diff --git a/Maths/JugglerSequence.js b/Maths/JugglerSequence.js new file mode 100644 index 000000000..96a2a3515 --- /dev/null +++ b/Maths/JugglerSequence.js @@ -0,0 +1,24 @@ +/* + * 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 } diff --git a/Maths/test/JugglerSequence.test.js b/Maths/test/JugglerSequence.test.js new file mode 100644 index 000000000..392047a95 --- /dev/null +++ b/Maths/test/JugglerSequence.test.js @@ -0,0 +1,21 @@ +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]) + ) + }) +})