In math, the order of operations can completely change the result: you can square each number first, or add the numbers first and then square the sum. Write a function sum_square_difference that finds the difference between the square of the sum and the sum of the squares for the first n natural numbers. For example, for numbers from 1 to 10, compare (1 + 2 + ... + 10)^2 with 1^2 + 2^2 + ... + 10^2.

def sum_square_difference(n: int) -> int: