#Project Euler/Python/Problem16.py
#Matthew Ellison
# Created: 02-03-19
#Modified: 03-28-19
#What is the sum of the digits of the number 2^1000?
#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


def Problem16():
	#Setup the variables
	sumOfNum = 0	#Holds the sum of the numbers
	#Get the number
	num = 2 ** 1000

	#Change the number to a string
	stringOfNum = str(num)

	#Step through the string one element at a time
	for cnt in range(0, len(stringOfNum)):
		#Change the character to an int and add it to the sum
		sumOfNum += int(stringOfNum[cnt])

	#Print the result
	print("2^1000 = " + stringOfNum)
	print("The sum of the digits is: " + str(sumOfNum))

#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
	Problem16()		#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:
2^1000 = 10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376
The sum of the digits is: 1366
It took 86.206 microseconds to run this algorithm
"""