In [20]:

    

"""
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.
"""

def findSquareOfSum(x):
    """Returns the sum of squares of numbers from 0 up to x."""
    return sum([y * y for y in range(x+1)])

def findSumOfSquares(x):
    """Returns the square of the sum of numbers from 0 up to x."""
    return sum(range(x+1))**2

def findDiffenrence(x):
    """Returns the difference between the sum of squares and the square of the sum for numbers between 0 and x."""
    return findSumOfSquares(x)-findSquareOfSum(x)


    

In [21]:

    

findSumOfSquares(10)


    

    
Out[21]:





3025

In [22]:

    

findSquareOfSum(10)


    

    
Out[22]:





385

In [24]:

    

findDiffenrence(100)


    

    
Out[24]:





25164150