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feat: Add algorithm and tests for Project Euler Problem 29 (Distinct Powers) #1776

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feat: Add algorithm and tests for Project Euler Problem 29 (Distinct Powers) #1776

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feat: add distinctPowers function with test cases (Problem029)

zeal-2004 May 24, 2025

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17 changes: 17 additions & 0 deletions Project-Euler/Problem029.js

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		@@ -0,0 +1,17 @@
	// https://projecteuler.net/problem=29

	/*
	How many distinct terms are in the sequence generated by a^b for 2 <= a <= 100 and 2 <= b <= 100?
	*/

	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
	}

17 changes: 17 additions & 0 deletions Project-Euler/test/Problem029.test.js

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	import { distinctPowers } from '../Problem029'

	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', () => {
Copy link Contributor @pertrai1 pertrai1 Sep 3, 2025 Choose a reason for hiding this comment The reason will be displayed to describe this comment to others. Learn more. Why not use it rather than test? Copy link Author @zeal-2004 zeal-2004 Sep 3, 2025 Choose a reason for hiding this comment The 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?
	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)
	})
	})

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