Skip to content

Commit 4b08560

Browse files
committed
2 parents 8035c13 + 51cf96c commit 4b08560

File tree

7 files changed

+252
-16
lines changed

7 files changed

+252
-16
lines changed

DIRECTORY.md

Lines changed: 5 additions & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -42,6 +42,7 @@
4242
* [StackES6](https://github.com/TheAlgorithms/Javascript/blob/master/Data-Structures/Stack/StackES6.js)
4343
* Tree
4444
* [BinarySearchTree](https://github.com/TheAlgorithms/Javascript/blob/master/Data-Structures/Tree/BinarySearchTree.js)
45+
* [Trie](https://github.com/TheAlgorithms/Javascript/blob/master/Data-Structures/Tree/Trie.js)
4546

4647
## Dynamic-Programming
4748
* [CoinChange](https://github.com/TheAlgorithms/Javascript/blob/master/Dynamic-Programming/CoinChange.js)
@@ -73,18 +74,22 @@
7374
## Maths
7475
* [Abs](https://github.com/TheAlgorithms/Javascript/blob/master/Maths/Abs.js)
7576
* [AverageMean](https://github.com/TheAlgorithms/Javascript/blob/master/Maths/AverageMean.js)
77+
* [digitSum](https://github.com/TheAlgorithms/Javascript/blob/master/Maths/digitSum.js)
7678
* [Factorial](https://github.com/TheAlgorithms/Javascript/blob/master/Maths/Factorial.js)
7779
* [Fibonacci](https://github.com/TheAlgorithms/Javascript/blob/master/Maths/Fibonacci.js)
7880
* [FindHcf](https://github.com/TheAlgorithms/Javascript/blob/master/Maths/FindHcf.js)
7981
* [FindLcm](https://github.com/TheAlgorithms/Javascript/blob/master/Maths/FindLcm.js)
8082
* [GridGet](https://github.com/TheAlgorithms/Javascript/blob/master/Maths/GridGet.js)
83+
* [ModularBinaryExponentiationRecursive](https://github.com/TheAlgorithms/Javascript/blob/master/Maths/ModularBinaryExponentiationRecursive.js)
8184
* [Palindrome](https://github.com/TheAlgorithms/Javascript/blob/master/Maths/Palindrome.js)
8285
* [PascalTriangle](https://github.com/TheAlgorithms/Javascript/blob/master/Maths/PascalTriangle.js)
8386
* [PiApproximationMonteCarlo](https://github.com/TheAlgorithms/Javascript/blob/master/Maths/PiApproximationMonteCarlo.js)
87+
* [PrimeCheck](https://github.com/TheAlgorithms/Javascript/blob/master/Maths/PrimeCheck.js)
8488
* [SieveOfEratosthenes](https://github.com/TheAlgorithms/Javascript/blob/master/Maths/SieveOfEratosthenes.js)
8589

8690
## Recursive
8791
* [EucledianGCD](https://github.com/TheAlgorithms/Javascript/blob/master/Recursive/EucledianGCD.js)
92+
* [TowerOfHanoi](https://github.com/TheAlgorithms/Javascript/blob/master/Recursive/TowerOfHanoi.js)
8893

8994
## Search
9095
* [BinarySearch](https://github.com/TheAlgorithms/Javascript/blob/master/Search/BinarySearch.js)

Data-Structures/Tree/Trie.js

Lines changed: 137 additions & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,137 @@
1+
var TrieNode = function TrieNode (key, parent) {
2+
this.key = key
3+
this.count = 0
4+
this.children = Object.create(null)
5+
if (parent === undefined) {
6+
this.parent = null
7+
} else {
8+
this.parent = parent
9+
}
10+
}
11+
12+
function Trie () {
13+
// create only root with null key and parent
14+
this.root = new TrieNode(null, null)
15+
}
16+
17+
// Recursively finds the occurence of all words in a given node
18+
Trie.findAllWords = function (root, word, output) {
19+
if (root === null) return
20+
if (root.count > 0) {
21+
if (typeof output === 'object') { output.push({ word: word, count: root.count }) }
22+
}
23+
var key
24+
for (key in root.children) {
25+
word += key
26+
this.findAllWords(root.children[key], word, output)
27+
word = word.slice(0, -1)
28+
}
29+
}
30+
31+
Trie.prototype.insert = function (word) {
32+
if (typeof word !== 'string') return
33+
if (word === '') {
34+
this.root.count += 1
35+
return
36+
}
37+
var node = this.root
38+
var len = word.length
39+
var i
40+
for (i = 0; i < len; i++) {
41+
if (node.children[word.charAt(i)] === undefined) { node.children[word.charAt(i)] = new TrieNode(word.charAt(i), node) }
42+
node = node.children[word.charAt(i)]
43+
}
44+
node.count += 1
45+
}
46+
47+
Trie.prototype.findPrefix = function (word) {
48+
if (typeof word !== 'string') return null
49+
var node = this.root
50+
var len = word.length
51+
var i
52+
// After end of this loop node will be at desired prefix
53+
for (i = 0; i < len; i++) {
54+
if (node.children[word.charAt(i)] === undefined) return null // No such prefix exists
55+
node = node.children[word.charAt(i)]
56+
}
57+
return node
58+
}
59+
60+
Trie.prototype.remove = function (word, count) {
61+
if (typeof word !== 'string') return
62+
if (typeof count !== 'number') count = 1
63+
else if (count <= 0) return
64+
65+
// for empty string just delete count of root
66+
if (word === '') {
67+
if (this.root.count >= count) this.root.count -= count
68+
else this.root.count = 0
69+
return
70+
}
71+
72+
var child = this.root
73+
var len = word.length
74+
var i, key
75+
// child: node which is to be deleted
76+
for (i = 0; i < len; i++) {
77+
key = word.charAt(i)
78+
if (child.children[key] === undefined) return
79+
child = child.children[key]
80+
}
81+
82+
// Delete no of occurences specified
83+
if (child.count >= count) child.count -= count
84+
else child.count = 0
85+
86+
// If some occurences are left we dont delete it or else
87+
// if the object forms some other objects prefix we dont delete it
88+
// For checking an empty object
89+
// https://stackoverflow.com/questions/679915/how-do-i-test-for-an-empty-javascript-object
90+
if (child.count <= 0 && (Object.keys(child.children).length && child.childre.constructor === Object)) {
91+
child.parent.children[child.key] = undefined
92+
}
93+
}
94+
95+
Trie.prototype.findAllWords = function (prefix) {
96+
var output = []
97+
// find the node with provided prefix
98+
var node = this.findPrefix(prefix)
99+
// No such prefix exists
100+
if (node === null) return output
101+
Trie.findAllWords(node, prefix, output)
102+
return output
103+
}
104+
105+
Trie.prototype.contains = function (word) {
106+
// find the node with given prefix
107+
var node = this.findPrefix(word)
108+
// No such word exists
109+
if (node === null || node.count === 0) return false
110+
return true
111+
}
112+
113+
Trie.prototype.findOccurences = function (word) {
114+
// find the node with given prefix
115+
var node = this.findPrefix(word)
116+
// No such word exists
117+
if (node === null) return 0
118+
return node.count
119+
};
120+
121+
// To test
122+
(function demo () {
123+
var x = new Trie()
124+
x.insert('sheldon')
125+
x.insert('hello')
126+
x.insert('anyword')
127+
x.insert('sheldoncooper')
128+
console.log(x.findOccurences('sheldon'))
129+
x.remove('anything')
130+
x.insert('sheldon')
131+
console.log(x.findOccurences('sheldon'))
132+
console.log(x.findAllWords('sheldon'))
133+
x.insert('anything')
134+
x.remove('sheldoncooper')
135+
console.log(x.contains('sheldoncooper'))
136+
console.log(x.findAllWords('sheldon'))
137+
})()

Graphs/DijkstraSmallestPath.js

Lines changed: 16 additions & 16 deletions
Original file line numberDiff line numberDiff line change
@@ -1,23 +1,23 @@
11
// starting at s
22
function solve (graph, s) {
3-
var solutions = {}
3+
const solutions = {}
44
solutions[s] = []
55
solutions[s].dist = 0
66

77
while (true) {
8-
var p = null
9-
var neighbor = null
10-
var dist = Infinity
8+
let p = null
9+
let neighbor = null
10+
let dist = Infinity
1111

12-
for (var n in solutions) {
12+
for (const n in solutions) {
1313
if (!solutions[n]) { continue }
14-
var ndist = solutions[n].dist
15-
var adj = graph[n]
14+
const ndist = solutions[n].dist
15+
const adj = graph[n]
1616

17-
for (var a in adj) {
17+
for (const a in adj) {
1818
if (solutions[a]) { continue }
1919

20-
var d = adj[a] + ndist
20+
const d = adj[a] + ndist
2121
if (d < dist) {
2222
p = solutions[n]
2323
neighbor = a
@@ -40,9 +40,9 @@ function solve (graph, s) {
4040
return solutions
4141
}
4242
// create graph
43-
var graph = {}
43+
const graph = {}
4444

45-
var layout = {
45+
const layout = {
4646
R: ['2'],
4747
2: ['3', '4'],
4848
3: ['4', '6', '13'],
@@ -61,7 +61,7 @@ var layout = {
6161
}
6262

6363
// convert uni-directional to bi-directional graph
64-
// var graph = {
64+
// let graph = {
6565
// a: {e:1, b:1, g:3},
6666
// b: {a:1, c:1},
6767
// c: {b:1, d:1},
@@ -72,7 +72,7 @@ var layout = {
7272
// h: {f:1}
7373
// };
7474

75-
for (var id in layout) {
75+
for (const id in layout) {
7676
if (!graph[id]) { graph[id] = {} }
7777
layout[id].forEach(function (aid) {
7878
graph[id][aid] = 1
@@ -82,13 +82,13 @@ for (var id in layout) {
8282
}
8383

8484
// choose start node
85-
var start = '10'
85+
const start = '10'
8686
// get all solutions
87-
var solutions = solve(graph, start)
87+
const solutions = solve(graph, start)
8888

8989
console.log("From '" + start + "' to")
9090
// display solutions
91-
for (var s in solutions) {
91+
for (const s in solutions) {
9292
if (!solutions[s]) continue
9393
console.log(' -> ' + s + ': [' + solutions[s].join(', ') + '] (dist:' + solutions[s].dist + ')')
9494
}
Lines changed: 31 additions & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,31 @@
1+
/*
2+
Modified from:
3+
https://github.com/TheAlgorithms/Python/blob/master/maths/binary_exp_mod.py
4+
5+
Explaination:
6+
https://en.wikipedia.org/wiki/Exponentiation_by_squaring
7+
*/
8+
9+
const modularBinaryExponentiation = (a, n, m) => {
10+
// input: a: int, n: int, m: int
11+
// returns: (a^n) % m: int
12+
if (n === 0) {
13+
return 1
14+
} else if (n % 2 === 1) {
15+
return (modularBinaryExponentiation(a, n - 1, m) * a) % m
16+
} else {
17+
const b = modularBinaryExponentiation(a, n / 2, m)
18+
return (b * b) % m
19+
}
20+
}
21+
22+
const main = () => {
23+
// binary_exponentiation(2, 10, 17)
24+
// > 4
25+
console.log(modularBinaryExponentiation(2, 10, 17))
26+
// binary_exponentiation(3, 9, 12)
27+
// > 3
28+
console.log(modularBinaryExponentiation(3, 9, 12))
29+
}
30+
31+
main()

Maths/PrimeCheck.js

Lines changed: 29 additions & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,29 @@
1+
/*
2+
Modified from:
3+
https://github.com/TheAlgorithms/Python/blob/master/maths/prime_check.py
4+
5+
Complexity:
6+
O(sqrt(n))
7+
*/
8+
9+
const PrimeCheck = (n) => {
10+
// input: n: int
11+
// output: boolean
12+
for (let i = 2; i * i <= n; i++) {
13+
if (n % i === 0) {
14+
return false
15+
}
16+
}
17+
return true
18+
}
19+
20+
const main = () => {
21+
// PrimeCheck(1000003)
22+
// > true
23+
console.log(PrimeCheck(1000003))
24+
// PrimeCheck(1000001)
25+
// > false
26+
console.log(PrimeCheck(1000001))
27+
}
28+
29+
main()

Maths/digitSum.js

Lines changed: 18 additions & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,18 @@
1+
// program to find sum of digits of a number
2+
3+
// function which would calculate sum and return it
4+
function digitSum (num) {
5+
// sum will store sum of digits of a number
6+
let sum = 0
7+
// while will run untill num become 0
8+
while (num) {
9+
sum += (num % 10)
10+
num = parseInt(num / 10)
11+
}
12+
13+
return sum
14+
}
15+
16+
// assigning number
17+
const num = 12345
18+
console.log(digitSum(num))

Recursive/TowerOfHanoi.js

Lines changed: 16 additions & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,16 @@
1+
// wiki - https://en.wikipedia.org/wiki/Tower_of_Hanoi
2+
// Recursive Javascript function to solve tower of hanoi
3+
4+
function TowerOfHanoi (n, fromRod, toRod, auxRod) {
5+
if (n === 1) {
6+
console.log(`Move disk 1 from rod ${fromRod} to rod ${toRod}`)
7+
return
8+
}
9+
TowerOfHanoi(n - 1, fromRod, auxRod, toRod)
10+
console.log(`Move disk ${n} from rod ${fromRod} to rod ${toRod}`)
11+
TowerOfHanoi(n - 1, auxRod, toRod, fromRod)
12+
}
13+
// Driver code
14+
const n = 4
15+
TowerOfHanoi(n, 'A', 'C', 'B')
16+
// A, C, B are the name of rods

0 commit comments

Comments
 (0)