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feat: Add algorithm and tests for Project Euler Problem 29 (Distinct Powers) #1776
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| // https://projecteuler.net/problem=29 | ||
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| /* | ||
| How many distinct terms are in the sequence generated by a^b for 2 <= a <= 100 and 2 <= b <= 100? | ||
| */ | ||
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| export const distinctPowers = (limit = 100) => { | ||
| if (limit < 2) throw new Error('Power out of scope') | ||
| // A Set data structure to keep track of distinct powers | ||
| let distinctPowerSet = new Set() | ||
| for (let a = 2; a <= limit; a++) { | ||
| for (let b = 2; b <= limit; b++) { | ||
| distinctPowerSet.add(Math.pow(a, b)) | ||
| } | ||
| } | ||
| return distinctPowerSet.size | ||
| } |
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| import { distinctPowers } from '../Problem029' | ||
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| describe('Distinct numbers of a ^ b where a and b in range [2,100]', () => { | ||
| it('should throw error when number is less than 2', () => { | ||
| expect(() => distinctPowers(0)).toThrowError('Power out of scope') | ||
| }) | ||
| it('should throw error when number is negative', () => { | ||
| expect(() => distinctPowers(-3)).toThrowError('Power out of scope') | ||
| }) | ||
| test('if the number is greater than or equal to 2', () => { | ||
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There was a problem hiding this comment. Choose a reason for hiding this commentThe reason will be displayed to describe this comment to others. Learn more. Why not use it rather than test? There was a problem hiding this comment. Choose a reason for hiding this commentThe reason will be displayed to describe this comment to others. Learn more. I'm sorry, I don't understand your question. Could you be more specific? There was a problem hiding this comment. Choose a reason for hiding this commentThe reason will be displayed to describe this comment to others. Learn more. I see a couple usages of it(...) and now a couple using test(...). So I wondered why the different usage? There was a problem hiding this comment. Choose a reason for hiding this commentThe reason will be displayed to describe this comment to others. Learn more. I referred to other test files for different questions while writing this code and they had this format. I have followed the same as per the documentation. |
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| expect(distinctPowers(5)).toBe(15) | ||
| }) | ||
| // Project Euler Condition Check | ||
| test('if the number is greater than or equal to 2', () => { | ||
| expect(distinctPowers(100)).toBe(9183) | ||
| }) | ||
| }) | ||