I really don't want to lie down and win

"You can't use your standard to judge others." The professor said seriously: "If you use your standard to write questions, it will basically be zero."

Uh?

Xu Mang?

The professor said he was Xu Mang?

The two students looked a little surprised. They had heard of the name Xu Mang before.

"Xu Mang?"

"The legendary Xu Mang is you?" Another student looked at Xu Mang and asked curiously, "I've read your thesis, it's really awesome!"

"That's natural!"

"After all, I'm a great spokesperson." Xu Mang was not humble either, and said with a smile, "I'm born to be awesome!"

"..."

"..."

"..."

Others say things like this,

It's funny to listen to it, because it's a joke in itself.

But Xu Mang...

I feel very angry when I hear it!

Because he's telling the truth.

"Xu Mang...it's almost done." The professor said helplessly, "You can go back."

"Don't!"

"I'm here to guide the work, professor... just let me guide you, just so your students are here." Xu Mang used his brains, and said with a smile: "I just came up with a question, this question This is my latest understanding, and the difficulty is basically close to that of international competitions, do you want to experience the real difficulty?"

The coach thought for a while, looked at his students, and asked, "What do you think?"

in fact,

These two students really wanted to challenge Xu Mang's difficult problem, especially when they heard that it was an international competition level problem, their desire to challenge became even stronger.

"it is good!"

"I can too."

After getting a response, the professor said to Xu Mang, "Then let's try."

moment,

Xu Mang took a blank piece of paper and began to come up with a proposition for the two challengers.

Let PA1A2...Ak be a convex polygon on the plane, the vertical and horizontal coordinates of vertices A1A2..., Ak are integers, and they are all on a circle, the area of ​​P is recorded as S, and n is a positive odd number, satisfying The square of the length of each side of P is an integer divided by n.

Proof: 2S is an integer and is divisible by n.

Completed!

Xu Mang raised his head with a smile, and saw the cute looks of the two of them, very much like his past self.

"let's start?"

"I'll give you two hours." Xu Mang said, "There shouldn't be any problem, this is a topic for high school students."

"..."

"..."

Is this a high school question?

Believe it or not?

Looking at the smiling Xu Mang, the two were instantly filled with helpless anger.

As a top student in the Mathematics Department of Jiang University, I didn't know how to face this problem for a while.

two hours...

Maybe, just saying it's possible... If the thinking is wrong, it can't be solved in two hours.

at this time,

After glancing at Xu Mang's question, the professor asked Xu Mang, "Xu Mang, are all your questions so inhumane?"

Xu Mang: 囧

What does it mean to be inhuman?

Why is there no humanity?

Looking at this topic at a glance, it is full of love for the players!

This difficulty, this creativity, and this thinking are all love!

finally,

These two students from the Department of Mathematics of Jiang University did not do Xu Mang's non-human problems. Of course, they could do it, but it would take a lot of time. Currently, the Zhejiang Provincial Mathematical Olympiad was very tight, so they gave up.

And Xu Mang...

achieved his goal.

Appropriate added some difficulty to the challenges.

"Is it suitable?" A student asked curiously, "Xu Mang...is it too difficult?"

"It's not difficult!"

"Do you find it difficult?" Xu Mang asked.

"Difficult...not difficult, but don't forget, this is a group of high school students!" The student said, "Your topic has already involved universities."

Xu Mang nodded, and said silently, "These contestants are the elites of Zhejiang Province. It's not an exaggeration to describe them as geniuses, right? Since they are so-called geniuses, there is no problem, because they can be solved completely with high school knowledge. Yes, but a little more troublesome."

The student quite agreed with Xu Mang's point of view. Although it involved university knowledge, he could use high school knowledge to solve the problem. There was no problem, but the process and verification would be a little cumbersome.