Project Euler Problem 56 Solution


A googol (1010010^{100}) is a massive number: one followed by one-hundred zeros; 100100100^{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, abab, where a,b<100a, b < 100, what is the maximum digital sum?