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121 lines
4.6 KiB
Python
121 lines
4.6 KiB
Python
#ProjectEuler/Python/Problem30.py
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#Matthew Ellison
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# Created: 10-28-19
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#Modified: 07-19-20
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#Find the sum of all the numbers that can be written as the sum of the fifth powers of their digits.
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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 Problem30(Problem):
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#Setup the variables
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__topNum = 1000000 #This is the largest number that will be checked
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__bottomNum = 2 #Starts with 2 because 0 and 1 don't count
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__powerRaised = 5 #This is the power that the digits are raised to
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#Functions
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#Constructor
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def __init__(self):
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super().__init__("Find the sum of all the numbers that can be written as the sum of the fifth powers of their digits.")
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self.sumOfFifthNumbers = [] #This is an ArrayList of the numbers that are the sum of the fifth power of their digits
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#Operational function
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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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#Start with the lowest number and increment until you reach the largest number
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for currentNum in range(self.__bottomNum, self.__topNum):
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#Get the digits of the number
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digits = self.getDigits(currentNum)
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#Get the sum of the powers
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sumOfPowers = 0
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for cnt in range(0, len(digits)):
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sumOfPowers += digits[cnt]**self.__powerRaised
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#Check if the sum of the powers is the same as the number
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#If it is add it to the list, otherwise continue to the next number
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if(sumOfPowers == currentNum):
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self.sumOfFifthNumbers.append(currentNum)
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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 = "The sum of all the numbers that can be written as the sum of the fifth powers of their digits is " + str(sum(self.sumOfFifthNumbers))
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#Throw a flag to show the problem is solved
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self.solved = True
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#Returns a list with the individual digits of the number passed to it
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def getDigits(self, num: int) -> list:
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listOfDigits = [] #This list holds the individual digits of num
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#The easiest way to get the individual digits of a number is by converting it to a string
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digits = str(num)
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#Start with the first digit, convert it to an integer, store it in the list, and move to the next digit
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for cnt in range(0, len(digits)):
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listOfDigits.append(int(digits[cnt]))
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#Return the list of digits
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return listOfDigits
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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.sumOfFifthNumbers.clear()
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#Gets
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#Returns the top number to be checked
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def getTopNum(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 can you see the top number")
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return self.__topNum
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#Returns a copy of the vector holding all the number that are the sum of the fifth powers of their digits
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def getListOfSumsOfFifths(self) -> list:
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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 can you see the list")
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return self.sumOfFifthNumbers
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#Returns the sum of all entries in sumOfFifthNumbers
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def getSumOfList(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 can you see the sum of the list")
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return sum(self.sumOfFifthNumbers)
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#This calls the appropriate functions if the script is called stand alone
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if __name__ == "__main__":
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problem = Problem30()
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print(problem.getDescription()) #Print the description
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problem.solve() #Call the function that answers 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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The sum of all the numbers that can be written as the sum of the fifth powers of their digits is 443839
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It took 3.284 seconds to run this algorithm
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"""
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