Added solution to problem 38

This commit is contained in:
2021-10-22 19:28:37 -04:00
parent 84555edd31
commit c82afc7063
2 changed files with 107 additions and 3 deletions

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@@ -1,10 +1,10 @@
#ProjectEulerPython/ProblemSelection.py
#Matthew Ellison
# Created: 07-19-20
#Modified: 07-19-20
#Modified: 10-20-21
#This is the driver function for the Java version of the ProjectEuler project
"""
Copyright (C) 2020 Matthew Ellison
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
@@ -59,6 +59,7 @@ from Problems.Problem34 import Problem34
from Problems.Problem35 import Problem35
from Problems.Problem36 import Problem36
from Problems.Problem37 import Problem37
from Problems.Problem38 import Problem38
from Problems.Problem67 import Problem67
@@ -67,7 +68,7 @@ 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, 35, 36, 37, 67]
31, 32, 33, 34, 35, 36, 37, 38, 67]
#Returns the problem corresponding to the given problem number
@staticmethod
@@ -146,6 +147,8 @@ class ProblemSelection:
return Problem36()
elif(problemNumber == 37):
return Problem37()
elif(problemNumber == 38):
return Problem38()
elif(problemNumber == 67):
return Problem67()

101
Problems/Problem38.py Normal file
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@@ -0,0 +1,101 @@
#ProjectEuler/ProjectEulerPython/Problems/Problem38.py
#Matthew Ellison
# Created: 10-20-21
#Modified: 10-20-21
#What is the largest 1-9 pandigital number that can be formed as the concatenated product of an integer with 1, 2, ... n where n > 1
#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
import StringAlgorithms
class Problem38(Problem):
#Variables
__highest_possible_number = 9999 #The highest number that needs to be checked for a 1-9 pandigital
#Functions
#Constructor
def __init__(self) -> None:
super().__init__("What is the largest 1-9 pandigital number that can be formed as the concatenated product of an integer with 1, 2, ... n where n > 1")
self.largestNum = 0
self.pandigital = 0
#Operational functions
#Take the number and add its multiples to a string to return
def executeFormula(self, num: int) -> str:
#Turn the current number into a string
numStr = str(num)
numStr += str(num * 2)
#Multiply the number and append the product to the string until you have one long enough
cnt = 3
while(len(numStr) < 9):
numStr += str(num * cnt)
cnt += 1
return numStr
#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()
#Loop from 1 -> __highest_possible_num checking for pandigitals
for cnt in range(1, self.__highest_possible_number + 1):
#Get the string from the formula
numStr = self.executeFormula(cnt)
panNum = int(numStr)
#If the number is pandigital save it as the highest number
if(StringAlgorithms.isPandigital(numStr) and (panNum > self.pandigital)):
self.largestNum = cnt
self.pandigital = panNum
#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) -> None:
super().reset()
#Gets
#Returns a string with the solutino to the problem
def getResult(self) -> str:
self.solvedCheck("result")
return f"The largest appended product pandigital is {self.pandigital}"
#Returns the largest number
def getLargestNum(self) -> int:
self.solvedCheck("largest number")
return self.largestNum
#Returns the pandigital of the number
def getPandigital(self) -> int:
self.solvedCheck("pandigital")
return self.pandigital
""" Results:
The largest appended product pandigital is 932718654
It took an average of 9.886 milliseconds to run this problem through 100 iterations
"""