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