#ProjectEuler/Python/Problem6.py
#Matthew Ellison
# Created: 01-28-19
#Modified: 03-28-19
#Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum
#Unless otherwise listed, all of my non-standard imports can be gotten from my pyClasses repository at https://bitbucket.org/Mattrixwv/pyClasses
"""
	Copyright (C) 2019  Matthew Ellison

	This program is free software: you can redistribute it and/or modify
	it under the terms of the GNU Lesser General Public License as published by
	the Free Software Foundation, either version 3 of the License, or
	(at your option) any later version.

	This program is distributed in the hope that it will be useful,
	but WITHOUT ANY WARRANTY; without even the implied warranty of
	MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
	GNU Lesser General Public License for more details.

	You should have received a copy of the GNU Lesser General Public License
	along with this program.  If not, see <https://www.gnu.org/licenses/>.
"""


from Stopwatch import Stopwatch		#To time the algorithm


def Problem6():
	#Setup the variables
	sumOfSquares = 0	#Holds the sum of the square of the numbers
	squareOfSum = 0		#Holds the square of the sum of the numbers

	#Run through all numbers from 1-100 and add them to the approriate sums
	for num in range(1, 101):
		sumOfSquares += num * num	#Get the sum of the squares of the first 100 natural numbers
		squareOfSum += num			#Get the sum of the first 100 natural numbers so you can square it later

	#Square the normal sum
	squareOfSum *= squareOfSum

	#Print the result
	print("The difference between the sum of the squares and the square of the sum of the numbers 1-100 is " + str(abs(sumOfSquares - squareOfSum)))

#If you are running this file, automatically start the correct function
if __name__ == '__main__':
	timer = Stopwatch()	#Determines the algorithm's run time
	timer.start()	#Start the timer
	Problem6()		#Call the function that answers the question
	timer.stop()	#Stop the timer
	#Print the results of the timer
	print("It took " + timer.getString() + " to run this algorithm")

"""Results:
The difference between the sum of the squares and the square of the sum of the numbers 1-100 is 25164150
It took 24.384 microseconds to run this algorithm
"""