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109 lines
4.4 KiB
Python
109 lines
4.4 KiB
Python
"""What is the greatest product of four numbers on the same straight line in the 20 by 20 grid?
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In the 2020 grid below, four numbers along a diagonal line have been marked in red.
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08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08
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49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 04 56 62 00
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81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 03 49 13 36 65
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52 70 95 23 04 60 11 42 69 24 68 56 01 32 56 71 37 02 36 91
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22 31 16 71 51 67 63 89 41 92 36 54 22 40 40 28 66 33 13 80
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24 47 32 60 99 03 45 02 44 75 33 53 78 36 84 20 35 17 12 50
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32 98 81 28 64 23 67 10[26]38 40 67 59 54 70 66 18 38 64 70
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67 26 20 68 02 62 12 20 95[63]94 39 63 08 40 91 66 49 94 21
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24 55 58 05 66 73 99 26 97 17[78]78 96 83 14 88 34 89 63 72
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21 36 23 09 75 00 76 44 20 45 35[14]00 61 33 97 34 31 33 95
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78 17 53 28 22 75 31 67 15 94 03 80 04 62 16 14 09 53 56 92
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16 39 05 42 96 35 31 47 55 58 88 24 00 17 54 24 36 29 85 57
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86 56 00 48 35 71 89 07 05 44 44 37 44 60 21 58 51 54 17 58
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19 80 81 68 05 94 47 69 28 73 92 13 86 52 17 77 04 89 55 40
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04 52 08 83 97 35 99 16 07 97 57 32 16 26 26 79 33 27 98 66
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88 36 68 87 57 62 20 72 03 46 33 67 46 55 12 32 63 93 53 69
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04 42 16 73 38 25 39 11 24 94 72 18 08 46 29 32 40 62 76 36
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20 69 36 41 72 30 23 88 34 62 99 69 82 67 59 85 74 04 36 16
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20 73 35 29 78 31 90 01 74 31 49 71 48 86 81 16 23 57 05 54
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01 70 54 71 83 51 54 69 16 92 33 48 61 43 52 01 89 19 67 48
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The product of these numbers is 26 63 78 14 = 1788696.
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What is the greatest product of four adjacent numbers in any direction (up, down, left, right, or diagonally) in the 2020 grid?
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"""
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GRID = """
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08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08
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49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 04 56 62 00
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81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 03 49 13 36 65
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52 70 95 23 04 60 11 42 69 24 68 56 01 32 56 71 37 02 36 91
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22 31 16 71 51 67 63 89 41 92 36 54 22 40 40 28 66 33 13 80
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24 47 32 60 99 03 45 02 44 75 33 53 78 36 84 20 35 17 12 50
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32 98 81 28 64 23 67 10 26 38 40 67 59 54 70 66 18 38 64 70
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67 26 20 68 02 62 12 20 95 63 94 39 63 08 40 91 66 49 94 21
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24 55 58 05 66 73 99 26 97 17 78 78 96 83 14 88 34 89 63 72
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21 36 23 09 75 00 76 44 20 45 35 14 00 61 33 97 34 31 33 95
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78 17 53 28 22 75 31 67 15 94 03 80 04 62 16 14 09 53 56 92
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16 39 05 42 96 35 31 47 55 58 88 24 00 17 54 24 36 29 85 57
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86 56 00 48 35 71 89 07 05 44 44 37 44 60 21 58 51 54 17 58
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19 80 81 68 05 94 47 69 28 73 92 13 86 52 17 77 04 89 55 40
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04 52 08 83 97 35 99 16 07 97 57 32 16 26 26 79 33 27 98 66
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88 36 68 87 57 62 20 72 03 46 33 67 46 55 12 32 63 93 53 69
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04 42 16 73 38 25 39 11 24 94 72 18 08 46 29 32 40 62 76 36
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20 69 36 41 72 30 23 88 34 62 99 69 82 67 59 85 74 04 36 16
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20 73 35 29 78 31 90 01 74 31 49 71 48 86 81 16 23 57 05 54
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01 70 54 71 83 51 54 69 16 92 33 48 61 43 52 01 89 19 67 48
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""".strip().replace('\n', ' ').split(' ')
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GRID = [int(n) for n in GRID]
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def product(l):
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p = 1
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for n in l:
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p = p * n
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return p
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def main():
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max = 0
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info = None
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for row in range(1,20):
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for col in range(20):
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pos = 20 * row + col
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if col <= 16:
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# Horizontal
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r = GRID[pos:pos+4]
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x = product(r)
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if x > max:
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max = x
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info = [col, row, '-', r]
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if row <= 16:
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# Vertical
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r = []
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for i in range(4):
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r.append(GRID[pos + 20 * i])
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x = product(r)
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if x > max:
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max = x
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info = [col, row, '|', r]
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if col <= 16:
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# Diagonal (\)
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r = []
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for i in range(4):
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r.append(GRID[pos + 20 * i + i])
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x = product(r)
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if x > max:
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max = x
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info = [col, row, '\\', r]
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if col >= 3:
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# Diagonal (/)
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r = []
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for i in range(4):
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r.append(GRID[pos + 20 * i - i])
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x = product(r)
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if x > max:
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max = x
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info = [col, row, '/', r]
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(col, row, direction, l) = info
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print 'Max Product is {p} at row {row}, col {col} ({d}): {l}'.format(p=max, row=row, col=col, d=direction, l=l)
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if __name__ == '__main__':
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main()
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