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14 changes: 11 additions & 3 deletions Project-Euler/Problem044.js
Original file line number Diff line number Diff line change
Expand Up @@ -22,9 +22,17 @@ function problem44(k) {

for (let j = k - 1; j > 0; j--) {
const m = (j * (3 * j - 1)) / 2 // calculate all Pj < Pk
if (isPentagonal(n - m) && isPentagonal(n + m)) {
// Check sum and difference
return n - m // return D
// Check forward, checking n - m doubles work from previous iterations
const sum = n + m
if (isPentagonal(sum)) {
// Check sum - m = n
if (isPentagonal(sum + m)) {
return n // return D
}
// Check sum - n = m
if (isPentagonal(sum + n)) {
return m // return D
}
}
}
}
Expand Down
11 changes: 4 additions & 7 deletions Project-Euler/test/Problem044.test.js
Original file line number Diff line number Diff line change
@@ -1,18 +1,15 @@
import { problem44 } from '../Problem044.js'

describe('checking nth prime number', () => {
describe('Project Euler 044 - Pentagon numbers', () => {
test('should be invalid input if number is negative', () => {
expect(() => problem44(-3)).toThrowError('Invalid Input')
})

test('should be invalid input if number is 0', () => {
expect(() => problem44(0)).toThrowError('Invalid Input')
})
// Project Euler Condition Check
test('if the number is greater or equal to 1', () => {

test('solves the problem', () => {
expect(problem44(1)).toBe(5482660)
})
// Project Euler Second Value for Condition Check
test('if the number is greater or equal to 2167', () => {
expect(problem44(2167)).toBe(8476206790)
})
})