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103 lines
3.3 KiB
Python
103 lines
3.3 KiB
Python
#ProjectEuler/Python/Problem20.py
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#Matthew Ellison
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# Created: 03-14-19
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#Modified: 07-19-20
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#What is the sum of the digits of 100!
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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) 2020 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 Problems.Problem import Problem
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from Stopwatch import Stopwatch
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from Unsolved import Unsolved
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class Problem20(Problem):
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#Variables
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__top_num = 100 #The number that you are trying to find the factorial of
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#Functions
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#Constructor
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def __init__(self):
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super().__init__("What is the sum of the digits of 100!?")
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self.num = 1 #Holds the number 100!
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self.sum = 0 #The sum of the digts of num
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#Operational functions
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#Solve the problem
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def solve(self):
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#If the problem has already been solved do nothing and end the function
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if(self.solved):
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return
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#Start the timer
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self.timer.start()
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#Run through every number from 1 to 100 and multiply it by the current num to get 100!
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for cnt in range(1, self.__top_num + 1):
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self.num *= cnt
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#Get a string of the number because it is easier to pull appart the individual charaters for the sum
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numString = str(self.num)
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#Run through every character in the string, convert it back to an integer and add it to the running sum
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for char in numString:
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self.sum += int(char)
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#Stop the timer
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self.timer.stop()
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#Save the results
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self.result = "100! = " + numString + "\nThe sum of the digits is: " + str(self.sum)
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#Throw a flag to show the problem is solved
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self.solved = True
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#Reset the problem so it can be run again
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def reset(self):
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super().reset()
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self.num = 1
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self.sum = 0
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#Gets
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#Returns the number 100!
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def getNumber(self) -> int:
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#If the problem hasn't been solved throw an exception
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if(not self.solved):
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raise Unsolved("You must solve the problem before you can get the number")
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return self.num
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#Returns the sum of the digits of 100!
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def getSum(self) -> int:
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#If the problem hasn't been solved throw an exception
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if(not self.solved):
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raise Unsolved("You must solve the problem before you can get the sum")
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return self.sum
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#This starts the correct function if called directly
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if __name__ == "__main__":
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problem = Problem20()
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print(problem.getDescription()) #Print the description of the problem
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problem.solve() #Solve the problem
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#Print the results
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print(problem.getResult())
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print("It took " + problem.getTime() + " to solve this algorithm")
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""" Results:
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100! = 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000
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The sum of the digits is: 648
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It took 99.670 microseconds to run this algorithm
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"""
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