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Find max recursion #1008

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Exortions wants to merge 3 commits into TheAlgorithms:master from Exortions:find-max-recursion
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38 changes: 38 additions & 0 deletions Maths/FindMaxRecursion.js
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Original file line number Diff line number Diff line change
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/**
* @function findMaxRecursion
* @description This algorithm will find the maximum value of a array of numbers.
*
* @param {Integer[]} arr Array of numbers
* @param {Integer} left Index of the first element
* @param {Integer} right Index of the last element
*
* @return {Integer} Maximum value of the array
*
* @see [Maximum value](https://en.wikipedia.org/wiki/Maximum_value)
*
* @example findMaxRecursion([1, 2, 4, 5]) = 5
* @example findMaxRecursion([10, 40, 100, 20]) = 100
* @example findMaxRecursion([-1, -2, -4, -5]) = -1
*/
function findMaxRecursion(arr, left, right) {
const len = arr.length

if (len === 0 || !arr) return undefined

if (left >= len || left < -len || right >= len || right < -len)
throw new Error('Index out of range')

if (left === right) return arr[left]

// left + right shifted is the middle index
const mid = (left + right) >> 1
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@appgurueu appgurueu May 8, 2022

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please explain this as x >> y == floor(x / pow(2, y))


// Find the maximum of left and right
const leftMax = findMaxRecursion(arr, left, mid)
const rightMax = findMaxRecursion(arr, mid + 1, right)

// Return the maximum
return Math.max(leftMax, rightMax)
}

export { findMaxRecursion }
58 changes: 58 additions & 0 deletions Maths/test/FindMaxRecursion.test.js
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import { findMaxRecursion } from '../FindMaxRecursion'

describe('Test findMaxRecursion function', () => {
const positiveAndNegativeArray = [1, 2, 4, 5, -1, -2, -4, -5]
const positiveAndNegativeArray1 = [10, 40, 100, 20, -10, -40, -100, -20]

const positiveArray = [1, 2, 4, 5]
const positiveArray1 = [10, 40, 100, 20]

const negativeArray = [-1, -2, -4, -5]
const negativeArray1 = [-10, -40, -100, -20]

const zeroArray = [0, 0, 0, 0]
const emptyArray = []

it('Testing with positive arrays', () => {
expect(findMaxRecursion(positiveArray, 0, positiveArray.length - 1)).toBe(5)
expect(findMaxRecursion(positiveArray1, 0, positiveArray1.length - 1)).toBe(
100
)
})

it('Testing with negative arrays', () => {
expect(findMaxRecursion(negativeArray, 0, negativeArray.length - 1)).toBe(
-1
)
expect(findMaxRecursion(negativeArray1, 0, negativeArray1.length - 1)).toBe(
-10
)
})

it('Testing with positive and negative arrays', () => {
expect(
findMaxRecursion(
positiveAndNegativeArray,
0,
positiveAndNegativeArray.length - 1
)
).toBe(5)
expect(
findMaxRecursion(
positiveAndNegativeArray1,
0,
positiveAndNegativeArray1.length - 1
)
).toBe(100)
})

it('Testing with zero arrays', () => {
expect(findMaxRecursion(zeroArray, 0, zeroArray.length - 1)).toBe(0)
})

it('Testing with empty arrays', () => {
expect(findMaxRecursion(emptyArray, 0, emptyArray.length - 1)).toBe(
undefined
)
})
})
25 changes: 25 additions & 0 deletions Search/test/YoutubeVideoAssociation.test.js
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import AssociationAlgorithm from '../YoutubeVideoAssociation'
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@raklaptudirm raklaptudirm May 8, 2022

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Remove these changes from here.


describe('Youtube Video Association Algorithm', () => {
const search = {
video: {
id: 'dQw4w9WgXcQ',
views: '100'
},
search: {
query: 'Rick Roll'
}
}

const algorithm = new AssociationAlgorithm(10)

test('The video should not be associated after one search', () => {
algorithm.search(search)

expect(algorithm.isVideoAssociated('dQw4w9WgXcQ', 'Rick Roll')).toBe(false)
})

test('The video should be associated after 11 searches', () => {
for (let i = 0; i < 10; i++) algorithm.search(search)
})
})

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