The training has started for a week. The topic is not difficult. It is mainly to help you find your hand.

After all, it's normal to slack off after a summer vacation.

Except for one person——

"No, why did she hand in her paper again? I only wrote one big question!"

"Do you want to take it like this?"

"I'm halfway, thank you."

"Look here, yo yo ~ I'm the one who's still reading the questions. I'm irritable. Chek makes trouble ~ you and me are the same in heart. They are all capital sleeping slots ~"

"Shut up! Your Turkish flavor rap has made my stomach crave overnight."

"I try to keep smiling. You have to break it down. It's not kind at all. You deserve to be abused by Jiang Fuyue, skr~skr~"

"..." fuck!

"Stop it, ancestor. I was bored to death by you before I was killed by the big devil."

"Who is to blame? They are all the pots of Jiang Fuyue, the great devil of the abyss."

"I think she should call - test paper shredder."

"Don't you think it's more appropriate to 'kill tyrants with difficulties'?"

"My God! I don't want to be in the same class as her!"

A group of new primary school chickens whispered and hung the same "life can't love" on their faces.

As usual, the Mathematical Olympiad class will expand its enrollment every semester. From senior one to senior three, it will sign up voluntarily and select through examination. Potential players will be taken away by Xu Jing and filled into the class.

Of course, the original members of the class can also choose to quit, but they should submit their applications one week in advance.

This time, eight old players left, most of them from senior two to senior three, ready to be busy studying.

All the people who spoke just now were new people, including five from senior one and three from senior two.

Before that, they didn't know Jiang Fuyue. Naturally, they didn't understand her terror.

Now I understand it slowly, but I'm not used to it.

A senior high school student in the front row turned his head and said, "it doesn't matter. It doesn't matter if he is crushed several times."

A primary school chicken: "? No, we refuse!

Senior three couldn't help frowning, and then sighed with regret: "OK, whatever."

I'm in a hurry to find a lesson. I can't stop it if I want to. I just hope I won't be abused too badly.

Cough... It's not good to cry.

There was a young man in this group who never spoke from beginning to end. His ears were full of chattering discussions and complaints. However, he looked as if he hadn't heard of it. He wrote the test paper like no one else. He wrote it quickly and accurately.

Except for the moment when Jiang Fuyue got up and handed in his paper, he glanced at him for a moment.

"Hey, talk about praise, don't you have any ideas?"

The boy raised his eyes, and the dark pupil flashed a deep light: "do the problem first."

The corner of his mouth at the same table said, "your name as a genius child prodigy is about to be robbed. Unexpectedly, you are still in the mood to do questions. Are you short of heart?"

The boy ran his pen like a flying brush and turned to the next page.

Deskmate: "well, I ate too much sea water - I asked you when my spare (salty) eggs hurt."

Cut!

……

The second person who handed in the paper was Ling Xuan, but it was also half an hour later than Jiang Fuyue.

Tan Jiaxu frowned, Kwai again to speed up his hand.

Ten minutes later, "teacher, I'm fine."

Suddenly attracted a sideways glance.

Jiang Fuyue and Ling Xuan handed in their papers ahead of time. Everyone was surprised, but the new... Seems to have two brushes?

This is the first time that Tan Jiaxu left an impression on the people in the Mathematical Olympiad class, especially the former old members.

After school, several freshmen walked together.

"Thanks, you can do it today! Mr. Xu's eyes look at you differently immediately."

The boy's expression was faint, and he even frowned: "what can I do? It's not slower than people."

"Hey? I can't say that. Jiang Fuyue and Ling Xuan have studied more than half a year than our advanced class!"

Tan Jiaxu: "the competition depends not on qualifications, but on strength. It's not a matter of time for someone to win the gold medal without learning."

"This......" several people didn't know how to comfort him.

"Oh, what are you afraid of? Jiang Fuyue and Ling Xuan are powerful, so we are not bad! Praise, you are recognized as a 'problem expert'. The more difficult the problem is, the more sober your mind is and the higher the accuracy is. You have the opportunity to find Jiang Fuyue to challenge the problem alone and see who is more powerful!"

Don't say, this opportunity will come soon

One day, after lunch, everyone consciously came to the Mathematical Olympiad class to get the test paper.

The whole training is basically based on questions, with at least two papers per day.

Usually, Xu Jing will move a chair and sit at the door of the classroom to "get tickets".

But today, the person sitting at the door of the classroom has become Jiang Fuyue

"Mr. Xu had a meeting in the district and asked me to replace him for a day."

The old member said: OK, no problem.

Jiang Fuyue's substitute class is not once or twice. After setting a precedent in the next physical competition class, she also left her graceful figure on the podium of the Olympic mathematics class.

But the new group of primary school chickens looked frightened.

"What?! is there something wrong with my ears? The teacher asked the students to substitute?"

"Should the operation be so coquettish?"

"Are you crazy?"

"Why didn't the others react at all?"

"Isn't it said that the first Olympic mathematics class is the strongest in Huaihe River and can be ranked in the country? That's it? It's too hasty?"

"Why should Jiang Fuyue... She is a student like us..."

Tan Jiaxu listened to the discussion around him, and his eyebrows tightened more and more.

"Zou Hao," he said suddenly.

"Ah? What's the matter? Praise?"

"When class starts in a minute, you..."

With that, Tan Jiaxu retreated with a cool face, but Zou Hao's eyes were shining and his eyes were excited!

When the class bell rang, Jiang Fuyue stepped onto the platform.

Almost at the same time, there was a figure below and stood up.

"Elder martial sister Jiang, why don't you wait for teacher Xu to come back."

Jiang Fuyue raised her eyebrows.

There was an uproar around.

Zou Hao shrugged and relaxed under the gaze of the crowd: "I think it's not good to let you substitute... Um... Not very good."

Jiang Fuyue: "what's wrong?"

"You are also a student? How can students teach students? Unless... You are strong, not to mention better than Mr. Xu, but at least more powerful than other students present, so as to convince the public, right?"

I was waiting for her here!

Jiang Fuyue smiled and followed good advice: "Oh, who do you think is better than me?"

Zou Hao's eyes lit up and said the name that had been brewing for a long time——

"Talk about praise!"

Jiang Fuyue's meal, er

"Who is talking about praise?"

Zou Hao: "

People: "......" the surface is silent, the heart is crazy, ha ha ha.

You think you're a character, but people don't even know who you are.

What could be more humiliating than that?

Jiang Fuyue vowed that she really didn't deliberately harm others. She really didn't hear the name.

As long as you've heard it, you won't have any impression.

After all, I handed in my papers too fast and left too early.

People: "..." I suspect you are engaged in Versailles literature, but I have no evidence.

"I'm talking about praise." a tall boy stood up in the back of the classroom.

Jiang Fuyue raised her eyes and looked at her. She was a very handsome primary school brother.

"How do you want to compare?"

Her directness stunned tan.

Zou Hao pulled him down on the table and then reacted: "... Do a problem."

The title comes from the latest issue of MT, the world's top mathematics magazine. It is written by inkala, a Finnish mathematician. So far, there is no correct answer published all over the world.

Soon, the original question was hit on the screen by the projector. Jiang Fuyue praised the peace talks, standing left and right in front of the fixed whiteboard, and answered it on the spot.

Givenanypositiverealnumbera,provethat,forallbutfinitelymanypositiveintegersv……

Given any positive real number a, please prove that all positive integers V satisfy: all graphs composed of V vertices and at least (1 + a) V edges have different simple cycles of equal length, except for a limited number of counterexamples.

(Note: simple circles do not allow the same vertices to appear repeatedly).

Ling Xuan, as a topic provider, naturally acted as a referee and said in a deep voice: "the time limit is two hours, and the timing begins."

"Sleeping trough! What's this? English?"

"I've memorized every word, but together... I'm sorry, I don't deserve it."

"West bar! Is this a math problem?"

"Come on, make a bet. Who will win?"

"I bet on breakfast, sister Yue will kill."

"A packet of spicy strips, Jiang Fuyue."

"Two meals of chicken grilled rice, believe in the moon god, get eternal life."

"Jiang Fuyue + 1"

“+2”

“……”

Someone in the small group was in a hurry: "Haozi, they are too much! Who do you despise?!"

Zou Hao gritted his teeth: "build a dream KTV bag, bet on praise and win!"

There was a silence, and then——