Thanks for the video! 2:27 shows the process. They go letter by letter in order and then ask yes or no. I think asking about the next letter based on previous letters would vastly improved the speed
Is binary search really the most practical? Can most people answer questions like "Is P after M" without a lot of thought and counting out all the letters one by one starting at one of the input letters?
A basic markov chain predictor seems like it could work, if you had a short enough window to be sure it couldn't invent its own nonsense.