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44 lines
1.0 KiB
Python
44 lines
1.0 KiB
Python
"""
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Project Euler Problem 56: https://projecteuler.net/problem=56
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A googol (10^100) is a massive number: one followed by one-hundred zeros;
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100^100 is almost unimaginably large: one followed by two-hundred zeros.
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Despite their size, the sum of the digits in each number is only 1.
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Considering natural numbers of the form, ab, where a, b < 100,
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what is the maximum digital sum?
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"""
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def solution(a: int = 100, b: int = 100) -> 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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>>> solution(10,10)
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45
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>>> solution(100,100)
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972
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>>> solution(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
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# BASE raised to the POWER
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return max(
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sum(int(x) for x in str(base ** power))
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for base in range(a)
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for power in range(b)
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)
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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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