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24 changes: 24 additions & 0 deletions Maths/JugglerSequence.js
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/*
* Juggler Sequence: https://en.wikipedia.org/wiki/Juggler_sequence
* function jugglerSequence
* Juggler Sequence is a series of integer number in which the first term starts with a positive integer number n
* and the remaining terms are generated from the immediate previous term using the recurrence relation
* Produce Juggler Sequence using number n as the first term of the sequence and store in an array
* Reference: https://www.geeksforgeeks.org/juggler-sequence/
* jugglerSequence(3) // returns [3, 5, 11, 36, 6, 2, 1 ]
* jugglerSequence(9) // returns [9, 27, 140, 11, 36, 6, 2, 1]
* jugglerSequence(15) // returns [15, 58, 7, 18, 4, 2, 1]
*/

function jugglerSequence (n) {
const sequence = []
sequence.push(n)
// Calculate terms until last term is not 1
while (n !== 1) {
n = Math.floor(n ** ((n % 2) + 0.5))
sequence.push(n)
}
return sequence
}

export { jugglerSequence }
21 changes: 21 additions & 0 deletions Maths/test/JugglerSequence.test.js
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import { jugglerSequence } from '../JugglerSequence'

describe('Testing jugglerSequence function', () => {
it('should return [3, 5, 11, 36, 6, 2, 1 ] if the number is 3', () => {
expect(jugglerSequence(3)).toEqual(
expect.arrayContaining([3, 5, 11, 36, 6, 2, 1])
)
})

it('should return [9, 27, 140, 11, 36, 6, 2, 1] if the number is 9', () => {
expect(jugglerSequence(9)).toEqual(
expect.arrayContaining([9, 27, 140, 11, 36, 6, 2, 1])
)
})

it('should return [15, 58, 7, 18, 4, 2, 1] if the number is 15', () => {
expect(jugglerSequence(15)).toEqual(
expect.arrayContaining([15, 58, 7, 18, 4, 2, 1])
)
})
})