And I want to redo that in a little more detail today, because I felt like I did that a little more quickly than I wanted to, so, if you really got binary search, fall asleep for about ten minutes, just don't snore, your neighbors may not appreciate it, but we're going to go over it again, because it's a problem and an idea that we're going to come back to, and I really want to make sure that I do this in a way that makes real good sense you. 