>> The purple like estimates from your pre-computed suboptimal value function? >> Yeah, so those are the values that we've estimated based on our prec-omputed strategy for the game. >> We can use those to compute the red basically? >> Yeah. >> Okay. >> So, the red is the real-time planning expected values. >> So, what's the right procedure? >> For time reasons, I decided to not really talk about how we're actually doing all this computation of the strategy. We use something called counterfactual rep minimization,