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Hacktoberfest 2020 - coding style for project_euler problem 56 #3084

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45 changes: 22 additions & 23 deletions project_euler/problem_56/sol1.py
Original file line number Diff line number Diff line change
@@ -1,33 +1,32 @@
def maximum_digital_sum(a: int, b: int) -> int:
"""
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:
>>> maximum_digital_sum(10,10)
Returns the maximum from the list of SUMs of the list of INT
converted from STR of BASE raised to the POWER
>>> solution(10,10)
45

>>> maximum_digital_sum(100,100)
>>> solution(100,100)
972

>>> maximum_digital_sum(100,200)
>>> 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
return max(
[
sum([int(x) for x in str(base ** power)])
for base in range(a)
for power in range(b)
]
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()
print(f"{solution(100, 100)}")