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61 lines
2.2 KiB
Python
61 lines
2.2 KiB
Python
#Project Euler/Python/Problem16.py
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#Matthew Ellison
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# Created: 02-03-19
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#Modified: 03-28-19
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#What is the sum of the digits of the number 2^1000?
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#Unless otherwise listed, all of my non-standard imports can be gotten from my pyClasses repository at https://bitbucket.org/Mattrixwv/pyClasses
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"""
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Copyright (C) 2019 Matthew Ellison
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with this program. If not, see <https://www.gnu.org/licenses/>.
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"""
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from Stopwatch import Stopwatch
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def Problem16():
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#Setup the variables
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sumOfNum = 0 #Holds the sum of the numbers
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#Get the number
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num = 2 ** 1000
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#Change the number to a string
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stringOfNum = str(num)
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#Step through the string one element at a time
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for cnt in range(0, len(stringOfNum)):
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#Change the character to an int and add it to the sum
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sumOfNum += int(stringOfNum[cnt])
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#Print the result
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print("2^1000 = " + stringOfNum)
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print("The sum of the digits is: " + str(sumOfNum))
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#If you are running this file, automatically start the correct function
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if __name__ == "__main__":
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timer = Stopwatch() #Determines the algorithm's run time
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timer.start() #Start the timer
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Problem16() #Call the function that answers the question
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timer.stop() #Stop the timer
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#Print the results of the timer
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print("It took " + timer.getString() + " to run this algorithm")
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"""Results:
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2^1000 = 10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376
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The sum of the digits is: 1366
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It took 86.206 microseconds to run this algorithm
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"""
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