From 65e4a7c8b35914e70bfc2b7cbc58c5a9f654db53 Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Fri, 6 Jan 2023 14:37:36 +0100 Subject: [PATCH 01/54] 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 02/54] 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 03/54] 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 05/54] 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 06/54] 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 07/54] 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 08/54] 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 09/54] 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 10/54] 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 11/54] 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 12/54] 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 13/54] 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 14/54] 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 15/54] 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 16/54] 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 17/54] 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` + + zaLCuGv1SU)40Kh0dGI;dUI!1W7?c3a1X#9njMrpquYNx^e$2_~?e`RR&^ClPmLDtm z-?FnA#N0W<$TAk5M2I0xg83YS6lgHNkiZZ#rdj&UC7%{n-kaEdzx3+TPh& zcwDCRNo6uymV9q&_`@^3*=tP8RXiQmau4g~FZ>uPdm^z{OE{sQ+jWb?V$jfZ)NEar z<}ThbHF)@)ojna60Ds5-4E#1yE+k))`rAou(R~#!(g7D!QE4tL@D3f#9WgajcY69u zd}d>e%GZ)&K4faUBqW6KB)e+Ss)F!Sor`6hkjqGzqH z;y?(_R!{fn?S*4MQ;XSuxAK)s4jFqD1mo|d9djx!?Hw#cx{mg~0AgysW@)P6zd7HL zMwjRH+dV8#C(E9UWJwd3etig2a z{JX&d=~Xy9c+&cz00?keAAtmr5jYh~2P4b!Y26UKW#K|kN3vxj;ppBGsJ5NuxA@jn z?>Ycukyh|di@)4`-_{j`dGb+vE(V^`CbYA_dC5(vH0uxYTN-&tjWXUl*crZ|Ac28J zOBaqqdxfq-S<5XE*N&Z+VabHe`C)JV3$y#whzmd9JKzt+jWHrUH@ zd_F62+Wabl;f8Ev%f^x1yX$--8y;nE(lxf*$rZbRtP+~OK3SgSy2=W^Kbj}RLc8I~ z!X7%e_ZhZWhu^6^P9Ybgau`f&B>yFff%Syei-eG1X(dn6Z|?1mbk0t7%8BKWkKyH> z*!Dg9!N(qq&r_SWS0fb}?anSbygL1flkjKUF<-sDq{?#gQRKT@-F<#rvKu{n3l08X za&%7ztvqADPq6h@Nhz@mpACWFQr))Yz|2HH3A~mH8uoIQASD6$@TF2KOF|JiXI#C< zv~CJHaP2yrfA*~6VV~AInEA*gY1-#~>R@wEHXC?TcRnuYqRlTUN)?4SUY`JvXDLR81 zy|>S%Q8ZjGok%G`^B0c>W#UPAvMEL*u2k$DC6Yj+IbmsBA9gW>?4RdX#Co1aK0d`|8shaaBhN0QL`c=OOu%ETdjJ#bl z9?Q!|<5Mul7kqc$5;9>@v&zzWIA;8Qf|uf{WrA8nj>bpGijo|_WTuET1kSa4`$vZv zPDEEY+fK-e4?w{DwEcUVH+JZ6wTQe}q3ZUP-sB(^3NOeWAJrN-EjI!uViEMn5uh@@ z^5NxH^FGxrO?{`B(pz>nv6ft<(yUI(GGm2K-XAgVR+yHbbe&=4e7SEsbH~zdBKznt zvOrwPGhp|VzfRfS{;gR3$c@W?v?_5=c^-M5c#MXbtlbO>EX!~2xF0Jb-j4f32M_ZZ zsVJJ?N^o?e-@W&gF|FuW$=~tM7R%N*3HOEV%$&1Sa`TuHYSD)-mYXe1;8BEfAQYo|eJD=H>9P>P{E&~?w;ES+|C${)?{v{WCi4~2%p16xu4Ev2Z~Vh)GD z!Fm9z1-nBgu?TycljFCJzYf!QjQWwN4+e;W=iXelEAlxFb>dzM+6yBY?ux!I*4B+8 z@lm)rd&xt$`gyhB$>N>W$)ER`bepV$3V#S(Kl@=d@+XLWBx^WDEMKkI2Z$%J#-D@g zdsUxgX|O-Gv{A~)ISabPWL!k#_8P?gnLnAqcd0{1qv@rckWJCmxCYIg{Ay+WpN=h0 zpnul1rfHY&tuaQI>9GH+Vo&(7Tj@ZdN_p;vCPDTMqxsV7`JR?7kV411zWS?P?YLA` zRBGuloGtDF#N{QuP%0jkm;^|Tl?yERvpaSQfb{x#= z^nCPKagb`j%R<$G^$bN1_vY$gdmso}@{i9Gk{l(6lgOOJ^bZPSMN9H3Hcbu-b$DJ>eG z)S>!m*}B}&f82|S;V6kH1m%e(7atJ|CkvNi5^&0dpx{c1ED#fI^8+RtDNOkE|;@EB2b|hi_(S&2dTM>#n^suebHMoAC202>F(TU#F zey451mu2$z=~>jslg*%#D@@-sN-#N>;pbwIef$KmTLprGspU|$q0<5FaAKQ?Jv3G=2hSU5CQbtB>$D^(#sqM(Qn?o z8M+@bLW_af2~*1NY<{v8f8PHXGT>0s^+xY{vUcHNz9$Y7+Ky(`9;x$VH*A>+6fgb*DjMVjNf30c0Him2#efj45G z2RDBN_=Y?VQgT2HN$_yG&<`$lE6HLMUST4qb#hd~e14fuwn-y&Gcg~o9G zE6$dLMTdt3kt?5R_C8Sh>gc8W45?zQok(6#$A{au-I|l6y}~ge>Q2aG9)d4U8DIPM zjalQ%KgO%WSpn8Fb;E)Djj_X7(sD3(IdHZvjlu9N0>%&lB7&>5lYpAkZ`6EU052QT z6f0h!H`GIT4ArXYH6lP(d=%`{DBL4|FMRRG5XOhB<@7ZkJ~I64qE>Nt;*TxMzu;UU z&tF^f)n~5HwHowv4;a4ae z)|TK+71D6r2O8Cb=X9SpKi%F3sG-iN)_O{%!FgltqVRkr4Ld{;J2{9mwGvx~oi@sK zf7|%UpN#FWQ@l=8JGKzVpdvhmRXsvu6pVh4{_wIAHA8ixNjWfZkY4Xd09%#t#x0F$|Qr zgs7oLiZLl65$&VUXIPd$Mlm@5C--^r@eSTKm`BxfShWwmPj%}-y|Wm}ej9RyOWZL6 zKqOCt-A}>nQo|rySVA|vEyu=0XES(_$jiPlLEeW1jfeThNTy6BPXf(w`*trFM15Yg zzuKGH;Jfx3DKWq=BR7tU2y_j_h=B&;ztp%)r3L8L-G^wPMxN(zf@0No+?E`^w_Su` z!3@R_5ATFa!-Ibmhe@LBQ^SHagM@eZuOSY3QzSBBc=wSh(f)%vI=*`4t}f+%KwR73 zjjvK)Y8&?^bo;TEQmYFY<$R;Ai@esO;x?ygh`oU<9}H9`oDrOdoq?3%aK#rWczo-N zStYU$%!g=3U+Pb%Ln*ZR&YXliB{+AOg(v^oJjAQeq)Y*F0pzb~NMc|LmHAk?@sY*2 zgI@7jfWp0l?uvxO(a~1xwT$;z9865IDkZde5v&BDnuOgE1O6APPzcqzRI6fOV30vtBw)nADZT^_Lt#mO zWJ|O7MaqDGQ{lX!(;df=)?I*A3LCuw0s{G>%IEX}TEtJTKUvHPXCm7H*I}`Tk?N1i z{{)<2y#?fe!bD4k!0Q^XZ7%QYTI)~=HiTL@y4gwM^v z6fBfZ8$>R?YQOeCtLB)1Md6faU8`Ju3f`mgu;&;cp}4m`Y4Q6Cg%7xUk?T`$LA2o_ z$Oc2)aH)Y$LNCWIAfe_0=9_e4&SVI`=jVH%8Eu}ilyCY=_DTIh4Yv6;gk1?DlORW^ zW5#&wfkpVRFP2&T5jexU_JOfv#t5)d^BL$*rUvwyZpkR#zB=Tx-h7KN2s}2%} zsEH@BHnW1-0Mt@~BGHmHpSeQz18ussQ;8KIO8qLgZ!08ow)UpxJfCeCM~N^4pK*Cr zerx?Z(MhvXuq%={>EFZ=rO|?2@PSU2?|e^$vwMS9Ch_u&xg*iZT4AZ=ETz-Cuj87A zHg7_3WnB*z;~sPOA+dy#Rf`6x+@sm`r|SeSUcK8M*y$*6WBxLX9Q_62o80UbCLJMM zn<-Q)Ig)S5B0+>!4}e*J?;ad2Odub-Px%qyz1)2L?+N{R?7Qcw*t|S zCvRdnx1rQrlk1MWqdo!O=_x|RHv-aTw$usA08WJLS#bHkTDokX#UME2o&Oe^R9G$YUX-xp!4}h9> zUi=uoKKR^}yxyD9B5FAl{quA1wadeBK=ZpTj6MAe9S6DbPB0F;N|4d;M)>cf37jCp zQPRaZ{9jZKxGhE`AA)xn*v;~AeC$y^sDA$aCT)CB9-2MFLKJT#A2_%lj&0WiZl2u9 zu>GE>Ml+G8{OQ;FR9cC0cIe89Hoc-f;F4?ez z+}?Tly|&n!xy25TXmj)hl!ZMo`L?kF%DpuMJL6%Op?1Gd%?iv04lr=KE0+v*RbN=C zO=?Ap{qLFeaklR3_&@AdFRT%fOGlJ*9gJ!s@67oDeFnaKXQ0@PXVs_BdeJCpSYvkZ zfLuEF2J=mx6cNvFuhK_ah1QIPpmS|8mKRYUo8bN!^NhvNGi|&sg6|7F|y(%^Xvw(FQ z#ONA8HLQQ;tc{t~cS;{7_%o*Si+43c=z9Hf>P~~T_I3T(#yr0FPCCZJ9h=Z4 zw!EC;2*j7d$zVe{9YO4FEaKR`^}H)X*?S%@@Av5UP(bGE0mGXAclt2Xm)RLI=4Y>; 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