"""Sum square difference
Problem 6

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.
"""
n=101
sommeCarre = sum ([x*x for x in range(1,n)])
carreSomme = sum([x for x in range(1,n)])
carreSomme = carreSomme*carreSomme
print (str( - sommeCarre + carreSomme))
"""Sum square difference
Problem 6

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.
"""
n=101
sommeCarre = sum ([x*x for x in range(1,n)])
carreSomme = sum([x for x in range(1,n)])
carreSomme = carreSomme*carreSomme
print (str( - sommeCarre + carreSomme))
Sum square difference
 Problem 6
 
 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.