Problem 56: Powerful digit sum

*Difficulty: Easy


A googol (10100) 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, ab, where a, b < 100, what is the maximum digital sum?

How to solve :

Well, I consider this is a warm up problem for me to solve be using Python. So the only solution that I came up with was Brute Force

Python 2

Screen Shot 2016-07-13 at 1.26.30 PM

Solution took >700 ms (quite long though)