"""
The sum of the squares of the first ten natural numbers is,

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

(1 + 2 + ... + 10)2 = 552 = 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.
"""

def sum_of_squares(n):
    sum = 0

    for i in range(1,n+1):
        sum += i**2
    return sum

def square_of_sum(n):
    sum = 0

    for i in range(1,n+1):
        sum += i
    return sum**2

difference_10 = square_of_sum(10) - sum_of_squares(10)
difference_100 = square_of_sum(100) - sum_of_squares(100)
print("difference of the first ten natural numbers is: {}" .format(difference_10))
print("difference of the first ten natural numbers is: {}" .format(difference_100))