Max starts on his way to Pewter Town, for the first Gym Battle. On the way, he bumps into a mysterious man offering a chance at catching loads of Pokémon. “What do I need to do?” asks Max. The mysterious man replies “Here’s a map of Viridian Forest. You will begin at (8,10). Every grid has an unique Pokémon. But if your position is (a,b), you can only move to `(a,a+b), (a,a-b), (a+b,b), (a-b,b), (b-a,b)` and `(a,b-a)`. You can continue until you have no Pokémon under your reach.” What is the sum of digits of the maximum number of Pokemons Max can catch?