So now let's just take a step back. What we've done in this exercise is a rough approximation of the various dimensions that might lead to an empire rising. It's by no means comprehensive. And I suggest for you to think about what dimensions would you add to this? Maybe you could add a political dimension, or maybe that's captured by leadership. Maybe you would add an economic dimension, how much wealth a nation has. And as we go forward in history, we're gonna see different weights on these different dimensions for how important they are for empire formation.