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Chapter 117 Brother Qiao getting serious—it’s simply terrifying!
Yuan Zhengxin carefully read through the questions raised by Qiao Yu and Pan Jingyuan's answers. When he looked up at his professor, he found that Professor Pan had dark circles under his eyes.

I couldn't help but smile subconsciously and said, "Xiao Pan, thank you for your hard work."

Pan Jingyuan smiled bitterly and said, "Mr. Yuan, you are really working hard. I feel like I have never worked so hard when I was doing a project. This kid asked questions from a tricky angle. I had to think carefully before I dared to answer him in the middle of the night. As a result, he kept asking questions. I thought about not replying, but I was afraid of dampening his enthusiasm..."

As he was talking, his phone started to vibrate again. Pan Jingyuan subconsciously picked it up and took a look, then immediately complained, "Oh my goodness, it's happening again."

Then he took out the phone and handed it to the old man to take a look.

"Will the isomorphism in this part of the proof be very dependent on the specific choice of G? So G will also cause the properties of some geometric objects to change, which may cause the isomorphism to fail? Hmm... this question?"

The old man looked at Pan Jingyuan and asked curiously, "Is this the question in your paper?"

Pan Jingyuan nodded, took a deep breath and said, "Yes, the question he asked involves the local system LocSys and the global differential cohomology IndCohNilpglob. The purpose of this part of the proof process is to analyze the geometric objects on the algebraic curve and to make a global unified description by expressing the geometric data related to the automorphic form."

The old man continued to ask: "Does his doubt make sense?"

Pan Jingyuan replied: “It does make sense, but in our proof, we implied the global properties of the local system and also showed that it may fail in certain situations, such as when there are singularities.”

"Oh." The old man nodded, also a little confused.

He couldn't figure out what Qiao Yu was trying to do.

He had previously expressed his intention to recommend Qiao Yu to join the research group, but of course he was just going to be a handyman to experience the atmosphere of the world's most cutting-edge research. But he decisively refused. Now he has downloaded the paper and is eager to analyze it point by point.

and many more……

"Does he understand?" The old man suddenly reacted and looked at Pan Jingyuan.

Pan Jingyuan sighed in his heart, time is not forgiving... Old Yuan just reacted.

So I nodded naturally and answered: "Not only did he understand it, but I felt that he was trying to find loopholes in the paper. Every question he raised was very targeted, and there were even two questions that we hadn't thought of at the time."

Yuan Zhengxin nodded slightly, thought for a moment, and asked, "What do you think?"

Pan Jingyuan immediately said, "What I mean is, why don't we just ask him to come to Huaqing for a few days, and I'll spare some time to explain it to him. The efficiency of communication via WeChat is really too low."

Whether it was to save face for the old man or for Qiao Yu himself, Pan Jingyuan was not opposed to having a deeper academic exchange and discussion with Qiao Yu. But he really couldn't stand being bombarded with all kinds of questions on WeChat.

No one can bear it.

It would be fine if the questions were all meaningless and he could just brush them off, but the questions Qiao Yu asked were obviously carefully thought out and to the point.

He needs to think carefully before answering.

The result was that Qiao Yu's last question last night was indeed asked at around one o'clock. After he answered it, Qiao Yu politely told him that he was going to rest and asked him to go to bed early as well.

But people who often work at night will know that if the brain has just gone through high-intensity thinking and then cannot fall asleep in bed, he will still feel a little sleepy.

and many more……

Pan Jingyuan suddenly picked up his mobile phone and carefully read the questions raised by Qiao Yu again, and suddenly felt a little uneasy.

"He may not be free during this period... Huh? What's wrong with you?" Yuan Zhengxin suddenly asked.

Pan Jingyuan answered subconsciously: "I'm suddenly a little unsure. When we derive the globality, we require that each ridge E on the C curve corresponds to a unique representation of the Lie group G. If BunG, that is, the bundle space of G, undergoes any structural changes during the proof, it may indeed cause the isomorphism relationship to fail."

This answer made Yuan Zhengxin stunned. He looked at Pan Jingyuan with a deep gaze and asked, "This should be considered an obvious loophole, right? Didn't you conduct sufficient internal discussion and self-examination before publishing the paper?"

Pan Jingyuan replied: "Yes, but no one seems to have raised this question. After all, we have carried out sufficient local verification work, which has occupied most of our energy. And you also know that Professor Schultz is very satisfied with our conclusion.

Moreover, in an 800-page paper, BunG is a very important part, occupying a large part of each paper. If all the results are verified, it will probably take more than a year to publish. And this can't be considered an obvious loophole, right?"

Yuan Zhengxin nodded. He could certainly understand this situation. It was nothing more than utilitarianism at work.

If the paper is delayed for more than a year, it will definitely not be discussed at next year's World Congress of Mathematicians.

The five systematic papers of more than 800 pages are the most cutting-edge mathematical propositions, and it will take more than a year for the world mathematics community to prove them.

Now it is only one year and four months away from the next year's World Congress of Mathematicians. To be honest, this time is already extremely tight. This made Yuan Zhengxin unable to even say a word of criticism.

Physicists don’t care. As long as they are alive, they can win the Nobel Prize, no matter how old they are. But mathematicians will miss out on the most dazzling top prize once they are over 40.

If the verification requires another year, many people will indeed not be satisfied.

Even if he was younger, he would probably make the same decision. This cannot be blamed on anyone, especially Pan Jingyuan, who is not even the leader of the team.

So Yuan Zhengxin did not comment, but smiled and said: "Haha, then you can tell the team about Qiao Yu's idea and start self-checking. If you can find the problem, you should thank Qiao Yu."

Pan Jingyuan nodded seriously and said, "Well, I will discuss this issue with my tutor later. By the way, what did you say just now?"

Yuan Zhengxin replied, "I mean Qiao Yu has been busy recently. The first phase of the IMO training will begin tomorrow. He has to complete the training at Yanbei University in the next nine days according to the regulations."

Pan Jingyuan was stunned for a long while before he asked doubtfully: "Qiao Yu? He still wants to participate in IMO? Why does he want to participate in IMO? Can he think straight?"

As someone who has participated in IMO and won the championship, Pan Jingyuan is naturally qualified to say this.

To put it bluntly, no matter how difficult the IMO questions are, they still test your ability to apply elementary math knowledge learned in high school. How can I put it? I can only say that the math you learn before college and the math you learn after college are two completely different subjects.

The former's knowledge is all concrete, with only basic concepts and basic formulas.

The latter knowledge begins to become abstract, that is, from this time on, students may come into contact with math problems that do not have any numbers, but only various symbols and letters with references.

The depth and abstractness of knowledge determine qualitative changes in thinking patterns and the nature of disciplines.

To put it bluntly, high school mathematics is at a stage where hard work can make up for one's shortcomings. As long as you are willing to work hard and practice questions every day, even if you don't have talent, you can get a good score based on your intuition from practicing questions. At most, you will have some trouble with the final advanced questions.

But even at this stage, mathematics alone can screen out many people who are not suitable for advanced research.

It is even more different when you are in college. Just doing exercises is no longer enough to learn the subject. It is even so exaggerated that you may not understand the examples in the textbook even if the teacher explains them again and again. The reason is that it is so abstract.

Mathematics does not explore phenomena that are visible in reality; it can play freely within the scope allowed by the theoretical framework.

High dimensions are hard to imagine in the physical world, but they are ubiquitous and even indispensable in the mathematical world. Just like in N-dimensional Euclidean space, mathematicians can discuss spaces of any dimension and study their geometric properties.

It just so happens that the most difficult thing for people to imagine is something they have never seen, but there are always people with extraordinary talents and sufficient imagination to do things that are beyond the reach of ordinary people, such as Poincaré's exploration of high-dimensional manifolds, which is still proven almost perfectly.

But why would such a person attend IMO? What's the point of him attending IMO?
Yuan Zhengxin explained: "Well, I think so too. This will indeed cause trouble to many people. Especially when he went to participate in IMO, maybe the article in Ann. Math had been published. This made him even qualified to sit on the judges' seat.

But Qiao Yu said that this was what he promised his alma mater, so he must do it. I think we cannot deny a child's commitment to his alma mater, otherwise how can we discuss the concepts of keeping promises and gratitude with him in the future? "

Pan Jingyuan opened his mouth but said nothing.

This reason is indeed invincible.

From a purely mathematical perspective, there is really no need for Qiao Yu to participate in IMO.

A paper that can be published in Ann. Math is more than enough for him to be the leader of the team to participate in IMO this time.

With so many mathematics professors at Huaqing, they cannot guarantee that their independent research results will be published in mathematics journals of a certain level every year. Not to mention that Qiao Yu's achievement can be said to be a very significant achievement.

But if it’s about giving back to your alma mater…

Yuan Zhengxin added, "Oh, you may not know that Qiao Yu does not attend a key middle school. His alma mater has never produced an IMO champion. No, it has never produced a student who can enter the national training team. So if Qiao Yu can win an award at the IMO this time, it will be a breakthrough for his alma mater."

Pan Jingyuan shook his head and smiled bitterly: "Even if he wants to participate in IMO, he doesn't have to attend the training camp, right? What is he going to train for? Isn't it enough to just give him an exemption from the test?"

"Ah." Yuan Zhengxin sighed and said, "It's not easy to teach a child like him. Of course it's possible, but he has a very erratic personality. If we really give him this kind of privilege, who knows what he will do after he gets used to it? Sixteen years old is the time when a person's worldview is formed, so he must have a sense of rules."

Pan Jingyuan suddenly realized that since yesterday afternoon when he had been discussing with Qiao Yu until now, he had subconsciously regarded Qiao Yu as the same person as him, and did not realize that this little guy was still in the stage of forming his personality.

His high plasticity means that adults will have many concerns when interfering with his thoughts at this time.

The old man was probably afraid that Qiao Yu had no sense of rules, which would lead to him falling harder the higher he climbed.

It's really hard for him to say anything about this, he just feels it's very weird, it's weird just thinking about it.

"That……"

"Then you will have to work hard for another day. Thank you, Xiao Pan. He will go to training tomorrow. He asked to participate on his own initiative. I believe he will take it seriously." The old man said with a smile, with a hint of pleading.

Pan Jingyuan was stunned for a moment, and quickly said, "Mr. Yuan, you are too polite. To be honest, I like Qiao Yu as well."

Yes, who doesn’t like a child with high intelligence?

……

Yanbei International Center for Mathematical Research.

Qiao Yu still maintained his state, serious and selfless.

What is the peak showdown?
Of course, you have to give 100% of your effort to defeat your opponent.

Mountain climbing is a long process. Those who claim that they can reach the top of Mount Tai in an hour would be lucky enough to be able to see the gate of the scenic area.

Qiao Yu did not have this illusion, but he took every step very firmly.

So he was very serious, more serious than any other time he had dealt with a difficult problem.

The geometric Langlands conjecture is a very complex proposition. Just like Schultz's theory of quasi-complete space, it has the characteristic of complex theoretical framework, which makes it difficult to understand the paper, so he also raised many questions.

This is when his mathematical intuition is often more useful.

Many of the questions he raised were incisive and really based on mathematical intuition. For example, the question I just sent to Professor Pan: There are many technical obstacles when dealing with homology theory and spectral sequences related to the geometric Langlands conjecture.

This makes the model selection and construction process very complicated, and it is difficult for BunG to remain unaffected in this process.

Any small technical mistake will lead to imprecision in the paper and failure of the proof.

This is very similar to a spacecraft docking with a space station in space.

Most people think that the space station is always suspended in space, and the spacecraft just needs to slow down slowly, aim at the interface, touch and lock it. But the actual situation is that the space station and the spacecraft are actually moving at high speed during the docking process.

The docking work must be completed at high speed. Any small mistake will lead to docking failure or even collision.

The process of asking Professor Pan questions is the process of concretizing these possible problems.

Qiao Yu has already saved these into a directory in his mind. The next main task is to deduce and verify the possible situations in the directory, and then find loopholes in the proof.

This is a very large project. Even the fourth and fifth papers combined have more than 300 pages.

But if he succeeds, it will be a much bigger project for the team studying this topic.

Again, mathematical proofs require 100% correctness. If there is any logical inconsistency, we need to find a way to make up for it.

Anyone who has written a mathematical paper knows how difficult it is to revise an 800-page paper on a complex problem if someone finds a logical loophole that runs through the entire paper.

At the very least, there is no hope of being invited to give a talk at the next year's Mathematical Congress, and the creators are even less likely to be nominated for any awards for solving this problem. When the paper is revised and submitted again, it will have to go through another round of argumentation.

There is no confirmed completely correct paper. The most we can do is to thank the team for their efforts and exploration on this issue, but it is impossible to grant any honors.

For Qiao Yu, this is a game, a peak showdown with the Langlands Program as the battlefield.

He seems obsessed, simply because he is serious.

But Xue Song didn't think so. When he quietly left Qiao Yu's room and found that the boy seemed to have no feelings, he was still a little scared. He subconsciously called Tian Yanzhen.

After listening to Xue Song's report, Tian Yanzhen was silent for a moment and said, "Let him be. No matter what he is interested in, as long as he is serious about it, it's a good thing. Tomorrow is the day of the IMO training camp. If he forgets to report, there is no need to remind him."

Adults feel the same way. It is ridiculous that a guy who is qualified to submit papers to Ann.Math, whose papers are likely to be accepted, and who has begun to challenge the geometric Langlands program, is participating in IMO.

At least never in the history of mathematics.

……

Unfortunately, Qiao Yu did not forget.

Thanks to Brother Chen who installed the printer, he printed out the entire thesis the night before, put aside the parts he had read, and then estimated that it would take nine days to sort out the content he needed to read in addition to the exams.

Although Qiao Yu now sees the great possibilities that mathematics can bring him in the future, he still has to make the money that is within his reach. On the one hand, improving life starts with doing every little thing around you, and on the other hand, Qiao Yu really values ​​promises.

Lao Zhang and Lan Jie were both honest people, so they could understand that Qiao Yu no longer needed to prove himself at the IMO, and they wouldn't say anything even if Qiao Yu didn't participate. But because of this, Qiao Yu felt that he couldn't let honest people down.

When you feel that somewhere in the world is bad, it is not a reason to be bad, but to try to make some small changes.

For example, everyone thinks that good people in this world don’t get rewarded, so Qiao Yu decided to use practical actions to let everyone know that, in fact, people like good people can also be rewarded.

Qiao Yu felt that only when there were more people like him, many things in consciousness would change subtly. In this way, when everyone decided to be a good person, people like him who were not pure good would be able to live more comfortably.

In a group of evil people, you have to roll up your sleeves. Only by being more evil than others can you stand out; but in a group of good people, as long as you are shameless enough, you can take advantage of them. Qiao Yu can even write a paper on this topic.

Yes, now Qiao Yu’s mind is full of mathematics, and he is scary serious about it.

So the next day, when the friends in the group met Qiao Yu again, they encountered such a scary guy.

……

After washing up early in the morning, Qiao Yu went to the cafeteria to have breakfast. Then he took the prepared paper, completed the registration, and went through the check-in procedures.

He has been keeping the habit of sleeping only five hours a day for the past two days, but it has not affected his efficiency. On the contrary, he is very energetic and full of vigor.

It's like this every time. Once Qiao Yu has a clear goal, his concentration and energy will be more vigorous.

This is probably what a high-spirited attitude is.

He had originally planned to take a break during the two training sessions in March, but now the situation was different and Qiao Yu no longer had the heart to rest. He had to hurry up and read the paper. The geometric Langlands conjecture was indeed very profound and worth his time.

After all, to find important logical errors in a paper, he must first understand it. Finding errors is a learning process.

Moreover, this task is extremely challenging. It is said that Schultz has read this paper and commented that it is: "The best and most successful result in the past thirty years and the culmination of thirty years of hard work."

Even Alexander Bailey, one of the founders of the geometric Langlands program, said that "this proof is very beautiful and the best of its kind."

For others, the voices of the two bigwigs expressed their affirmation of the paper, but Qiao Yu obviously had a different opinion on this.

He always felt that if they really recognized this conclusion, they could use statements like "unbelievable, they succeeded, and the proof process was impeccable" instead of comparing it with other proofs of the same period. Of course, this may also be the rigor that belongs only to the big guys. They don't want to make their words too final before they are recognized by mathematicians around the world.

But in Qiao Yu's opinion, the lack of confidence in making such a statement itself means that there is a high possibility that there are problems with the paper, it just depends on whether anyone can discover it.

If he doesn't hurry up, what if all mathematicians agree with this conclusion, and the award committee at the World Congress of Mathematicians next year really goes crazy and gives the award to someone? After all, there is no precedent in history of awarding and then withdrawing the award.

Qiao Yu felt that he had to hurry up, not to mention that the geometric Langlands conjecture was indeed quite interesting.

So after arriving at the assigned room, Qiao Yu sat down at his seat, opened the paper and started reading.

At around nine o'clock in the morning, Yu Wei pushed open the door and was stunned to see Qiao Yu sitting in the room. Just at this moment, Qiao Yu turned his head and glanced at him.

Yu Wei thought that Qiao Yu would mock him as usual, but Qiao Yu didn't say anything at all. He just glanced at him, then turned around and stared at the A4 paper on the table.

Qiao Yu didn't say anything, and Yu Wei was too lazy to greet him, so he pulled his luggage into the room, put it away, then silently took out the prepared exercise book from the box, intending to sit at the table behind Qiao Yu to start doing exercises.

To be honest, he felt a little unhappy about being arranged to share a room with Qiao Yu.

But there was no other way. This training camp was semi-closed, and all the players participating in the training camp were all in a room of four. In comparison, being arranged in the same room with acquaintances seemed pretty good.

Even though he was unhappy, when he passed by Qiao Yu's position, he couldn't help but take a look at what Qiao Yu was reading.

"Fuck!" Yu Wei cursed in his heart. It was another paper that he couldn't understand. This guy was getting more and more pretentious!
So he deliberately made some noise when dragging the bench, but unfortunately the guy behind him still ignored him.

Yu Wei sat down, still a little angry, so he put the exercise book in his hand down heavily. There was still no movement afterwards, except for the "swish" sound when the pen tip touched the paper.

Yu Wei curled his lips. Well, he admitted that Qiao Yu had indeed acted well this time. He had never thought that this guy would make him feel even more uncomfortable when he stopped being foul-mouthed...

I opened the exercise book and wanted to start doing exercises to put that damn guy out of my mind.

But he couldn't concentrate at all - the damn guy behind him didn't even bother to say hello to him...

The more he thought about it, the more annoyed he became. Just as Yu Wei was about to get up and go out for a walk, the dormitory door was pushed open again.

"Fuck, it's really you two, Brother Qiao Yu, I missed you so much!"

Really, if it were in the past, Yu Wei would feel annoyed when hearing this voice, but today he suddenly felt that the fat man's voice was somewhat pleasant.

There was no way. Although he had always liked quietness, Yu Wei felt that he would go crazy if he had to stay in the same room with Qiao Yu so quietly.

So he stood up and watched how Qiao Yu would deal with that sticky guy. Unexpectedly, Qiao Yu just turned his head to glance at Yu Yongjun, and the fat man stopped rushing towards him.

"Well, I arranged your accommodation. I don't like staying in a room with people I don't know, so I just said hello to Professor Zhou. I don't have time to mess with you, so don't waste your time. Hurry up and do your homework."

Then Qiao Yu threw this sentence at Yu Yongjun, then turned around again and focused his attention on the paper in front of him.

So Yu Wei saw Yu Yongjun standing there at a loss and looked at him innocently.

Then he actually felt a little happy in his heart, but then he suddenly felt that this idea was shameful, so he took the initiative to say: "He must be crazy."

"Stop it, big brother is testing us, right, big brother?" Yu Yongjun said to Qiao Yu again without giving up.

"Put your things away and hurry up to practice questions. Only fifteen people will be left after this training. Your CMO ranking is the lowest in this dormitory. Are you confident that you can stay? Have you seen the daily schedule? We don't gather until 7 o'clock in the evening. Don't waste the daytime." Qiao Yu answered without even raising his head.

Yu Yongjun glanced at Yu Wei, who shrugged. Yu Yongjun could only sigh, then began to pack his luggage and then sat down at the table under the bed.

Qiao Yu's attitude of not allowing strangers to enter made him not choose to sleep in the same row with Qiao Yu, but instead chose to sleep in the same row with Yu Wei.

"Brother Qiao, what's going on today?"

"He's reading a paper."

"The one with Schultz last time?"

"do not know."

"Eh? Yu Wei, you're not quite right today. Why are you chatting with me so calmly? Are you upset? You answered my question without scolding me?"

Yu Wei rolled his eyes at Yu Yongjun, then finally turned his attention to his exercise book.

It proved that Qiao Yu was not ignoring him alone, which made him feel much better for some reason.

Yu Wei probably hasn't realized that his emotions are beginning to be increasingly affected by Qiao Yu.

I had just solved a problem when the dormitory door was pushed open again.

"Hello, everyone." Yu Wei looked up and saw the guy who tied with Qiao Yu for first place in the last CMO competition. He still remembered that the guy's name was Gong Jiatao, from Huaqing High School. He should have come over from the side.

Yu Wei has an impression of everyone whose performance is better than his, but he just nods at them.

Yu Yongjun beside him had already shouted, "Fuck, you're in the same dormitory with us, too?"

Yu Wei couldn't help but turn his head to look at Qiao Yu behind him, but still didn't look up.

"You're welcome, you're welcome. Qiao Yu is the real amazing one. I've heard of Qiao Yu's name in school." Gong Jiatao said modestly while standing at the door.

"You're welcome, just put your luggage away and start doing your homework. Of course, you can also go out and do some free time if you want." Qiao Yu said.

"No, Qiao Yu, are you so hardworking? Let me see what questions the master is doing?" Obviously Gong Jiatao is also an extroverted guy. After putting away his luggage, he ran directly to Qiao Yu and took a look.

"Well, don't compare yourself with me. The questions I do are different from yours." Qiao Yu raised his head and told Gong Jiatao the truth.

After hearing this, Gong Jiatao looked at the densely written derivation process on the manuscript in front of Qiao Yu, raised his hand and scratched his head, a little confused.

"Qiao Yu, that's enough! Is this interesting?" Yu Wei finally couldn't help it and stood up and said.

Qiao Yu thought about it, then stood up and stretched.

"I'm a little tired, so why don't we play a game to relax our minds. Whoever wins the game will be the dormitory head for the next nine days, and everyone else will have to listen to him. How about it?" Qiao Yu didn't respond to Yu Wei directly, but instead made a suggestion.

"Boss, what game?" Seeing that Qiao Yu was finally not concentrating on reading the paper, Yu Yongjun immediately became alert, turned around and asked loudly.

"You all know how to play Honor of Kings, right?" Qiao Yu asked.

Yu Wei pursed his lips and said, "Electing a dormitory leader by playing games? Childish!"

Qiao Yu smiled gently and said, "It's not just about playing games. While playing King of Glory 1V1 SOLO, we can also solve problems. The questions are exchanged between the two sides. There is no limit to the question type. The other two people are responsible for reading the questions and writing.

You must win the game and answer the questions correctly to be the winner. The loser will be eliminated, and the winner will continue to accept challenges. Until the winner beats the other three people, he will become the dormitory leader. How do you do it? "

Before Yu Wei could interrupt, Gong Jiatao next to him couldn't hold back any longer: "No way? You have to win the game, and answer the questions correctly to win? What if we can't decide the winner after playing for an entire afternoon?"

Qiao Yu shook his head and said, "It's okay. I'll be the first to join, so the situation you described won't happen. Let's put it this way. I'll join first. As long as I lose a round, I'll do whatever you three tell me to do in the next nine days. Of course, I can't cheat. If the problem I choose has no solution, I'll still win if I figure it out."

The three people looked at each other.

Yu Yongjun said hesitantly, "Well, big brother, although you are indeed the big brother and I know you are strong, but you said that you win the game only if you answer the questions correctly. In other words, I can play the game without answering the questions, and if I win you, you still lose?"

Qiao Yu answered simply, "Yes, you don't have to solve the problem, just play the game with your heart, and if you win the game, it counts as your win."

"Hehe, brother, you can look down on my ability to solve problems, but you can't look down on my ability to play Arthur! I'm very good at playing Arthur one-on-one." Yu Yongjun said immediately.

"Oh, let's start. If you don't answer the question, I won't choose it. Hurry up and choose a question. Yu Wei, please read the question for me." After saying that, Qiao Yu took out his mobile phone and opened King of Glory.

"Fuck, I can't stand it anymore. I've got my questions ready." Yu Yongjun quickly took out a printed question from his desk, gave it to Yu Wei, and said, "Yu Wei, I'll choose question 5."

After saying that, he also took out his cell phone.

Yu Wei glanced at Yu Yongjun, then at Gong Jiatao who had not yet come to his senses, then silently took the paper and looked at the title. He finally realized how shameless this fat man was.

He actually picked a geometry proof problem...

But to be honest, Yu Wei liked Yu Yongjun's shamelessness. But just as he read out the first word of the question, Qiao Yu said, "Wait, read it after entering the game. If you know the question in advance, there will be no suspense."

Yu Wei said nothing and fell silent immediately.

But the little fat boy next to him couldn't stand it anymore and shouted, "Ahhh, I can't stand it anymore, come on, come on!"

As he spoke, Yu Yongjun quickly built the room.

After Qiao Yu entered the game and the countdown ended, Yu Wei began to read the questions: "Let D be an interior point of acute triangle ABC, and satisfy AB>AC, and ∠DAB=∠CAD. Point E on line segment AC satisfies ∠ADE=∠BCD, and point F on line segment AB satisfies ∠FDA=∠DBC.

And point X on line AC satisfies CX=BX. Let O1 and O2 be the circumcenters of triangles ADC and EXD respectively. Proof: Lines BC, EF and O1O2 have a common point.

After reading the questions, Yu Wei couldn't help but lean over to take a look at the game interface of the two people. Qiao Yu seemed to be concentrating on operating the character in the game to deal with the fat man Arthur on the opposite side under their own turret. Qiao Yu chose Old Master Q.

To be honest, Yu Wei thinks this hero is a bit tricky in single combat, after all, the ultimate can control. But then again, because the ultimate is not a locked skill, it needs to be predicted when it is released.

Thinking about this kind of geometry proof while playing the game without making mistakes, at least Yu Wei felt that he couldn't do it.

While Yu Wei was still thinking about how Qiao Yu would handle this situation, Qiao Yu suddenly spoke up: "Help me draw the diagram according to the question first, then draw an extension line along EF, and set the intersection point with the extension line of BC as J."

Yu Wei couldn't watch the excitement in the game anymore. He sat down at the table obediently and started drawing pictures according to Qiao Yu's requirements, and wrote down what he said.

Gong Jiatao stood next to Yu Yongjun's seat, silently looking at the game interface of the two.

"The first step is to prove Lemma 1: Points B, F, E, and C are concentric. First, draw the circumcircle of triangle ABC, and extend the circumcircle of AD to point M; then draw the circumcircle of triangle BDF... Finally, we can get ∠DBM=∠DBC+∠CBM..."

"Wait a minute...speak slower!" Yu Wei suddenly said.

Gong Jiatao looked up in surprise...

"Okay, let me know when you're done."

"All right……"

"…so MB is tangent to circle BDF. Similarly, MC is tangent to circle EDC…According to the circle power theorem, points B, F, E, and C are concentric. The second step is to prove that circle BDC is circumscribed to circle EDF, and JD is the root axis of the two circles…"

"Fuck, Fatty, give me some strength, this can be hooked by the ultimate move?"

"Can you blame me for this? I thought that skill could get him first blood, but who knew he didn't die?!"

"You two stop arguing..." Yu Wei couldn't help but shout.

Qiao Yu was already speaking a little fast, and he needed to concentrate to record the events without making any mistakes. These two guys were making noise beside him, which was really annoying.

Wait, it was the fat guy who died first?
As soon as this thought flashed through his mind, Qiao Yu spoke again: "Let H be the point where EF and AD intersect. From the Lemma 1 just proved, we know that H, E, C, and M are concentric circles, so ∠FED+∠DCB=..."

Yu Wei no longer cared about the game situation and started writing furiously...

Seven minutes later: "From Lemma 5, JK=JD, we know that J is on the perpendicular bisector of line segment DK. From Lemma 4, we know that D and K are two intersection points of circle O1 and circle O2, so line segment DK is the common chord of the two circles, O1O2 is the perpendicular bisector of line segment DK, so J is on O1O2. The proof is complete."

As Qiao Yu finished speaking, two voices came from the other side: "Fuck!"

game over……

Yu Wei did not write down the last sentence. There was no need to do so. The previous proof process was already perfect.

And he didn't need to remember it, because the paper he had recorded it on had been taken by Gong Jiatao, who had finished watching the game and was walking over and was looking at it.

Of course, he knew the difficulty of this question, which involved circular powers and root axes, Monge's theorem, the interest of Mix points, inversion transformation, etc. He had also encountered the same type of questions before, and they had appeared in the IMO competition.

This made him completely unable to understand how Qiao Yu could solve the problem while playing games.

During the whole process, Qiao Yu didn't even ask to take a look at the picture he drew.

How can he chase after this?!
Looking at Qiao Yu who was sitting there quietly, operating his phone to exit the game, it is no exaggeration to say that Yu Wei felt a sense of despair at this moment. At this moment, Qiao Yu's voice came into his ears: "You are too slow to remember, aren't you? The game should have ended at least two minutes earlier."

Yu Wei suddenly wanted to curse, and at that moment, Yu Yongjun's voice came into his ears: "Fuck, I lost. I didn't seem to say that I couldn't surrender! If I surrendered early and the problem was not solved yet, wouldn't it be considered that I won?"

After hearing this, Yu Wei felt inexplicably relieved.

I have to say, this seems to be a good solution. At least Qiao Yu is not strong enough to break the rules.

Yu Yongjun's words indeed shocked Qiao Yu.

Qiao Yu, who had just won a game, said seriously, "I really underestimated how shameless you are. This rule must be added. Surrender is not allowed in the game. Who's next?"

"Let me try." Gong Jiatao spoke without waiting for Yu Wei to speak.

He was itching to try it out, and he had to admit that this was indeed a very interesting game, and he had never tried it before. He also suspected that the three people were playing a trick on him and messing with his mentality.

After all, when he was the CMO, he saw that the three of them had a good relationship.

"Why don't you check whether you have solved the problem correctly first?" Qiao Yu asked.

"I just checked it, there's no problem, but you have to give me a question this time." Gong Jiatao said.

"it is good!"

"Boss, I'll help you take notes this time. I write really fast."

"Let's go with Yu Wei. Your threshold is too low. I don't trust you to record it."

"Ah, no way? Boss." Yu Yongjun looked very hurt, but unfortunately he was ignored by Qiao Yu.

"Turn on the recording on my phone." Yu Wei suddenly said.

"Hmm?" Qiao Yu looked at Yu Wei, and his gaze made Yu Wei a little flustered. He explained, "I want to watch the game."

Qiao Yu thought about it and said, "Okay, but you must start recording."

Yu Wei walked silently to Gong Jiatao's side, and then found that this guy had a dark face...

Of course Yu Wei knew that this was because he had been too pessimistic when he said “I want to watch the game”, but it didn’t matter.

He was only slightly convinced by Qiao Yu now.

Who is this guy from Beijing? He is just a CMO who is lucky.

　The 31st day of the -word update check-in is completed!
　　
　
(End of this chapter)