potential values for prices that I could use number two I didn't say anything about the threshold right so like what's going on with the threshold and so in I'll show you the theorem in a second one of one of the things we're doing in the background here is that as n is getting larger we're varying the threshold that we use and we're doing so in an optimal way given the two prices that are chosen right so we're kind of favorably biasing the dynamic pricing policy to pick the best threshold that we could given the two prices that were