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Update AllCombinationsOfSizeK.js (#1530)
* Update AllCombinationsOfSizeK.js * Update AllCombinationsOfSizeK.js * Update AllCombinationsOfSizeK.test.js Changes made it the type of testing. Instead of testing the class now the program will test the function * Update AllCombinationsOfSizeK.js * Update AllCombinationsOfSizeK.js * Update AllCombinationsOfSizeK.js * Update AllCombinationsOfSizeK.test.js * Update AllCombinationsOfSizeK.test.js
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@ -1,46 +1,28 @@
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/*
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Problem: Given two numbers, n and k, make all unique combinations of k numbers from 1 to n and in sorted order
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function generateCombinations(n, k) {
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let currentCombination = []
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let allCombinations = [] // will be used for storing all combinations
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let currentValue = 1
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What is combinations?
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- Combinations is selecting items from a collections without considering the order of selection
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Example:
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- We have an apple, a banana, and a jackfruit
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- We have three objects, and need to choose two items, then combinations will be
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1. Apple & Banana
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2. Apple & Jackfruit
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3. Banana & Jackfruit
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To read more about combinations, you can visit the following link:
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- https://betterexplained.com/articles/easy-permutations-and-combinations/
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Solution:
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- We will be using backtracking to solve this questions
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- Take one element, and make all them combinations for k-1 elements
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- Once we get all combinations of that element, pop it and do same for next element
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*/
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class Combinations {
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constructor(n, k) {
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this.n = n
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this.k = k
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this.current = [] // will be used for storing current combination
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this.combinations = []
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function findCombinations() {
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if (currentCombination.length === k) {
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// Add the array of size k to the allCombinations array
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allCombinations.push([...currentCombination])
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return
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}
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if (currentValue > n) {
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// Check for exceeding the range
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return
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}
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currentCombination.push(currentValue++)
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findCombinations()
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currentCombination.pop()
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findCombinations()
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currentValue--
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}
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findCombinations(high = this.n, total = this.k, low = 1) {
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if (total === 0) {
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this.combinations.push([...this.current])
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return this.combinations
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}
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for (let i = low; i <= high; i++) {
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this.current.push(i)
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this.findCombinations(high, total - 1, i + 1)
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this.current.pop()
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}
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return this.combinations
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}
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findCombinations()
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return allCombinations
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}
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export { Combinations }
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export { generateCombinations }
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@ -1,9 +1,9 @@
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import { Combinations } from '../AllCombinationsOfSizeK'
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import { generateCombinations } from '../AllCombinationsOfSizeK'
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describe('AllCombinationsOfSizeK', () => {
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it('should return 3x2 matrix solution for n = 3 and k = 2', () => {
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const test1 = new Combinations(3, 2)
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expect(test1.findCombinations()).toEqual([
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const res = generateCombinations(3, 2)
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expect(res).toEqual([
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[1, 2],
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[1, 3],
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[2, 3]
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@ -11,8 +11,8 @@ describe('AllCombinationsOfSizeK', () => {
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})
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it('should return 6x2 matrix solution for n = 4 and k = 2', () => {
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const test2 = new Combinations(4, 2)
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expect(test2.findCombinations()).toEqual([
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const res = generateCombinations(4, 2)
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expect(res).toEqual([
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[1, 2],
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[1, 3],
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[1, 4],
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