mirror of
https://bitbucket.org/Mattrixwv/projecteulerpython.git
synced 2025-12-06 17:43:58 -05:00
183 lines
7.5 KiB
Python
183 lines
7.5 KiB
Python
#ProjectEuler/Python/Problem11.py
|
||
#Matthew Ellison
|
||
# Created: 01-31-19
|
||
#Modified: 07-24-21
|
||
#What is the greatest product of four adjacent numbers in the same direction (up, down, left, right, or diagonally) in the 20×20 grid?
|
||
"""
|
||
08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08
|
||
49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 04 56 62 00
|
||
81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 03 49 13 36 65
|
||
52 70 95 23 04 60 11 42 69 24 68 56 01 32 56 71 37 02 36 91
|
||
22 31 16 71 51 67 63 89 41 92 36 54 22 40 40 28 66 33 13 80
|
||
24 47 32 60 99 03 45 02 44 75 33 53 78 36 84 20 35 17 12 50
|
||
32 98 81 28 64 23 67 10 26 38 40 67 59 54 70 66 18 38 64 70
|
||
67 26 20 68 02 62 12 20 95 63 94 39 63 08 40 91 66 49 94 21
|
||
24 55 58 05 66 73 99 26 97 17 78 78 96 83 14 88 34 89 63 72
|
||
21 36 23 09 75 00 76 44 20 45 35 14 00 61 33 97 34 31 33 95
|
||
78 17 53 28 22 75 31 67 15 94 03 80 04 62 16 14 09 53 56 92
|
||
16 39 05 42 96 35 31 47 55 58 88 24 00 17 54 24 36 29 85 57
|
||
86 56 00 48 35 71 89 07 05 44 44 37 44 60 21 58 51 54 17 58
|
||
19 80 81 68 05 94 47 69 28 73 92 13 86 52 17 77 04 89 55 40
|
||
04 52 08 83 97 35 99 16 07 97 57 32 16 26 26 79 33 27 98 66
|
||
88 36 68 87 57 62 20 72 03 46 33 67 46 55 12 32 63 93 53 69
|
||
04 42 16 73 38 25 39 11 24 94 72 18 08 46 29 32 40 62 76 36
|
||
20 69 36 41 72 30 23 88 34 62 99 69 82 67 59 85 74 04 36 16
|
||
20 73 35 29 78 31 90 01 74 31 49 71 48 86 81 16 23 57 05 54
|
||
01 70 54 71 83 51 54 69 16 92 33 48 61 43 52 01 89 19 67 48
|
||
"""
|
||
#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 ArrayAlgorithms import prod
|
||
|
||
|
||
class Problem11(Problem):
|
||
#Variables
|
||
__grid = [[8, 2, 22, 97, 38, 15, 0, 40, 0, 75, 4, 5, 7, 78, 52, 12, 50, 77, 91, 8],
|
||
[49, 49, 99, 40, 17, 81, 18, 57, 60, 87, 17, 40, 98, 43, 69, 48, 4, 56, 62, 00],
|
||
[81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30, 3, 49, 13, 36, 65],
|
||
[52, 70, 95, 23, 4, 60, 11, 42, 69, 24, 68, 56, 1, 32, 56, 71, 37, 2, 36, 91],
|
||
[22, 31, 16, 71, 51, 67, 63, 89, 41, 92, 36, 54, 22, 40, 40, 28, 66, 33, 13, 80],
|
||
[24, 47, 32, 60, 99, 3, 45, 2, 44, 75, 33, 53, 78, 36, 84, 20, 35, 17, 12, 50],
|
||
[32, 98, 81, 28, 64, 23, 67, 10, 26, 38, 40, 67, 59, 54, 70, 66, 18, 38, 64, 70],
|
||
[67, 26, 20, 68, 2, 62, 12, 20, 95, 63, 94, 39, 63, 8, 40, 91, 66, 49, 94, 21],
|
||
[24, 55, 58, 5, 66, 73, 99, 26, 97, 17, 78, 78, 96, 83, 14, 88, 34, 89, 63, 72],
|
||
[21, 36, 23, 9, 75, 0, 76, 44, 20, 45, 35, 14, 0, 61, 33, 97, 34, 31, 33, 95],
|
||
[78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 3, 80, 4, 62, 16, 14, 9, 53, 56, 92],
|
||
[16, 39, 5, 42, 96, 35, 31, 47, 55, 58, 88, 24, 0, 17, 54, 24, 36, 29, 85, 57],
|
||
[86, 56, 0, 48, 35, 71, 89, 7, 5, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58],
|
||
[19, 80, 81, 68, 5, 94, 47, 69, 28, 73, 92, 13, 86, 52, 17, 77, 4, 89, 55, 40],
|
||
[ 4, 52, 8, 83, 97, 35, 99, 16, 7, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66],
|
||
[88, 36, 68, 87, 57, 62, 20, 72, 3, 46, 33, 67, 46, 55, 12, 32, 63, 93, 53, 69],
|
||
[ 4, 42, 16, 73, 38, 25, 39, 11, 24, 94, 72, 18, 8, 46, 29, 32, 40, 62, 76, 36],
|
||
[20, 69, 36, 41, 72, 30, 23, 88, 34, 62, 99, 69, 82, 67, 59, 85, 74, 4, 36, 16],
|
||
[20, 73, 35, 29, 78, 31, 90, 1, 74, 31, 49, 71, 48, 86, 81, 16, 23, 57, 5, 54],
|
||
[ 1, 70, 54, 71, 83, 51, 54, 69, 16, 92, 33, 48, 61, 43, 52, 1, 89, 19, 67, 48]]
|
||
|
||
#Functions
|
||
#Constructor
|
||
def __init__(self) -> None:
|
||
super().__init__("What is the greatest product of four adjacent numbers in the same direction (up, down, left, right, or diagonally) in the 20×20 grid?")
|
||
self.greatestProduct = []
|
||
|
||
#Operational functions
|
||
#Solve the problem
|
||
def solve(self) -> None:
|
||
#If the problem has already been solved do nothing and end the function
|
||
if(self.solved):
|
||
return
|
||
|
||
#Setup the variables
|
||
self.greatestProduct = [0, 0, 0, 0] #Holds the numbers that give the greatest product
|
||
currentNumbers = [0, 0, 0, 0] #Holds the numbers that you are currently working with
|
||
|
||
#Start the timer
|
||
self.timer.start()
|
||
|
||
|
||
#Loop through every location in the grid
|
||
for row in range(0, len(self.__grid)):
|
||
for col in range (0, len(self.__grid[row])):
|
||
#Setup variables for knowing what direction you can move
|
||
moveLeft = False
|
||
moveRight = False
|
||
moveDown = False
|
||
|
||
#Check which directions you will be able to move
|
||
if((col - 3) >= 0):
|
||
moveLeft = True
|
||
if((col + 3) < len(self.__grid[row])):
|
||
moveRight = True
|
||
if((row + 3) < 20):
|
||
moveDown = True
|
||
|
||
#With these movements check for the greatest product of 4 adjacent numebrs
|
||
#Move Right
|
||
if moveRight:
|
||
currentNumbers[0] = self.__grid[row][col]
|
||
currentNumbers[1] = self.__grid[row][col + 1]
|
||
currentNumbers[2] = self.__grid[row][col + 2]
|
||
currentNumbers[3] = self.__grid[row][col + 3]
|
||
|
||
if(prod(currentNumbers) > prod(self.greatestProduct)):
|
||
self.greatestProduct = currentNumbers.copy()
|
||
|
||
#Move Down
|
||
if moveDown:
|
||
currentNumbers[0] = self.__grid[row][col]
|
||
currentNumbers[1] = self.__grid[row + 1][col]
|
||
currentNumbers[2] = self.__grid[row + 2][col]
|
||
currentNumbers[3] = self.__grid[row + 3][col]
|
||
|
||
if(prod(currentNumbers) > prod(self.greatestProduct)):
|
||
self.greatestProduct = currentNumbers.copy()
|
||
|
||
#Move Down & Left
|
||
if(moveDown and moveLeft):
|
||
currentNumbers[0] = self.__grid[row][col]
|
||
currentNumbers[1] = self.__grid[row + 1][col - 1]
|
||
currentNumbers[2] = self.__grid[row + 2][col - 2]
|
||
currentNumbers[3] = self.__grid[row + 3][col - 3]
|
||
|
||
if(prod(currentNumbers) > prod(self.greatestProduct)):
|
||
self.greatestProduct = currentNumbers.copy()
|
||
|
||
#Move Down & Right
|
||
if(moveDown and moveRight):
|
||
currentNumbers[0] = self.__grid[row][col]
|
||
currentNumbers[1] = self.__grid[row + 1][col + 1]
|
||
currentNumbers[2] = self.__grid[row + 2][col + 2]
|
||
currentNumbers[3] = self.__grid[row + 3][col + 3]
|
||
|
||
if(prod(currentNumbers) > prod(self.greatestProduct)):
|
||
self.greatestProduct = currentNumbers.copy()
|
||
|
||
|
||
#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()
|
||
self.greatestProduct.clear()
|
||
|
||
#Gets
|
||
#Returns the result of solving the problem
|
||
def getResult(self) -> str:
|
||
self.solvedCheck("result")
|
||
return f"The greatest product of 3 numbers in a line is {prod(self.greatestProduct)}"
|
||
#Returns the numbers that were being searched
|
||
def getNumbers(self) -> list:
|
||
self.solvedCheck("numbers")
|
||
return self.greatestProduct
|
||
#Returns the product that was requested
|
||
def getProduct(self) -> int:
|
||
self.solvedCheck("product of the numbers")
|
||
return prod(self.greatestProduct)
|
||
|
||
|
||
"""Results:
|
||
The greatest product of 3 numbers in a line is 70600674
|
||
It took an average of 1.071 milliseconds to run this problem through 100 iterations
|
||
"""
|