Euler Project #6: Difference of Square of Sums and Sum of Squares

The sum of the squares of the first ten natural numbers is, 1^2 + 2^2 + … + 10^2 = 385

The square of the sum of the first ten natural numbers is, (1 + 2 + … + 10)^2 = 55^2 = 3025

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

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

// sumOfSquares: 338350
// squareOfSums: 25502500
// diff: 25164150

var sumOfSquares = 0
var squareOfSums = 0

for x in 1...100
{
    sumOfSquares += x*x
    squareOfSums += x
}

sumOfSquares
squareOfSums *= squareOfSums

let diff = squareOfSums - sumOfSquares

 

Tags: ,

LEAVE A REPLY