You make it sound like a long walk.

A shortrange transmission.

No. It's a shortrange fighter.

Very dangerous over short distances.

It's a marathon, not a sprint.

I'm wasted on crosscountry. We Dwarves are natural sprinters.

We could have said something like this distance, but this distance wouldn't be the shortest distance between this point and this line.

So let's just leave that unlabeled right now.

So the running time of Dijkstra in terms of n and M and here's a sketch of the algorithm again.

But let's take a look at the running time given that we can do this distance reduction operation in logarithmic time.

Ten miles is not a short distance.

These are supposed to simulate the actual form of a sprinter when they run.

So she's going to make some distance up so he's not going to have to travel quite as far.

The answer I want to see is 7 and not 6.

So it would be the distance around.

What do we do as long as there's more nodes that we need to analyze,

There will probably be this point right here because the distance from there to there is this name as the distance from if you just drop a line straight down.

Distance

Distance exponent

At a distance of

Distance

And the other thing to think about, and we already did that in the previous drawing of the ellipse is, what is this distance?

These two focal lengths are symmetric.

SS Yes, there you go.

We can lock it down, and that finishes the picture.

So, following sort of a naive kind of algorithm design, well, this should work and it's not so terrible.

So really, if we're honest, Peach is kinda accidentally playable in this one.

And why it's important is that for this vertex if you sum up the distances to the 2 hubs, which you have, you will get the shortest path distance.

Slice distance

Distance Test

Angular Distance

Angular distance

But I have a strong feeling he'll be there. ( ominous theme playing ) How far is it?

2200 feet.

How much further?

How far?

Distance.

Distance.

Here's the sketch of the algorithm again.

A man who already is our president Barack Obama. Applause and chanting four more years

So if this distance is the same as this distance, then the magenta distance minus this blue distance is going to be equal to this green distance.

light blue distance?

Let's think about it for a little bit, you'll see there is really only two possibilities.

So it would be that distance plus that distance plus that distance plus that distance.

That's just this distance right here.