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48 changes: 48 additions & 0 deletions Project-Euler/Problem019.js
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/**
* Problem 19 - Counting Sundays
*
* @see {@link https://projecteuler.net/problem=19}
*
* You are given the following information, but you may prefer to do some research for yourself.
* 1 Jan 1900 was a Monday.
* Thirty days has September,
* April, June and November.
* All the rest have thirty-one,
* Saving February alone,
* Which has twenty-eight, rain or shine.
* And on leap years, twenty-nine.
* A leap year occurs on any year evenly divisible by 4, but not on a century unless it is divisible by 400.
* How many Sundays fell on the first of the month during the twentieth century (1 Jan 1901 to 31 Dec 2000)?
*
* @author ddaniel27
*/
import { isLeapYear } from '../Maths/LeapYear'

function problem19() {
let sundaysCount = 0 // Count of Sundays
let dayOfWeek = 2 // 1st Jan 1900 was a Monday, so 1st Jan 1901 was a Tuesday

for (let year = 1901; year <= 2000; year++) {
for (let month = 1; month <= 12; month++) {
if (dayOfWeek === 0) {
// If it's a Sunday (0 is Sunday, 1 is Monday, ..., 6 is Saturday)
sundaysCount++
}

let daysInMonth = 31
if (month === 4 || month === 6 || month === 9 || month === 11) {
// April, June, September, November
daysInMonth = 30
} else if (month === 2) {
// February
daysInMonth = isLeapYear(year) ? 29 : 28
}

dayOfWeek = (dayOfWeek + daysInMonth) % 7 // Calculate the day of the week
}
}

return sundaysCount
}

export { problem19 }
8 changes: 8 additions & 0 deletions Project-Euler/test/Problem019.test.js
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import { problem19 } from '../Problem019.js'

describe('checking sundays during the twentieth century', () => {
// Project Euler Challenge Check
test('result should be 171', () => {
expect(problem19()).toBe(171)
})
})