text: #Project Euler 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 sqaure 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 square_of_sum(num, summation=0):
      while num >=1:
          summation += num
          num -=1
      return summation**2
  
  def sum_of_squares(num, summation=0):
      while num >=1:
          summation += num**2
          num -=1
      return summation
  
  
  def dif_sqsum_sumsq(num):
      return square_of_sum(num) - sum_of_squares(num)
  
  print dif_sqsum_sumsq(100)
      
  