And what we have right here is a fairly classic problem. And what I want to do is

Think about what the properties of these solutions might be.

Those are the inputs. The question is can v be reached in fewer than k steps from u?

Maybe that messes it up.

I'd like now to generalize this to a 2 dimensional problem.

So say the probability of an even number.

And they're telling us that x is equal to 1, y is equal to negative 2, and z is equal to 4.

Now let's see how the definition of a problem maps onto the route finding, the domain.

How many times does twenty eight go into two hundred thirty eight?

And in that case, again, you may be wrong.

Very powerful.

Nothing changes between every time we turn on the light.

Because it's going to be little less, and it's negative.

Now, in this picture it's not really clear what's going on inside of these.

How does that work?

Bring me into that orbit. Now, consider this.

But how many girls are in the room?

10x 3y

Consider Four men murdered?

So this number actually is divisible by three.

We've cut it up into sections of 8, so it literally is 8 8.

What can explain these huge spillover effects of education?

If it's already positive, it stays positive.

And if we can, we've found the solution, or maybe we've found several solutions.

how far apart, in centimeters, are the two cities on the map?

They're giving us y squared minus x, whole thing squared. x is equal to 2 and y is equal to 1.

I took away fifteen fruit?

Let me do it like this.

And you might be thinking well gee, how can that happen?

So before even reading these statements,

What we need to think about, though, is the base case, which isn't given.

And we devalue it in three areas.

I'm charging some other percentage of interest.

So this is going to be 3.457 times 10 to the negative 10 power

So let's do that.

So then how many times does 15 go into 78?

Put the 2 in the ones place, 4 we will carry.

With that you can't do much.

Does that make sense to you?

So why is this even useful?

So why did I construct this function this way?

And we were looking at that sentence.

It basically never happens.

I will tell you if you wish.

Well, you might say well, let's see