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.
main.ts
import { range } from "../util/util.ts"
import { sum, square } from "../util/util.ts"
import { differenceOfFns } from "../util/functional.ts"
type Range = {
start: number,
end: number
}
function squareOfSum(r: Range): number {
return square(range(r.start, r.end).reduce(sum))
}
function sumOfSquares(r: Range): number {
return range(r.start, r.end).map(square).reduce(sum)
}
function main() {
const result = differenceOfFns(
squareOfSum, sumOfSquares,
{ start: 1, end: 10 }) //?
console.log(result)
}
main();