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27 lines
683 B
Python
27 lines
683 B
Python
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def maximum_digital_sum(a: int, b: int) -> int:
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"""
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Considering natural numbers of the form, a**b, where a, b < 100,
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what is the maximum digital sum?
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:param a:
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:param b:
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:return:
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>>> maximum_digital_sum(10,10)
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45
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>>> maximum_digital_sum(100,100)
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972
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>>> maximum_digital_sum(100,200)
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1872
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"""
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# RETURN the MAXIMUM from the list of SUMs of the list of INT converted from STR of BASE raised to the POWER
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return max([sum([int(x) for x in str(base**power)]) for base in range(a) for power in range(b)])
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#Tests
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if __name__ == "__main__":
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import doctest
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doctest.testmod()
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