Alright, so you want to look at the solution of this. So let's, let's try to solve it. This is not the only possible argument. But let's say, let's try to see what's going on. So if blue goes first that's left. Then, then there's only two edges available for blue and there more or less the same. So blue will cut this. Now if you think about it and therefore thi, this right edge, this red edge up here is, floats off. Right can either do this or this. But right's best move is to move here, because, if right doesn't cut this now, then blue will cut down the blue below it next time. And then right will, will be without a move. So right that's the best move for right after blue does this. So let, let, let's label these 1 2. Then, then blue left only has 1 move left. So that's got to be this one 3. And then right only has 1 move left so that's get cut, that's 4. And now it's blue's turn. It's left's turn. No moves available, so left loses. So if left goes first then left loses. Alright, let's take a look and try to see what happens if right moves first. Right moves first. Again, you can either look at all possible cases or you can look at it and try to figure out what the best opening move for right is. And the best opening move for right is either this one or this one. Because, because of this, this threat from, from left to chop down below and, and get rid of that right move, right may as well take this move while, while he or she can. Now, left at this point might as well chop down a right and so that happens. And now this right is unavailable. This all flows up off the page. Let's see if now left. It's now rights turn so this was 1, 2. Right's turn is 3. Right cuts that. And now left cuts this. And now, well, it's rights turn and there's no moves, so right loses. Going back to the original picture. This says that if right goes first, right loses. Okay, so if you got this, great. Make up other things and, and try them out for, for yourself. It. If you have some difficulty with that let us know what, what the problems were. Go through the solutions carefully, and see if you can't fi, pizz, puzzle it out. And, and we'll see you all next time, with week two. Take care.