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11.py
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import numpy as np
def invert_matrix(m):
inverted = [[0 for x in range(len(m))] for x in range(len(m[0]))]
for i in range(len(m)):
for j in range(len(m[0])):
inverted[i][j] = m[j][i]
return inverted
regular = [[8,2,22,97,38,15,00,40,00,75,4,5,7,78,52,12,50,77,91,8],[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],[21,36,23,9,75,00,76,44,20,45,35,14,00,61,33,97,34,31,33,95],[78,17,53,28,22,75,31,67,15,94,3,80,4,62,16,14,9,53,56,92],[16,39,5,42,96,35,31,47,55,58,88,24,00,17,54,24,36,29,85,57],[86,56,00,48,35,71,89,7,5,44,44,37,44,60,21,58,51,54,17,58],[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]]
inverted = invert_matrix(regular)
def horizontal_product(matrix):
for line in matrix:
for i in range(0, len(line)-3):
yield np.prod(line[i:i+4])
def diagonal_product(matrix):
for i in range(len(matrix)-3):
for j in range(len(matrix[i])-3):
yield matrix[i][j]*matrix[i+1][j+1]*matrix[i+2][j+2]*matrix[i+3][j+3]
horizontal = max(horizontal_product(regular))
vertical = max(horizontal_product(inverted))
diagonal = max(diagonal_product(regular))
diagonal_reversed = max(diagonal_product(list(reversed(regular))))
print max((horizontal, vertical, diagonal, diagonal_reversed))