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Problem_11.py
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Problem_11.py
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# Largest product in a grid
# https://projecteuler.net/problem=11
# Problem 11
# Answer: 70600674
from functools import reduce
my_list: str = """
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
"""
line_list: list = my_list.split('\n')
# print(line_list)
matrix: list = []
result: int = 0
for i in line_list:
if i:
matrix.append(list(map(int, i.split(' '))))
print(matrix[:3])
def horizont_lines(input_matrix):
global result
for line in matrix:
for index in range(0, len(matrix), 4):
tmp = reduce(lambda x, y: x * y, line[index:index + 4])
if tmp > result:
result = tmp
def vertical_lines(input_matrix):
global result
vertical_matrix = [[0]*20 for m in range(20)]
# print(vertical_matrix)
for num, line in enumerate(matrix):
for index in range(len(line)):
vertical_matrix[index][num] = line[index]
# print(vertical_matrix[:3])
for line in vertical_matrix:
for index in range(0, len(vertical_matrix), 4):
tmp = reduce(lambda x, y: x * y, line[index:index + 4])
if tmp > result:
result = tmp
def diagonal_right(input_matrix):
global result
# print('len(input_matrix[0] - ', len(input_matrix[0]))
for line_down in range(0, len(input_matrix[0]), 4):
# print('line_down - ', line_down)
for index in range(3, len(input_matrix[0])):
# print('index - ', index, 'amount - ', input_matrix[line_down][index])
tmp = (input_matrix[line_down][index] *
input_matrix[line_down + 1][index - 1] *
input_matrix[line_down + 2][index - 2] *
input_matrix[line_down + 3][index - 3]
)
if tmp > result:
result = tmp
def diagonal_left(input_matrix):
global result
# print('len(input_matrix[0] - ', len(input_matrix[0]))
for line_down in range(0, len(input_matrix[0]), 4):
# print('line_down - ', line_down)
for index in range(0, len(input_matrix[0]) - 4):
print('index - ', index, 'amount - ', input_matrix[line_down][index])
tmp = (input_matrix[line_down][index] *
input_matrix[line_down + 1][index + 1] *
input_matrix[line_down + 2][index + 2] *
input_matrix[line_down + 3][index + 3]
)
if tmp > result:
result = tmp
horizont_lines(matrix)
vertical_lines(matrix)
diagonal_right(matrix)
diagonal_left(matrix)
print('Answer: ', result)