpolation-search) - Pesquisar em matriz classificada uniformemente distribuída + * `B` [Busca Linear (Linear Search)](src/algorithms/search/linear-search) + * `B` [Busca por Saltos (Jump Search)](src/algorithms/search/jump-search) - Pesquisa em matriz ordenada + * `B` [Busca Binária (Binary Search)](src/algorithms/search/binary-search) - Pesquisa em matriz ordenada + * `B` [Busca por Interpolação (Interpolation Search)](src/algorithms/search/interpolation-search) - Pesquisa em matriz classificada uniformemente distribuída * **Classificação** * `B` [Bubble Sort](src/algorithms/sorting/bubble-sort) * `B` [Selection Sort](src/algorithms/sorting/selection-sort) @@ -112,35 +111,35 @@ um conjunto de regras que define precisamente uma sequência de operações. * `B` [Shellsort](src/algorithms/sorting/shell-sort) * `B` [Counting Sort](src/algorithms/sorting/counting-sort) * `B` [Radix Sort](src/algorithms/sorting/radix-sort) -* **Arvóres** - * `B` [Depth-First Search](src/algorithms/tree/depth-first-search) (DFS) - * `B` [Breadth-First Search](src/algorithms/tree/breadth-first-search) (BFS) +* **Árvores** + * `B` [Busca em Profundidade (Depth-First Search)](src/algorithms/tree/depth-first-search) (DFS) + * `B` [Busca em Largura (Breadth-First Search)](src/algorithms/tree/breadth-first-search) (BFS) * **Grafos** - * `B` [Depth-First Search](src/algorithms/graph/depth-first-search) (DFS) - * `B` [Breadth-First Search](src/algorithms/graph/breadth-first-search) (BFS) - * `B` [Kruskal’s Algorithm](src/algorithms/graph/kruskal) - Encontrar Árvore Mínima de Abrangência (MST) para grafo não direcionado ponderado - * `A` [Dijkstra Algorithm](src/algorithms/graph/dijkstra) - Encontrar caminhos mais curtos para todos os vértices do grafo a partir de um único vértice - * `A` [Bellman-Ford Algorithm](src/algorithms/graph/bellman-ford) - Encontrar caminhos mais curtos para todos os vértices do grafo a partir de um único vértice - * `A` [Floyd-Warshall Algorithm](src/algorithms/graph/floyd-warshall) - Encontrar caminhos mais curtos entre todos os pares de vértices - * `A` [Detect Cycle](src/algorithms/graph/detect-cycle) - Para gráficos direcionados e não direcionados (versões baseadas em DFS e Conjunto Disjuntivo) - * `A` [Prim’s Algorithm](src/algorithms/graph/prim) - Encontrando Árvore Mínima de Abrangência (MST) para grafo não direcionado ponderado - * `A` [Topological Sorting](src/algorithms/graph/topological-sorting) - Métodos DFS - * `A` [Articulation Points](src/algorithms/graph/articulation-points) -O algoritmo de Tarjan (baseado em DFS) - * `A` [Bridges](src/algorithms/graph/bridges) - Algoritmo baseado em DFS - * `A` [Eulerian Path and Eulerian Circuit](src/algorithms/graph/eulerian-path) - Algoritmo de Fleury - Visite todas as bordas exatamente uma vez - * `A` [Hamiltonian Cycle](src/algorithms/graph/hamiltonian-cycle) - Visite todas as bordas exatamente uma vez - * `A` [Strongly Connected Components](src/algorithms/graph/strongly-connected-components) - Algoritmo de Kosaraju's - * `A` [Travelling Salesman Problem](src/algorithms/graph/travelling-salesman) - Rota mais curta possível que visita cada cidade e retorna à cidade de origem + * `B` [Busca em Profundidade (Depth-First Search)](src/algorithms/graph/depth-first-search) (DFS) + * `B` [Busca em Largura (Breadth-First Search)](src/algorithms/graph/breadth-first-search) (BFS) + * `B` [Algoritmo de Kruskal](src/algorithms/graph/kruskal) - Encontrando Árvore Mínima de Abrangência (MST) para grafo conexo com pesos + * `A` [Algoritmo de Dijkstra](src/algorithms/graph/dijkstra) - Encontrar caminhos mais curtos para todos os vértices do grafo a partir de um único vértice + * `A` [Algoritmo de Bellman-Ford](src/algorithms/graph/bellman-ford) - Encontrar caminhos mais curtos para todos os vértices do grafo a partir de um único vértice + * `A` [Algoritmo de Floyd-Warshall](src/algorithms/graph/floyd-warshall) - Encontrar caminhos mais curtos entre todos os pares de vértices + * `A` [Detectar Ciclo](src/algorithms/graph/detect-cycle) - Para grafos direcionados e não direcionados (versões baseadas em DFS e Conjunto Disjuntivo) + * `A` [Algoritmo de Prim](src/algorithms/graph/prim) - Encontrando Árvore Mínima de Abrangência (MST) para grafo não direcionado ponderado + * `A` [Ordenação Topológica](src/algorithms/graph/topological-sorting) - Métodos DFS + * `A` [Pontos de Articulação](src/algorithms/graph/articulation-points) - O algoritmo de Tarjan (baseado em DFS) + * `A` [Pontes](src/algorithms/graph/bridges) - Algoritmo baseado em DFS + * `A` [Caminho e Circuito Euleriano](src/algorithms/graph/eulerian-path) - Algoritmo de Fleury - Visite todas as bordas exatamente uma vez + * `A` [Ciclo Hamiltoniano](src/algorithms/graph/hamiltonian-cycle) - Visite todas as bordas exatamente uma vez + * `A` [Componentes Fortemente Conectados](src/algorithms/graph/strongly-connected-components) - Algoritmo de Kosaraju + * `A` [Problema do Caixeiro Viajante](src/algorithms/graph/travelling-salesman) - Rota mais curta possível que visita cada cidade e retorna à cidade de origem * **Criptografia** - * `B` [Polynomial Hash](src/algorithms/cryptography/polynomial-hash) - Função de hash de rolagem baseada em polinômio + * `B` [Hash Polinomial](src/algorithms/cryptography/polynomial-hash) - Função de hash de rolagem baseada em polinômio * **Sem categoria** - * `B` [Tower of Hanoi](src/algorithms/uncategorized/hanoi-tower) - * `B` [Square Matrix Rotation](src/algorithms/uncategorized/square-matrix-rotation) - Algoritmo no local - * `B` [Jump Game](src/algorithms/uncategorized/jump-game) - Backtracking, programação dinâmica (top-down + bottom-up) e exemplos gananciosos - * `B` [Unique Paths](src/algorithms/uncategorized/unique-paths) - Backtracking, programação dinâmica e exemplos baseados no triângulo de Pascal - * `B` [Rain Terraces](src/algorithms/uncategorized/rain-terraces) - Trapping problema da água da chuva (programação dinâmica e versões de força bruta) - * `A` [N-Queens Problem](src/algorithms/uncategorized/n-queens) - * `A` [Knight's Tour](src/algorithms/uncategorized/knight-tour) + * `B` [Torre de Hanoi](src/algorithms/uncategorized/hanoi-tower) + * `B` [Rotação de Matriz Quadrada](src/algorithms/uncategorized/square-matrix-rotation) - Algoritmo no local + * `B` [Jogo do Salto](src/algorithms/uncategorized/jump-game) - Backtracking, programação dinâmica (top-down + bottom-up) e exemplos gananciosos + * `B` [Caminhos Únicos](src/algorithms/uncategorized/unique-paths) - Backtracking, programação dinâmica e exemplos baseados no triângulo de Pascal + * `B` [Terraços de Chuva](src/algorithms/uncategorized/rain-terraces) - Problema de retenção da água da chuva (programação dinâmica e versões de força bruta) + * `A` [Problema das N-Rainhas](src/algorithms/uncategorized/n-queens) + * `A` [Passeio do Cavaleiro](src/algorithms/uncategorized/knight-tour) ### Algoritmos por Paradigma @@ -149,54 +148,52 @@ de algoritmos. É uma abstração maior do que a noção de um algoritmo, assim algoritmo é uma abstração maior que um programa de computador. * **Força bruta** - Pense em todas as possibilidades e escolha a melhor solução - * `B` [Linear Search](src/algorithms/search/linear-search) - * `B` [Rain Terraces](src/algorithms/uncategorized/rain-terraces) - Trapping problema da água da chuva - * `A` [Maximum Subarray](src/algorithms/sets/maximum-subarray) - * `A` [Travelling Salesman Problem](src/algorithms/graph/travelling-salesman) - Rota mais curta possível que visita cada cidade e retorna à cidade de origem + * `B` [Busca Linear (Linear Search)](src/algorithms/search/linear-search) + * `B` [Terraços de Chuva](src/algorithms/uncategorized/rain-terraces) - Problema de retenção de água da chuva (programação dinâmica e versões de força bruta) + * `A` [Subarray Máximo](src/algorithms/sets/maximum-subarray) + * `A` [Problema do Caixeiro Viajante](src/algorithms/graph/travelling-salesman) - Rota mais curta possível que visita cada cidade e retorna à cidade de origem * **Ganância** - Escolha a melhor opção no momento, sem qualquer consideração pelo futuro - * `B` [Jump Game](src/algorithms/uncategorized/jump-game) - * `A` [Unbound Knapsack Problem](src/algorithms/sets/knapsack-problem) - * `A` [Dijkstra Algorithm](src/algorithms/graph/dijkstra) - Encontrar o caminho mais curto para todos os vértices do gráfico - * `A` [Prim’s Algorithm](src/algorithms/graph/prim) - Encontrando Árvore Mínima de Abrangência (MST) para grafo não direcionado ponderado - * `A` [Kruskal’s Algorithm](src/algorithms/graph/kruskal) - Encontrando Árvore Mínima de Abrangência (MST) para grafo não direcionado ponderado + * `B` [Jogo do Salto](src/algorithms/uncategorized/jump-game) + * `A` [Problema da Mochila](src/algorithms/sets/knapsack-problem) + * `A` [Algoritmo de Dijkstra](src/algorithms/graph/dijkstra) - Encontrar caminhos mais curtos para todos os vértices do grafo a partir de um único vértice + * `A` [Algoritmo de Prim](src/algorithms/graph/prim) - Encontrando Árvore Mínima de Abrangência (MST) para grafo não direcionado ponderado + * `A` [Algoritmo de Kruskal](src/algorithms/graph/kruskal) - Encontrando Árvore Mínima de Abrangência (MST) para grafo conexo com pesos * **Dividir e Conquistar** - Dividir o problema em partes menores e então resolver essas partes - * `B` [Busca binária (Binary Search)](src/algorithms/search/binary-search) - * `B` [Tower of Hanoi](src/algorithms/uncategorized/hanoi-tower) - * `B` [Pascal's Triangle](src/algorithms/math/pascal-triangle) - * `B` [Euclidean Algorithm](src/algorithms/math/euclidean-algorithm) - Calcular o Máximo Divisor Comum (MDC) + * `B` [Busca Binária (Binary Search)](src/algorithms/search/binary-search) + * `B` [Torre de Hanoi](src/algorithms/uncategorized/hanoi-tower) + * `B` [Triângulo de Pascal](src/algorithms/math/pascal-triangle) + * `B` [Algoritmo Euclidiano](src/algorithms/math/euclidean-algorithm) - Calcular o Máximo Divisor Comum (MDC) * `B` [Merge Sort](src/algorithms/sorting/merge-sort) * `B` [Quicksort](src/algorithms/sorting/quick-sort) - * `B` [Tree Depth-First Search](src/algorithms/tree/depth-first-search) (DFS) - * `B` [Graph Depth-First Search](src/algorithms/graph/depth-first-search) (DFS) - * `B` [Jump Game](src/algorithms/uncategorized/jump-game) - * `A` [Permutations](src/algorithms/sets/permutations) (com e sem repetições) - * `A` [Combinations](src/algorithms/sets/combinations) (com e sem repetições) + * `B` [Busca em Profundidade (Depth-First Search)](src/algorithms/tree/depth-first-search) (DFS) + * `B` [Busca em Largura (Breadth-First Search)](src/algorithms/graph/breadth-first-search) (BFS) + * `B` [Jogo do Salto](src/algorithms/uncategorized/jump-game) + * `A` [Permutações](src/algorithms/sets/permutations) (com e sem repetições) + * `A` [Combinações](src/algorithms/sets/combinations) (com e sem repetições) * **Programação Dinâmica** - Criar uma solução usando sub-soluções encontradas anteriormente - * `B` [Fibonacci Number](src/algorithms/math/fibonacci) - * `B` [Jump Game](src/algorithms/uncategorized/jump-game) - * `B` [Unique Paths](src/algorithms/uncategorized/unique-paths) - * `B` [Rain Terraces](src/algorithms/uncategorized/rain-terraces) - Trapping problema da água da chuva - * `A` [Levenshtein Distance](src/algorithms/string/levenshtein-distance) - Distância mínima de edição entre duas sequências - * `A` [Longest Common Subsequence](src/algorithms/sets/longest-common-subsequence) (LCS) - * `A` [Longest Common Substring](src/algorithms/string/longest-common-substring) - * `A` [Longest Increasing Subsequence](src/algorithms/sets/longest-increasing-subsequence) - * `A` [Shortest Common Supersequence](src/algorithms/sets/shortest-common-supersequence) - * `A` [0/1 Knapsack Problem](src/algorithms/sets/knapsack-problem) - * `A` [Integer Partition](src/algorithms/math/integer-partition) - * `A` [Maximum Subarray](src/algorithms/sets/maximum-subarray) - * `A` [Bellman-Ford Algorithm](src/algorithms/graph/bellman-ford) - Encontrar o caminho mais curto para todos os vértices do gráfico - * `A` [Floyd-Warshall Algorithm](src/algorithms/graph/floyd-warshall) - Encontrar caminhos mais curtos entre todos os pares de vértices - * `A` [Regular Expression Matching](src/algorithms/string/regular-expression-matching) -* **Backtracking** - Da mesma forma que a força bruta, tente gerar todas as soluções possíveis, mas cada vez que você gerar a próxima solução, você testará -se satisfizer todas as condições, e só então continuar gerando soluções subseqüentes. Caso contrário, volte atrás e siga um caminho diferente para encontrar uma solução. Normalmente, a passagem DFS do espaço de estados está sendo usada. - * `B` [Jump Game](src/algorithms/uncategorized/jump-game) - * `B` [Unique Paths](src/algorithms/uncategorized/unique-paths) - * `A` [Hamiltonian Cycle](src/algorithms/graph/hamiltonian-cycle) - Visite todos os vértices exatamente uma vez - * `A` [N-Queens Problem](src/algorithms/uncategorized/n-queens) - * `A` [Knight's Tour](src/algorithms/uncategorized/knight-tour) - * `A` [Combination Sum](src/algorithms/sets/combination-sum) - Encontre todas as combinações que formam uma soma específica -* **Branch & Bound** - Lembre-se da solução de menor custo encontrada em cada etapa do retrocesso -pesquisar e usar o custo da solução de menor custo encontrada até o limite inferior do custo de + * `B` [Número de Fibonacci](src/algorithms/math/fibonacci) + * `B` [Jogo do Salto](src/algorithms/uncategorized/jump-game) + * `B` [Caminhos Únicos](src/algorithms/uncategorized/unique-paths) + * `B` [Terraços de Chuva](src/algorithms/uncategorized/rain-terraces) - Trapping problema da água da chuva + * `A` [Distância Levenshtein](src/algorithms/string/levenshtein-distance) - Distância mínima de edição entre duas sequências + * `A` [Mais Longa Subsequência Comum](src/algorithms/sets/longest-common-subsequence) (LCS) + * `A` [Substring Comum Mais Longa](src/algorithms/string/longest-common-substring) + * `A` [Maior Subsequência Crescente](src/algorithms/sets/longest-increasing-subsequence) + * `A` [Supersequência Comum Mais Curta](src/algorithms/sets/shortest-common-supersequence) + * `A` [Problema da Mochila](src/algorithms/sets/knapsack-problem) + * `A` [Partição Inteira](src/algorithms/math/integer-partition) + * `A` [Subarray Máximo](src/algorithms/sets/maximum-subarray) + * `A` [Algoritmo de Bellman-Ford](src/algorithms/graph/bellman-ford) - Encontrar caminhos mais curtos para todos os vértices do grafo a partir de um único vértice + * `A` [Algoritmo de Floyd-Warshall](src/algorithms/graph/floyd-warshall) - Encontrar caminhos mais curtos entre todos os pares de vértices + * `A` [Expressões Regulares Correspondentes](src/algorithms/string/regular-expression-matching) +* **Backtracking** - Da mesma forma que a força bruta, tente gerar todas as soluções possíveis, mas, cada vez que você gerar a próxima solução será necessário testar se a mesma satisfaz todas as condições, e só então continuará a gerar as soluções subsequentes. Caso contrário, volte atrás e siga um caminho diferente para encontrar uma solução. Normalmente, a passagem DFS do espaço de estados está sendo usada. + * `B` [Jogo do Salto](src/algorithms/uncategorized/jump-game) + * `B` [Caminhos Únicos](src/algorithms/uncategorized/unique-paths) + * `A` [Ciclo Hamiltoniano](src/algorithms/graph/hamiltonian-cycle) - Visite todos os vértices exatamente uma vez + * `A` [Problema das N-Rainhas](src/algorithms/uncategorized/n-queens) + * `A` [Passeio do Cavaleiro](src/algorithms/uncategorized/knight-tour) + * `A` [Soma de Combinação](src/algorithms/sets/combination-sum) - Encontre todas as combinações que formam uma soma específica +* **Branch & Bound** - Lembre-se da solução de menor custo encontrada em cada etapa do retrocesso, pesquisar e usar o custo da solução de menor custo encontrada até o limite inferior do custo de solução de menor custo para o problema, a fim de descartar soluções parciais com custos maiores que o solução de menor custo encontrada até o momento. Normalmente, a travessia BFS em combinação com a passagem DFS do espaço de estados árvore está sendo usada @@ -225,10 +222,19 @@ npm test ``` npm test -- 'LinkedList' ``` +**Solução de problemas** + +Caso o linting ou o teste estejam falhando, tente excluir a pasta node_modules e reinstalar os pacotes npm: +``` +rm -rf ./node_modules +npm i +``` + +Verifique também se você está usando uma versão correta do Node (>=14.16.0). Se você estiver usando [nvm](https://github.com/nvm-sh/nvm) para gerenciamento de versão do Node, você pode executar `nvm use` a partir da pasta raiz do projeto e a versão correta será escolhida. -**Parque infantil** +**Playground** -Você pode brincar com estruturas de dados e algoritmos em `./src/playground/playground.js` arquivar e escrever +Você pode brincar com estruturas de dados e algoritmos no arquivo `./src/playground/playground.js` e escrever testes para isso em `./src/playground/__test__/playground.test.js`. Em seguida, basta executar o seguinte comando para testar se o código do seu playground funciona conforme o esperado: @@ -241,15 +247,16 @@ npm test -- 'playground' ### Referências -[▶ Estruturas de dados e algoritmos no YouTube](https://www.youtube.com/playlist?list=PLLXdhg_r2hKA7DPDsunoDZ-Z769jWn4R8) +- [▶ Estruturas de Dados e Algoritmos no YouTube](https://www.youtube.com/playlist?list=PLLXdhg_r2hKA7DPDsunoDZ-Z769jWn4R8) +- [✍🏻 Esboços de Estruturas de Dados](https://okso.app/showcase/data-structures) ### Notação Big O -Ordem de crescimento dos algoritmos especificados em notação Big O. +A notação Big O é usada para classificar algoritmos de acordo com a forma como seu tempo de execução ou requisitos de espaço crescem à medida que o tamanho da entrada aumenta. No gráfico abaixo você pode encontrar as ordens mais comuns de crescimento de algoritmos especificados na notação Big O. ![Notação Big-O](./assets/big-o-graph.png) -Fonte: [Notação Big-O dicas](http://bigocheatsheet.com/). +Fonte: [Notação Big-O Dicas](http://bigocheatsheet.com/). Abaixo está a lista de algumas das notações Big O mais usadas e suas comparações de desempenho em relação aos diferentes tamanhos dos dados de entrada. @@ -271,14 +278,14 @@ Abaixo está a lista de algumas das notações Big O mais usadas e suas compara | **Stack** | n | n | 1 | 1 | | | **Queue** | n | n | 1 | 1 | | | **Linked List** | n | n | 1 | 1 | | -| **Hash Table** | - | n | n | n | Em caso de uma função hash perfeita, os custos seriam O (1) | -| **Binary Search Tree** | n | n | n | n | No caso de custos de árvore equilibrados seria O (log (n)) +| **Hash Table** | - | n | n | n | Em caso de uma função hash perfeita, os custos seriam O(1) | +| **Binary Search Tree** | n | n | n | n | No caso de custos de árvore equilibrados seria O(log(n)) | **B-Tree** | log(n) | log(n) | log(n) | log(n) | | | **Red-Black Tree** | log(n) | log(n) | log(n) | log(n) | | | **AVL Tree** | log(n) | log(n) | log(n) | log(n) | | | **Bloom Filter** | - | 1 | 1 | - | Falsos positivos são possíveis durante a pesquisa | -### Array Sorting Algorithms Complexity +### Complexidade dos Algoritmos de Ordenação de Matrizes | Nome | Melhor | Média | Pior | Mémoria | Estável | Comentários | | --------------------- | :-------------: | :-----------------: | :-----------------: | :-------: | :-------: | :-------- | @@ -287,7 +294,7 @@ Abaixo está a lista de algumas das notações Big O mais usadas e suas compara | **Selection sort** | n2 | n2 | n2 | 1 | Não | | | **Heap sort** | n log(n) | n log(n) | n log(n) | 1 | Não | | | **Merge sort** | n log(n) | n log(n) | n log(n) | n | Sim | | -| **Quick sort** | n log(n) | n log(n) | n2 | log(n) | Não | O Quicksort geralmente é feito no local com o espaço de pilha O O(log(n)) stack space | +| **Quick sort** | n log(n) | n log(n) | n2 | log(n) | Não | O Quicksort geralmente é feito no local com espaço de pilha O(log(n)) | | **Shell sort** | n log(n) | depende da sequência de lacunas | n (log(n))2 | 1 | Não | | | **Counting sort** | n + r | n + r | n + r | n + r | Sim | r - maior número na matriz | | **Radix sort** | n * k | n * k | n * k | n + k | Sim | k - comprimento da chave mais longa | diff --git a/src/algorithms/linked-list/reverse-traversal/README.md b/src/algorithms/linked-list/reverse-traversal/README.md index 8a7e3d9e66..7e3f3cd6bb 100644 --- a/src/algorithms/linked-list/reverse-traversal/README.md +++ b/src/algorithms/linked-list/reverse-traversal/README.md @@ -1,7 +1,8 @@ # Reversed Linked List Traversal _Read this in other languages:_ -[中文](README.zh-CN.md) +[_中文_](README.zh-CN.md), +[_Português_](README.pt-BR.md) The task is to traverse the given linked list in reversed order. diff --git a/src/algorithms/linked-list/reverse-traversal/README.pt-BR.md b/src/algorithms/linked-list/reverse-traversal/README.pt-BR.md new file mode 100644 index 0000000000..b2761ad720 --- /dev/null +++ b/src/algorithms/linked-list/reverse-traversal/README.pt-BR.md @@ -0,0 +1,23 @@ +# Travessia de Lista Encadeada Reversa + +_Leia isso em outros idiomas:_ +[_中文_](README.zh-CN.md), +[_English_](README.md) + +A tarefa é percorrer a lista encadeada fornecida em ordem inversa. + +Por exemplo, para a seguinte lista vinculada: + +![](https://upload.wikimedia.org/wikipedia/commons/6/6d/Singly-linked-list.svg) + +A ordem de travessia deve ser: + +```texto +37 → 99 → 12 +``` + +A complexidade de tempo é `O(n)` porque visitamos cada nó apenas uma vez. + +## Referência + +- [Wikipedia](https://en.wikipedia.org/wiki/Linked_list) diff --git a/src/algorithms/linked-list/traversal/README.md b/src/algorithms/linked-list/traversal/README.md index 9acbe98dd9..09b177494c 100644 --- a/src/algorithms/linked-list/traversal/README.md +++ b/src/algorithms/linked-list/traversal/README.md @@ -2,7 +2,8 @@ _Read this in other languages:_ [_Русский_](README.ru-RU.md), -[中文](README.zh-CN.md) +[_中文_](README.zh-CN.md), +[_Português_](README.pt-BR.md) The task is to traverse the given linked list in straight order. diff --git a/src/algorithms/linked-list/traversal/README.pt-BR.md b/src/algorithms/linked-list/traversal/README.pt-BR.md new file mode 100644 index 0000000000..0fae9ed01a --- /dev/null +++ b/src/algorithms/linked-list/traversal/README.pt-BR.md @@ -0,0 +1,24 @@ +# Travessia de Lista Encadeada + +_Leia isso em outros idiomas:_ +[_Русский_](README.ru-RU.md), +[_中文_](README.zh-CN.md), +[_English_](README.md) + +A tarefa é percorrer a lista encadeada fornecida em ordem direta. + +Por exemplo, para a seguinte lista vinculada: + +![Singly linked list](https://upload.wikimedia.org/wikipedia/commons/6/6d/Singly-linked-list.svg) + +A ordem de travessia deve ser: + +```texto +12 → 99 → 37 +``` + +A complexidade de tempo é `O(n)` porque visitamos cada nó apenas uma vez. + +## Referência + +- [Wikipedia](https://en.wikipedia.org/wiki/Linked_list) diff --git a/src/algorithms/ml/k-means/README.md b/src/algorithms/ml/k-means/README.md index aebd60e100..4221880054 100644 --- a/src/algorithms/ml/k-means/README.md +++ b/src/algorithms/ml/k-means/README.md @@ -1,5 +1,8 @@ # k-Means Algorithm +_Read this in other languages:_ +[_Português_](README.pt-BR.md) + The **k-Means algorithm** is an unsupervised Machine Learning algorithm. It's a clustering algorithm, which groups the sample data on the basis of similarity between dimensions of vectors. In k-Means classification, the output is a set of classes assigned to each vector. Each cluster location is continuously optimized in order to get the accurate locations of each cluster such that they represent each group clearly. diff --git a/src/algorithms/ml/k-means/README.pt-BR.md b/src/algorithms/ml/k-means/README.pt-BR.md new file mode 100644 index 0000000000..d814ac19bc --- /dev/null +++ b/src/algorithms/ml/k-means/README.pt-BR.md @@ -0,0 +1,35 @@ +# Algoritmo k-Means + +_Leia isso em outros idiomas:_ +[_English_](README.md) + +O **algoritmo k-Means** é um algoritmo de aprendizado de máquina não supervisionado. É um algoritmo de agrupamento, que agrupa os dados da amostra com base na semelhança entre as dimensões dos vetores. + +Na classificação k-Means, a saída é um conjunto de classes atribuídas a cada vetor. Cada localização de cluster é continuamente otimizada para obter as localizações precisas de cada cluster de forma que representem cada grupo claramente. + +A ideia é calcular a similaridade entre a localização do cluster e os vetores de dados e reatribuir os clusters com base nela. [Distância Euclidiana](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/math/euclidean-distance) é usado principalmente para esta tarefa. + +![Distância Euclidiana entre dois pontos](https://upload.wikimedia.org/wikipedia/commons/5/55/Euclidean_distance_2d.svg) + +_Fonte: [Wikipedia](https://en.wikipedia.org/wiki/Euclidean_distance)_ + +O algoritmo é o seguinte: + +1. Verifique se há erros como dados inválidos/inconsistentes +2. Inicialize os locais do cluster `k` com pontos `k` iniciais/aleatórios +3. Calcule a distância de cada ponto de dados de cada cluster +4. Atribua o rótulo do cluster de cada ponto de dados igual ao do cluster em sua distância mínima +5. Calcule o centroide de cada cluster com base nos pontos de dados que ele contém +6. Repita cada uma das etapas acima até que as localizações do centroide estejam variando + +Aqui está uma visualização do agrupamento k-Means para melhor compreensão: + +![KNN Visualization 1](https://upload.wikimedia.org/wikipedia/commons/e/ea/K-means_convergence.gif) + +_Fonte: [Wikipedia](https://en.wikipedia.org/wiki/K-means_clustering)_ + +Os centroides estão se movendo continuamente para criar uma melhor distinção entre os diferentes conjuntos de pontos de dados. Como podemos ver, após algumas iterações, a diferença de centroides é bastante baixa entre as iterações. Por exemplo, entre as iterações `13` e `14` a diferença é bem pequena porque o otimizador está ajustando os casos limite. + +## Referências + +- [k-Means neighbors algorithm on Wikipedia](https://en.wikipedia.org/wiki/K-means_clustering) diff --git a/src/algorithms/ml/knn/README.md b/src/algorithms/ml/knn/README.md index 0d61c14fb7..1fc168eaf2 100644 --- a/src/algorithms/ml/knn/README.md +++ b/src/algorithms/ml/knn/README.md @@ -1,5 +1,8 @@ # k-Nearest Neighbors Algorithm +_Read this in other languages:_ +[_Português_](README.pt-BR.md) + The **k-nearest neighbors algorithm (k-NN)** is a supervised Machine Learning algorithm. It's a classification algorithm, determining the class of a sample vector using a sample data. In k-NN classification, the output is a class membership. An object is classified by a plurality vote of its neighbors, with the object being assigned to the class most common among its `k` nearest neighbors (`k` is a positive integer, typically small). If `k = 1`, then the object is simply assigned to the class of that single nearest neighbor. diff --git a/src/algorithms/ml/knn/README.pt-BR.md b/src/algorithms/ml/knn/README.pt-BR.md new file mode 100644 index 0000000000..b2abdd784f --- /dev/null +++ b/src/algorithms/ml/knn/README.pt-BR.md @@ -0,0 +1,44 @@ +# Algoritmo de k-vizinhos mais próximos + +_Leia isso em outros idiomas:_ +[_English_](README.md) + +O **algoritmo de k-vizinhos mais próximos (k-NN)** é um algoritmo de aprendizado de máquina supervisionado. É um algoritmo de classificação, determinando a classe de um vetor de amostra usando dados de amostra. + +Na classificação k-NN, a saída é uma associação de classe. Um objeto é classificado por uma pluralidade de votos de seus vizinhos, com o objeto sendo atribuído à classe mais comum entre seus `k` vizinhos mais próximos (`k` é um inteiro positivo, tipicamente pequeno). Se `k = 1`, então o objeto é simplesmente atribuído à classe daquele único vizinho mais próximo. + +The idea is to calculate the similarity between two data points on the basis of a distance metric. [Distância Euclidiana](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/math/euclidean-distance) é usado principalmente para esta tarefa. + +![Distância Euclidiana entre dois pontos](https://upload.wikimedia.org/wikipedia/commons/5/55/Euclidean_distance_2d.svg) + +_Fonte: [Wikipedia](https://en.wikipedia.org/wiki/Euclidean_distance)_ + +O algoritmo é o seguinte: + +1. Verifique se há erros como dados/rótulos inválidos. +2. Calcule a distância euclidiana de todos os pontos de dados nos dados de treinamento com o ponto de classificação +3. Classifique as distâncias dos pontos junto com suas classes em ordem crescente +4. Pegue as classes iniciais `K` e encontre o modo para obter a classe mais semelhante +5. Informe a classe mais semelhante + +Aqui está uma visualização da classificação k-NN para melhor compreensão: + +![KNN Visualization 1](https://upload.wikimedia.org/wikipedia/commons/e/e7/KnnClassification.svg) + +_Fonte: [Wikipedia](https://en.wikipedia.org/wiki/K-nearest_neighbors_algorithm)_ + +A amostra de teste (ponto verde) deve ser classificada em quadrados azuis ou em triângulos vermelhos. Se `k = 3` (círculo de linha sólida) é atribuído aos triângulos vermelhos porque existem `2` triângulos e apenas `1` quadrado dentro do círculo interno. Se `k = 5` (círculo de linha tracejada) é atribuído aos quadrados azuis (`3` quadrados vs. `2` triângulos dentro do círculo externo). + +Outro exemplo de classificação k-NN: + +![KNN Visualization 2](https://media.geeksforgeeks.org/wp-content/uploads/graph2-2.png) + +_Fonte: [GeeksForGeeks](https://media.geeksforgeeks.org/wp-content/uploads/graph2-2.png)_ + +Aqui, como podemos ver, a classificação dos pontos desconhecidos será julgada pela proximidade com outros pontos. + +É importante notar que `K` é preferível ter valores ímpares para desempate. Normalmente `K` é tomado como `3` ou `5`. + +## Referências + +- [k-nearest neighbors algorithm on Wikipedia](https://en.wikipedia.org/wiki/K-nearest_neighbors_algorithm) diff --git a/src/algorithms/sorting/bubble-sort/README.pt-BR.md b/src/algorithms/sorting/bubble-sort/README.pt-BR.md index c7862bb957..e650523d71 100644 --- a/src/algorithms/sorting/bubble-sort/README.pt-BR.md +++ b/src/algorithms/sorting/bubble-sort/README.pt-BR.md @@ -1,16 +1,19 @@ # Bubble Sort +_Leia isso em outros idiomas:_ +[_English_](README.md) + O bubble sort, ou ordenação por flutuação (literalmente "por bolha"), é um algoritmo de ordenação dos mais simples. A ideia é percorrer o vetor diversas vezes, e a cada passagem fazer flutuar para o topo o maior elemento da sequência. Essa movimentação lembra a forma como as bolhas em um tanque de água procuram seu próprio nível, e disso vem o nome do algoritmo. ![Algorithm Visualization](https://upload.wikimedia.org/wikipedia/commons/c/c8/Bubble-sort-example-300px.gif) -## Complexity +## Complexidade -| Name | Best | Average | Worst | Memory | Stable | Comments | +| Nome | Melhor | Média | Pior | Memória | Estável | Comentários | | --------------------- | :-------------: | :-----------------: | :-----------------: | :-------: | :-------: | :-------- | -| **Bubble sort** | n | n2 | n2 | 1 | Yes | | +| **Bubble sort** | n | n2 | n2 | 1 | Sim | | -## References +## Referências - [Wikipedia](https://pt.wikipedia.org/wiki/Bubble_sort) - [YouTube](https://www.youtube.com/watch?v=6Gv8vg0kcHc&index=27&t=0s&list=PLLXdhg_r2hKA7DPDsunoDZ-Z769jWn4R8) diff --git a/src/algorithms/sorting/counting-sort/README.md b/src/algorithms/sorting/counting-sort/README.md index 098961a0e0..40a9539a22 100644 --- a/src/algorithms/sorting/counting-sort/README.md +++ b/src/algorithms/sorting/counting-sort/README.md @@ -1,5 +1,8 @@ # Counting Sort +_Read this in other languages:_ +[_Português_](README.pt-BR.md) + In computer science, **counting sort** is an algorithm for sorting a collection of objects according to keys that are small integers; that is, it is an integer sorting algorithm. It operates by diff --git a/src/algorithms/sorting/counting-sort/README.pt-br.md b/src/algorithms/sorting/counting-sort/README.pt-br.md new file mode 100644 index 0000000000..af2c75f6af --- /dev/null +++ b/src/algorithms/sorting/counting-sort/README.pt-br.md @@ -0,0 +1,70 @@ +# Counting Sort + +_Leia isso em outros idiomas:_ +[_English_](README.md) + +Em ciência da computação, **counting sort** é um algoritmo para ordenar +uma coleção de objetos de acordo com chaves que são pequenos inteiros; +ou seja, é um algoritmo de ordenação de inteiros. Ele opera por +contando o número de objetos que têm cada valor de chave distinto, +e usando aritmética nessas contagens para determinar as posições +de cada valor de chave na sequência de saída. Seu tempo de execução é +linear no número de itens e a diferença entre o +valores de chave máximo e mínimo, portanto, é adequado apenas para +uso em situações em que a variação de tonalidades não é significativamente +maior que o número de itens. No entanto, muitas vezes é usado como +sub-rotina em outro algoritmo de ordenação, radix sort, que pode +lidar com chaves maiores de forma mais eficiente. + +Como a classificação por contagem usa valores-chave como índices em um vetor, +não é uma ordenação por comparação, e o limite inferior `Ω(n log n)` para +a ordenação por comparação não se aplica a ele. A classificação por bucket pode ser usada +para muitas das mesmas tarefas que a ordenação por contagem, com um tempo semelhante +análise; no entanto, em comparação com a classificação por contagem, a classificação por bucket requer +listas vinculadas, arrays dinâmicos ou uma grande quantidade de pré-alocados +memória para armazenar os conjuntos de itens dentro de cada bucket, enquanto +A classificação por contagem armazena um único número (a contagem de itens) +por balde. + +A classificação por contagem funciona melhor quando o intervalo de números para cada +elemento do vetor é muito pequeno. + +## Algoritmo + +**Passo I** + +Na primeira etapa, calculamos a contagem de todos os elementos do +vetor de entrada 'A'. Em seguida, armazene o resultado no vetor de contagem `C`. +A maneira como contamos é descrita abaixo. + +![Counting Sort](https://3.bp.blogspot.com/-jJchly1BkTc/WLGqCFDdvCI/AAAAAAAAAHA/luljAlz2ptMndIZNH0KLTTuQMNsfzDeFQCLcB/s1600/CSortUpdatedStepI.gif) + +**Passo II** + +Na segunda etapa, calculamos quantos elementos existem na entrada +do vetor `A` que são menores ou iguais para o índice fornecido. +`Ci` = números de elementos menores ou iguais a `i` no vetor de entrada. + +![Counting Sort](https://1.bp.blogspot.com/-1vFu-VIRa9Y/WLHGuZkdF3I/AAAAAAAAAHs/8jKu2dbQee4ap9xlVcNsILrclqw0UxAVACLcB/s1600/Step-II.png) + +**Passo III** + +Nesta etapa, colocamos o elemento `A` do vetor de entrada em classificado +posição usando a ajuda do vetor de contagem construída `C`, ou seja, o que +construímos no passo dois. Usamos o vetor de resultados `B` para armazenar +os elementos ordenados. Aqui nós lidamos com o índice de `B` começando de +zero. + +![Counting Sort](https://1.bp.blogspot.com/-xPqylngqASY/WLGq3p9n9vI/AAAAAAAAAHM/JHdtXAkJY8wYzDMBXxqarjmhpPhM0u8MACLcB/s1600/ResultArrayCS.gif) + +## Complexidade + +| Nome | Melhor | Média | Pior | Memória | Estável | Comentários | +| --------------------- | :-------------: | :-----------------: | :-----------------: | :-------: | :-------: | :-------- | +| **Counting sort** | n + r | n + r | n + r | n + r | Sim | r - Maior número no vetor | + +## Referências + +- [Wikipedia](https://en.wikipedia.org/wiki/Counting_sort) +- [YouTube](https://www.youtube.com/watch?v=OKd534EWcdk&index=61&t=0s&list=PLLXdhg_r2hKA7DPDsunoDZ-Z769jWn4R8) +- [EfficientAlgorithms](https://efficientalgorithms.blogspot.com/2016/09/lenear-sorting-counting-sort.html) diff --git a/src/algorithms/sorting/heap-sort/README.md b/src/algorithms/sorting/heap-sort/README.md index 6ccc50b3b0..2370776f1b 100644 --- a/src/algorithms/sorting/heap-sort/README.md +++ b/src/algorithms/sorting/heap-sort/README.md @@ -1,5 +1,8 @@ # Heap Sort +_Read this in other languages:_ +[_Português_](README.pt-BR.md) + Heapsort is a comparison-based sorting algorithm. Heapsort can be thought of as an improved selection sort: like that algorithm, it divides its input into diff --git a/src/algorithms/sorting/heap-sort/README.pt-BR.md b/src/algorithms/sorting/heap-sort/README.pt-BR.md new file mode 100644 index 0000000000..6d5a2d4849 --- /dev/null +++ b/src/algorithms/sorting/heap-sort/README.pt-BR.md @@ -0,0 +1,20 @@ +# Heap Sort + +_Leia isso em outros idiomas:_ +[_English_](README.md) + +Heapsort é um algoritmo de ordenação baseado em comparação. O Heapsort pode ser pensado como uma seleção aprimorada sort: como esse algoritmo, ele divide sua entrada em uma região classificada e uma região não classificada, e iterativamente encolhe a região não classificada extraindo o maior elemento e movendo-o para a região classificada. A melhoria consiste no uso de uma estrutura de dados heap em vez de uma busca em tempo linear para encontrar o máximo. + +![Visualização do Algoritmo](https://upload.wikimedia.org/wikipedia/commons/1/1b/Sorting_heapsort_anim.gif) + +![Visualização do Algoritmo](https://upload.wikimedia.org/wikipedia/commons/4/4d/Heapsort-example.gif) + +## Complexidade + +| Nome | Melhor | Média | Pior | Memória | Estável | Comentários | +| --------------------- | :-------------: | :-----------------: | :-----------------: | :-------: | :-------: | :-------- | +| **Heap sort** | n log(n) | n log(n) | n log(n) | 1 | Não | | + +## Referências + +[Wikipedia](https://en.wikipedia.org/wiki/Heapsort) diff --git a/src/algorithms/sorting/insertion-sort/README.md b/src/algorithms/sorting/insertion-sort/README.md index cd3a74ef34..8bc922683f 100644 --- a/src/algorithms/sorting/insertion-sort/README.md +++ b/src/algorithms/sorting/insertion-sort/README.md @@ -1,5 +1,8 @@ # Insertion Sort +_Read this in other languages:_ +[_Português_](README.pt-BR.md) + Insertion sort is a simple sorting algorithm that builds the final sorted array (or list) one item at a time. It is much less efficient on large lists than more diff --git a/src/algorithms/sorting/insertion-sort/README.pt-BR.md b/src/algorithms/sorting/insertion-sort/README.pt-BR.md new file mode 100644 index 0000000000..a36d2742be --- /dev/null +++ b/src/algorithms/sorting/insertion-sort/README.pt-BR.md @@ -0,0 +1,22 @@ +# Insertion Sort + +_Leia isso em outros idiomas:_ +[_English_](README.md) + +A ordenação por inserção é um algoritmo de ordenação simples que criaa matriz classificada final (ou lista) um item de cada vez. +É muito menos eficiente em grandes listas do que mais algoritmos avançados, como quicksort, heapsort ou merge +ordenar. + +![Visualização do Algoritmo](https://upload.wikimedia.org/wikipedia/commons/4/42/Insertion_sort.gif) + +![Visualização do Algoritmo](https://upload.wikimedia.org/wikipedia/commons/0/0f/Insertion-sort-example-300px.gif) + +## Complexidade + +| Nome | Melhor | Média | Pior | Memória | Estável | Comentários | +| --------------------- | :-------------: | :-----------------: | :-----------------: | :-------: | :-------: | :-------- | +| **Insertion sort** | n | n2 | n2 | 1 | Sim | | + +## Referências + +[Wikipedia](https://en.wikipedia.org/wiki/Insertion_sort) diff --git a/src/algorithms/sorting/merge-sort/README.md b/src/algorithms/sorting/merge-sort/README.md index b4d76b90a6..2931329482 100644 --- a/src/algorithms/sorting/merge-sort/README.md +++ b/src/algorithms/sorting/merge-sort/README.md @@ -1,7 +1,8 @@ # Merge Sort _Read this in other languages:_ -[_한국어_](README.ko-KR.md) +[_한국어_](README.ko-KR.md), +[_Português_](README.pt-BR.md) In computer science, merge sort (also commonly spelled mergesort) is an efficient, general-purpose, diff --git a/src/algorithms/sorting/merge-sort/README.pt-BR.md b/src/algorithms/sorting/merge-sort/README.pt-BR.md new file mode 100644 index 0000000000..f7be449f04 --- /dev/null +++ b/src/algorithms/sorting/merge-sort/README.pt-BR.md @@ -0,0 +1,38 @@ +# Merge Sort + +_Leia isso em outros idiomas:_ +[_한국어_](README.ko-KR.md), +[_English_](README.md) + +Em ciência da computação, merge sort (também comumente escrito +mergesort) é uma ferramenta eficiente, de propósito geral, +algoritmo de ordenação baseado em comparação. A maioria das implementações +produzir uma classificação estável, o que significa que a implementação +preserva a ordem de entrada de elementos iguais na ordenação +resultado. Mergesort é um algoritmo de divisão e conquista que +foi inventado por John von Neumann em 1945. + +Um exemplo de classificação de mesclagem. Primeiro divida a lista em +a menor unidade (1 elemento), então compare cada +elemento com a lista adjacente para classificar e mesclar o +duas listas adjacentes. Finalmente todos os elementos são ordenados +e mesclado. + +![Merge Sort](https://upload.wikimedia.org/wikipedia/commons/c/cc/Merge-sort-example-300px.gif) + +Um algoritmo de classificação de mesclagem recursivo usado para classificar uma matriz de 7 +valores inteiros. Estes são os passos que um ser humano daria para +emular merge sort (top-down). + +![Merge Sort](https://upload.wikimedia.org/wikipedia/commons/e/e6/Merge_sort_algorithm_diagram.svg) + +## Complexidade + +| Nome | Melhor | Média | Pior | Memória | Estável | Comentários | +| --------------------- | :-------------: | :-----------------: | :-----------------: | :-------: | :-------: | :-------- | +| **Merge sort** | n log(n) | n log(n) | n log(n) | n | Sim | | + +## Referências + +- [Wikipedia](https://en.wikipedia.org/wiki/Merge_sort) +- [YouTube](https://www.youtube.com/watch?v=KF2j-9iSf4Q&index=27&list=PLLXdhg_r2hKA7DPDsunoDZ-Z769jWn4R8) diff --git a/src/algorithms/sorting/quick-sort/README.md b/src/algorithms/sorting/quick-sort/README.md index 2daedb46cf..9dcec0f12f 100644 --- a/src/algorithms/sorting/quick-sort/README.md +++ b/src/algorithms/sorting/quick-sort/README.md @@ -1,8 +1,8 @@ # Quicksort _Read this in other languages:_ -[_Português_](README.pt-BR.md), -[_简体中文_](README.zh-CN.md) +[_简体中文_](README.zh-CN.md), +[_Português_](README.pt-BR.md) Quicksort is a divide and conquer algorithm. Quicksort first divides a large array into two smaller diff --git a/src/algorithms/sorting/quick-sort/README.pt-BR.md b/src/algorithms/sorting/quick-sort/README.pt-BR.md index a52f3725de..ca3a45699f 100644 --- a/src/algorithms/sorting/quick-sort/README.pt-BR.md +++ b/src/algorithms/sorting/quick-sort/README.pt-BR.md @@ -1,15 +1,19 @@ # Quicksort -Quicksort é um algoritmo de dividir para conquistar é um algoritmo de divisão e conquista. +_Leia isso em outros idiomas:_ +[_简体中文_](README.zh-CN.md), +[_English_](README.md) + +Quicksort é um algoritmo de dividir para conquistar. Quicksort primeiro divide uma grande matriz em duas menores submatrizes: os elementos baixos e os elementos altos. -O Quicksort pode então classificar recursivamente as submatrizes +O Quicksort pode então classificar recursivamente as submatrizes. As etapas são: 1. Escolha um elemento, denominado pivô, na matriz. 2. Particionamento: reordene a matriz para que todos os elementos com -valores menores que o pivô vêm antes do pivô, enquanto todos +valores menores que o pivô estejam antes do pivô, enquanto todos elementos com valores maiores do que o pivô vêm depois dele (valores iguais podem ser usados em qualquer direção). Após este particionamento, o pivô está em sua posição final. Isso é chamado de @@ -27,7 +31,7 @@ As linhas horizontais são valores dinâmicos. | Nome | Melhor | Média | Pior | Memória | Estável | Comentários | | --------------------- | :-------------: | :-----------------: | :-----------------: | :-------: | :-------: | :-------- | -| **Quick sort** | n log(n) | n log(n) | n2 | log(n) | No | Quicksort geralmente é feito no local com espaço de pilha O(log(n)) | +| **Quick sort** | n log(n) | n log(n) | n2 | log(n) | Não | Quicksort geralmente é feito no local com espaço de pilha O(log(n)) | ## Referências diff --git a/src/algorithms/sorting/radix-sort/README.md b/src/algorithms/sorting/radix-sort/README.md index 2da1f5504b..80129278d1 100644 --- a/src/algorithms/sorting/radix-sort/README.md +++ b/src/algorithms/sorting/radix-sort/README.md @@ -1,5 +1,8 @@ # Radix Sort +_Read this in other languages:_ +[_Português_](README.pt-BR.md), + In computer science, **radix sort** is a non-comparative integer sorting algorithm that sorts data with integer keys by grouping keys by the individual digits which share the same significant position and value. A positional notation diff --git a/src/algorithms/sorting/radix-sort/README.pt-BR.md b/src/algorithms/sorting/radix-sort/README.pt-BR.md new file mode 100644 index 0000000000..2274440984 --- /dev/null +++ b/src/algorithms/sorting/radix-sort/README.pt-BR.md @@ -0,0 +1,48 @@ +# Radix Sort + +_Leia isso em outros idiomas:_ +[_English_](README.md) + +Em ciência da computação, **radix sort** é uma classificação inteira não comparativa +algoritmo que classifica os dados com chaves inteiras agrupando as chaves pelo indivíduo +dígitos que compartilham a mesma posição e valor significativos. Uma notação posicional +é necessário, mas porque os números inteiros podem representar cadeias de caracteres +(por exemplo, nomes ou datas) e números de ponto flutuante especialmente formatados, base +sort não está limitado a inteiros. + +*De onde vem o nome?* + +Em sistemas numéricos matemáticos, a *radix* ou base é o número de dígitos únicos, +incluindo o dígito zero, usado para representar números em um sistema de numeração posicional. +Por exemplo, um sistema binário (usando números 0 e 1) tem uma raiz de 2 e um decimal +sistema (usando números de 0 a 9) tem uma raiz de 10. + +## Eficiência + +O tópico da eficiência do radix sort comparado a outros algoritmos de ordenação é +um pouco complicado e sujeito a muitos mal-entendidos. Se raiz +sort é igualmente eficiente, menos eficiente ou mais eficiente do que o melhor +algoritmos baseados em comparação depende dos detalhes das suposições feitas. +A complexidade de classificação de raiz é `O(wn)` para chaves `n` que são inteiros de tamanho de palavra `w`. +Às vezes, `w` é apresentado como uma constante, o que tornaria a classificação radix melhor +(para `n` suficientemente grande) do que os melhores algoritmos de ordenação baseados em comparação, +que todos realizam comparações `O(n log n)` para classificar chaves `n`. No entanto, em +geral `w` não pode ser considerado uma constante: se todas as chaves `n` forem distintas, +então `w` tem que ser pelo menos `log n` para que uma máquina de acesso aleatório seja capaz de +armazená-los na memória, o que dá na melhor das hipóteses uma complexidade de tempo `O(n log n)`. Este +parece tornar a ordenação radix no máximo tão eficiente quanto a melhor +ordenações baseadas em comparação (e pior se as chaves forem muito mais longas que `log n`). + +![Radix Sort](https://www.researchgate.net/publication/291086231/figure/fig1/AS:614214452404240@1523451545568/Simplistic-illustration-of-the-steps-performed-in-a-radix-sort-In-this-example-the.png) + +## Complexidade + +| Nome | Melhor | Média | Pior | Memória | Estável | Comentários | +| --------------------- | :-------------: | :-----------------: | :-----------------: | :-------: | :-------: | :-------- | +| **Radix sort** | n * k | n * k | n * k | n + k | Sim | k - comprimento da chave mais longa | + +## Referências + +- [Wikipedia](https://en.wikipedia.org/wiki/Radix_sort) +- [YouTube](https://www.youtube.com/watch?v=XiuSW_mEn7g&index=62&t=0s&list=PLLXdhg_r2hKA7DPDsunoDZ-Z769jWn4R8) +- [ResearchGate](https://www.researchgate.net/figure/Simplistic-illustration-of-the-steps-performed-in-a-radix-sort-In-this-example-the_fig1_291086231) diff --git a/src/algorithms/sorting/selection-sort/README.md b/src/algorithms/sorting/selection-sort/README.md index b584777a59..005c616131 100644 --- a/src/algorithms/sorting/selection-sort/README.md +++ b/src/algorithms/sorting/selection-sort/README.md @@ -1,7 +1,7 @@ # Selection Sort _Read this in other languages:_ -[Português brasileiro](README.pt-BR.md). +[_Português_](README.pt-BR.md). Selection sort is a sorting algorithm, specifically an in-place comparison sort. It has O(n2) time complexity, diff --git a/src/algorithms/sorting/selection-sort/README.pt-BR.md b/src/algorithms/sorting/selection-sort/README.pt-BR.md index c9c1afd6a1..0c45b73f61 100644 --- a/src/algorithms/sorting/selection-sort/README.pt-BR.md +++ b/src/algorithms/sorting/selection-sort/README.pt-BR.md @@ -1,7 +1,7 @@ # Selection Sort -_Leia isso em outras línguas:_ -[english](README.md). +_Leia isso em outros idiomas:_ +[_English_](README.md). Selection Sort é um algoritmo de ordenação, mais especificamente um algoritmo de ordenação por comparação in-place (requer uma quantidade constante de espaço de memória adicional). Tem complexidade O(n²), tornando-o ineficiente em listas grandes e, geralmente, tem desempenho inferior ao similar Insertion Sort. O Selection Sort é conhecido por sua simplicidade e tem vantagens de desempenho sobre algoritmos mais complexos em certas situações, particularmente quando a memória auxiliar é limitada. diff --git a/src/algorithms/sorting/shell-sort/README.md b/src/algorithms/sorting/shell-sort/README.md index 386fc9f066..f93338e2eb 100644 --- a/src/algorithms/sorting/shell-sort/README.md +++ b/src/algorithms/sorting/shell-sort/README.md @@ -1,5 +1,8 @@ # Shellsort +_Read this in other languages:_ +[_Português_](README.pt-BR.md). + Shellsort, also known as Shell sort or Shell's method, is an in-place comparison sort. It can be seen as either a generalization of sorting by exchange (bubble sort) or sorting diff --git a/src/algorithms/sorting/shell-sort/README.pt-BR.md b/src/algorithms/sorting/shell-sort/README.pt-BR.md new file mode 100644 index 0000000000..14de1a517e --- /dev/null +++ b/src/algorithms/sorting/shell-sort/README.pt-BR.md @@ -0,0 +1,60 @@ +# Shellsort + +_Leia isso em outros idiomas:_ +[_English_](README.md). + +Shellsort, também conhecido como Shell sort ou método de Shell, +é uma classificação de comparação in-loco. Pode ser visto tanto como um +generalização da ordenação por troca (bubble sort) ou ordenação +por inserção (ordenação por inserção). O método começa classificando +pares de elementos distantes um do outro, então progressivamente +reduzindo a distância entre os elementos a serem comparados. Iniciando +com elementos distantes, pode mover alguns fora do lugar +elementos em posição mais rápido do que um simples vizinho mais próximo +intercâmbio + +![Shellsort](https://upload.wikimedia.org/wikipedia/commons/d/d8/Sorting_shellsort_anim.gif) + +## Como o Shellsort funciona? + +Para nosso exemplo e facilidade de compreensão, tomamos o intervalo +de `4`. Faça uma sub-lista virtual de todos os valores localizados no +intervalo de 4 posições. Aqui esses valores são +`{35, 14}`, `{33, 19}`, `{42, 27}` e `{10, 44}` + +![Shellsort](https://www.tutorialspoint.com/data_structures_algorithms/images/shell_sort_gap_4.jpg) + +Comparamos valores em cada sublista e os trocamos (se necessário) +na matriz original. Após esta etapa, o novo array deve +parece com isso + +![Shellsort](https://www.tutorialspoint.com/data_structures_algorithms/images/shell_sort_step_1.jpg) + +Então, pegamos o intervalo de 2 e essa lacuna gera duas sub-listas +- `{14, 27, 35, 42}`, `{19, 10, 33, 44}` + +![Shellsort](https://www.tutorialspoint.com/data_structures_algorithms/images/shell_sort_gap_2.jpg) + +Comparamos e trocamos os valores, se necessário, no array original. +Após esta etapa, a matriz deve ficar assim + +![Shellsort](https://www.tutorialspoint.com/data_structures_algorithms/images/shell_sort_step_2.jpg) + +> OBS: Na imagem abaixo há um erro de digitação e a matriz de resultados deve ser `[14, 10, 27, 19, 35, 33, 42, 44]`. + +Finalmente, ordenamos o resto do array usando o intervalo de valor 1. +A classificação de shell usa a classificação por inserção para classificar a matriz. + +![Shellsort](https://www.tutorialspoint.com/data_structures_algorithms/images/shell_sort.jpg) + +## Complexidade + +| Nome | Melhor | Média | Pior | Memória | Estável | Comentários | +| --------------------- | :-------------: | :-----------------: | :-----------------: | :-------: | :-------: | :-------- | +| **Shell sort** | n log(n) | depends on gap sequence | n (log(n))2 | 1 | Não | | + +## Referências + +- [Tutorials Point](https://www.tutorialspoint.com/data_structures_algorithms/shell_sort_algorithm.htm) +- [Wikipedia](https://en.wikipedia.org/wiki/Shellsort) +- [YouTube by Rob Edwards](https://www.youtube.com/watch?v=ddeLSDsYVp8&index=79&list=PLLXdhg_r2hKA7DPDsunoDZ-Z769jWn4R8) diff --git a/src/data-structures/bloom-filter/README.pt-BR.md b/src/data-structures/bloom-filter/README.pt-BR.md index 77c4232262..0c8522b958 100644 --- a/src/data-structures/bloom-filter/README.pt-BR.md +++ b/src/data-structures/bloom-filter/README.pt-BR.md @@ -3,7 +3,7 @@ O **bloom filter** é uma estrutura de dados probabilística espaço-eficiente designada para testar se um elemento está ou não presente em um conjunto de dados. Foi projetado para ser -incrivelmente rápido e utilizar o mínimo de memória ao +incrivelmente rápida e utilizar o mínimo de memória ao potencial custo de um falso-positivo. Correspondências _falsas positivas_ são possíveis, contudo _falsos negativos_ não são - em outras palavras, a consulta retorna @@ -12,7 +12,7 @@ não são - em outras palavras, a consulta retorna Bloom propôs a técnica para aplicações onde a quantidade de entrada de dados exigiria uma alocação de memória impraticavelmente grande se as "convencionais" técnicas -error-free hashing fossem aplicado. +error-free hashing fossem aplicadas. ## Descrição do algoritmo diff --git a/src/data-structures/disjoint-set/README.pt-BR.md b/src/data-structures/disjoint-set/README.pt-BR.md index 130b8aea6c..a7d827a8a2 100644 --- a/src/data-structures/disjoint-set/README.pt-BR.md +++ b/src/data-structures/disjoint-set/README.pt-BR.md @@ -1,8 +1,8 @@ -# Conjunto Disjuntor (Disjoint Set) +# Conjunto Disjunto (Disjoint Set) -**Conjunto Disjuntor** +**Conjunto Disjunto** -**Conjunto Disjuntor** é uma estrutura de dados (também chamado de +**Conjunto Disjunto** é uma estrutura de dados (também chamado de estrutura de dados de union–find ou merge–find) é uma estrutura de dados que rastreia um conjunto de elementos particionados em um número de subconjuntos separados (sem sobreposição). @@ -10,9 +10,9 @@ Ele fornece operações de tempo quase constante (limitadas pela função inversa de Ackermann) para *adicionar novos conjuntos*, para *mesclar/fundir conjuntos existentes* e para *determinar se os elementos estão no mesmo conjunto*. -Além de muitos outros usos (veja a seção Applications), conjunto disjuntor +Além de muitos outros usos (veja a seção Applications), conjuntos disjuntos desempenham um papel fundamental no algoritmo de Kruskal para encontrar a -árvore geradora mínima de um gráfico (graph). +árvore geradora mínima de um grafo (graph). ![disjoint set](https://upload.wikimedia.org/wikipedia/commons/6/67/Dsu_disjoint_sets_init.svg) diff --git a/src/data-structures/doubly-linked-list/README.pt-BR.md b/src/data-structures/doubly-linked-list/README.pt-BR.md index 9ba3954d0b..c4294decf4 100644 --- a/src/data-structures/doubly-linked-list/README.pt-BR.md +++ b/src/data-structures/doubly-linked-list/README.pt-BR.md @@ -4,7 +4,7 @@ Na ciência da computação, uma **lista duplamente conectada** é uma estrutura de dados vinculada que se consistem em um conjunto de registros sequencialmente vinculados chamados de nós (nodes). Em cada nó contém dois campos, chamados de ligações, que são referenciados ao nó anterior e posterior -de uma sequência de nós. O começo e o fim dos nós anteriormente e posteiormente +de uma sequência de nós. O começo e o fim dos nós anteriormente e posteriormente ligados, respectiviamente, apontam para algum tipo de terminação, normalmente um nó sentinela ou nulo, para facilitar a travessia da lista. Se existe somente um nó sentinela, então a lista é ligada circularmente através do nó @@ -20,7 +20,7 @@ Enquanto adicionar ou remover um nó de uma lista duplamente vinculada requer alterar mais ligações (conexões) do que em uma lista encadeada individualmente (singly linked list), as operações são mais simples e potencialmente mais eficientes (para nós que não sejam nós iniciais) porque não há necessidade -de se manter rastreamento do nó anterior durante a travessia ou não há +de manter um rastreamento do nó anterior durante a travessia ou não há necessidade de percorrer a lista para encontrar o nó anterior, para que então sua ligação/conexão possa ser modificada. @@ -44,7 +44,7 @@ Add(value) end Add ``` -### Deletar +### Remoção ```text Remove(head, value) diff --git a/src/data-structures/hash-table/README.pt-BR.md b/src/data-structures/hash-table/README.pt-BR.md index 9abbb48890..c89faf6ca1 100644 --- a/src/data-structures/hash-table/README.pt-BR.md +++ b/src/data-structures/hash-table/README.pt-BR.md @@ -1,6 +1,6 @@ # Tabela de Hash (Hash Table) -Na ciência da computação, uma **tabela de hash** (hash map) é uma +Na ciência da computação, uma **tabela de hash** (hash table) é uma estrutura de dados pela qual implementa um tipo de dado abstrado de *array associativo*, uma estrutura que pode *mapear chaves para valores*. Uma tabela de hash utiliza uma *função de hash* para calcular um índice @@ -10,7 +10,7 @@ pode ser encontrado. Idealmente, a função de hash irá atribuir a cada chave a um bucket único, mas a maioria dos designs de tabela de hash emprega uma função de hash imperfeita, pela qual poderá causar colisões de hashes onde a função de hash -gera o mesmo índice para mais de uma chave.Tais colisões devem ser +gera o mesmo índice para mais de uma chave. Tais colisões devem ser acomodados de alguma forma. ![Hash Table](./images/hash-table.jpeg) diff --git a/src/data-structures/priority-queue/README.pt-BR.md b/src/data-structures/priority-queue/README.pt-BR.md index 9e836bde7e..e6d84e263a 100644 --- a/src/data-structures/priority-queue/README.pt-BR.md +++ b/src/data-structures/priority-queue/README.pt-BR.md @@ -1,7 +1,7 @@ # Fila de Prioridade (Priority Queue) -Na ciência da computação, uma **fila de prioridade** é um tipo de dados -abastrato que é como uma fila regular (regular queue) ou estrutura de +Na ciência da computação, uma **fila de prioridade** é um tipo de estrutura de +dados abastrata que é como uma fila regular (regular queue) ou estrutura de dados de pilha (stack), mas adicionalmente cada elemento possui uma "prioridade" associada. @@ -10,11 +10,11 @@ antes de um elemento com baixa prioridade. Caso dois elementos posusam a mesma prioridade, eles serão servidos de acordo com sua ordem na fila. Enquanto as filas de prioridade são frequentemente implementadas com -pilhas (heaps), elas são conceitualmente distintas das pilhas (heaps). +pilhas (stacks), elas são conceitualmente distintas das pilhas (stacks). A fila de prioridade é um conceito abstrato como uma "lista" (list) ou um "mapa" (map); assim como uma lista pode ser implementada com uma lista encadeada (liked list) ou um array, a fila de prioridade pode ser -implementada com uma pilha (heap) ou com uima variedade de outros métodos, +implementada com uma pilha (stack) ou com uma variedade de outros métodos, como um array não ordenado (unordered array). ## Referências diff --git a/src/data-structures/stack/README.pt-BR.md b/src/data-structures/stack/README.pt-BR.md index d1269d2437..ee862fe43a 100644 --- a/src/data-structures/stack/README.pt-BR.md +++ b/src/data-structures/stack/README.pt-BR.md @@ -1,14 +1,14 @@ -# Stack +# Pilha (Stack) -Na ciência da computação, um **stack** é uma estrutura de dados abstrata +Na ciência da computação, uma **pilha** é uma estrutura de dados abstrata que serve como uma coleção de elementos com duas operações principais: * **push**, pela qual adiciona um elemento à coleção, e * **pop**, pela qual remove o último elemento adicionado. A ordem em que os elementos saem de um _stack_ dá origem ao seu -nome alternativo, LIFO (last in, first out). Adicionalmente, uma -espiar a operação pode dar acesso ao topo sem modificar o _stack_. +nome alternativo, LIFO (last in, first out). Adicionalmente, uma operação +de espiada (peek) pode dar acesso ao topo sem modificar o _stack_. O nome "stack" para este tipo de estrutura vem da analogia de um conjunto de itens físicos empilhados uns sobre os outros, o que facilita retirar um item do topo da pilha, enquanto para chegar a diff --git a/src/data-structures/tree/README.pt-BR.md b/src/data-structures/tree/README.pt-BR.md index 173e096c48..7aade88caa 100644 --- a/src/data-structures/tree/README.pt-BR.md +++ b/src/data-structures/tree/README.pt-BR.md @@ -8,7 +8,7 @@ Na ciência da computação, uma **árvore** é uma estrutura de dados abstrada (ADT) amplamente utilizada - ou uma estrutura de dados -implementando este ADT que simula uma estrutura hierarquica de árvore, +implementando este ADT que simula uma estrutura hierárquica de árvore, com valor raíz e sub-árvores de filhos com um nó pai, representado como um conjunto de nós conectados. diff --git a/src/data-structures/trie/README.pt-BR.md b/src/data-structures/trie/README.pt-BR.md index b0d49de1e1..50a294b77c 100644 --- a/src/data-structures/trie/README.pt-BR.md +++ b/src/data-structures/trie/README.pt-BR.md @@ -1,9 +1,9 @@ -# Trie +# Árvore de Prefixos (Trie) Na ciência da computação, uma **trie**, também chamada de árvore digital (digital tree) e algumas vezes de _radix tree_ ou _prefix tree_ (tendo em vista que eles -podem ser pesquisados por prefixos), é um tipo de árvore de pesquisa, uma -uma estrutura de dados de árvore ordenada que é usado para armazenar um +podem ser pesquisados por prefixos), é um tipo de árvore de pesquisa, uma +estrutura de dados de árvore ordenada que é usado para armazenar um conjunto dinâmico ou matriz associativa onde as chaves são geralmente _strings_. Ao contrário de uma árvore de pesquisa binária (binary search tree), nenhum nó na árvore armazena a chave associada a esse nó; em vez disso, From c4164bf2240b1458252c3860f584bf01be4a85f8 Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Fri, 21 Oct 2022 22:21:11 +0200 Subject: [PATCH 19/73] Update README.md --- README.md | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/README.md b/README.md index d2d0bc75a4..aa0c184424 100644 --- a/README.md +++ b/README.md @@ -363,3 +363,7 @@ Below is the list of some of the most used Big O notations and their performance [Folks who are backing this project](https://github.com/trekhleb/javascript-algorithms/blob/master/BACKERS.md) `∑ = 0` > ℹ️ A few more [projects](https://trekhleb.dev/projects/) and [articles](https://trekhleb.dev/blog/) about JavaScript and algorithms on [trekhleb.dev](https://trekhleb.dev) + +## Author + +- [@trekhleb](https://trekhleb.dev) From 5de9ca28e90cf860dbcb114441f72b5a4342ebb9 Mon Sep 17 00:00:00 2001 From: "David (Dato) Kadaria" <94402615+davidkadaria@users.noreply.github.com> Date: Thu, 10 Nov 2022 18:00:21 +0400 Subject: [PATCH 20/73] Added Georgian translation && Added link to the translation from other files (#951) --- src/algorithms/math/fibonacci/README.fr-FR.md | 3 ++- src/algorithms/math/fibonacci/README.ka-GE.md | 20 +++++++++++++++++++ src/algorithms/math/fibonacci/README.md | 3 ++- src/algorithms/math/fibonacci/README.zh-CN.md | 3 ++- 4 files changed, 26 insertions(+), 3 deletions(-) create mode 100644 src/algorithms/math/fibonacci/README.ka-GE.md diff --git a/src/algorithms/math/fibonacci/README.fr-FR.md b/src/algorithms/math/fibonacci/README.fr-FR.md index 1321ca24d7..81e3549b0d 100644 --- a/src/algorithms/math/fibonacci/README.fr-FR.md +++ b/src/algorithms/math/fibonacci/README.fr-FR.md @@ -1,7 +1,8 @@ # Nombre de Fibonacci _Read this in other languages:_ -[english](README.md). +[english](README.md), +[ქართული](README.ka-GE.md). En mathématiques, la suite de Fibonacci est une suite d'entiers dans laquelle chaque terme (après les deux premiers) diff --git a/src/algorithms/math/fibonacci/README.ka-GE.md b/src/algorithms/math/fibonacci/README.ka-GE.md new file mode 100644 index 0000000000..ae7e11218b --- /dev/null +++ b/src/algorithms/math/fibonacci/README.ka-GE.md @@ -0,0 +1,20 @@ +# ფიბონაჩის რიცხვი + +მათემატიკაში ფიბონაჩის მიმდევრობა წარმოადგენს მთელ რიცხვთა მიმდევრობას, +რომელშიც ყოველი რიცხვი (პირველი ორი რიცხვის შემდეგ) +მისი წინამორბედი ორი რიცხვის +ჯამის ტოლია: + +`0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ...` + +კვადრატების წყობა, სადაც ყოველი კვადრატის გვერდების სიგრძე, თანმიმდევრობით, ფიბონაჩის რიცხვებს შეესაბამება + +![Fibonacci](https://upload.wikimedia.org/wikipedia/commons/d/db/34%2A21-FibonacciBlocks.png) + +ფიბონაჩის სპირალი: ოქროს სპირალის აპროქსიმაცია, რომელიც შექმნილია კვადრატების მოპირდაპირე კუთხეებს შორის შემაერთებელი რკალების გავლებით;[4] ამ შემთხვევაში, გამოყენებულ კვადრატთა [გვერდების] ზომებია: 1, 1, 2, 3, 5, 8, 13 და 21. + +![Fibonacci Spiral](https://upload.wikimedia.org/wikipedia/commons/2/2e/FibonacciSpiral.svg) + +## სქოლიო + +- [Wikipedia](https://en.wikipedia.org/wiki/Fibonacci_number) diff --git a/src/algorithms/math/fibonacci/README.md b/src/algorithms/math/fibonacci/README.md index 9a36887f71..3d476c5020 100644 --- a/src/algorithms/math/fibonacci/README.md +++ b/src/algorithms/math/fibonacci/README.md @@ -2,7 +2,8 @@ _Read this in other languages:_ [français](README.fr-FR.md), -[简体中文](README.zh-CN.md). +[简体中文](README.zh-CN.md), +[ქართული](README.ka-GE.md). In mathematics, the Fibonacci numbers are the numbers in the following integer sequence, called the Fibonacci sequence, and characterized by diff --git a/src/algorithms/math/fibonacci/README.zh-CN.md b/src/algorithms/math/fibonacci/README.zh-CN.md index 70f74b533c..20378000d4 100644 --- a/src/algorithms/math/fibonacci/README.zh-CN.md +++ b/src/algorithms/math/fibonacci/README.zh-CN.md @@ -2,7 +2,8 @@ _Read this in other languages:_ [français](README.fr-FR.md), -[english](README.md). +[english](README.md), +[ქართული](README.ka-GE.md). 在数学中,斐波那契数是以下整数序列(称为斐波那契数列)中的数字,其特征在于前两个数字之后的每个数字都是前两个数字的和: From e62572648c42b23b4e3a7ae68ce9529098eeca32 Mon Sep 17 00:00:00 2001 From: "Oleksandr (Sasha) Khivrych" Date: Thu, 10 Nov 2022 14:02:29 +0000 Subject: [PATCH 21/73] feat: added ukr translations for bloom filter, Disjoint Set, Doubly Linked List (#957) Co-authored-by: Oleksii Trekhleb --- src/data-structures/bloom-filter/README.md | 37 +++--- .../bloom-filter/README.uk-UA.md | 54 +++++++++ src/data-structures/disjoint-set/README.md | 16 +-- .../disjoint-set/README.uk-UA.md | 22 ++++ .../doubly-linked-list/README.md | 9 +- .../doubly-linked-list/README.uk-UA.md | 109 ++++++++++++++++++ 6 files changed, 217 insertions(+), 30 deletions(-) create mode 100644 src/data-structures/bloom-filter/README.uk-UA.md create mode 100644 src/data-structures/disjoint-set/README.uk-UA.md create mode 100644 src/data-structures/doubly-linked-list/README.uk-UA.md diff --git a/src/data-structures/bloom-filter/README.md b/src/data-structures/bloom-filter/README.md index 17c666775e..e156310cb4 100644 --- a/src/data-structures/bloom-filter/README.md +++ b/src/data-structures/bloom-filter/README.md @@ -2,38 +2,39 @@ _Read this in other languages:_ [_Русский_](README.ru-RU.md), -[_Português_](README.pt-BR.md) +[_Português_](README.pt-BR.md), +[_Українська_](README.uk-UA.md) -A **bloom filter** is a space-efficient probabilistic -data structure designed to test whether an element -is present in a set. It is designed to be blazingly +A **bloom filter** is a space-efficient probabilistic +data structure designed to test whether an element +is present in a set. It is designed to be blazingly fast and use minimal memory at the cost of potential false positives. False positive matches are possible, but false negatives are not – in other words, a query returns either "possibly in set" or "definitely not in set". -Bloom proposed the technique for applications where the +Bloom proposed the technique for applications where the amount of source data would require an impractically large -amount of memory if "conventional" error-free hashing +amount of memory if "conventional" error-free hashing techniques were applied. ## Algorithm description -An empty Bloom filter is a bit array of `m` bits, all +An empty Bloom filter is a bit array of `m` bits, all set to `0`. There must also be `k` different hash functions -defined, each of which maps or hashes some set element to -one of the `m` array positions, generating a uniform random -distribution. Typically, `k` is a constant, much smaller -than `m`, which is proportional to the number of elements -to be added; the precise choice of `k` and the constant of -proportionality of `m` are determined by the intended +defined, each of which maps or hashes some set element to +one of the `m` array positions, generating a uniform random +distribution. Typically, `k` is a constant, much smaller +than `m`, which is proportional to the number of elements +to be added; the precise choice of `k` and the constant of +proportionality of `m` are determined by the intended false positive rate of the filter. -Here is an example of a Bloom filter, representing the -set `{x, y, z}`. The colored arrows show the positions -in the bit array that each set element is mapped to. The -element `w` is not in the set `{x, y, z}`, because it -hashes to one bit-array position containing `0`. For +Here is an example of a Bloom filter, representing the +set `{x, y, z}`. The colored arrows show the positions +in the bit array that each set element is mapped to. The +element `w` is not in the set `{x, y, z}`, because it +hashes to one bit-array position containing `0`. For this figure, `m = 18` and `k = 3`. ![Bloom Filter](https://upload.wikimedia.org/wikipedia/commons/a/ac/Bloom_filter.svg) diff --git a/src/data-structures/bloom-filter/README.uk-UA.md b/src/data-structures/bloom-filter/README.uk-UA.md new file mode 100644 index 0000000000..aa9075a094 --- /dev/null +++ b/src/data-structures/bloom-filter/README.uk-UA.md @@ -0,0 +1,54 @@ +# Фільтр Блума + +**Фільтр Блума** - це просторово-ефективна ймовірна структура даних, створена для перевірки наявності елемента +у множині. Він спроектований неймовірно швидким за мінімального використання пам'яті ціною потенційних помилкових спрацьовувань. +Існує можливість отримати хибнопозитивне спрацьовування (елемента в безлічі немає, але структура даних повідомляє, +що він є), але не хибнонегативне. Іншими словами, черга повертає або "можливо в наборі", або "певно не +у наборі". Фільтр Блума може використовувати будь-який обсяг пам'яті, проте чим він більший, тим менша вірогідність помилкового +спрацьовування. + +Блум запропонував цю техніку для застосування в областях, де кількість вихідних даних потребувала б непрактично багато +пам'яті, у разі застосування умовно безпомилкових технік хешування. + +## Опис алгоритму + +Порожній фільтр Блума представлений бітовим масивом з `m` бітів, всі біти якого обнулені. Має бути визначено `k` +незалежних хеш-функцій, що відображають кожен елемент множини в одну з `m` позицій у масиві, генеруючи однакове +випадковий розподіл. Зазвичай `k` задана константою, яка набагато менше `m` і пропорційна +кількості елементів, що додаються; точний вибір `k` та постійної пропорційності `m` визначаються рівнем хибних +спрацьовувань фільтра. + +Ось приклад Блум фільтра, що представляє набір `{x, y, z}`. Кольорові стрілки показують позиції в бітовому масиві, +яким прив'язаний кожен елемент набору. Елемент `w` не в наборі `{x, y, z}`, тому що він прив'язаний до позиції в бітовому +масиві, що дорівнює `0`. Для цієї форми, `m = 18`, а `k = 3`. + +Фільтр Блума є бітовий масив з `m` біт. Спочатку, коли структура даних зберігає порожню множину, всі +m біт обнулені. Користувач повинен визначити `k` незалежних хеш-функцій `h1`, …, `hk`, +що відображають кожен елемент в одну з m позицій бітового масиву досить рівномірним чином. + +Для додавання елемента e необхідно записати одиниці на кожну з позицій `h1(e)`, …, `hk(e)` +бітового масиву. + +Для перевірки приналежності елемента `e` до безлічі елементів, що зберігаються, необхідно перевірити стан бітів +`h1(e)`, …, `hk(e)`. Якщо хоча б один з них дорівнює нулю, елемент не може належати множині +(інакше при його додаванні всі ці біти були встановлені). Якщо вони рівні одиниці, то структура даних повідомляє, +що `е` належить безлічі. При цьому може виникнути дві ситуації: або елемент дійсно належить множині, +або всі ці біти виявилися встановлені випадково при додаванні інших елементів, що і є джерелом помилкових +спрацьовувань у цій структурі даних. + +![Фільтр Блума](https://upload.wikimedia.org/wikipedia/commons/a/ac/Bloom_filter.svg) + +## Застосування + +Фільтр Блума може бути використаний для блогів. Якщо мета полягає в тому, щоб показати читачам лише ті статті, +які вони ще не бачили, фільтр блуму ідеальний. Він може містити значення, що хешуються, відповідні статті. Після +того, як користувач прочитав кілька статей, вони можуть бути поміщені у фільтр. Наступного разу, коли користувач +відвідає сайт, ці статті можуть бути вилучені з результатів за допомогою фільтра. + +Деякі статті неминуче будуть відфільтровані помилково, але ціна прийнятна. Те, що користувач не побачить дещо +статей цілком прийнятно, беручи до уваги той факт, що йому завжди показуються інші нові статті при кожному +новому відвідуванні. + +## Посилання + +- [Wikipedia](https://uk.wikipedia.org/wiki/%D0%A4%D1%96%D0%BB%D1%8C%D1%82%D1%80_%D0%91%D0%BB%D1%83%D0%BC%D0%B0) diff --git a/src/data-structures/disjoint-set/README.md b/src/data-structures/disjoint-set/README.md index 535960c7bb..44bcfa2769 100644 --- a/src/data-structures/disjoint-set/README.md +++ b/src/data-structures/disjoint-set/README.md @@ -2,22 +2,22 @@ _Read this in other languages:_ [_Русский_](README.ru-RU.md), -[_Português_](README.pt-BR.md) +[_Português_](README.pt-BR.md), +[_Українська_](README.uk-UA.md) - -**Disjoint-set** data structure (also called a union–find data structure or merge–find set) is a data -structure that tracks a set of elements partitioned into a number of disjoint (non-overlapping) subsets. -It provides near-constant-time operations (bounded by the inverse Ackermann function) to *add new sets*, -to *merge existing sets*, and to *determine whether elements are in the same set*. +**Disjoint-set** data structure (also called a union–find data structure or merge–find set) is a data +structure that tracks a set of elements partitioned into a number of disjoint (non-overlapping) subsets. +It provides near-constant-time operations (bounded by the inverse Ackermann function) to _add new sets_, +to _merge existing sets_, and to _determine whether elements are in the same set_. In addition to many other uses (see the Applications section), disjoint-sets play a key role in Kruskal's algorithm for finding the minimum spanning tree of a graph. ![disjoint set](https://upload.wikimedia.org/wikipedia/commons/6/67/Dsu_disjoint_sets_init.svg) -*MakeSet* creates 8 singletons. +_MakeSet_ creates 8 singletons. ![disjoint set](https://upload.wikimedia.org/wikipedia/commons/a/ac/Dsu_disjoint_sets_final.svg) -After some operations of *Union*, some sets are grouped together. +After some operations of _Union_, some sets are grouped together. ## References diff --git a/src/data-structures/disjoint-set/README.uk-UA.md b/src/data-structures/disjoint-set/README.uk-UA.md new file mode 100644 index 0000000000..f8c3be4df1 --- /dev/null +++ b/src/data-structures/disjoint-set/README.uk-UA.md @@ -0,0 +1,22 @@ +# Система неперетинних множин + +**Система неперетинних множин** це структура даних (також звана структурою даної пошуку перетину або +безліччю пошуку злиття), яка управляє безліччю елементів, розбитих на кілька підмножин, що не перетинаються. +Вона надає близько-константний час виконання операцій (обмежений зворотною функцією Акерманна) за додаванням +нових множин, *злиття існуючих множин і *випередження, чи відносяться елементи до одного і того ж безлічі. + +Застосовується для зберігання компонентів зв'язності в графах, зокрема, алгоритму Фарбала необхідна подібна структура +даних для ефективної реалізації. + +Основні операції: + +- _MakeSet(x)_ - створює одноелементне безліч {x}, +- _Find(x)_ - повертає ідентифікатор множини, що містить елемент x, +- _Union(x,y)_ - об'єднання множин, що містять x та y. + +Після деяких операцій _об'єднання_, деякі множини зібрані разом + +## Посилання + +- [СНМ на Wikipedia](https://uk.wikipedia.org/wiki/%D0%A1%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D0%B0_%D0%BD%D0%B5%D0%BF%D0%B5%D1%80%D0%B5%D1%82%D0%B8%D0%BD%D0%BD%D0%B8%D1%85_%D0%BC%D0%BD%D0%BE%D0%B6%D0%B8%D0%BD) +- [СНМ на YouTube](https://www.youtube.com/watch?v=5XwRPwLnK6I) diff --git a/src/data-structures/doubly-linked-list/README.md b/src/data-structures/doubly-linked-list/README.md index 81c0797f73..1610d1e497 100644 --- a/src/data-structures/doubly-linked-list/README.md +++ b/src/data-structures/doubly-linked-list/README.md @@ -7,6 +7,7 @@ _Read this in other languages:_ [_Português_](README.pt-BR.md), [_한국어_](README.ko-KR.md), [_Español_](README.es-ES.md), +[_Українська_](README.uk-UA.md) In computer science, a **doubly linked list** is a linked data structure that consists of a set of sequentially linked records called nodes. Each node contains @@ -20,7 +21,7 @@ but in opposite sequential orders. ![Doubly Linked List](./images/doubly-linked-list.jpeg) -*Made with [okso.app](https://okso.app)* +_Made with [okso.app](https://okso.app)_ The two node links allow traversal of the list in either direction. While adding or removing a node in a doubly linked list requires changing more links than the @@ -104,9 +105,9 @@ end Reverse Traversal ## Time Complexity -| Access | Search | Insertion | Deletion | -| :-------: | :-------: | :-------: | :-------: | -| O(n) | O(n) | O(1) | O(n) | +| Access | Search | Insertion | Deletion | +| :----: | :----: | :-------: | :------: | +| O(n) | O(n) | O(1) | O(n) | ### Space Complexity diff --git a/src/data-structures/doubly-linked-list/README.uk-UA.md b/src/data-structures/doubly-linked-list/README.uk-UA.md new file mode 100644 index 0000000000..a52a8015e0 --- /dev/null +++ b/src/data-structures/doubly-linked-list/README.uk-UA.md @@ -0,0 +1,109 @@ +# Двобічно зв'язаний список + +**Двобічно зв'язаний список** — зв'язкова структура даних в інформатиці, що складається з набору +послідовно пов'язаних записів, званих вузлами. Кожен вузол містить два поля, +званих посиланнями, які вказують на попередній і наступний елементи +послідовність вузлів. Посилання на попередній елемент кореневого вузла та посилання на +Наступний елемент останнього вузла вказують на деякого роду переривник, зазвичай +сторожовий вузол або null для полегшення обходу списку. Якщо у списку лише один +сторожовий вузол, тоді перелік циклічно пов'язаний через нього. +Двобічно зв'язаний список можна уявити, як два зв'язкові списки, які утворені з +одних і тих самих даних, але розташованих у протилежному порядку. + +![Двобічно зв'язаний список](./images/doubly-linked-list.jpeg) + +_Made with [okso.app](https://okso.app)_ + +Два посилання дозволяють обходити список в обох напрямках. Додавання та +видалення вузла у двозв'язному списку вимагає зміни більшої кількості посилань, +ніж аналогічні операції у зв'язковому списку. Однак дані операції простіше та потенційно +більш ефективні (для некореневих вузлів) – при обході не потрібно стежити за попереднім +вузлом або повторно обходити список у пошуку попереднього вузла, плюс його посилання +може бути змінено. + +## 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 + n.previous ← tail + tail.next ← n + tail ← n + end if +end Add +``` + +### Видалення + +```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 + if value = head.value + if head = tail + head ← ø + tail ← ø + else + head ← head.next + head.previous ← ø + end if + return true + end if + n ← head.next + while n = ø and value = n.value + n ← n.next + end while + if n = tail + tail ← tail.previous + tail.next ← ø + return true + else if n = ø + n.previous.next ← n.next + n.next.previous ← n.previous + return true + end if + return false +end Remove +``` + +### Зворотний обхід + +```text +ReverseTraversal(tail) + Pre: tail - кінцевий елемент обхідного списку + Post: елементи списку пройдено у зворотному порядку + n ← tail + while n = ø + yield n.value + n ← n.previous + end while +end Reverse Traversal +``` + +## Складність + +## Часова складність + +| Читання | Пошук | Вставка | Видалення | +| :-----: | :---: | :-----: | :-------: | +| O(n) | O(n) | O(1) | O(n) | + +### Просторова складність + +O(n) + +## Посилання + +- [Wikipedia](https://uk.wikipedia.org/wiki/%D0%94%D0%B2%D0%BE%D0%B1%D1%96%D1%87%D0%BD%D0%BE_%D0%B7%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#:~:text=%D0%94%D0%B2%D0%BE%D0%B1%D1%96%D1%87%D0%BD%D0%BE%20%D0%B7%D0%B2'%D1%8F%D0%B7%D0%B0%D0%BD%D0%B8%D0%B9%20%D1%81%D0%BF%D0%B8%D1%81%D0%BE%D0%BA%20%E2%80%94%20%D0%B2%D0%B8%D0%B4,%D0%BD%D0%B0%20%D0%BF%D0%BE%D0%B4%D0%B0%D0%BB%D1%8C%D1%88%D0%B8%D0%B9%20%D0%B2%D1%83%D0%B7%D0%BE%D0%BB%20%D1%83%20%D1%81%D0%BF%D0%B8%D1%81%D0%BA%D1%83.) From 8e4225ac713fe2b0747b66ab1cd4206ea72b7791 Mon Sep 17 00:00:00 2001 From: Berkay <102474166+doandroidsdreamof@users.noreply.github.com> Date: Thu, 10 Nov 2022 17:04:50 +0300 Subject: [PATCH 22/73] Update README.md (#953) Co-authored-by: Oleksii Trekhleb --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index aa0c184424..c9c6258769 100644 --- a/README.md +++ b/README.md @@ -27,7 +27,7 @@ _Read this in other languages:_ [_Español_](README.es-ES.md), [_Português_](README.pt-BR.md), [_Русский_](README.ru-RU.md), -[_Türk_](README.tr-TR.md), +[_Türkçe_](README.tr-TR.md), [_Italiana_](README.it-IT.md), [_Bahasa Indonesia_](README.id-ID.md), [_Українська_](README.uk-UA.md), From 565256088a1b99d3d7901b5d8db992fe9acabd2d Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Thu, 10 Nov 2022 15:06:33 +0100 Subject: [PATCH 23/73] README updates. --- src/data-structures/disjoint-set/README.uk-UA.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/data-structures/disjoint-set/README.uk-UA.md b/src/data-structures/disjoint-set/README.uk-UA.md index f8c3be4df1..c721b66420 100644 --- a/src/data-structures/disjoint-set/README.uk-UA.md +++ b/src/data-structures/disjoint-set/README.uk-UA.md @@ -14,7 +14,7 @@ - _Find(x)_ - повертає ідентифікатор множини, що містить елемент x, - _Union(x,y)_ - об'єднання множин, що містять x та y. -Після деяких операцій _об'єднання_, деякі множини зібрані разом +Після деяких операцій _об'єднання_, деякі множини зібрані разом. ## Посилання From 025b9a390b5cde87d4d00604ee745e8ea83202ff Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Mon, 28 Nov 2022 16:43:30 +0100 Subject: [PATCH 24/73] 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 25/73] 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 26/73] 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 27/73] 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 28/73] 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 29/73] 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 30/73] 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 32/73] 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 33/73] 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 34/73] 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 35/73] 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 36/73] 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 37/73] 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 38/73] 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 39/73] 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, + "lockfileVersion": 2, 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"https://registry.npmjs.org/yargs-parser/-/yargs-parser-20.2.9.tgz", - "integrity": "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 40/73] 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 41/73] 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 42/73] 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 43/73] 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 44/73] 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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