>> Okay, here's a problem for you all to think about. This may be easy, may be hard. But here's a Hackenbush position. The two players are left, who is blue, and right, who is red. And the problem is, if left goes first, who wins? And if right goes first, who wins? Remember that the players alternate. Left alternates and, and, and cuts down blue edges. Rights can only cut down red edges. And for instance, if blue cuts down this, this edge down at the, the bottom, then, then this red edge here floats off. It's full of helium, floats off, and is no longer available through right. So, work on this problem. Don't look at the answer immediately. Go, go and sit, sit down with a piece of pencil, paper pen, or whatever and see if you can figure out who wins in best play if left goes first, who wins in best play if right goes first.