mirror of
https://bitbucket.org/Mattrixwv/projecteulerpython.git
synced 2025-12-06 17:43:58 -05:00
111 lines
4.2 KiB
Python
111 lines
4.2 KiB
Python
#ProjectEuler/Python/Problem30.py
|
|
#Matthew Ellison
|
|
# Created: 10-28-19
|
|
#Modified: 07-24-21
|
|
#Find the sum of all the numbers that can be written as the sum of the fifth powers of their digits.
|
|
#Unless otherwise listed, all of my non-standard imports can be gotten from my pyClasses repository at https://bitbucket.org/Mattrixwv/pyClasses
|
|
"""
|
|
Copyright (C) 2021 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 Problems.Problem import Problem
|
|
|
|
|
|
class Problem30(Problem):
|
|
#Setup the variables
|
|
__topNum = 1000000 #This is the largest number that will be checked
|
|
__bottomNum = 2 #Starts with 2 because 0 and 1 don't count
|
|
__powerRaised = 5 #This is the power that the digits are raised to
|
|
|
|
#Functions
|
|
#Constructor
|
|
def __init__(self) -> None:
|
|
super().__init__("Find the sum of all the numbers that can be written as the sum of the fifth powers of their digits.")
|
|
self.sumOfFifthNumbers = [] #This is an ArrayList of the numbers that are the sum of the fifth power of their digits
|
|
self.sum = 0 #This is the sum of the sumOfFifthNumbers list
|
|
|
|
#Operational function
|
|
#Solve the problem
|
|
def solve(self) -> None:
|
|
#If the problem has already been solved do nothing and end the function
|
|
if(self.solved):
|
|
return
|
|
|
|
#Start the timer
|
|
self.timer.start()
|
|
|
|
|
|
#Start with the lowest number and increment until you reach the largest number
|
|
for currentNum in range(self.__bottomNum, self.__topNum):
|
|
#Get the digits of the number
|
|
digits = self.getDigits(currentNum)
|
|
#Get the sum of the powers
|
|
sumOfPowers = 0
|
|
for cnt in range(0, len(digits)):
|
|
sumOfPowers += digits[cnt]**self.__powerRaised
|
|
#Check if the sum of the powers is the same as the number
|
|
#If it is add it to the list, otherwise continue to the next number
|
|
if(sumOfPowers == currentNum):
|
|
self.sumOfFifthNumbers.append(currentNum)
|
|
|
|
|
|
#Stop the timer
|
|
self.timer.stop()
|
|
|
|
#Throw a flag to show the problem is solved
|
|
self.solved = True
|
|
|
|
#Returns a list with the individual digits of the number passed to it
|
|
def getDigits(self, num: int) -> list:
|
|
listOfDigits = [] #This list holds the individual digits of num
|
|
#The easiest way to get the individual digits of a number is by converting it to a string
|
|
digits = str(num)
|
|
#Start with the first digit, convert it to an integer, store it in the list, and move to the next digit
|
|
for cnt in range(0, len(digits)):
|
|
listOfDigits.append(int(digits[cnt]))
|
|
#Return the list of digits
|
|
return listOfDigits
|
|
|
|
#Reset the problem so it can be run again
|
|
def reset(self) -> None:
|
|
super().reset()
|
|
self.sumOfFifthNumbers.clear()
|
|
|
|
#Gets
|
|
#Returns the result of solving the problem
|
|
def getResult(self) -> str:
|
|
self.solvedCheck("result")
|
|
return f"The sum of all the numbers that can be written as the sum of the fifth powers of their digits is {sum(self.sumOfFifthNumbers)}"
|
|
#Returns the top number to be checked
|
|
def getTopNum(self) -> int:
|
|
self.solvedCheck("largest number checked")
|
|
return self.__topNum
|
|
#Returns a copy of the vector holding all the number that are the sum of the fifth powers of their digits
|
|
def getListOfSumsOfFifths(self) -> list:
|
|
self.solvedCheck("list of all numbers that are the sum of the 5th power of their digits")
|
|
return self.sumOfFifthNumbers
|
|
#Returns the sum of all entries in sumOfFifthNumbers
|
|
def getSumOfList(self) -> int:
|
|
self.solvedCheck("sum of all numbers that are the sum of the 5th power of their digits")
|
|
return sum(self.sumOfFifthNumbers)
|
|
|
|
|
|
""" Results:
|
|
The sum of all the numbers that can be written as the sum of the fifth powers of their digits is 443839
|
|
It took an average of 4.068 seconds to run this problem through 100 iterations
|
|
"""
|