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Problem16.py

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+#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
+"""