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57 lines
2.3 KiB
Python
57 lines
2.3 KiB
Python
#ProjectEuler/Python/Problem6.py
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#Matthew Ellison
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# Created: 01-28-19
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#Modified: 03-28-19
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#Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum
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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 #To time the algorithm
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def Problem6():
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#Setup the variables
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sumOfSquares = 0 #Holds the sum of the square of the numbers
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squareOfSum = 0 #Holds the square of the sum of the numbers
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#Run through all numbers from 1-100 and add them to the approriate sums
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for num in range(1, 101):
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sumOfSquares += num * num #Get the sum of the squares of the first 100 natural numbers
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squareOfSum += num #Get the sum of the first 100 natural numbers so you can square it later
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#Square the normal sum
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squareOfSum *= squareOfSum
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#Print the result
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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)))
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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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Problem6() #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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The difference between the sum of the squares and the square of the sum of the numbers 1-100 is 25164150
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It took 24.384 microseconds to run this algorithm
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"""
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