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Copy pathLargest product in a grid.py
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Largest product in a grid.py
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# -*- coding: utf-8 -*-
"""
Created on Wed Mar 18 04:48:17 2020
@author: Ajay
"""
if __name__ =="__main__":
import numpy as np
from operator import mul
from functools import reduce
matrix=[]
raw_matrix = '''\
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'''.split("\n")
for i in raw_matrix:
for j in i.split():
matrix.append(int(j))
matrix=np.asarray(matrix)
matrix=matrix.reshape(20,20)
down_max=0
for i in range(len(matrix)):
col=matrix[:,i]
while len(col)!=0 and len(col[0:4])==4:
#print(col[0:4])
curr_sum=np.prod(col[0:4])
if curr_sum>down_max:
down_max=curr_sum
col=np.delete(col,0)
up_max=0
for i in range(len(matrix)):
col=matrix[:,i]
while len(col)!=0 and len(col[-4:])==4:
#print(col[-4:])
curr_sum=np.prod(col[-4:])
if curr_sum>up_max:
up_max=curr_sum
col=np.delete(col,-1)
left_max=0
for i in range(len(matrix)):
row=matrix[i,:]
while len(row)!=0 and len(row[0:4])==4:
#print(row[0:4])
curr_sum=np.prod(row[0:4])
#print(curr_sum)
if curr_sum>left_max:
left_max=curr_sum
row=np.delete(row,0)
right_max=0
for i in range(len(matrix)):
row=matrix[i,:]
while len(row)!=0 and len(row[-4:])==4:
#print(row[-4:])
curr_sum=np.prod(row[-4:])
if curr_sum>right_max:
right_max=curr_sum
row=np.delete(row,-1)
diag_max=0
col,row=0,0
while(col!=17 or row!=16):
if col==17:
row=row+1
col=0
# print(matrix[row,col],matrix[row+1,col+1],matrix[row+2,col+2],matrix[row+3,col+3])
curr_max=reduce(mul, [matrix[row,col],matrix[row+1,col+1],matrix[row+2,col+2],matrix[row+3,col+3]], 1)
if curr_max>diag_max:
diag_max=curr_max
col=col+1
rev_diag_max=0
col,row=0,19
while(col!=17 or row!=3):
if col==17:
row=row-1
col=0
#print((row,col),(row-1,col+1),(row-2,col+2),(row-3,col+3))
#print(matrix[row,col],matrix[row-1,col+1],matrix[row-2,col+2],matrix[row-3,col+3])
curr_max=reduce(mul, [matrix[row,col],matrix[row-1,col+1],matrix[row-2,col+2],matrix[row-3,col+3]], 1)
#print(curr_max)
if curr_max>rev_diag_max:
rev_diag_max=curr_max
col=col+1
print(max([diag_max,up_max,down_max,left_max,right_max,rev_diag_max]))