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"""Project Euler problem 18""" | ||
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def calculate(triangle): | ||
"""Returns the maximum total from top to bottom by starting at the top | ||
of the specified triangle and moving to adjacent numbers on the row below""" | ||
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def calculate_helper(row, col): | ||
"""Returns the maximum path value of a specified cell in the triangle""" | ||
if row == len(triangle): | ||
return 0 | ||
return triangle[row][col] + max( | ||
calculate_helper(row + 1, col), calculate_helper(row + 1, col + 1) | ||
) | ||
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return calculate_helper(0, 0) | ||
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TRIANGLE = [ | ||
[75], | ||
[95, 64], | ||
[17, 47, 82], | ||
[18, 35, 87, 10], | ||
[20, 4, 82, 47, 65], | ||
[19, 1, 23, 75, 3, 34], | ||
[88, 2, 77, 73, 7, 63, 67], | ||
[99, 65, 4, 28, 6, 16, 70, 92], | ||
[41, 41, 26, 56, 83, 40, 80, 70, 33], | ||
[41, 48, 72, 33, 47, 32, 37, 16, 94, 29], | ||
[53, 71, 44, 65, 25, 43, 91, 52, 97, 51, 14], | ||
[70, 11, 33, 28, 77, 73, 17, 78, 39, 68, 17, 57], | ||
[91, 71, 52, 38, 17, 14, 91, 43, 58, 50, 27, 29, 48], | ||
[63, 66, 4, 68, 89, 53, 67, 30, 73, 16, 69, 87, 40, 31], | ||
[4, 62, 98, 27, 23, 9, 70, 98, 73, 93, 38, 53, 60, 4, 23], | ||
] | ||
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if __name__ == "__main__": | ||
print(calculate(TRIANGLE)) |