Python/project_euler/problem_56/sol1.py
2019-10-05 10:14:13 +05:00

33 lines
746 B
Python

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()