Chapter 246

Facing the clamor of Lin Yue Jing, Li Zheng just smiles.

Can such children understand their present state of mind?

Her thinking is still limited to short cuts and minimalist solutions.

Although gifted, this is still the first level of application of formulas.

The second level is to forget the formula.

Let the thinking through, between the image and equation, elegant solution.

Perhaps, Lin Yujing has reached this level through the practice of seclusion.

But it doesn't matter.

Because Li Zheng is already on the third floor.

After nearly a thousand hours of hard work, he has woven mathematics and physics into a big net.

In this mathematical network, he can shuttle to any point like an electric current.

Epee has no edge, no sword, no move.

This is the mathematical world in which no move wins the trick -

no formula wins formula.

This realm is lonely.

Because it can't be described, it can't be understood by others.

Li Zheng looks at Lin Yue Jing, who is proud to move forward. He also feels a kind of loneliness.

After this loneliness, there was a burst of envy.

The students are spirited and the girls are frivolous.

So naive, so ignorant of heaven and earth.

How wonderful, how happy.

Looking at Li Zheng's father's smile, Lin Yujing is disgusted.

"It's stupid to train and train..." Lin yuejing shook his head and went straight to his seat. He photographed the traditional space pencil bag and water bottle. He said, "now, I can understand GUI Jianfeng's words."

Li Zheng eyebrow color a tight: "what did he say?"

"It's OK." Lin Chaojing squinted at Li Zheng and waved his hand at will. "You don't understand that, slag."

"Ha ha." Li Zheng is also not angry, also randomly waved his hand, "children just rap."

Both of them turned their heads and entered the state of ignoring each other.

This state, continued until the third biology class.

According to the agreement with Zhu Hongbo, this is the time to go to the mathematics teaching and research group for mathematics class.

Two people all the way speechless, until into the office, still no one pays attention to who.

Zhu Hongbo is resourceful and knows Xiaoliang well Outsiders should not interfere in the affairs of the two students.

He did not say much, but directly asked about their progress in the past week.

Li Zheng replied steadily, "mathematics has improved a little."

"I can't see the ceiling," Lin replied more steadily

Li Zheng laughed: "I have never seen such a brazen person."

Lin Qijing with a knife in his eyes: "the defeated general dare to bark in the math office!"

Li Zheng eyes a Ning: "find out who is the defeated general."

Lin Yue Jing ten fingers a break: "who lost more, who is."

"All right, all right." Zhu Hongbo had already laughed and couldn't close his mouth. "Can we quarrel about this big fart?"

"Miss Zhu, it's not a fight." Li Zheng turned his head and said, "just now, in mathematics, I'm afraid it's difficult for me to have a common language with Lin Qijing."

“NotNow。” Lin Qijing chuckled and waved, "never."

"Good." Li Zheng's face was awe inspiring. "I didn't want to argue with you. This is bullying. Now, you've succeeded in angering me. "

Then he turned to Zhu Hongbo: "let's have a real math problem, Mr. Zhu."

"Ah..." Zhu Hongbo hesitated, "it's not necessary. Forget it With all due respect, Li Zheng, you certainly have great potential, but you still have a long way to go to really surpass Lin Yujing, especially in the field of top problems. "

Lin Qijing did not nod, very convinced.

"Don't talk about it any more. Come up with a question." Li Zheng's big arm waved, took out the pencil bag and the draft paper, "just in time, also let you reassess my mathematical strength."

“……” Zhu Hongbo glanced at Lin Chaojing. After the latter blinked a bad eye, he said helplessly, "since you are so resolute, I'll make a question. However, there is a saying that I can't stand it when you make such a fuss for three days and two days. This time, the one who scores higher is the one who gets higher. In the future, we should not engage in such competition again. "

"It's just what I want."

"Oh

Looking at their virtues, Zhu Hongbo also raised his mouth.

The students are spirited and the girls are frivolous.

So naive, so ignorant of heaven and earth.

I envy you.

But.

Don't think that you can easily deal with the mathematical problems of physical competition, just like how strong mathematics is.

That's not even the beginning.

"Real mathematics" is coming.

These people have no fear of mathematics.

It's time to teach a good lesson.

Zhu Hongbo did not turn to the question bank at all, but directly raised his hand: "just one question, the problem surface is very simple, I said directly, you write it down."Li Zheng raised his pen in an instant.

Lin Qijing also anxiously pulls the chair, pats the book on the table to prepare the record.

"I'll say it once. Please listen to the question." Zhu Hongbo langran said --

[please confirm whether there is a positive integer n that satisfies the following conditions:]

[n can be exactly divided by 2000 different prime numbers. 】

[and the nth power of 2, plus one, can be divisible by n. 】

after a pause for a moment, Zhu Hongbo saw that they were staring at the title they had just written, and then they laughed.

"That's it. You don't have to force yourself to do it." Zhu Hongbo looked at the clock and said, "it's five minutes to 10 o'clock. I'll give you two hours to make it 12 o'clock. You can give up halfway. I'll tell you how to analyze the train of thought."

After that, he pulled in two large piles of papers and approved the homework.

On the other side, Lin yuejing and Li Zheng peek at each other almost at the same time.

After finding the other party's peek, he looked down at his face in panic.

And she calmed down a little bit --

[fortunately, she (he) is also ignorant. 】

since the other party is also very confused, he is not so flustered.

Li Zheng reviewed the question again.

Very good, this kind of question does not depend on the formula theorem, is not exactly own superiority?

Network of mathematics and physics, open up!

Math brain, go!

No move is better than no move!

Five minutes later.

Li Zheng's cigarette went up on top of his head and went down.

Go to your mother's math brain.

Go to your mother's network of mathematics.

This is something.

What's the problem

Prove your brother-in-law.

It's not just that there's no idea at all.

I don't even have a way of thinking.

All the questions he had done and all the problems he had encountered had nothing to do with it.

This kind of inexplicable thing should be called "XXX conjecture"?

Is it impossible to see the wind coming?

There may be a chance to solve the dispute.

Li Zheng can't help but glance at Lin Yue Jing again.

Sleeping trough!

She's writing like crazy!

At this moment, Li Zheng was flustered.

Is She's not on the first floor?

It's on the fourth floor, the fifth floor?

It's impossible. It took thousands of hours to reach the third level.

Even genius has a limit.

No matter how sophisticated Zhu Hongbo is, he will not be shameless enough to embarrass people with a question that senior high school students can't think of at all.

There must have been some simple and crude standard solution forgotten by myself

Because we have been doing the connection between physics and mathematics, we have neglected the basic mathematical methods.

Li Zheng held his breath, only three seconds, a clear routine jumped out --

mathematical induction!

Look at my memory. I haven't used it for a long time. I forget it.

But this problem is not a simple induction, but also the use of divisional knowledge, and perhaps algebraic deformation.

The only thing that can be determined is that the requirements for ideas are far greater than the calculations.

Because you can't calculate the division of 2000 prime numbers, let alone count, it's impossible to write 2000 prime numbers.

Logic is the most important thing. Only when the logic is completely smooth can we solve the problem. In the middle, we need to use a lot of logic words to connect, and maybe we need to use contradiction and absurdity.

First of all, forget the number 2000.

Obviously, this is just a number made by the author, which is meaningless in itself.

23333 is OK, 666 is OK, what happy write what.

It's exactly divisible by 2000 distinct prime numbers, just smoke bombs.

In fact, what we want to prove is that it can be exactly divisible by any prime number which is different from each other.

Well, that's all.

So, let's go.

……

An hour later.

Zhu Hongbo finished criticizing the papers of three classes.

Look at the left.

Li Zheng stopped writing and writing. Obviously, his brain was still in a mess.

And look at the right.

Lin qiojing just looked at the question in a daze.

After she wrote a few lines in her book, there was nothing more.

Zhu Hongbo laughed.

Happy?

Real math?

Are you happy?

Zhu Hongbo got up with a smile, picked up the thermos cup and said, "it's time to go to the bathroom. It's time to drink water."

No one paid attention to him.

He didn't say anything more, so he went out to fetch water, and wandered around for a long time. He went to chat with Tang Zhifei and Tao Feifei.

When chatting on both sides, what they said was not too bad."Don't you know what? It's already subdued them."

"Don't panic, Mr. Tao. They are only high school students in mathematics. I'll give up any question."

"Don't worry. I'm stable here."

"Let them know that they should be in awe of their subjects and teachers."

"Oh, I'm flattered. It's just the natural depth of math problems."

After a circle of pressure, Zhu Hongbo returned to the front of the teaching and research group.

I wanted to go straight in.

But when you think about it, it's very rare for these two people to have such a hard time.

He secretly opened a crack in the door and peeped into it.

This peep is a stare.

How unreasonable!

The two men were not at all in trouble.

It's whispering!

In fact, as soon as Zhu Hongbo left, the conversation began.

First, Li Zheng, pretending to be talking to himself.

"Lao Zhu asked this question It's intentional... "

"Well..." Lin qiojing sent a response that was not a response.

After struggling for a moment, Li Zheng pulled a chair and said, "do you want to join us?"

“……” Lin Qijing also tangled for a moment, then nodded.

After that, they drew closer and closer until they got together.

It's endless.

"Yes, first prove lemma, then prove more general propositions."

"Well I've been thinking about the big idea as soon as I come up, but I can't find an appropriate algebraic variant. "

"I have this. Look at this identity..."

“！！！ As expected, it's a slag suitable for mechanical calculation of stupid people

"Mao, I thought of this as soon as I came up. It's the intuition of the mathematical brain."

"Scum! It's all out. It's super easy to prove later

"Yes oh now I see! She is a lazy woman who is opportunistic. "

"Scum! Pinch you

"Am I wrong? Are you not opportunistic? "

“……”

"Are you lazy?"

“……”

"Aren't you a woman?"

“…… Scum! I have proved that you can tell lies. "

"Depend on Wait for me We hand them in together, and we put them in advance, and we are consistent with the outside world. "

"Well, Zhu Zhu was scared to death."

After they decided on the strategy, they pulled their chairs back to their original positions before Zhu Hongbo came back.

Of course, Zhu Hongbo witnessed the second half of the process.

Now the eyes were bloodshot.

What the hell are you fighting for?

Why is it consistent with the outside world?

At this moment, Zhu Hongbo realized.

Xiao Liang It's the best way to persuade two students to fight.

To be their common enemy.

Zhu Hongbo was supposed to push the door directly in.

But looking at their virtues, they just sighed, and then slipped back to the corridor with the thermos cup on their back and walked all the way to the window.

Can use the mathematical way, the same hatred of the enemy, shoulder to shoulder

This is not a great happiness.

At the same time, Zhu Hongbo felt some inexplicable sadness.

After all, except when my wife takes her salary I don't want to talk about math at all

It is hard to imagine that a 40 year old man will be sour.

Zhu Hongbo raised his arm and looked at his watch, trying to swallow the sour taste.

The beauty of success is limited. Give them another five minutes.

After all, even 50 minutes, 500 minutes, the result is still the same.

It's impossible. They can't work out this problem.

Five minutes later, Zhu Hongbo opened the door of the office.

Li Zheng and Lin Yue Jing made a small look and got up at the same time.

"It's done."

"Well."

"Hum." Zhu Hongbo only gave a sneer and didn't care about the cat between them.

He took their answers and went to the table, side by side.

Look at the left and right pieces of paper line by line.

It's almost the same.

Well

First prove a lemma, this step is right, but it is estimated that this step is right.

Then there is the assumption that The hypothesis is right.

And then

Wait

They can work out this identity??

Then there is the turning point, the variation, the contradiction and the contradiction

Then, the lemma is extended to prove the general proposition with universality.Finally, the existence of n is proved.

In just one minute, Zhu Hongbo finished marking the paper.

Don't look at the second time, the train of thought is very clear.

Then, the big beads of sweat came down.

His face began to tremble.

This TMD

It doesn't make sense

Behind Zhu Hongbo's tremor, Li Zheng and Lin yuejing have the same look in their eyes.

It's comfortable.

There is no awe.

After a long period of self doubt, Zhu Hongbo stared at his two faces and said in a trembling voice, "you You two Tell me the truth Have you found the answer? "

The two were stunned. Naturally, they felt guilty in the face of this.

Li Zheng lowered his head and said, "to be honest, Mr. Zhu I read Lin's thoughts. "

"I used Li Zheng's identity..."

"Except this one?" Zhu Hongbo glared at his eyes and asked, "have you searched the Internet for this problem? Have you seen it before? Did you get ideas from outside of you? "

They both shook their heads at the same time.

"Shit." Zhu Hongbo burst out a rude remark and sat down on the chair, "you two Too much... "

"It's not that hard." Li Zheng scratched his head.

"It's just an identity." Lin yuejing also felt that Zhu Hongbo had overreacted.

"Shit." Zhu Hongbo scolded again, then picked up two pieces of answers and said angrily, "do you know what the problem is? IMO real title! Only 35% of IMO players have finished this question! "

They opened their mouths wide at the same time.

IMO, International Mathematical Olympiad.

This is undoubtedly the biggest and top mathematics competition.

Good, you Zhu Hongbo!

Bully people with such things!

There is no doubt that several contests are going to be conducted, but they are still in the very basic preparation stage. Now, the real topic of IMO will be discussed. Lao Zhu, you are really ruthless!

However, this hate is a passing.

At this time, they understood that Zhu Hongbo's shaking was not because of anger, but because of excitement.

However, Li Zheng and Lin yuejing are far less excited than Zhu Hongbo.

"There's nothing to be happy about. I'm still far from it..." Li Zheng clenched his fist and said, "I can't do it on my own. For more than an hour, even the big idea is a mess."

Lin Yue Jing also bowed his head: "I can't find that identity, time is not enough, I can't do this problem."

"It's just gone from place to place." Zhu Hongbo got up excitedly, grabbed their shoulders and said, "I've just reflected that you two have complementary advantages. One is a strategist and the other is a practitioner. One is stronger than the unconventional method, and the other is stronger than the unconventional calculation. If possible It is possible that You two must not separate in the future! We must work together

Zhu Hongbo was so violent that they both shrank.

After Zhu Hongbo was excited, he also realized that he had made a mistake: "I I'm talking about projects working together, not that kind of being together. Of course, it's OK for you to be together Ha ha Ha ha... "

"Dong Dong Dong".

There was a knock on the door.

Tang Zhifei and Tao Feifei suddenly appeared at the door.

"Miss Zhu, please come out and talk about it." Tang Zhifei was hooked.

Tao Feifei covered his face and snickered: "well It's steady enough Mathematics has a natural depth. "

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