Added solution for problem 35

This commit is contained in:
2021-06-06 12:19:15 -04:00
parent db8e824896
commit 38803dd7f1
4 changed files with 128 additions and 4 deletions

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@@ -34,7 +34,7 @@ class Benchmark:
exit = 4
size = 5
__tooLong = [3, 5, 10, 12, 14, 15, 23, 24, 25, 27, 30, 34, 67]
__tooLong = [3, 5, 10, 12, 14, 15, 23, 24, 25, 27, 30, 34, 35, 67]
#The driver function for the benchmark selection
@staticmethod

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@@ -56,6 +56,7 @@ from Problems.Problem31 import Problem31
from Problems.Problem32 import Problem32
from Problems.Problem33 import Problem33
from Problems.Problem34 import Problem34
from Problems.Problem35 import Problem35
from Problems.Problem67 import Problem67
@@ -64,7 +65,7 @@ class ProblemSelection:
problemNumbers = [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,
11, 12, 13, 14, 15, 16, 17, 18, 19, 20,
21, 22, 23, 24, 25, 26, 27, 28, 29, 30,
31, 32, 33, 34, 67]
31, 32, 33, 34, 35, 67]
#Returns the problem corresponding to the given problem number
@staticmethod
@@ -137,6 +138,8 @@ class ProblemSelection:
return Problem33()
elif(problemNumber == 34):
return Problem34()
elif(problemNumber == 35):
return Problem35()
elif(problemNumber == 67):
return Problem67()

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@@ -35,12 +35,14 @@ class Problem34(Problem):
#Functions
#Constructor
def __init__(self):
super().__init__("")
super().__init__("Find the sum of all numbers which are equal to the sum of the factorial of their digits")
self.totalSum = 0
self.factorials = []
for cnt in range(0, 10):
for _ in range(0, 10):
self.factorials.append(0)
#Operational functions
#Solve the problem
def solve(self):
#If the problem has already been solved do nothing and end the function
if(self.solved):

119
Problems/Problem35.py Normal file
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@@ -0,0 +1,119 @@
#ProjectEuler/ProjectEulerPython/Problems/Problem35.py
#Matthew Ellison
# Created: 06-05-21
#Modified: 06-05-21
#Find the sum of all numbers which are equal to the sum of the factorial 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
from Unsolved import Unsolved
import Algorithms
class Problem35(Problem):
#Variables
__max_num = 999999
#Functions
#Constructor
def __init__(self):
super().__init__("Find the sum of all numbers which are equal to the sum of the factorial of their digits")
self.primes = []
self.circularPrimes = []
#Returns a list of all rotations of a string passed to it
def getRotations(self, str: str) -> list:
rotations = []
rotations.append(str)
for _ in range(1, len(str)):
str = str[1::] + str[0]
rotations.append(str)
return rotations
#Operational functions
#Solve the problem
def solve(self):
#If the porblem has already been solved do nothing and end the function
if(self.solved):
return
#Start the timer
self.timer.start()
#Get all primes under 1,000,000
self.primes = Algorithms.getPrimes(self.__max_num)
#Go through all primes, get all their rotations, and check if those numbers are also primes
for prime in self.primes:
allRotationsPrime = True
#Get all of the rotations of the prime and see if they are also prime
rotations = self.getRotations(str(prime))
for rotation in rotations:
p = int(rotation)
if(p not in self.primes):
allRotationsPrime = False
break
#If all rotations are prime add it to the list of circular primes
if(allRotationsPrime):
self.circularPrimes.append(prime)
#Stop the timer
self.timer.stop()
#Throw a flag to show the problem is solved
self.solved = True
#Reset the problem so it can be run again
def reset(self):
super().reset()
self.primes = []
self.circularPrimes = []
#Gets
#Returns a string with the solution to the problem
def getResult(self) -> str:
#If the problem hasn't been solved throw an exception
if(not self.solved):
raise Unsolved("You must solve the porblem before you can see the result")
return f"The number of all circular prime numbers under {self.__max_num} is {len(self.circularPrimes)}"
#Returns the list of primes < max_num
def getPrimes(self) -> list:
#If the problem hasn't been solved throw an exception
if(not self.solved):
raise Unsolved("You must solve the porblem before you can see the primes")
return self.primes
#Returns the list of circular primes < max_num
def getCircularPrimes(self) -> list:
#If the problem hasn't been solved throw an exception
if(not self.solved):
raise Unsolved("You must solve the porblem before you can see the circular primes")
return self.circularPrimes
#Returns the number of circular primes
def getNumCircularPrimes(self) -> list:
#If the problem hasn't been solved throw an exception
if(not self.solved):
raise Unsolved("You must solve the porblem before you can see the number of circular primes")
return len(self.circularPrimes)
""" Results:
The number of all circular prime numbers under 999999 is 55
It took 106.369 seconds to solve this algorithm
"""