mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-27 23:11:09 +00:00
4b6f688344
* Use compiled black as the pre-commit formatter * ruff-format * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci * Keep GitHub Actions up to date with Dependabot --------- Co-authored-by: Christian Clauss <cclauss@me.com> Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
42 lines
1009 B
Python
42 lines
1009 B
Python
"""
|
|
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
|
|
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()
|