Python/project_euler/problem_56/sol1.py

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"""
Project Euler Problem 56: https://projecteuler.net/problem=56
A googol (10^100) is a massive number: one followed by one-hundred zeros;
100^100 is almost unimaginably large: one followed by two-hundred zeros.
Despite their size, the sum of the digits in each number is only 1.
Considering natural numbers of the form, ab, where a, b < 100,
what is the maximum digital sum?
"""
def solution(a: int = 100, b: int = 100) -> int:
"""
Considering natural numbers of the form, a**b, where a, b < 100,
what is the maximum digital sum?
:param a:
:param b:
:return:
>>> solution(10,10)
45
>>> solution(100,100)
972
>>> solution(100,200)
1872
"""
# 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
if __name__ == "__main__":
import doctest
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doctest.testmod()