"""
Problem 6 Sum square difference
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_square_difference(num):
  sum_squares = sum(i ** 2 for i in range(1, num + 1))
  squared_sum = sum(range(1, num + 1)) ** 2

  return squared_sum - sum_squares

def main():
  print sum_square_difference(100)


if __name__ == '__main__':
  main()
