I Don’t Want to Win Lying Down

Xu Mang was quite unlucky. He originally thought that there would be a big group behind him, not to mention thirty professors, at least five associate professors, right?

result...

A polished commander, the majestic Zhejiang Provincial Mathematical Olympiad Competition, only one person wrote the question.

According to Mr. Teng, many people decided not to participate after they knew you were the one who made the question. Anyway, it’s useless to go in by themselves... It’s really sad to hear, and those who hear it cry.

In the temporary office,

Xu Mang lay on the chair, crossed his legs, with a bottle of iced black tea beside him, with a contented expression on his face.

There are still ten days,

Don't panic!

Hello?

Have you returned to the Magic City? Xu Mang received a call from Yang Xiaoman.

Go back tomorrow.

You're already at Jiangda? Yang Xiaoman said, Well...I met a lot of people, and everyone praised us, but I feel...a bit of a conscience, in fact, these credits are all your.

It doesn't matter.

Xu Mang stretched his waist, and said silently, I'll hang up first... I have to work.

Um...

Kiss me! Yang Xiaoman said greasyly.

Xu Mang froze for a moment, then silently pressed the end button...Looking at the interrupted call interface, he smiled.

Kiss a yarn!

Do you have the ability to hit me? !

Work!

First of all...it's the topic of the individual competition.

Since it is an individual competition, it is an occasion to show personal strength.

Xu Mang bit the tip of his pen, his brows were furrowed. According to international practice, the first question is a sub-question, and some points are often given to the contestants so that they don't lose too embarrassingly. But since they want to make changes,

It's just the difficulty that needs to be changed.

Send sub-questions?

Why is the first question a sub-question?

Which bastard prescribed it?

Xu Mang thought about it carefully. There don't need to be too many questions, but each question is just a proposition.

first question,

Xu Mang decided to use geometry directly!

In the convex quadrilateral ABCD, AB·CD=BC·DA, the point X is inside the quadrilateral ABCD, and the angle XAB=angle XCD, and the angle XBC=angle XDA.

Proof: Angle BXA + Angle DXC = Straight Angle

hey-hey...

Yes, yes! After Xu Mang finished writing the first question, he even laughed to himself. This is the devil!

well...

Xu Mang?

You are so handsome and smart, how will you let other young men in the world live? Xu Mang sighed, with the word 'sad' written all over his face.

Immediately afterwards,

Xu Mang started to write the second question.

A primitive lattice point is an ordered integer pair (x, y), where the greatest common divisor of x and y is 1. Given a finite primitive lattice point set S, prove that there exists a positive integer n and an integer a1 , a2, a3...aN, making it true for each (x, y) in S: a0x^n+a1x^n-1·y+a2x^n-2·y^2+... +an-1^n·xy^n-1+an·y^n=1

(°ー°〃) in deep thought~

(‵▽′)ψhehehe~

Xu Mang was overjoyed.

This kind of question can basically be called an anti-human question. If you don't have strong thinking ability and don't understand the concept of mathematical formulas, then you will definitely go to zero and don't even need to look back.

genius?

sorry,

Do at most two questions!

Xu Mang is absolutely confident about this. With regard to these two topics, Xu Mang took the last two questions of the just-concluded international mathematics competition as an example to conduct various analyzes and researches. It is said that this time the international mathematics competition failed the last two questions. A lot of people.

More than 500 people from more than 100 countries, the gossip said that only a dozen people got all the questions right, and about 30 people got one question right.

certainly,

The difficulty given by Xu Mang was not at the level of the international mathematics competition, so it was slightly lowered.

Otherwise it's really embarrassing.

...

Old Teng?

It's inappropriate for Xu Mang to come up with a question, isn't it? A professor approached the director of the Mathematics Department of Jiang University and said worriedly, Once this guy lets himself go, the consequences will be catastrophic!

Don't panic!

Zhejiang Province is so big, I believe there will always be a second Xu Mang. Teacher Teng said, We should be able to see it in this competition.

Facing the optimistic Teacher Teng, the professor smiled wryly. The second Xu Mang?

Old Teng!

x^n + y^n = z^n, this theorem was proposed in 1637, but it was only proved in 1995. The professor said: These three hundred years Where is the genius?

The Riemann conjecture was proposed in 1859, and it has not been solved yet. The professor said helplessly: Let's talk about physics again. Modern physics is still based on the framework proposed a hundred years ago. Research.

Don't be superstitious about geniuses!

Genius is something that you can't come across. The professor said, Hurry up and call Xu Mang back, or you'll really have to go out to work!

...

Teng Lai thought for a while, and silently took out his phone.

Hello?

Xu Mang, come to my office, Teacher Teng said.

moment,

Xu Mang came to the office with an excited face. Just now, he had completed nearly half of the papers for the individual competition, and all of them were propositions.

...

...

Teacher Teng and the professor looked at each other, feeling a little flustered in their hearts. It was the expression that they had just done something bad and hadn't been caught.

Xu Mang?

Looking at your happy face, are you...thinking about the Mathematical Olympiad? Teacher Teng asked.

Yes!

I have an overall idea. Xu Mang said with a smile, This idea is great!

...

Teacher Teng didn't know what to do for a while, and his colleague's words were not unreasonable. It was true that he hadn't thought carefully and shouldn't leave all the tasks to Xu Mang to complete.

Then what...

Just now I thought about it, it's a little inappropriate for you to take on such a heavy responsibility alone... Teacher Teng said: How about...you will complete the competition papers for the individual competition and the team competition. The papers... let the professor of our mathematics department finish it?

What do you think? Teacher Teng asked.

Individual and team competitions?

This can have!

When Xu Mang thought of the challenge, he felt a little headache. There were forty questions, and his body was almost empty.

good!

I'm in charge of the individual competition and the team competition. For the test papers of the challenge competition... find someone else. Xu Mang nodded, and said seriously, I mean, I can help with difficulty.

???

???

Difficulty help?

This is a little underestimating the mathematics department, right?

at this time,

The professor said, I'm talking about Xu Mang... We are majors in the Department of Mathematics! If we raise the difficulty of the topic, it will be quite scary!

Xu Mang shrank his head and said cautiously, Professor Wang, I want to experience it!

...

...

One is the dean of the Department of Mathematics of Jiang University, and the other is a professor of the Department of Mathematics of Jiang University. At this time, the two don't know what to do.

Unless he was asked to prove Riemann's conjecture, Hodge's conjecture, BSD conjecture... This kind of world-class math problem, general math problem, even if the Olympics were added in front, it would be difficult to defeat Xu Mang.

You are not within our range! The professor said seriously: Others come as they please!

However...

Never imagined,

Xu Mang was a fine guy.

This year's PUMaC champion, Yang Xiaoman from Fuda's Department of Economics, is my girlfriend... She can also challenge the so-called difficult problems of Jiangda's Department of Mathematics. Xu Mang said seriously: Professor... we black Feng Shuangsha accepts Jiang Da's challenge at any time!

this...

How did these two monsters get together?

This professor was quite helpless. This Yang Xiaoman had heard about it. Unlike Xu Mang, a non-human being, Yang Xiaoman was almost at the limit of a student. Even so, he was an invincible existence among students.

I said, why do you like to argue so much, brat? The professor said, Forget it, you are the head office of our difficulty consultant, right?

Can!

I wish it had been like this earlier! Xu Mang said with a smile, Professor, we have made an agreement. I am your difficulty consultant.

...

After two days,

Xu Mang's temporary office,

The professional papers for the individual competition of the Zhejiang Mathematical Olympiad Competition were completed. Although they were all completed the day before yesterday, Xu Mang made some adjustments to the first edition papers to meet the requirements.

certainly,

In the later stage, minor adjustments will still be made, such as adjusting the difficulty again. Although the difficulty has been adjusted once, it is still so difficult that it explodes in place.

well...

It seems that the so-called score questions are not stipulated by anyone, but forced. Xu Mang sighed. If the difficulty is lowered, the charm of this set of individual test papers will be lost.

never mind!

Do whatever you like, let the high school students in Zhejiang Province also experience how helpless they are when faced with the difficulties of world-class competitions.

Immediately afterwards,

Xu Mang started to write out the papers for the team competition.

Compared with individual papers, the number of questions is reduced, and the five sets of papers need to be divided according to difficulty.

With the difference in difficulty, the teachers who lead the team can formulate reasonable players. This is a game of psychology and strength.

According to common sense,

Generally, the first set of papers is simple, and then the difficulty increases step by step, and then the teacher leads the team to arrange tactics.

at this time,

Xu Mang remembered the strategy he had tailored for himself in high school, called Xu Mang's Game Theory.

don't even say,

A high school math teacher, Mr. Liang is simply a tactical genius. This kind of method can be imagined. Let other players crush in a stepwise manner according to their own strength, and then fight for the most difficult shot. Even if they lose, it’s okay. The previous points can be offset. The failure behind.

If the fight wins...then it wins.

certainly,

I have never let Teacher Liang down.

Let's abide by the rules, the game of psychology and strength is also a highlight of the competition.

Xu Mang just picked up the pen, and put it down within three seconds. He decided to go and see how the papers of the challenge competition were done, and as a difficulty consultant, he would play his role as a consultant.

moment,

Xu Mang came to a certain office.

push the door in,

Then he saw that Professor Wang and the two students beside him.

Hello, Professor Wang!

I'll take a look at how the test papers for the challenge are going, and let's get to know them by the way. Xu Mang walked over with a smile.

This professor is quite helpless, but there is no way, who let me promise him to become the so-called difficulty consultant.

However,

The two students next to the professor didn't know Xu Mang, so they were a little curious when they saw his student's appearance, but he acted like something.

Huh?

professor!

This question is very simple! Xu Mang looked at a few casually, and said seriously, I'll know how to solve the question by scanning it with the white of my eyes.

nonsense!

that is you!

The professor was speechless, and when he was about to speak, he was interrupted by his own students.

Why don't you do two questions? A student reminded me in 'kindness'.

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