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Problem15.py
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Problem15.py
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#ProjectEuler/Python/Problem15.py
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#Matthew Ellison
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# Created: 01-31-19
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#Modified: 03-28-19
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#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?
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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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#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
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#But it is programed exactly as I programmed the C++ solution, so the eventual answer should be correct
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"""
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Copyright (C) 2019 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 Stopwatch import Stopwatch
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__gridWidth = 20 #The height of the grid
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__gridHeight = 20 #The width of the grid
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def movement(currentX: int, currentY: int) -> int:
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#Return 1 if you are at the finish location
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if((currentX == __gridWidth) and (currentY == __gridHeight)):
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return 1
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numberMoves = 0
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#Otherwise move one right if you can and recurse
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if(currentX < __gridWidth):
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numberMoves = movement(currentX + 1, currentY)
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#Then move one down and recurse
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if(currentY < __gridHeight):
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numberMoves += movement(currentX, currentY + 1)
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return numberMoves
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def Problem15():
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#Start the recursion at the right location and catch what is returned
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numberMoves = movement(0, 0)
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#Print the results
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print("The number of paths from 1 corner of a " + str(__gridWidth) + " x " + str(__gridHeight) + " grid to the opposite corner is " + str(numberMoves))
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#If you are running this file, automatically start the correct function
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if __name__ == "__main__":
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timer = Stopwatch() #Determines the algorithm's run time
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timer.start() #Start the timer
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Problem15() #Call the function that answers the question
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timer.stop() #Stop the timer
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#Print the results of the timer
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print("It took " + timer.getString() + " to run this algorithm")
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"""Results:
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"""
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