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59 lines
1.3 KiB
Python
59 lines
1.3 KiB
Python
"""
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By starting at the top of the triangle below and moving to adjacent numbers on
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the row below, the maximum total from top to bottom is 23.
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3
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7 4
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2 4 6
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8 5 9 3
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That is, 3 + 7 + 4 + 9 = 23.
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Find the maximum total from top to bottom of the triangle below:
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75
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95 64
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17 47 82
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18 35 87 10
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20 04 82 47 65
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19 01 23 75 03 34
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88 02 77 73 07 63 67
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99 65 04 28 06 16 70 92
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41 41 26 56 83 40 80 70 33
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41 48 72 33 47 32 37 16 94 29
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53 71 44 65 25 43 91 52 97 51 14
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70 11 33 28 77 73 17 78 39 68 17 57
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91 71 52 38 17 14 91 43 58 50 27 29 48
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63 66 04 68 89 53 67 30 73 16 69 87 40 31
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04 62 98 27 23 09 70 98 73 93 38 53 60 04 23
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"""
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import os
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def solution():
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"""
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Finds the maximum total in a triangle as described by the problem statement
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above.
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>>> solution()
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1074
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"""
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script_dir = os.path.dirname(os.path.realpath(__file__))
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triangle = os.path.join(script_dir, "triangle.txt")
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with open(triangle) as f:
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triangle = f.readlines()
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a = [[int(y) for y in x.rstrip("\r\n").split(" ")] for x in triangle]
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for i in range(1, len(a)):
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for j in range(len(a[i])):
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number1 = a[i - 1][j] if j != len(a[i - 1]) else 0
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number2 = a[i - 1][j - 1] if j > 0 else 0
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a[i][j] += max(number1, number2)
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return max(a[-1])
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if __name__ == "__main__":
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print(solution())
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