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to Difference Of Squares in the Swift Track

Published at Nov 24 2020 · 0 comments
Test suite

Find the difference between the square of the sum and the sum of the squares of the first N natural numbers.

The square of the sum of the first ten natural numbers is (1 + 2 + ... + 10)² = 55² = 3025.

The sum of the squares of the first ten natural numbers is 1² + 2² + ... + 10² = 385.

Hence the difference between the square of the sum of the first ten natural numbers and the sum of the squares of the first ten natural numbers is 3025 - 385 = 2640.


Go through the project setup instructions for Xcode using Swift:


Notably from the source directory:

swift test runs tests
swift package generate-xcodeproj creates an Xcode project


Problem 6 at Project Euler http://projecteuler.net/problem=6

Submitting Incomplete Solutions

It's possible to submit an incomplete solution so you can see how others have completed the exercise.


import XCTest
@testable import DifferenceOfSquares

class DifferenceOfSquaresTests: XCTestCase {

    func testSquareOfSumTo5() {
        XCTAssertEqual(225, Squares(5).squareOfSum)

    func testSumOfSquaresTo5() {
        XCTAssertEqual(55, Squares(5).sumOfSquares)

    func testDifferenceOfSquaresOfSumTo5() {
        XCTAssertEqual(170, Squares(5).differenceOfSquares)

    func testSquareOfSumTo10() {
        XCTAssertEqual(3025, Squares(10).squareOfSum)

    func testSumOfSquaresTo10() {
        XCTAssertEqual(385, Squares(10).sumOfSquares)

    func testDifferenceOfSquaresOfSumTo10() {
        XCTAssertEqual(2640, Squares(10).differenceOfSquares)

    func testSquareOfSumTo100() {
        XCTAssertEqual(25_502_500, Squares(100).squareOfSum)

    func testSumOfSquaresTo100() {
        XCTAssertEqual(338_350, Squares(100).sumOfSquares)

    func testDifferenceOfSquaresOfSumTo100() {
        XCTAssertEqual(25_164_150, Squares(100).differenceOfSquares)

    static var allTests: [(String, (DifferenceOfSquaresTests) -> () throws -> Void)] {
        return [
            ("testSquareOfSumTo5", testSquareOfSumTo5),
            ("testSumOfSquaresTo5", testSumOfSquaresTo5),
            ("testDifferenceOfSquaresOfSumTo5", testDifferenceOfSquaresOfSumTo5),
            ("testSquareOfSumTo10", testSquareOfSumTo10),
            ("testSumOfSquaresTo10", testSumOfSquaresTo10),
            ("testDifferenceOfSquaresOfSumTo10", testDifferenceOfSquaresOfSumTo10),
            ("testSquareOfSumTo100", testSquareOfSumTo100),
            ("testSumOfSquaresTo100", testSumOfSquaresTo100),
            ("testDifferenceOfSquaresOfSumTo100", testDifferenceOfSquaresOfSumTo100),


import XCTest
@testable import DifferenceOfSquaresTests

//Solution goes in Sources

func square(_ n: Int) -> Int {
    n * n

public class Squares {
    let squareOfSum: Int
    let sumOfSquares: Int
    let differenceOfSquares: Int

    init(_ n: Int) {
        let numbers = (1...n).lazy
        sumOfSquares = numbers.map(square).reduce(0, +)
        squareOfSum = square(numbers.reduce(0, +))
        differenceOfSquares = squareOfSum - sumOfSquares

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