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def maximum_digital_sum(a: int, b: int) -> int:
"""
Considering natural numbers of the form, a**b, where a, b < 100,
what is the maximum digital sum?
:param a:
:param b:
:return:
>>> maximum_digital_sum(10,10)
45
>>> maximum_digital_sum(100,100)
972
>>> maximum_digital_sum(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
return max(
[
sum([int(x) for x in str(base ** power)])
for base in range(a)
for power in range(b)
]
)
# Tests
if __name__ == "__main__":
import doctest
doctest.testmod()