import numpy as np
import time
time1 = time.time()
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
'''

grid = grid.split()
a = np.array(grid)
a = a.reshape([20, 20])
master_product_list = []

def diagonal_scanner_backward():
    diagonal_list = []
    column_num = 0
    row_num = 0

    while row_num < 17 and column_num < 17:
        scanner1 = a[row_num:row_num+1,column_num+3:column_num+4]
        scanner2 = a[row_num+1:row_num+2,column_num+2:column_num+3]
        scanner3 = a[row_num+2:row_num+3,column_num+1:column_num+2]
        scanner4 = a[row_num+3:row_num+4,column_num:column_num+1]
        diagonal_list.append(np.asscalar(np.int16(scanner1)))
        diagonal_list.append(np.asscalar(np.int16(scanner2)))
        diagonal_list.append(np.asscalar(np.int16(scanner3)))
        diagonal_list.append(np.asscalar(np.int16(scanner4)))
        column_num += 1
        if column_num == 17:
            row_num += 1
            column_num = 0

    product_list = []
    i = 0
    while i < 1156:
        product_list.append(diagonal_list[i] * diagonal_list[i+1] * diagonal_list[i+2]  * diagonal_list[i+3]) 
        i += 4
        
    for product in product_list:
        master_product_list.append(product)
    
diagonal_scanner_backward()

def diagonal_scanner_forward():
    diagonal_list = []
    column_num = 0
    row_num = 0
    while row_num < 18 and column_num < 17:
        scanner1 = a[row_num:row_num+1,column_num:column_num+1]
        scanner2 = a[row_num+1:row_num+2,column_num+1:column_num+2]
        scanner3 = a[row_num+2:row_num+3,column_num+2:column_num+3]
        scanner4 = a[row_num+3:row_num+4,column_num+3:column_num+4]
        diagonal_list.append(np.asscalar(np.int16(scanner1)))
        diagonal_list.append(np.asscalar(np.int16(scanner2)))
        diagonal_list.append(np.asscalar(np.int16(scanner3)))
        diagonal_list.append(np.asscalar(np.int16(scanner4)))
        row_num += 1
        if row_num == 17:
            column_num += 1
            row_num = 0

    product_list = []
    i = 0
    while i < 1156:
        product_list.append(diagonal_list[i] * diagonal_list[i+1] * diagonal_list[i+2]  * diagonal_list[i+3]) 
        i += 4
    
    for product in product_list:
        master_product_list.append(product)

diagonal_scanner_forward()

def vertical_scan():
    vertical_list = []
    column_num = 0
    row_num = 0
    while row_num < 20 and column_num < 20:
        scanner = a[row_num:row_num+1,column_num:column_num+1]
        vertical_list.append(np.asscalar(np.int16(scanner)))
        row_num += 1
        if row_num == 20:
            column_num += 1
            row_num = 0
            
    product_list = []
    i = 0
    while i < 397:
        product_list.append(vertical_list[i] * vertical_list[i+1] * vertical_list[i+2]  * vertical_list[i+3]) 
        i += 1
        if (i+4) % 20 == 0:
            i += 4
    for product in product_list:
        master_product_list.append(product)

vertical_scan()

def horizontal_scan():
    horizontal_list = []
    column_num = 0
    row_num = 0
    while row_num < 20 and column_num < 20:
        scanner = a[row_num:row_num+1,column_num:column_num+1]
        horizontal_list.append(np.asscalar(np.int16(scanner)))
        column_num += 1
        if column_num == 20:
            row_num += 1
            column_num = 0
    
    product_list = []
    i = 0
    while i < 397:        
        product_list.append(horizontal_list[i] * horizontal_list[i+1] * horizontal_list[i+2]  * horizontal_list[i+3]) 
        i += 1
        if (i+4) % 20 == 0:
            i += 4
    for product in product_list:
        master_product_list.append(product)

horizontal_scan()
print(sorted(master_product_list)[-1], 'is the highest number in the grid')
time2 = time.time()
print('Total time elapsed to solve:', time2 - time1, 'seconds')

47caa86aa2e1effe5b51e85289f4472f099daeba
<mask token>


def diagonal_scanner_backward():
    diagonal_list = []
    column_num = 0
    row_num = 0
    while row_num < 17 and column_num < 17:
        scanner1 = a[row_num:row_num + 1, column_num + 3:column_num + 4]
        scanner2 = a[row_num + 1:row_num + 2, column_num + 2:column_num + 3]
        scanner3 = a[row_num + 2:row_num + 3, column_num + 1:column_num + 2]
        scanner4 = a[row_num + 3:row_num + 4, column_num:column_num + 1]
        diagonal_list.append(np.asscalar(np.int16(scanner1)))
        diagonal_list.append(np.asscalar(np.int16(scanner2)))
        diagonal_list.append(np.asscalar(np.int16(scanner3)))
        diagonal_list.append(np.asscalar(np.int16(scanner4)))
        column_num += 1
        if column_num == 17:
            row_num += 1
            column_num = 0
    product_list = []
    i = 0
    while i < 1156:
        product_list.append(diagonal_list[i] * diagonal_list[i + 1] *
            diagonal_list[i + 2] * diagonal_list[i + 3])
        i += 4
    for product in product_list:
        master_product_list.append(product)


<mask token>


def diagonal_scanner_forward():
    diagonal_list = []
    column_num = 0
    row_num = 0
    while row_num < 18 and column_num < 17:
        scanner1 = a[row_num:row_num + 1, column_num:column_num + 1]
        scanner2 = a[row_num + 1:row_num + 2, column_num + 1:column_num + 2]
        scanner3 = a[row_num + 2:row_num + 3, column_num + 2:column_num + 3]
        scanner4 = a[row_num + 3:row_num + 4, column_num + 3:column_num + 4]
        diagonal_list.append(np.asscalar(np.int16(scanner1)))
        diagonal_list.append(np.asscalar(np.int16(scanner2)))
        diagonal_list.append(np.asscalar(np.int16(scanner3)))
        diagonal_list.append(np.asscalar(np.int16(scanner4)))
        row_num += 1
        if row_num == 17:
            column_num += 1
            row_num = 0
    product_list = []
    i = 0
    while i < 1156:
        product_list.append(diagonal_list[i] * diagonal_list[i + 1] *
            diagonal_list[i + 2] * diagonal_list[i + 3])
        i += 4
    for product in product_list:
        master_product_list.append(product)


<mask token>


def vertical_scan():
    vertical_list = []
    column_num = 0
    row_num = 0
    while row_num < 20 and column_num < 20:
        scanner = a[row_num:row_num + 1, column_num:column_num + 1]
        vertical_list.append(np.asscalar(np.int16(scanner)))
        row_num += 1
        if row_num == 20:
            column_num += 1
            row_num = 0
    product_list = []
    i = 0
    while i < 397:
        product_list.append(vertical_list[i] * vertical_list[i + 1] *
            vertical_list[i + 2] * vertical_list[i + 3])
        i += 1
        if (i + 4) % 20 == 0:
            i += 4
    for product in product_list:
        master_product_list.append(product)


<mask token>


def horizontal_scan():
    horizontal_list = []
    column_num = 0
    row_num = 0
    while row_num < 20 and column_num < 20:
        scanner = a[row_num:row_num + 1, column_num:column_num + 1]
        horizontal_list.append(np.asscalar(np.int16(scanner)))
        column_num += 1
        if column_num == 20:
            row_num += 1
            column_num = 0
    product_list = []
    i = 0
    while i < 397:
        product_list.append(horizontal_list[i] * horizontal_list[i + 1] *
            horizontal_list[i + 2] * horizontal_list[i + 3])
        i += 1
        if (i + 4) % 20 == 0:
            i += 4
    for product in product_list:
        master_product_list.append(product)


<mask token>

<mask token>


def diagonal_scanner_backward():
    diagonal_list = []
    column_num = 0
    row_num = 0
    while row_num < 17 and column_num < 17:
        scanner1 = a[row_num:row_num + 1, column_num + 3:column_num + 4]
        scanner2 = a[row_num + 1:row_num + 2, column_num + 2:column_num + 3]
        scanner3 = a[row_num + 2:row_num + 3, column_num + 1:column_num + 2]
        scanner4 = a[row_num + 3:row_num + 4, column_num:column_num + 1]
        diagonal_list.append(np.asscalar(np.int16(scanner1)))
        diagonal_list.append(np.asscalar(np.int16(scanner2)))
        diagonal_list.append(np.asscalar(np.int16(scanner3)))
        diagonal_list.append(np.asscalar(np.int16(scanner4)))
        column_num += 1
        if column_num == 17:
            row_num += 1
            column_num = 0
    product_list = []
    i = 0
    while i < 1156:
        product_list.append(diagonal_list[i] * diagonal_list[i + 1] *
            diagonal_list[i + 2] * diagonal_list[i + 3])
        i += 4
    for product in product_list:
        master_product_list.append(product)


diagonal_scanner_backward()


def diagonal_scanner_forward():
    diagonal_list = []
    column_num = 0
    row_num = 0
    while row_num < 18 and column_num < 17:
        scanner1 = a[row_num:row_num + 1, column_num:column_num + 1]
        scanner2 = a[row_num + 1:row_num + 2, column_num + 1:column_num + 2]
        scanner3 = a[row_num + 2:row_num + 3, column_num + 2:column_num + 3]
        scanner4 = a[row_num + 3:row_num + 4, column_num + 3:column_num + 4]
        diagonal_list.append(np.asscalar(np.int16(scanner1)))
        diagonal_list.append(np.asscalar(np.int16(scanner2)))
        diagonal_list.append(np.asscalar(np.int16(scanner3)))
        diagonal_list.append(np.asscalar(np.int16(scanner4)))
        row_num += 1
        if row_num == 17:
            column_num += 1
            row_num = 0
    product_list = []
    i = 0
    while i < 1156:
        product_list.append(diagonal_list[i] * diagonal_list[i + 1] *
            diagonal_list[i + 2] * diagonal_list[i + 3])
        i += 4
    for product in product_list:
        master_product_list.append(product)


diagonal_scanner_forward()


def vertical_scan():
    vertical_list = []
    column_num = 0
    row_num = 0
    while row_num < 20 and column_num < 20:
        scanner = a[row_num:row_num + 1, column_num:column_num + 1]
        vertical_list.append(np.asscalar(np.int16(scanner)))
        row_num += 1
        if row_num == 20:
            column_num += 1
            row_num = 0
    product_list = []
    i = 0
    while i < 397:
        product_list.append(vertical_list[i] * vertical_list[i + 1] *
            vertical_list[i + 2] * vertical_list[i + 3])
        i += 1
        if (i + 4) % 20 == 0:
            i += 4
    for product in product_list:
        master_product_list.append(product)


vertical_scan()


def horizontal_scan():
    horizontal_list = []
    column_num = 0
    row_num = 0
    while row_num < 20 and column_num < 20:
        scanner = a[row_num:row_num + 1, column_num:column_num + 1]
        horizontal_list.append(np.asscalar(np.int16(scanner)))
        column_num += 1
        if column_num == 20:
            row_num += 1
            column_num = 0
    product_list = []
    i = 0
    while i < 397:
        product_list.append(horizontal_list[i] * horizontal_list[i + 1] *
            horizontal_list[i + 2] * horizontal_list[i + 3])
        i += 1
        if (i + 4) % 20 == 0:
            i += 4
    for product in product_list:
        master_product_list.append(product)


horizontal_scan()
print(sorted(master_product_list)[-1], 'is the highest number in the grid')
<mask token>
print('Total time elapsed to solve:', time2 - time1, 'seconds')

<mask token>
time1 = time.time()
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
"""
grid = grid.split()
a = np.array(grid)
a = a.reshape([20, 20])
master_product_list = []


def diagonal_scanner_backward():
    diagonal_list = []
    column_num = 0
    row_num = 0
    while row_num < 17 and column_num < 17:
        scanner1 = a[row_num:row_num + 1, column_num + 3:column_num + 4]
        scanner2 = a[row_num + 1:row_num + 2, column_num + 2:column_num + 3]
        scanner3 = a[row_num + 2:row_num + 3, column_num + 1:column_num + 2]
        scanner4 = a[row_num + 3:row_num + 4, column_num:column_num + 1]
        diagonal_list.append(np.asscalar(np.int16(scanner1)))
        diagonal_list.append(np.asscalar(np.int16(scanner2)))
        diagonal_list.append(np.asscalar(np.int16(scanner3)))
        diagonal_list.append(np.asscalar(np.int16(scanner4)))
        column_num += 1
        if column_num == 17:
            row_num += 1
            column_num = 0
    product_list = []
    i = 0
    while i < 1156:
        product_list.append(diagonal_list[i] * diagonal_list[i + 1] *
            diagonal_list[i + 2] * diagonal_list[i + 3])
        i += 4
    for product in product_list:
        master_product_list.append(product)


diagonal_scanner_backward()


def diagonal_scanner_forward():
    diagonal_list = []
    column_num = 0
    row_num = 0
    while row_num < 18 and column_num < 17:
        scanner1 = a[row_num:row_num + 1, column_num:column_num + 1]
        scanner2 = a[row_num + 1:row_num + 2, column_num + 1:column_num + 2]
        scanner3 = a[row_num + 2:row_num + 3, column_num + 2:column_num + 3]
        scanner4 = a[row_num + 3:row_num + 4, column_num + 3:column_num + 4]
        diagonal_list.append(np.asscalar(np.int16(scanner1)))
        diagonal_list.append(np.asscalar(np.int16(scanner2)))
        diagonal_list.append(np.asscalar(np.int16(scanner3)))
        diagonal_list.append(np.asscalar(np.int16(scanner4)))
        row_num += 1
        if row_num == 17:
            column_num += 1
            row_num = 0
    product_list = []
    i = 0
    while i < 1156:
        product_list.append(diagonal_list[i] * diagonal_list[i + 1] *
            diagonal_list[i + 2] * diagonal_list[i + 3])
        i += 4
    for product in product_list:
        master_product_list.append(product)


diagonal_scanner_forward()


def vertical_scan():
    vertical_list = []
    column_num = 0
    row_num = 0
    while row_num < 20 and column_num < 20:
        scanner = a[row_num:row_num + 1, column_num:column_num + 1]
        vertical_list.append(np.asscalar(np.int16(scanner)))
        row_num += 1
        if row_num == 20:
            column_num += 1
            row_num = 0
    product_list = []
    i = 0
    while i < 397:
        product_list.append(vertical_list[i] * vertical_list[i + 1] *
            vertical_list[i + 2] * vertical_list[i + 3])
        i += 1
        if (i + 4) % 20 == 0:
            i += 4
    for product in product_list:
        master_product_list.append(product)


vertical_scan()


def horizontal_scan():
    horizontal_list = []
    column_num = 0
    row_num = 0
    while row_num < 20 and column_num < 20:
        scanner = a[row_num:row_num + 1, column_num:column_num + 1]
        horizontal_list.append(np.asscalar(np.int16(scanner)))
        column_num += 1
        if column_num == 20:
            row_num += 1
            column_num = 0
    product_list = []
    i = 0
    while i < 397:
        product_list.append(horizontal_list[i] * horizontal_list[i + 1] *
            horizontal_list[i + 2] * horizontal_list[i + 3])
        i += 1
        if (i + 4) % 20 == 0:
            i += 4
    for product in product_list:
        master_product_list.append(product)


horizontal_scan()
print(sorted(master_product_list)[-1], 'is the highest number in the grid')
time2 = time.time()
print('Total time elapsed to solve:', time2 - time1, 'seconds')

import numpy as np
import time
time1 = time.time()
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
"""
grid = grid.split()
a = np.array(grid)
a = a.reshape([20, 20])
master_product_list = []


def diagonal_scanner_backward():
    diagonal_list = []
    column_num = 0
    row_num = 0
    while row_num < 17 and column_num < 17:
        scanner1 = a[row_num:row_num + 1, column_num + 3:column_num + 4]
        scanner2 = a[row_num + 1:row_num + 2, column_num + 2:column_num + 3]
        scanner3 = a[row_num + 2:row_num + 3, column_num + 1:column_num + 2]
        scanner4 = a[row_num + 3:row_num + 4, column_num:column_num + 1]
        diagonal_list.append(np.asscalar(np.int16(scanner1)))
        diagonal_list.append(np.asscalar(np.int16(scanner2)))
        diagonal_list.append(np.asscalar(np.int16(scanner3)))
        diagonal_list.append(np.asscalar(np.int16(scanner4)))
        column_num += 1
        if column_num == 17:
            row_num += 1
            column_num = 0
    product_list = []
    i = 0
    while i < 1156:
        product_list.append(diagonal_list[i] * diagonal_list[i + 1] *
            diagonal_list[i + 2] * diagonal_list[i + 3])
        i += 4
    for product in product_list:
        master_product_list.append(product)


diagonal_scanner_backward()


def diagonal_scanner_forward():
    diagonal_list = []
    column_num = 0
    row_num = 0
    while row_num < 18 and column_num < 17:
        scanner1 = a[row_num:row_num + 1, column_num:column_num + 1]
        scanner2 = a[row_num + 1:row_num + 2, column_num + 1:column_num + 2]
        scanner3 = a[row_num + 2:row_num + 3, column_num + 2:column_num + 3]
        scanner4 = a[row_num + 3:row_num + 4, column_num + 3:column_num + 4]
        diagonal_list.append(np.asscalar(np.int16(scanner1)))
        diagonal_list.append(np.asscalar(np.int16(scanner2)))
        diagonal_list.append(np.asscalar(np.int16(scanner3)))
        diagonal_list.append(np.asscalar(np.int16(scanner4)))
        row_num += 1
        if row_num == 17:
            column_num += 1
            row_num = 0
    product_list = []
    i = 0
    while i < 1156:
        product_list.append(diagonal_list[i] * diagonal_list[i + 1] *
            diagonal_list[i + 2] * diagonal_list[i + 3])
        i += 4
    for product in product_list:
        master_product_list.append(product)


diagonal_scanner_forward()


def vertical_scan():
    vertical_list = []
    column_num = 0
    row_num = 0
    while row_num < 20 and column_num < 20:
        scanner = a[row_num:row_num + 1, column_num:column_num + 1]
        vertical_list.append(np.asscalar(np.int16(scanner)))
        row_num += 1
        if row_num == 20:
            column_num += 1
            row_num = 0
    product_list = []
    i = 0
    while i < 397:
        product_list.append(vertical_list[i] * vertical_list[i + 1] *
            vertical_list[i + 2] * vertical_list[i + 3])
        i += 1
        if (i + 4) % 20 == 0:
            i += 4
    for product in product_list:
        master_product_list.append(product)


vertical_scan()


def horizontal_scan():
    horizontal_list = []
    column_num = 0
    row_num = 0
    while row_num < 20 and column_num < 20:
        scanner = a[row_num:row_num + 1, column_num:column_num + 1]
        horizontal_list.append(np.asscalar(np.int16(scanner)))
        column_num += 1
        if column_num == 20:
            row_num += 1
            column_num = 0
    product_list = []
    i = 0
    while i < 397:
        product_list.append(horizontal_list[i] * horizontal_list[i + 1] *
            horizontal_list[i + 2] * horizontal_list[i + 3])
        i += 1
        if (i + 4) % 20 == 0:
            i += 4
    for product in product_list:
        master_product_list.append(product)


horizontal_scan()
print(sorted(master_product_list)[-1], 'is the highest number in the grid')
time2 = time.time()
print('Total time elapsed to solve:', time2 - time1, 'seconds')

import numpy as np
import time
time1 = time.time()
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
'''

grid = grid.split()
a = np.array(grid)
a = a.reshape([20, 20])
master_product_list = []

def diagonal_scanner_backward():
    diagonal_list = []
    column_num = 0
    row_num = 0

    while row_num < 17 and column_num < 17:
        scanner1 = a[row_num:row_num+1,column_num+3:column_num+4]
        scanner2 = a[row_num+1:row_num+2,column_num+2:column_num+3]
        scanner3 = a[row_num+2:row_num+3,column_num+1:column_num+2]
        scanner4 = a[row_num+3:row_num+4,column_num:column_num+1]
        diagonal_list.append(np.asscalar(np.int16(scanner1)))
        diagonal_list.append(np.asscalar(np.int16(scanner2)))
        diagonal_list.append(np.asscalar(np.int16(scanner3)))
        diagonal_list.append(np.asscalar(np.int16(scanner4)))
        column_num += 1
        if column_num == 17:
            row_num += 1
            column_num = 0

    product_list = []
    i = 0
    while i < 1156:
        product_list.append(diagonal_list[i] * diagonal_list[i+1] * diagonal_list[i+2]  * diagonal_list[i+3]) 
        i += 4
        
    for product in product_list:
        master_product_list.append(product)
    
diagonal_scanner_backward()

def diagonal_scanner_forward():
    diagonal_list = []
    column_num = 0
    row_num = 0
    while row_num < 18 and column_num < 17:
        scanner1 = a[row_num:row_num+1,column_num:column_num+1]
        scanner2 = a[row_num+1:row_num+2,column_num+1:column_num+2]
        scanner3 = a[row_num+2:row_num+3,column_num+2:column_num+3]
        scanner4 = a[row_num+3:row_num+4,column_num+3:column_num+4]
        diagonal_list.append(np.asscalar(np.int16(scanner1)))
        diagonal_list.append(np.asscalar(np.int16(scanner2)))
        diagonal_list.append(np.asscalar(np.int16(scanner3)))
        diagonal_list.append(np.asscalar(np.int16(scanner4)))
        row_num += 1
        if row_num == 17:
            column_num += 1
            row_num = 0

    product_list = []
    i = 0
    while i < 1156:
        product_list.append(diagonal_list[i] * diagonal_list[i+1] * diagonal_list[i+2]  * diagonal_list[i+3]) 
        i += 4
    
    for product in product_list:
        master_product_list.append(product)

diagonal_scanner_forward()

def vertical_scan():
    vertical_list = []
    column_num = 0
    row_num = 0
    while row_num < 20 and column_num < 20:
        scanner = a[row_num:row_num+1,column_num:column_num+1]
        vertical_list.append(np.asscalar(np.int16(scanner)))
        row_num += 1
        if row_num == 20:
            column_num += 1
            row_num = 0
            
    product_list = []
    i = 0
    while i < 397:
        product_list.append(vertical_list[i] * vertical_list[i+1] * vertical_list[i+2]  * vertical_list[i+3]) 
        i += 1
        if (i+4) % 20 == 0:
            i += 4
    for product in product_list:
        master_product_list.append(product)

vertical_scan()

def horizontal_scan():
    horizontal_list = []
    column_num = 0
    row_num = 0
    while row_num < 20 and column_num < 20:
        scanner = a[row_num:row_num+1,column_num:column_num+1]
        horizontal_list.append(np.asscalar(np.int16(scanner)))
        column_num += 1
        if column_num == 20:
            row_num += 1
            column_num = 0
    
    product_list = []
    i = 0
    while i < 397:        
        product_list.append(horizontal_list[i] * horizontal_list[i+1] * horizontal_list[i+2]  * horizontal_list[i+3]) 
        i += 1
        if (i+4) % 20 == 0:
            i += 4
    for product in product_list:
        master_product_list.append(product)

horizontal_scan()
print(sorted(master_product_list)[-1], 'is the highest number in the grid')
time2 = time.time()
print('Total time elapsed to solve:', time2 - time1, 'seconds')
