# Difference Of Squares

Easy

12

62.7% Acceptance

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.

You are not expected to discover an efficient solution to this yourself from

first principles; research is allowed, indeed, encouraged. Finding the best

algorithm for the problem is a key skill in software engineering.