There are more states to calculate than atoms in the universe so it isn't possible to brute force the problem. Maybe it can be solved, but it will require math.

To be fair, on this scale, “the total number of atoms in observable universe” is quite a small number.

Even 52! comes pretty close to it, and that’s just one deck of cards.

Saying there are merely “more” states is almost insulting to the depth of a chess game :)