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README.bs-BA.md
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README.bs-BA.md
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# JavaScript Algoritmi i Strukture podataka
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# IN PROGRESS...
|
||||
|
||||
[](https://github.com/trekhleb/javascript-algorithms/actions?query=workflow%3ACI+branch%3Amaster)
|
||||
[](https://codecov.io/gh/trekhleb/javascript-algorithms)
|
||||
|
||||
|
||||
Ovaj repozitorij sadrzi JavaScript bazirane primjere od vise
|
||||
popularnih Algoritama i Struktura podataka.
|
||||
|
||||
Svaki Algoritam i Struktura podataka ima svoj vlastiti, poseban README
|
||||
koji je povezan sa objasnjenjima i linkovima za dalje citanje (ukljucujuci i Youtube video materijale).
|
||||
|
||||
_procitajte na drugim jezicima:_
|
||||
[_Arabic_](README.ar-AR.md),
|
||||
[_Türk_](README.tr-TR.md),
|
||||
[_Русский_](README.ru-RU.md),
|
||||
[_Français_](README.fr-FR.md),
|
||||
[_Italiana_](README.it-IT.md),
|
||||
[_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),
|
||||
[_Español_](README.es-ES.md),
|
||||
[_Português_](README.pt-BR.md),
|
||||
[_Bahasa Indonesia_](README.id-ID.md),
|
||||
[_Українська_](README.uk-UA.md),
|
||||
|
||||
|
||||
*☝ Ovaj projekt je osmisljen da se koristi iskljucivo u svrhe ucenja i nacunog istrazivanja, i **nije** osmisljen da bude koristen u produkciji.*
|
||||
|
||||
## Strukture Podataka
|
||||
|
||||
Struktura podataka je poseban način organiziranja i pohranjivanja podataka u računar kako bi istim
|
||||
mogloe ofikasno pristupiti i mijenjati. Preciznije, struktura podataka je zbirka podataka
|
||||
vrijednosti, odnosa među njima, funkcije ili operacije koje se mogu primijeniti na
|
||||
podatke.
|
||||
|
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`B` - Pocetnik - Beginner, `A` - Napredni - Advanced
|
||||
|
||||
* `B` [Linked List](src/data-structures/linked-list)
|
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* `B` [Doubly Linked List](src/data-structures/doubly-linked-list)
|
||||
* `B` [Queue](src/data-structures/queue)
|
||||
* `B` [Stack](src/data-structures/stack)
|
||||
* `B` [Hash Table](src/data-structures/hash-table)
|
||||
* `B` [Heap](src/data-structures/heap) - max and min heap versions
|
||||
* `B` [Priority Queue](src/data-structures/priority-queue)
|
||||
* `A` [Trie](src/data-structures/trie)
|
||||
* `A` [Tree](src/data-structures/tree)
|
||||
* `A` [Binary Search Tree](src/data-structures/tree/binary-search-tree)
|
||||
* `A` [AVL Tree](src/data-structures/tree/avl-tree)
|
||||
* `A` [Red-Black Tree](src/data-structures/tree/red-black-tree)
|
||||
* `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` [Bloom Filter](src/data-structures/bloom-filter)
|
||||
|
||||
## Algoritmi
|
||||
|
||||
Algoritam je nedvosmislena specifikacija kako riješiti klasu problema. To je
|
||||
skup pravila koja precizno definiraju niz operacija.
|
||||
|
||||
`B` - Pocetnik - Beginner, `A` - Napredni - Advanced
|
||||
|
||||
### Algoritmi po temama
|
||||
|
||||
* **Matematika**
|
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* `B` [Bit Manipulation](src/algorithms/math/bits) - postaviti / dobiti / ažurirati / očistiti bitove, množenje / dijeljenje sa dva, napraviti negativne itd
|
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* `B` [Factorial](src/algorithms/math/factorial)
|
||||
* `B` [Fibonacci Number](src/algorithms/math/fibonacci) - klasične verzije i verzije zatvorenog oblika
|
||||
* `B` [Prime Factors](src/algorithms/math/prime-factors) - pronalaženje glavnih faktora i njihovo brojanje pomoću Hardy-Ramanujanove teoreme
|
||||
* `B` [Primality Test](src/algorithms/math/primality-test) (trial division method)
|
||||
* `B` [Euclidean Algorithm](src/algorithms/math/euclidean-algorithm) - calculate the Greatest Common Divisor (GCD)
|
||||
* `B` [Least Common Multiple](src/algorithms/math/least-common-multiple) (LCM)
|
||||
* `B` [Sieve of Eratosthenes](src/algorithms/math/sieve-of-eratosthenes) - finding all prime numbers up to any given limit
|
||||
* `B` [Is Power of Two](src/algorithms/math/is-power-of-two) - check if the number is power of two (naive and bitwise algorithms)
|
||||
* `B` [Pascal's Triangle](src/algorithms/math/pascal-triangle)
|
||||
* `B` [Complex Number](src/algorithms/math/complex-number) - complex numbers and basic operations with them
|
||||
* `B` [Radian & Degree](src/algorithms/math/radian) - radians to degree and backwards conversion
|
||||
* `B` [Fast Powering](src/algorithms/math/fast-powering)
|
||||
* `B` [Horner's method](src/algorithms/math/horner-method) - polynomial evaluation
|
||||
* `B` [Matrices](src/algorithms/math/matrix) - matrices and basic matrix operations (multiplication, transposition, etc.)
|
||||
* `B` [Euclidean Distance](src/algorithms/math/euclidean-distance) - distance between two points/vectors/matrices
|
||||
* `A` [Integer Partition](src/algorithms/math/integer-partition)
|
||||
* `A` [Square Root](src/algorithms/math/square-root) - Newton's method
|
||||
* `A` [Liu Hui π Algorithm](src/algorithms/math/liu-hui) - approximate π calculations based on N-gons
|
||||
* `A` [Discrete Fourier Transform](src/algorithms/math/fourier-transform) - decompose a function of time (a signal) into the frequencies that make it up
|
||||
* **Setovi**
|
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* `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` [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)
|
||||
* `A` [Longest Increasing Subsequence](src/algorithms/sets/longest-increasing-subsequence)
|
||||
* `A` [Shortest Common Supersequence](src/algorithms/sets/shortest-common-supersequence) (SCS)
|
||||
* `A` [Knapsack Problem](src/algorithms/sets/knapsack-problem) - "0/1" and "Unbound" ones
|
||||
* `A` [Maximum Subarray](src/algorithms/sets/maximum-subarray) - "Brute Force" and "Dynamic Programming" (Kadane's) versions
|
||||
* `A` [Combination Sum](src/algorithms/sets/combination-sum) - find all combinations that form specific sum
|
||||
* **Stringovi**
|
||||
* `B` [Hamming Distance](src/algorithms/string/hamming-distance) - number of positions at which the symbols are different
|
||||
* `A` [Levenshtein Distance](src/algorithms/string/levenshtein-distance) - minimum edit distance between two sequences
|
||||
* `A` [Knuth–Morris–Pratt Algorithm](src/algorithms/string/knuth-morris-pratt) (KMP Algorithm) - substring search (pattern matching)
|
||||
* `A` [Z Algorithm](src/algorithms/string/z-algorithm) - substring search (pattern matching)
|
||||
* `A` [Rabin Karp Algorithm](src/algorithms/string/rabin-karp) - substring search
|
||||
* `A` [Longest Common Substring](src/algorithms/string/longest-common-substring)
|
||||
* `A` [Regular Expression Matching](src/algorithms/string/regular-expression-matching)
|
||||
* **Pretrage**
|
||||
* `B` [Linear Search](src/algorithms/search/linear-search)
|
||||
* `B` [Jump Search](src/algorithms/search/jump-search) (or Block Search) - search in sorted array
|
||||
* `B` [Binary Search](src/algorithms/search/binary-search) - search in sorted array
|
||||
* `B` [Interpolation Search](src/algorithms/search/interpolation-search) - search in uniformly distributed sorted array
|
||||
* **Sortiranje**
|
||||
* `B` [Bubble Sort](src/algorithms/sorting/bubble-sort)
|
||||
* `B` [Selection Sort](src/algorithms/sorting/selection-sort)
|
||||
* `B` [Insertion Sort](src/algorithms/sorting/insertion-sort)
|
||||
* `B` [Heap Sort](src/algorithms/sorting/heap-sort)
|
||||
* `B` [Merge Sort](src/algorithms/sorting/merge-sort)
|
||||
* `B` [Quicksort](src/algorithms/sorting/quick-sort) - in-place and non-in-place implementations
|
||||
* `B` [Shellsort](src/algorithms/sorting/shell-sort)
|
||||
* `B` [Counting Sort](src/algorithms/sorting/counting-sort)
|
||||
* `B` [Radix Sort](src/algorithms/sorting/radix-sort)
|
||||
* **Linkovane Liste**
|
||||
* `B` [Straight Traversal](src/algorithms/linked-list/traversal)
|
||||
* `B` [Reverse Traversal](src/algorithms/linked-list/reverse-traversal)
|
||||
* **Trees**
|
||||
* `B` [Depth-First Search](src/algorithms/tree/depth-first-search) (DFS)
|
||||
* `B` [Breadth-First Search](src/algorithms/tree/breadth-first-search) (BFS)
|
||||
* **Grafovi**
|
||||
* `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) - finding Minimum Spanning Tree (MST) for weighted undirected graph
|
||||
* `A` [Dijkstra Algorithm](src/algorithms/graph/dijkstra) - finding the shortest paths to all graph vertices from single vertex
|
||||
* `A` [Bellman-Ford Algorithm](src/algorithms/graph/bellman-ford) - finding the shortest paths to all graph vertices from single vertex
|
||||
* `A` [Floyd-Warshall Algorithm](src/algorithms/graph/floyd-warshall) - find the shortest paths between all pairs of vertices
|
||||
* `A` [Detect Cycle](src/algorithms/graph/detect-cycle) - for both directed and undirected graphs (DFS and Disjoint Set based versions)
|
||||
* `A` [Prim’s Algorithm](src/algorithms/graph/prim) - finding Minimum Spanning Tree (MST) for weighted undirected graph
|
||||
* `A` [Topological Sorting](src/algorithms/graph/topological-sorting) - DFS method
|
||||
* `A` [Articulation Points](src/algorithms/graph/articulation-points) - Tarjan's algorithm (DFS based)
|
||||
* `A` [Bridges](src/algorithms/graph/bridges) - DFS based algorithm
|
||||
* `A` [Eulerian Path and Eulerian Circuit](src/algorithms/graph/eulerian-path) - Fleury's algorithm - Visit every edge exactly once
|
||||
* `A` [Hamiltonian Cycle](src/algorithms/graph/hamiltonian-cycle) - Visit every vertex exactly once
|
||||
* `A` [Strongly Connected Components](src/algorithms/graph/strongly-connected-components) - Kosaraju's algorithm
|
||||
* `A` [Travelling Salesman Problem](src/algorithms/graph/travelling-salesman) - shortest possible route that visits each city and returns to the origin city
|
||||
* **Kriptografija**
|
||||
* `B` [Polynomial Hash](src/algorithms/cryptography/polynomial-hash) - rolling hash function based on polynomial
|
||||
* `B` [Rail Fence Cipher](src/algorithms/cryptography/rail-fence-cipher) - a transposition cipher algorithm for encoding messages
|
||||
* `B` [Caesar Cipher](src/algorithms/cryptography/caesar-cipher) - simple substitution cipher
|
||||
* `B` [Hill Cipher](src/algorithms/cryptography/hill-cipher) - substitution cipher based on linear algebra
|
||||
* **Masinsko ucenje**
|
||||
* `B` [NanoNeuron](https://github.com/trekhleb/nano-neuron) - 7 simple JS functions that illustrate how machines can actually learn (forward/backward propagation)
|
||||
* `B` [k-NN](src/algorithms/ml/knn) - k-nearest neighbors classification algorithm
|
||||
* `B` [k-Means](src/algorithms/ml/k-means) - k-Means clustering algorithm
|
||||
* **Procesiranje slika**
|
||||
* `B` [Seam Carving](src/algorithms/image-processing/seam-carving) - content-aware image resizing algorithm
|
||||
* **Nekategorizirani**
|
||||
* `B` [Tower of Hanoi](src/algorithms/uncategorized/hanoi-tower)
|
||||
* `B` [Square Matrix Rotation](src/algorithms/uncategorized/square-matrix-rotation) - in-place algorithm
|
||||
* `B` [Jump Game](src/algorithms/uncategorized/jump-game) - backtracking, dynamic programming (top-down + bottom-up) and greedy examples
|
||||
* `B` [Unique Paths](src/algorithms/uncategorized/unique-paths) - backtracking, dynamic programming and Pascal's Triangle based examples
|
||||
* `B` [Rain Terraces](src/algorithms/uncategorized/rain-terraces) - trapping rain water problem (dynamic programming and brute force versions)
|
||||
* `B` [Recursive Staircase](src/algorithms/uncategorized/recursive-staircase) - count the number of ways to reach to the top (4 solutions)
|
||||
* `B` [Best Time To Buy Sell Stocks](src/algorithms/uncategorized/best-time-to-buy-sell-stocks) - divide and conquer and one-pass examples
|
||||
* `A` [N-Queens Problem](src/algorithms/uncategorized/n-queens)
|
||||
* `A` [Knight's Tour](src/algorithms/uncategorized/knight-tour)
|
||||
|
||||
### Algoritmi Paradigme
|
||||
|
||||
Algoritmička paradigma je generička metoda ili pristup koji leži u osnovi dizajna klase
|
||||
algoritama. To je apstrakcija viša od pojma algoritma, baš kao i
|
||||
sto je i algoritam viša apstrakcija od računarskog programa.
|
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|
||||
* ** Brute Force ** - sagledajte sve mogućnosti i odaberite najbolje rješenje
|
||||
* `B` [Linear Search](src/algorithms/search/linear-search)
|
||||
* `B` [Rain Terraces](src/algorithms/uncategorized/rain-terraces) - trapping rain water problem
|
||||
* `B` [Recursive Staircase](src/algorithms/uncategorized/recursive-staircase) - count the number of ways to reach to the top
|
||||
* `A` [Maximum Subarray](src/algorithms/sets/maximum-subarray)
|
||||
* `A` [Travelling Salesman Problem](src/algorithms/graph/travelling-salesman) - shortest possible route that visits each city and returns to the origin city
|
||||
* `A` [Discrete Fourier Transform](src/algorithms/math/fourier-transform) - decompose a function of time (a signal) into the frequencies that make it up
|
||||
* **Greedy** - odaberite najbolju opciju u ovom trenutku, bez ikakvog razmatranja za budućnost
|
||||
* `B` [Jump Game](src/algorithms/uncategorized/jump-game)
|
||||
* `A` [Unbound Knapsack Problem](src/algorithms/sets/knapsack-problem)
|
||||
* `A` [Dijkstra Algorithm](src/algorithms/graph/dijkstra) - finding the shortest path to all graph vertices
|
||||
* `A` [Prim’s Algorithm](src/algorithms/graph/prim) - finding Minimum Spanning Tree (MST) for weighted undirected graph
|
||||
* `A` [Kruskal’s Algorithm](src/algorithms/graph/kruskal) - finding Minimum Spanning Tree (MST) for weighted undirected graph
|
||||
* **Divide and Conquer** - podijeli problem na manje dijelove, a zatim riješi te dijelove
|
||||
* `B` [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) - calculate the Greatest Common Divisor (GCD)
|
||||
* `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` [Matrices](src/algorithms/math/matrix) - generating and traversing the matrices of different shapes
|
||||
* `B` [Jump Game](src/algorithms/uncategorized/jump-game)
|
||||
* `B` [Fast Powering](src/algorithms/math/fast-powering)
|
||||
* `B` [Best Time To Buy Sell Stocks](src/algorithms/uncategorized/best-time-to-buy-sell-stocks) - divide and conquer and one-pass examples
|
||||
* `A` [Permutations](src/algorithms/sets/permutations) (with and without repetitions)
|
||||
* `A` [Combinations](src/algorithms/sets/combinations) (with and without repetitions)
|
||||
* **Dynamic Programming** - izgraditi rješenje koristeći prethodno pronađena podrešenja
|
||||
* `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 rain water problem
|
||||
* `B` [Recursive Staircase](src/algorithms/uncategorized/recursive-staircase) - count the number of ways to reach to the top
|
||||
* `B` [Seam Carving](src/algorithms/image-processing/seam-carving) - content-aware image resizing algorithm
|
||||
* `A` [Levenshtein Distance](src/algorithms/string/levenshtein-distance) - minimum edit distance between two sequences
|
||||
* `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) - finding the shortest path to all graph vertices
|
||||
* `A` [Floyd-Warshall Algorithm](src/algorithms/graph/floyd-warshall) - find the shortest paths between all pairs of vertices
|
||||
* `A` [Regular Expression Matching](src/algorithms/string/regular-expression-matching)
|
||||
* **Backtracking** - slično kao brute force, pokušaj generirati sva moguća rješenja, ali svaki put kada generiramo sljedeće rješenje testiramo
|
||||
da li zadovoljava sve uvjete, a tek onda nastavimo s generiranjem sljedećih rješenja. U suprotnom, vrati se i idi dalje trazeci drugi put pronalaženja rješenja. Uobičajeno se koristi DFS traversal of state-space.
|
||||
* `B` [Jump Game](src/algorithms/uncategorized/jump-game)
|
||||
* `B` [Unique Paths](src/algorithms/uncategorized/unique-paths)
|
||||
* `B` [Power Set](src/algorithms/sets/power-set) - all subsets of a set
|
||||
* `A` [Hamiltonian Cycle](src/algorithms/graph/hamiltonian-cycle) - Visit every vertex exactly once
|
||||
* `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) - find all combinations that form specific sum
|
||||
* **Branch & Bound** - pamti se najjefikasnije rješenje pronađeno u svakoj fazi povratka unatrag,
|
||||
pretraži i upotrijebi cijenu tog rješenja pronađenog do sada kao donju granicu cijene
|
||||
za najjeftinije/najefikasnije (koje trosi najmanje resursa) rješenje problema, kako bi se odbacila djelomična rješenja s troškovima većim od
|
||||
do sada pronađenog najjeftinijeg/najefikasnijeg rješenja. Uobicajeno se koristi BFS traversal u kombinaciji sa DFS traversal of state-space
|
||||
tree.
|
||||
|
||||
## Kako koristiti ovaj repozitorij
|
||||
|
||||
**Instaliraj dependencies**
|
||||
|
||||
```
|
||||
npm install
|
||||
```
|
||||
|
||||
**Pokreni ESLint**
|
||||
|
||||
You may want to run it to check code quality.
|
||||
|
||||
```
|
||||
npm run lint
|
||||
```
|
||||
|
||||
**Pokreni sve tests**
|
||||
|
||||
```
|
||||
npm test
|
||||
```
|
||||
|
||||
**Pokreni testove po imenu**
|
||||
|
||||
```
|
||||
npm test -- 'LinkedList'
|
||||
```
|
||||
|
||||
**Problematika i kako je rijesiti**
|
||||
|
||||
In case if linting or testing is failing try to delete the `node_modules` folder and re-install npm packages:
|
||||
|
||||
```
|
||||
rm -rf ./node_modules
|
||||
npm i
|
||||
```
|
||||
|
||||
**Playground**
|
||||
|
||||
You may play with data-structures and algorithms in `./src/playground/playground.js` file and write
|
||||
tests for it in `./src/playground/__test__/playground.test.js`.
|
||||
|
||||
Then just simply run the following command to test if your playground code works as expected:
|
||||
|
||||
```
|
||||
npm test -- 'playground'
|
||||
```
|
||||
|
||||
## Useful Information
|
||||
|
||||
### References
|
||||
|
||||
[▶ Data Structures and Algorithms on YouTube](https://www.youtube.com/playlist?list=PLLXdhg_r2hKA7DPDsunoDZ-Z769jWn4R8)
|
||||
|
||||
### Big O Notation
|
||||
|
||||
*Big O notation* is used to classify algorithms according to how their running time or space requirements grow as the input size grows.
|
||||
On the chart below you may find most common orders of growth of algorithms specified in Big O notation.
|
||||
|
||||
|
||||
|
||||
Source: [Big O Cheat Sheet](http://bigocheatsheet.com/).
|
||||
|
||||
Below is the list of some of the most used Big O notations and their performance comparisons against different sizes of the input data.
|
||||
|
||||
| Big O Notation | Computations for 10 elements | Computations for 100 elements | Computations for 1000 elements |
|
||||
| -------------- | ---------------------------- | ----------------------------- | ------------------------------- |
|
||||
| **O(1)** | 1 | 1 | 1 |
|
||||
| **O(log N)** | 3 | 6 | 9 |
|
||||
| **O(N)** | 10 | 100 | 1000 |
|
||||
| **O(N log N)** | 30 | 600 | 9000 |
|
||||
| **O(N^2)** | 100 | 10000 | 1000000 |
|
||||
| **O(2^N)** | 1024 | 1.26e+29 | 1.07e+301 |
|
||||
| **O(N!)** | 3628800 | 9.3e+157 | 4.02e+2567 |
|
||||
|
||||
### Data Structure Operations Complexity
|
||||
|
||||
| Data Structure | Access | Search | Insertion | Deletion | Comments |
|
||||
| ----------------------- | :-------: | :-------: | :-------: | :-------: | :-------- |
|
||||
| **Array** | 1 | n | n | n | |
|
||||
| **Stack** | n | n | 1 | 1 | |
|
||||
| **Queue** | n | n | 1 | 1 | |
|
||||
| **Linked List** | n | n | 1 | n | |
|
||||
| **Hash Table** | - | n | n | n | In case of perfect hash function costs would be O(1) |
|
||||
| **Binary Search Tree** | n | n | n | n | In case of balanced tree costs would be 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 | - | False positives are possible while searching |
|
||||
|
||||
### Array Sorting Algorithms Complexity
|
||||
|
||||
| Name | Best | Average | Worst | Memory | Stable | Comments |
|
||||
| --------------------- | :-------------: | :-----------------: | :-----------------: | :-------: | :-------: | :-------- |
|
||||
| **Bubble sort** | n | n<sup>2</sup> | n<sup>2</sup> | 1 | Yes | |
|
||||
| **Insertion sort** | n | n<sup>2</sup> | n<sup>2</sup> | 1 | Yes | |
|
||||
| **Selection sort** | n<sup>2</sup> | n<sup>2</sup> | n<sup>2</sup> | 1 | No | |
|
||||
| **Heap sort** | n log(n) | n log(n) | n log(n) | 1 | No | |
|
||||
| **Merge sort** | n log(n) | n log(n) | n log(n) | n | Yes | |
|
||||
| **Quick sort** | n log(n) | n log(n) | n<sup>2</sup> | log(n) | No | Quicksort is usually done in-place with O(log(n)) stack space |
|
||||
| **Shell sort** | n log(n) | depends on gap sequence | n (log(n))<sup>2</sup> | 1 | No | |
|
||||
| **Counting sort** | n + r | n + r | n + r | n + r | Yes | r - biggest number in array |
|
||||
| **Radix sort** | n * k | n * k | n * k | n + k | Yes | k - length of longest key |
|
||||
|
||||
## Project Backers
|
||||
|
||||
> You may support this project via ❤️️ [GitHub](https://github.com/sponsors/trekhleb) or ❤️️ [Patreon](https://www.patreon.com/trekhleb).
|
||||
|
||||
[Folks who are backing this project](https://github.com/trekhleb/javascript-algorithms/blob/master/BACKERS.md) `∑ = 0`
|
||||
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Reference in New Issue
Block a user