It is difficult, indeed.

Do they have a common cold?

And h of x is equal to 5x. Now I'm going to give you a tough problem.

Who is going to pay for it?

The birth rate is not the only problem we're facing.

It is a political issue.

And this is also a political issue.

We won.

This problem seems difficult.

These are the results of the hard problem I gave you

I'll leave the politics to you, Senator.

Not the drug in itself, but the treatment and the care which is needed around it.

Due to some political problems that are being resolved...

Now that we've talked about reduction, we can revisit that definition and say a problem X is NP hard if we can reduce some other NP hard problem to it, what that really means is we can use a solution to problem X to solve some NP hard problem, that means that solving X has to be at least as hard as the NP hard problem making it therefore NP hard.

This is a difficult problem to solve.

This problem is a real challenge.

It's not good for you in the long run.

What's yours?

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 now you've put in front of me the one thing, the one thing that is gonna make this unbearable.

But you're young, you could still try again.

(Applause)

The problem is difficult to solve.

This problem is difficult to solve.

Therefore, it is easier to apply geo strategic filters than to try to understand what's happening inside the country.

This woman poses no threat to me or the peace process.

So with flutes, with golf carts, and even with a fiercely contested question

This is a difficult math problem.

This if we ask the time that this takes is going to be 23 units.

So there, we got it right.

Same for mid air. Multiply 3 up to 6.

look nutty and horrible like this.

And the second important property is that X itself is in NP.

But the secular minded people can be influenced by that.

If you think about the issues our parents tried to solve in the 20th century, issues like racism, or sexism, or the issue that we've been fighting in this century, homophobia, those are hard issues.

He told his doctor, who published a case report in a Canadian medical journal under the title,

We can get over the problem without difficulty.

This question is too difficult for me.

I had difficulty working out the problem.

It is a difficult problem.

Now I'm finally going to make, as my final quiz, a really challenging question for you.

Now we are going to have a quiz to see that you understand while loops, as well as break.

Anyway, hope you found that helpful.

And I won't be able to say too much about it.

The sum of the Yis, is a particularly challenging question.