And now six rectangles shaded in.

There's six of them and just to help you a little I give you one of them.

The trout are really torpedoes.

And in the right hand corner, you don't have to calculate anything.

I could write that there, but you can't see it.

Now the tricky part starts at n equals two and I will construct this for you, you can take over for three and four.

4 rectangles.

There's three ways.

That movement is the exact same movement as this right here.

3 rectangles. Half way there.

Major innovation happened in Japan.

And some of them are on black squares.

Who sneaks downstairs to peek at his Christmas presents?

I meant to catching the marlin instead of the 14 trout. Doesn't that sound good?

Please take my new chess board and on the first square, place one grain of wheat.

He can be two to front and one side ...

Mass winnings.

This river abounds in trout.

So, 77 is a better estimate of value for the state over here.

5 rectangles shaded in.

But let's see what is involved in this.

The screen is there to keep out flies but for my purposes each little square on the wire screen is like a pixel on a computer screen.

Mass communication and mass transit.

Come around the car!

They are labeled, 'A' all the way to 'H'.

You make sure to get around your eyes.

I keep taking 89s away until I get back below.

So the first thing we wanna thing about is how many equal sections do we have here.

You must fish in my trout stream.

For example, when I put eight grains on the 4th square, the eight is larger than the total of seven that were already there.

32 pieces, 64 squares.

So you see a maze with lots of discrete states.

Here is a sequence of MDP questions.

And let me attempt to shade in the rectangles as fast as possible.

We can make mine even bigger.

If you're a trout.

And how does this makes sense in the contex of this diagram right here?

Today, we're going to hear the world premiere of the perfect ping.

And by the same logic so there's two ways to get here.

He landed a big trout.

So let me draw it in another grid right over here.

That's not very scientific.

So there's 15 sections in here. You can also count it 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15.

God damn you, Rebi Ra!

And rockets blew self driven, To hang their momentary fire