#!/usr/bin/env python3
"""
Created on 07 Oct 2021

@author: David Doblas Jiménez
@email: daviddoji@pm.me

Solution for problem 56 of Project Euler
https://projecteuler.net/problem=56
"""

from utils import timeit


@timeit("Problem 56")
def compute():
    """
    A googol (10^100) is a massive number: one followed by one-hundred zeros;
    100100 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, a^b, where a, b < 100, what is the
    maximum digital sum?
    """

    ans = 0
    for a in range(100):
        for b in range(100):
            num = sum([int(digit) for digit in str(a ** b)])
            if num > ans:
                ans = num

    return ans


if __name__ == "__main__":

    print(f"Result for Problem 56: {compute()}")