May 24, 2025
diff --git a/Project-Euler/Problem029.js b/Project-Euler/Problem029.js
 // 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
 }
diff --git a/Project-Euler/test/Problem029.test.js b/Project-Euler/test/Problem029.test.js
 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', () => {
    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)
  })
 })
Original file line number	Diff line number	Diff line change
		@@ -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
		}
Original file line number	Diff line number	Diff line change
		@@ -0,0 +1,17 @@
		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', () => {
		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)
		})
		})