Changed problems to work with a driver function

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2020-07-19 15:54:00 -04:00
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#ProjectEuler/Python/Problem15.py
#Matthew Ellison
# Created: 01-31-19
#Modified: 07-18-20
#How many routes from the top left corner to the bottom right corner are there through a 20×20 grid if you can only move right and down?
#Unless otherwise listed, all of my non-standard imports can be gotten from my pyClasses repository at https://bitbucket.org/Mattrixwv/pyClasses
#There must be a better way than this. This is untested. I let it run for about 14 hours and it still hadn't spit an answer out for me
#But it is programed exactly as I programmed the C++ solution, so the eventual answer should be correct
"""
Copyright (C) 2020 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 Stopwatch import Stopwatch
from Unsolved import Unsolved
class Problem15(Problem):
#Variables
__gridWidth = 20 #The height of the grid
__gridHeight = 20 #The width of the grid
#Functions
#Constructor
def __init__(self):
super().__init__("How many routes from the top left corner to the bottom right corner are there through a 20x20 grid if you can only move right and down?")
self.numOfRoutes = 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):
return
#Start the timer
self.timer.start()
#Start the recursion at the right location and catch what is returned
numberMoves = self.movement(0, 0)
#Stop the timer
self.timer.stop()
#Print the results
self.result = "The number of paths from 1 corner of a " + str(self.__gridWidth) + " x " + str(self.__gridHeight) + " grid to the opposite corner is " + str(numberMoves)
#Throw a flag to show the problem is solved
self.solved = True
#This function acts as a handler for moving the position on the grid and counting the distance
#It moves right first, then down
def movement(self, currentX: int, currentY: int) -> int:
#Return 1 if you are at the finish location
if((currentX == self.__gridWidth) and (currentY == self.__gridHeight)):
return 1
numberMoves = 0
#Otherwise move one right if you can and recurse
if(currentX < self.__gridWidth):
numberMoves = self.movement(currentX + 1, currentY)
#Then move one down and recurse
if(currentY < self.__gridHeight):
numberMoves += self.movement(currentX, currentY + 1)
return numberMoves
#Reset the problem so it can be run again
def reset(self):
super().reset()
self.numOfRoutes = 0
#Gets
#Returns the number of routes found
def getNumberOfRoutes(self) -> int:
#If the problem hasn't been solved throw an exception
if(not self.solved):
raise Unsolved("You must solve the problem before you can get the number of routes")
return self.numOfRoutes
#If you are running this file, automatically start the correct function
if __name__ == "__main__":
problem = Problem15()
print(problem.getDescription()) #Print the description of the problem
problem.solve() #Solve the problem
#Print the results
print(problem.getResult())
print("It took " + problem.getTime() + " to solve this algorithm")
"""Results:
"""