diff --git a/project_euler/problem_56/sol1.py b/project_euler/problem_56/sol1.py index 98094ea8eb28..a80a7e3dfcd3 100644 --- a/project_euler/problem_56/sol1.py +++ b/project_euler/problem_56/sol1.py @@ -1,33 +1,38 @@ +""" +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 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: + Returns the maximum from the list of SUMs of the list of INT + converted from STR of BASE raised to the POWER >>> 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) - ] + 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 +def solution(a: int = 100, b: int = 100) -> int: + """Returns maximum digital sum""" + return maximum_digital_sum(a, b) - doctest.testmod() + +if __name__ == "__main__": + print(f"{solution(100, 100)}")