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Once again, picking up where we left off, let's go ahead and start these quotations.

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I just want to break them in a different videos because it seemed like.

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A lot of stuff to take in and just one video and the videos can get kind of long, so you know, this

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video can take a while for sure.

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So I'm going to start out with the simpler rotations, so.

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We'll start out with like left left and left right.

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So let's go ahead and start out with this left left.

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So do you know, pointer a real tree left left rotation?

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And so what am I going to do?

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Right off the bat is declared some pointers to our.

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Routes left, and I'm also going to do the routes left right, and so we'll look at the picture in just

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one second.

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So the path note calling and route that is going to be left, this RL is going to be the route left

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some tree.

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And then I'm going to do node pointer rlr equals or else right century.

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And so let's look at why we're going to do that.

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So let's look at that left last rotation.

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So I've labeled them right here, so we have the route which is getting passed to our function that's

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enroute.

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Then we have it's right, we have routes left and then we have routes left right, which is why I call

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it our alarm.

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And we're doing we're labeling these because we notice in these pictures that we are going to have to

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break this sub off and attach it to route when it gets moved here.

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So this is just basically each time we're going to have a few nodes, like three or maybe four nodes,

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depending on the type of rotation that we're doing that we have to keep track of when we're changing

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pointers and stuff like that.

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So let's kind of absorb the steps in this process.

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You might already be familiar with these from our first lecture, but let's just make sure that we understand

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what we need to do here.

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So this is a left left rotation.

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We are marking the route and routes left.

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And the first part of the rotation, we're seeing that what we do is we're basically just bringing this

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route down right here.

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So if you have the left left and we were just thinking about the simple example that we're going over

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these three nodes here.

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I kind of what we were wrote like involving in our really simple explanation of the rotations, and

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we just brought this thing down.

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So this route known as going here where this rlr blue note is and since is going right there, we need

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to kind of like, you know, we're moving this thing out of the way.

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And since route comes down here and it had this left sub three pointer on it, you noticed that this

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left some three pointer is just kind of dangling now.

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And, you know, since it was a left sub three pointer and since this blue node technically part of

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its left sub tree, she knows you had to go left to access this.

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That's why we're going to go ahead and attach this as the left some tree of route after we performed

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this rotation here.

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So let's go ahead and do that.

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So what I'm going to do is.

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Say the RL, I'm going to say, ah, ls, right, some tree, some and do that little attachment first,

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actually.

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So we're talking about RL here.

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So RL, it's raised some trees, and now we're now we're talking about the blue note.

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So that's what our ALS rate cemetery is.

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And what I'm going to do is set that to.

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The enroute.

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So RL, right, century.

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Gets set.

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To intrude so.

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That is doing this part right here.

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So I'm referencing that first, actually.

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Well, then we'll do this part next, so first part bringing this down and we're setting it to this

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is basically so are orals rites of tree, which is like this pointer here is getting set to intrude.

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So you can see that right here.

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Earl is now to enroute.

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And now let's do this part right here.

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So then we're going to say in enroute, it's left surgery.

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It's going to be set to rlr.

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So let's go back and look at that.

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So in roots left, some tree is being said to rlr because rlr was part of its left some tree in the

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beginning before the rotation there.

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So here we go.

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This is route left.

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Some tree is now rlr for our famous picture there.

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OK, so we're going to do a another thing here.

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So if the path node was the route, then we of course, need to update route to the new route.

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So I'm going to say that path node was the route then of that route.

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Like we're talking about our actual route of the tree needs to be updated.

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So.

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We knew it.

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So we're going to have to say if route equals enroute.

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So this is the case in which we were rotating about the true root of the tree, the top of the tree

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that node, then we're going to have to say that our new route is going to be our L right?

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So let's go back here.

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New route is RL, so let's imagine that we're not talking about this being a whole sub tree.

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You know, the in the in the case in which this is not just a sub tree like the case in which this is

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the root of the actual tree like the fully revealed tree starts here.

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In that case, once we perform this rotation, the new root of the whole tree will be this RL.

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So I'm not saying that.

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It's always the case, I'm just saying that, you know, sometimes we're talking about rotating a sub

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tree of the whole tree where this is some node in the sub tree, where the balance factor is off and

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sometimes the actual actual root of the tree balance factor is off.

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And so in that case, we need to change what we consider the true root of the tree, which is our private

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member called Root.

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So that is what I'm talking about.

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All right.

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So we set that and then we're going to return the root of the sub tree or the actual root, you know,

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which I'm just going to say, return RL in either case, because that's what it is.

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And then we go we have our rotation figured out, so let's go ahead and move on to the next one.

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So I'm going to say no evil three are our rotation.

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And then let's go ahead and declare these nodes just like before.

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I'm going to say, ah, for roots, right?

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So enroute right century and then I'm going to say R L and that's going to be R hours left, Sophia.

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So let's take a look at that because we're doing our rotation.

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So you notice we have this route, which is are for the route here, we have the right summary of the

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route.

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So ah, and then we have the right, some trees left.

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So these are what we're considering because similarly, you know, similar to this one is basically

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a mirror image we had rlr and now time we have ah, and this time we have our L because we're going

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to need to take this and attach it to the end route.

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Once we do our first rotation, so it's basically the opposite of what we just did.

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So let's make that happen right now.

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So we're going to go our hours left some tree, it's going to be enroute.

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So that's that first part.

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We're taking any route and we're moving it down.

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And so now we have hours left, sub tree is enroute.

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Hours left cemetery is in ruins.

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Then we say in roots, right, it's right cemetery.

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It's going to be our No.

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So.

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In Roots, Right Cemetery, so it's just left hanging there, and this was part of its cemetery originally,

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so we're saying it's right cemetery is the cemetery, our area which got detached from here.

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And that's the final picture we're ending up with there.

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OK.

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Same thing, we're going to need to do this kind of check here.

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So I'm going to copy that and paste, and then we'll just do a small change to make it PR because that

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is the new route.

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So if you want to see that again, our our is our new route, so that's why we're doing that.

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OK.

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So let's go ahead and move on to the next one.

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So our next one is going to be an R L rotation, right left rotation.

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So I'm going to, you know, pointer Avielle three hour L rotation.

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And so for this one, I'm going to say no pointer are equals in roots, right century, and I'm going

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to say no to R L equals r left surgery.

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That's true.

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OK, so let's take a look at this situation.

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We know this one's going to be a little bit more complicated and we're going to have to.

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Make a little more changes than we did previously with the pointers, so let's go ahead and check it

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out for this rotation.

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So.

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We're still going to be referring to three nodes, so we actually don't need to refer to any more nodes

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than previously.

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But we're going to have to.

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I'm just not making like temporary pointers to these ones that we're going to become detached and need

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to be changed and moved because I can just, you know, reference this guy's left and right.

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So that's why I'm still just making.

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Still just making our.

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Two, I'm sorry.

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It's actually just.

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Two extra.

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So previously, I made two pointers for besides enroute, and this time I'm doing the same, I'm making

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two extra temporary pointers to be able to reference stuff.

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So yeah, let's get to it.

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We have here, we have this RR, which I already declared and it's our L.

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So right here, our and our URL.

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So that is all set up.

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So what are we going to need to do first for this?

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Well, we're going to have to set what I'm going to do is actually set our hours left sub tree.

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To the drills, right, so tree, so I'm actually before I do this movement here.

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I know it's ideal to do the weave into kind of thinking about doing the rotation this way first, so

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we would like take our and move it down.

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To.

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B r ls sub Sudbury, so it's like this RL.

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It goes here between these two and then we move R down.

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So it's basically the way that we've been thinking about it with the two shifts is that RL would move

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here and it would be between these two and then we would have our move down.

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So RL would become the route into left.

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Sub three would be, Ah.

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So you know, that's why I have the R here with just the outline, because it came down, it was the

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route, but we moved RL here and then we rotated it all reality and we rotated it down.

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And so our I was at the top.

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It was the roots.

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But I'm going to do this part first.

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So what I'm going to say is that I'm going to actually change this one.

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I'm going to do this one for us, so we're going to be handling this right now.

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I'm going to say hours left sub three is going to be our else.

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Raise some trees to head the dark blue here.

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So this dark blue is actually going to become R's left some tree.

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So let's go ahead and do that.

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So I'm going to say are

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less tree?

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Get set to our LS rate.

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So tree, so and do that one first.

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And then the next thing that I am going to do is set this one right here.

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So I said, I want to do both these things before I actually do this rotation and change this pointer.

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So I'm going to.

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This is enroute America as it was right here.

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It's our actual one that we're rotating about.

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And so I'm going to set in roots right sub tree to our earl's left some tree.

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This is the turquoise one right here, so that is going to have to be attached to here.

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So that's what we do in roots, right century, Israel's left century.

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So let's do that in root, right century is our else this century.

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So got that out of the way.

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All right.

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So let's think about what we need to do next.

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Let's look at RL.

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So RL is our new route.

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And so we basically need to.

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Change what it's pointing to now because we moved it up.

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And we moved this one down, and now it has a different left and right cemetery.

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Than it did before, so previously it was these words right and left.

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So I left and right some trees and you know, those are now.

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Attached to these two guys, so we're going to have to update these right now, so this is a case in

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which this is moved down.

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And so now our else, I'm actually going to set this one first and say Earl's right.

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Zebari is going to be ah.

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And then we'll just also do our else left sub tree is going to be enroute.

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So let's go ahead and do both of those right now are else right?

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So tree is going to be our.

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And we're going to say our allies.

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Less than three, it's going to be equal to enrage.

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And that's basically all good to go because we've already solidified these subsidies.

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So that's kind of why it's a nice order to do this and because, you know, this is already attached

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to here and this is already attached to here.

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So now when we're setting these, we can rely on the fact that these subsidies are already complete.

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You know, this sub tree is attached to here in the subsidies attached to here.

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Now we can set the pointers for our new route here.

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So speaking of the new route, let's also go ahead and handle that.

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So I'm going to pass that right here, and, you know, our new rule is our L, so I'm going to set

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that if it's the case that it was the actual root of the whole tree.

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And then I'm going to return our URL.

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OK, so I went pretty smooth.

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Let's go ahead and do our final one.

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So this is going to be the l r so left right rotation.

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So do you l three l r allies.

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If that a real tree LR rotation.

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And so this one is going to be node r l in root left.

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So tree and node are our equals are L's right, so tree.

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Let's take a look at that.

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So.

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Left, right rotation.

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Our final one, so we have.

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The RL and rlr so are El and Al rlr as what we're considering this time and so very similar to the last

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one.

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You know, we're taking this, putting it right here.

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Bringing this in route, which is the route down, and then, you know, first I'm going to do these

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attachments, actually.

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Before I set the new Eilers left and right.

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So same thing.

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Let's go ahead and get to it.

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So let's set these two right here, so I'm going to do our else, right?

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So tree is equal to this blue and here are ours left.

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So let's go ahead and do that.

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R.l

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Island, you are al right.

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Sub tree is equal to our al are

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left some tree.

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Cool.

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And then, you know, the other one is going to be our enroute.

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So, you know, our interview got taken down here, so let's send it to this Terkel's turquoise guy,

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which is rlr right century.

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So let's go ahead and do that.

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I'm going to do in roots

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left some tree, the sequel to our

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right century.

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And then, of course, let's set our new routes left and right pointers, since these are all set up

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with the sentries.

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We're going to do said it to our Elsa rlr as leftist Earl and rlr Wright is enroute.

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So let's go ahead and do this.

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Right our left.

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So tree is going to be our ally and our our great century is going to be a bit.

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And then we got to do this, too.

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So what we're doing is we're actually setting to rlr because that is the new route.

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If we go back here rlr is our new route in the final.

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So it looks like this.

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OK, so now we got all of our rotations here.

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So actually, I know I've made a lot of videos for this, but I'm going to just have a short next video

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edit right here.

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And the next video is just going to be us printing out the tree.

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You know, we'll we'll fix up our main because right now I just have like this hello world in Maine,

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and we will go ahead and print out our tree and confirm that it works and everything like that.

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So with that, I will see you in the next.