mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-28 07:21:07 +00:00
44254cf112
* Rename all Project Euler directories: Reason: The change was done to maintain consistency throughout the directory and to keep all directories in sorted order. Due to the above change, some config files had to be modified: 'problem_22` -> `problem_022` * Update scripts to pad zeroes in PE directories
46 lines
1.0 KiB
Python
46 lines
1.0 KiB
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()
|