Tech Hammer

"What about Ning Weren?"

"I just went out, I should be back soon!"

"Then let's wait here!"

"By the way, Lao Lu, what's going on with my junior brother these past two days?"

"Professor Lu, can you control Guan Ning? When he is like this, I am really autistic!"

"Haha... I'm so crazy about that kid. Don't stop me today. Let's let him solve two problems. If he can solve them for me in person today, I will accept those words he scolded me for." ! If you haven’t untied it, you must give me a good explanation today.”

"Yes, Senior Brother Lu, I happened to have prepared two questions and asked him to do them together today. After we finish them, we will go around when we meet Junior Brother. Otherwise, Senior Brother Lu, don't say that we don't give Director Tian face and bully him. Students!”

…

Lu Dongyi looked speechlessly at the group of doctors who stayed in the hospital during the summer vacation to catch up on their thesis. Of course, not all of them were students of Director Tian, ​​but also students of other professors in the college, but Ning Wei probably treated them equally and provoked each other without distinction.

Lu Dongyi actually admired Ning Wei for being able to bring this group of doctoral students into a state of rage. But he didn't know what to say to these people.

It's always hard to tell the truth.

Tell them directly that the junior brother is in a bad mood because a girl whom no one in the courtyard knows yet has not gone to a certain classroom to play piano for several nights in a row, and is looking for faults with the senior brothers everywhere?

He was afraid that if he told the truth, these doctors would be really depressed.

So after holding it in for a long time, Lu Dongyi just said: "What questions have you prepared? Why don't you show it to me first?"

It would be too embarrassing not to use this excuse to waste time.

"I can show it to you, but don't remind that kid later."

"You are all here to guard, how can I remind you?"

"Okay, let's see if we can stump that kid first!"

Several pieces of manuscript paper were delivered to Lu Dongyi. Lu Dongyi glanced at it and said with a wry smile: "Where did you get the questions from?"

"These are the advanced versions of two of Putnam's latest competition questions this year."

"Hey, I'll also pick a question from Putnam, and another question that I got in the Alibaba Mathematics Competition."

Lu Dongyi was speechless.

The Putnam Mathematics Competition is a college mathematics competition in the United States, mainly participated by college students in the United States and Canada. Some people directly translate it as Putian Difficult, because the question of this competition is indeed difficult.

How difficult is it? Let's put it this way, the competition has 12 questions, each question is worth ten points, the total score is 120 points, and the exam time is 6 hours. According to media reports, more than 3,300 top students from prestigious schools in the United States and Canada who were confident in mathematics signed up for the competition last year, and half of them failed to score more than 3 points.

Yes, it's 3 points, no less than 0.

If you can score 56 points, you will be in the top 100.

But only the top 25 will be rewarded, and the top 5 will be recorded and invited to join the Putnam Math Club. Lists of less than 100 names will be published directly in the Journal of the American Mathematical Society.

Of course, it is not unreasonable for the difficulty of the competition questions to be so high, because this competition is designed to select mathematical talents. It’s also very effective.

Among the Putnam laureates in history, there have been six Fields Medal winners, four Nobel Prize winners in physics, and two Nobel Prize winners in economics.

You know, in the West, being good at math is not a cool thing. For most students, it is the rugby field that attracts the most attention. If it weren't for the love of mathematics, no one would come to torture me!

Now this group of doctoral students directly use these questions to embarrass the younger junior brother...

And he also carefully avoided the field of partial differential equations that Ning Wei is best at. More importantly, these four questions were obviously discussed and four different mathematical directions were chosen, and each question was very classic.

For example, the question asked by Zhou Yanping is to randomly select four points on a sphere, and then consider a tetrahedron with them as vertices. What is the probability that the center of the sphere falls inside the tetrahedron?

The fewer words in the question and the fewer conditions given, which means the more difficult the question is!

This question is the absolute finale question in any mathematics competition.

Therefore, Lu Dongyi felt that these senior brothers were really bullying people.

"Ahem..." He was about to say something fair when the office door was pushed open and Ning Wei walked in with a gloomy look.

Seeing so many people gathered in the office, Ning Wei was stunned for a moment, then frowned and said: "No, these senior brothers, you have all finished your doctoral thesis? Why, your instructor didn't push you and you just let yourself go? Why? Why does the teacher always say that so-and-so is the worst student he has ever taught, can't you guys have some idea?"

Hearing this, Lu Dongyi swallowed back the words that came to his lips and watched the confrontation between the two sides silently.

"Listen, Professor Lu, did you hear it? How crazy is Ning Wei now? Come on, Ning Wei, don't say that my senior brother is unreasonable, you can teach us a lesson, show us your skills first Basics of Mathematics. In this way, we have prepared four questions. Each question will be given to you for half an hour according to the standard time. If you can solve all four questions in two hours, you will go sideways in the math department from now on. If you cannot solve it, give it to the seniors. Apologize, and keep a low profile when you meet senior brother in the future!"

Zhou Yanping showed his senior brother's attitude and taught him a lesson.

Ning Wei glanced at Senior Brother Lu, then looked at the four senior brothers who crowded into the room, sneered, and then said: "Solve the problem? Okay, but it's boring to just bet on this. How about we bet bigger?"

"Okay, how much do you want to bet?"

"In this way, if I can't do it, I will only have to stay in this courtyard for one day in the future. I will serve tea and water every day, prepare meals and do hygiene. In short, if you ask for anything, just give me a squeak and I will cover everything. But If I finish it within the stipulated time, let's do the opposite, and you just accept what I say, and you just listen when I tell you to do something, how about that?" Ning Wei said with a sneer.

"Junior brother, let me tell you, the guy who was as arrogant as you last time has already become autistic!"

"That's right, you didn't even read the question, so you are so confident? Ning Wei, you are so crazy!"

Ning Wei sneered: "Are you bothered by me? You are all studying mathematics, not debating? Let's just do it. You just say whether to gamble or not? Professor Lu, you will be a witness. Today, as long as the senior brothers agree, , I can’t convince the senior brothers, so from now on I will write the word “Ning” horizontally.”

"It's a bet, it's a bet, it's a bet! Lao Zhou, Lao Zhang, Lao Luo, we must not be cowardly today, this kid is bluffing!"

"Yes, I bet! I still don't believe it!"

"Okay, I'll bet too. Ning Wei, it's not the senior brothers who are bullying you. Think about it, are the things you said just human words?"

Just when several senior brothers were getting angry, a voice intervened forcefully: "Hey, why is it so lively here today? Why are you all making such a fuss around here?"

Several people turned around and saw that Professor Xiao next to them had been attracted.

"Director Xiao, you came just in time to be a witness for us. Junior Brother Ning Wei has been really arrogant recently. We have prepared four competition questions for him. He wants to make a bet with us, can he finish it within the specified time? To make it, we only need to be in the courtyard for one day and we will listen to him. If we can't do it, he will listen to us." Seeing his mentor, Senior Brother Zhang immediately spoke.

"Oh! Is there such a thing? Ning Wei, are you really taking the initiative to bet with the senior brothers?" Professor Xiao asked slowly.

Ning Wei said confidently: "Yes, Professor Xiao, it's really not me who is nitpicking. Professor Xiao, do the professors in the courtyard have too low requirements for our doctoral students? Anyway, I think these doctoral fellows have Everyone is too idle. They are procrastinating in doing projects and writing papers. They wander around every day and have no energy. It is time to rectify the atmosphere. We must integrate with international standards. This kind of procrastination This is a bad trend! Mathematicians should race against time to do research!"

"I..." Zhou Yanping almost spit out blood.

Damn it, is he wandering around just for fun? Are you thinking about the problem? !

Even Senior Brother Luo, who had the best temper, started to roll his eyes.

"Oh, that's how it is!"

Professor Xiao smiled and nodded: "Come here, show me the competition questions prepared by senior brother. Where are they?"

Lu Dongyi stood up silently, walked to the door, and handed over the questions he had just read.

Professor Xiao glanced at it and smiled: "Interesting, interesting. Our math college has not been so lively for a long time. Do you really want to bet? If you really want to bet, I will see if there are any other professors in the courtyard. Rise up and bear witness to you.”

Ning Wei immediately said: "Gamble! We must gamble! The academic atmosphere of the institute must be rectified!"

"Yes, yes, we also made a bet with Ning Wei, but we agreed first that there will only be two hours at most for the four questions!"

"Two hours? Senior brothers, who do you look down on? Ninety minutes, if I can't finish it, I lose." Ning Wei glanced at Zhou Yanping and said.

"Ha...Professor Xiao, Professor Lu, you heard it, this is not what we said, it was Ning who said it for himself!" Senior Brother Zhang said with a sneer.

"Okay, okay, but I'd rather you don't overdo it. These questions are still very difficult, so it should take two hours." Professor Xiao smiled and said.

"No, just ninety minutes, lest these seniors lose in the end and say that they are bullied by their juniors."

"Uh... Hahaha, okay, just go to the classroom next to you. Wait a minute, I'll call someone."

…

Ten minutes later, six professors, including Tian Yanzhen, who happened to be at the institute, were called by Professor Xiao to the classroom next to Lu Dongyi's office.

As Professor Xiao said, there hasn't been such a lively gambling game in the institute for a long time. It's good to watch the children bet and have fun together.

So when everyone was almost there, Ning Wei took the questions and immersed himself in doing the questions in the classroom. Several PhD brothers were in the classroom to monitor the exam, and the professors were chatting outside the classroom.

"Xiao Lu, what's going on with Ning Wei recently? Why did he start trouble with a few senior brothers when he had nothing to do?"

"Yes, these are just a few hot-tempered guys who just happened to go out to communicate. Otherwise, those few and Ning Wei as a catalyst would not be able to tear down our yard? Right, Director Tian."

"Let's just demolish it. After demolishing it, we are building a bigger one! But Lu Dongyi, I'm also curious. Xiaoning, this kid, has never felt so irritable before. Why did he make those senior brothers so angry?" Tian Yanzhen also asked curiously.

Lu Dongyi smiled. He couldn't tell those doctoral students directly, but he had nothing to say to the professors who had been his mentors. He replied: "When it comes to this matter, I probably have to blame it... …”

So, without any concealment, he recounted the events of the past few days in full.

"This is probably the situation. Yesterday, my junior brother seemed quite calm. Who would have thought that today, he seems to be a different person, going around making trouble."

"Oh! That's right, but think about it, Ning Wei seems to be only 23 years old, right?" Professor Xiao asked with emotion.

"22 years old, and I'll be 23 in three months." Tian Yanzhen answered casually.

"So young! It's better to be young!" Another professor next to him sighed.

"Yeah, so I think if he can win the Fields Medal in four years, he will be the youngest Fields Medal winner in history. But this guy actually dislikes the difficulty of continuing to do NS equations! He needs to change projects! "

Tian Yanzhen shook his head, then looked at Lu Dongyi and asked, "Didn't you go find someone to ask what major the female student majored in?"

Lu Dongyi shook his head and said: "I told my junior brother that if he stops worrying about the postgraduate entrance examination and goes directly to your direct doctoral program, I will go and find out for him."

"Haha, no wonder, why is Ning Wei looking for trouble with other senior brothers? Xiao Lu, he is playing a game with you." Xiao Liang said happily.

Lu Dongyi was stunned, blinked, and asked: "Play a game with me?"

"So, Xiao Lu, it's time for you to think about your life's major events. Otherwise, how can you still have the mentality of a young man? Just say that you asked Ning Wei to take the initiative to find Lao Tian as a doctoral student before you were willing to help him inquire. Isn't that right? Just let him take the initiative to admit that he has a crush on that female student? Young people have to save face when it comes to this kind of thing! I'm embarrassed to admit my thoughts, but I can't get angry, so I might as well just go and torment those senior brothers. You want to pay back If you don't help him inquire, are you afraid that he will cause trouble for your small office every day?" Xiao Liang continued to joke.

Lu Dongyi suddenly said: "Oh, Junior Brother can be shy too! I told you earlier, but some time ago, Junior Brother actually seemed quite normal, and he was more excited than usual when doing projects. I thought..."

"Don't think so, but I'm quite curious. Does that female student play the piano really well?"

"this……"

"Okay, okay, you'd better go find out which female student she is later. If her playing the piano can really help you two find mathematical inspiration, I'll vacate the room next to you later and I'll borrow a piano. Go in as usual, and let her play the piano for you in her spare time from now on. Our institute will give her a subsidy according to the time. This will save your future junior fellow students from restlessness and wait for those arrogant masters to come back. Don’t really treat us like this. The yard will be demolished!"

Tian Yan is really arrogant.

Lu Dongyi thought for a while and said, "Okay! If my junior brother wins, I will make a call. If he loses, he should be able to settle down on his own."