It's me. We may have a wife problem.

That made the problem all the more complicated.

But in general well, let's try the quadratic equation.

So what can we do about it?

Well then, I guess it's all about trust, then, isn't it?

We need that problem to be NP hard. How do we show that that problem is NP hard.

But out of all of all of these The one that is most typically used in algebra Or really in all of mathematics is the variable x

Try solving the problem.

We're going to have to deal with that same sort of issue in programming languages,

It's always about taste.

We're thinking about abstract things.

One is leverage.

Just a tiny little nuclear problem in Moldova.

Harvard asked me to I wasn't that guy. (Laughter)

I think history proves him wrong in the follow sense

The political fight that we've developed has become one around whether it's the government that's the problem or is it insurance companies that are the problem.

Let's start with a warm up problem to avoid getting any mental cramps as we learn new things.

Their happiness is your happiness. Their sadness is your sadness.

Well, we could use it to solve Y.

We want to show that some problems in NP hard we got some problem, we have to show that we can reduce some other NP hard problem to it.

And to ensure it has a remainder,

I started publishing papers.

Welcome to the presentation on level one exponent rules.

So we enter it in the problem database.

Failed to load script from archive. There is something wrong with the desktop file.

Like stealing the question paper... from the lion's den

But that's not the hard part.

So here I'm going to actually define some environments in Python rather than drawing pretty pictures of them, and we're going to run through some practice problems to make sure we understand this.

Attacking our national laws, is not something that we want to see

And it's just the distributive property.

Imagine that we want to solve an instance of problem Y, we can imagine building a solution algorithm, an algorithm for Y, that what happen inside is instance of problem Y gets transformed in some way between instance of problem X or may be multiple instances of problem X.

Click on this button to get to the next question.

Click this button to get the next question.

And what if we could?

I'll reconsider the matter.

Collecting problem information

All right so let's do some swapping. So, here's how it works.

It's a very exciting time because today we understand that, but we have these problems that we need to address.

So I looked for quality information.

Now for a quiz..

And, again, that was just for the joy of it.

Your problem is similar to mine.

It was balanced before, half of each side, so it's going to be balanced again. But there, we've done it.

And that's really, really a problem.

Roadblocks, Sister.