Demon Development System

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Facing the clamoring Lin Yuejing, Li Zheng just smiled.

How can such a child get a sense of his current state?

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

Although the talent is excellent, it is still only the first layer-

Use formulas.

The second level is to forget the formula.

Let the thoughts pass through, and let the rein between the images and the equations solve the problem in an elegant way.

Perhaps Lin Yuejing has reached this level through retreat practice.

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 math and physics into a big net.

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

The Epee has no front, no sword and no moves.

This is the unsuccessful trick in the mathematical world-

No formula is better than a formula.

This state is lonely.

Because it can't be described, others can't understand it.

Li Zheng looked at Lin Yuejing walking proudly, and also felt a kind of loneliness.

After this loneliness, there was a burst of envy.

The students are motivated and the girls are frivolous.

So naive, so ignorant of the heights.

How good and happy.

Looking at the general smile of Li Zheng's father, Lin Yuejing was very sick.

"It's silly to do training..." Lin Yuejing shook his head and walked straight to the seat. He photographed the traditional space pen bag and kettle, and said quickly, "Now, I can understand what Gui Jianfeng said. "

Li Zheng raised his eyebrows tightly: "What did he say?"

"It's okay." Lin Yuejing narrowed his eyes to Li Zheng and waved his hand at random. "You don't understand, scum."

"Hehe." Li Zheng was also angry, and waved his hand at random, "Children rap."

The two shook their heads and entered a state of ignoring anyone.

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 to take a math class.

The two were speechless all the way until they entered the office, and no one ignored them.

Zhu Hongbo is a wise man who knows the youngest two... the outsiders should not intervene in the matter of the two young classmates.

He did not say much, and directly asked the two of them about their progress this week.

Li Zheng replied steadily: "Mathematics has improved slightly."

Lin Yuejing replied more steadily: "I can't see the ceiling anymore."

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

Lin Yujing had a knife in his eyes: "The defeated men, dare to bark in the mathematics office!"

Li Zheng's eyes narrowed: "Find out who is the loser."

Lin Yuejing's fingers broke: "Whoever loses the most, whoever is."

"Okay, okay." Zhu Hongbo already laughed. "It's a big deal with this fart, can we quarrel?"

"Teacher Zhu, it's not a quarrel." Li Zheng turned his head and said, "But now, in mathematics, I'm afraid it's hard to have a common language with Lin Yujing."

"NotNow." Lin Yuejing waved his hand with a smile, "Never."

"Okay." Li Zheng looked awkward. "I didn't want to worry about you. This is bullying. Now, you succeeded in angering me."

After all, he turned to Zhu Hongbo: "Come on a real math problem, Mr. Zhu."

"Ah..." Zhu Hongbo hesitated, "No need, forget it... IMHO, Li Zheng, of course, you have great potential, but to really exceed Lin Yujing, especially in the field of top-level problems, you I am afraid there is still a long way to go."

Lin Yuejing did not nod, very convinced.

"Don't talk about it, come up with a question." Li Zheng waved his arm and pulled out the pencil case and scratch paper. "It just happened, and let you re-evaluate my mathematical strength."

"..." Zhu Hongbo glanced at Lin Yuejing, and after the latter blinked awkwardly, he couldn't help saying, "Since you are so determined, then I will make a question. But there is a saying at the beginning, you three I can’t bear to be so troublesome at both ends of the day. This time, whoever scores high is whoever is high. Don’t do this kind of competition in the future."

"The final word is exactly what I want."

"Well!"

Seeing the virtue of the two, Zhu Hongbo also raised his mouth.

The students are motivated and the girls are frivolous.

So naive, so ignorant of the heights.

Envy.

but.

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

That didn't even count at the beginning.

What "real mathematics" comes out.

Those of you who have no awe for mathematics.

It's time to learn a lesson.

Zhu Hongbo didn't go through the question bank at all, but raised his hand directly: "Just one question, the topic is very simple, I said directly, just write it down."

Li Zheng instantly raised the pen.

Lin Yuejing also hurriedly pulled the chair and snapped the book on the table to record.

"I will say it once, please listen to the question." Zhu Hongbo said aloud--

[Please determine whether there is a positive integer n that meets the following conditions:]

[N happens to be divisible by 2000 different prime numbers. 】

[And 2 to the nth power, plus one, can be divided by n. 】

Zhu Hongbo paused for a moment, and when he saw the two stared at the question he had just written in a daze, he laughed.

"That's it, you don't have to force yourself to do it." Zhu Hongbo glanced at the wall clock and said, "It's five minutes and ten o'clock now. I'll give you two hours. Do it at 12 o'clock. I can give up halfway. I will give you an analysis of ideas. ."

After all, he pulled two large stacks of paper and approved the assignment.

On the other side, Lin Yuejing and Li Zheng glanced at each other almost simultaneously.

After discovering the other person's peeping glance, he lowered his head in panic and looked at his curled face.

And my heart is more stable-

[Fortunately, she (he) is also dumbfounded. 】

Since the other party was also ignorant, he wasn't so flustered.

Li Zheng reviewed the question again.

Very good. Isn't this kind of problem that does not depend on the formula theorem its own advantage?

Mathematical Network, Expand!

Math brain, start!

No tricks, no tricks!

5 minutes later.

Li Zheng raised the smoke above his head and went down.

Go to your mother's mathematical brain.

Go to your mother's mathematical network.

What is this?

What is this problem...

Prove your brother-in-law.

It’s not just totally unthinking.

I don't even have a line of thinking.

All the questions he has done, all the problems he encountered, have nothing to do with this question.

This inexplicable thing should be called "XXXX conjecture", right?

Isn't there any drama when Gui Jianfeng comes?

There may be a chance to understand them.

Li Zheng couldn't help but glance at Lin Yuejing again.

Lying trough!

She is writing wildly!

At this moment, Li Zheng panicked.

Isn't... she's not on the first floor?

But on the fourth floor, the fifth floor?

This is impossible, the third layer that I only reached for thousands of hours.

Even geniuses have a limit.

Even if Zhu Hongbo was so clever, he would not be so shameless that he would not be embarrassed to take a question that high school students could never generate ideas.

There must be some simple and rude standard solutions forgotten by myself...

Because I have been engaged in the connection between physics and mathematics, and ignore the basic mathematical methods.

Li Zheng held his breath for only three seconds, and a clear routine jumped out—

Mathematical induction!

Look at my memory, it has been useless for a long time, and I have forgotten it.

But this question is not a simple induction. It also requires divisive knowledge, and perhaps algebraic transformation.

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 problem of 2000 prime numbers, let alone count, it's impossible to write 2000 prime numbers.

Logic is the top priority. It is necessary to make the logic completely smooth before it is possible to solve problems. In the middle, a bunch of logic words are used to connect, and perhaps contradictions and counter-proofs are also used.

So first of all, we must forget the number 2000.

Obviously, this is just a number that people who ask questions are bluffing about, and it is meaningless in itself.

23333 is ok, 666 is okay, what to write happy.

It happens to be divisible by 2,000 different prime numbers, just smoke bombs.

In fact, it is necessary to prove that it can be divided by any number of different prime numbers.

Huh, but so.

So, get started.

...

after an hour.

Zhu Hongbo approved the papers of the three classes.

First look at the left.

Li Zheng wrote and stopped, obviously his mind was still messy, and he was bumping into chaos.

Look at the right again.

Lin Yuejing simply looked at the question in a daze.

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

Zhu Hongbo smiled.

Happy?

Real math?

Are you happy?

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

No one ignored him.

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

When talking on both sides, the words are not much different.

"Guess what, you guessed it, the two of them have been calmed down."

"Teacher Tao, don't panic. They are only high school students in mathematics. I just surrendered with a random question."

"Relax, I'm stable here."

"Let them know that they have to be in awe of the subjects and teachers."

"Hey, I won the prize, I won the prize, just the natural depth of the math problem."

After pretending to be around, Zhu Hongbo returned to the door of the teaching and research team full of energy.

I wanted to go directly.

But when you think about it, the chances of these two people are so rare.

He secretly opened a crack in the door and peered through.

This glance is a stare.

Does it make sense!

These two people didn't succumb.

But whispering!

In fact, as soon as Zhu Hongbo left, the conversation had already begun.

The first is Li Zheng, pretending to say to himself.

"Lao Zhu came out with this question...Is it sincere..."

"Hmm..." Lin Yuejing sent a response that was not a response.

After struggling for a while, Li Zheng struggled to pull the chair: "Do you want to join forces?"

"..." Lin Yujing nodded, after tangling for a while.

After that, the two pulled closer and closer until they got together.

Whispering, never ending.

"Yes, prove the lemma first, and then the more general proposition."

"Well... the big idea, the contradiction and contradiction in the middle, I thought about it as soon as I came up, but I couldn't find a suitable algebraic variant."

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

"!!! Sure enough, it's a **** suitable for mechanical calculation of dumbass!!!"

"Mao, I thought of this as soon as I came up, it was the intuition of the mathematical brain."

"Scum! This is all out, and it turns out that it's super simple."

"Is... oh? That's right! It's a lazy woman who is opportunistic."

"Scum! Pinch you!"

"Am I wrong? Are you opportunistic?"

"..."

"Aren't you lazy?"

"..."

"Aren't you a woman?"

"...Scum! I have proved your kung fu."

"Rely on... wait for me... we hand in together, let's put them together in advance, unanimously."

"Um, scare Zhu Zhu."

After the two determined their strategy, they rushed back to their original positions before Zhu Hongbo returned.

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

At this moment, his eyes were full of blood.

Isn't it **** you?

Why is it unanimous?

At this moment, Zhu Hongbo realized.

Little two... The best way to persuade two little classmates to fight.

Is to become their common enemy.

Zhu Hongbo had to push the door directly.

But looking at the virtue of the two, they just sighed and slid back to the corridor with the thermos in their backs and walked all the way to the window.

Can use mathematics to move forward with the enemy, side by side...

Isn't this a great happiness?

Zhu Hongbo felt some inexplicable sourness at the same time.

After all, except when his wife wiped out his salary...that was a bit of mathematics and he was not willing to talk...

It's 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 adults is also limited, give them another 5 minutes.

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

Impossible, they cannot solve this problem.

Five minutes later, Zhu Hongbo pushed open the door of the office.

After Li Zheng and Lin Yuejing met each other with small eyes, they got up at the same time.

"finished."

"Well."

"Humph." Zhu Hongbo only responded with a sneer and didn't care about the kittens between them.

He took the answers of the two, walked to the table and tiled them side by side.

Look around the two sheets of paper at the same time.

It's almost the same.

Ok……

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

Then came the hypothesis...the hypothesis was right.

After that……

and many more……

Can they pinch out this identity? ?

Then came the twists, variants, contradictions...

Then, extend the lemma to prove the general proposition of universality.

Finally, the existence of N was proved.

In just one minute, Zhu Hongbo completed the examination.

You don't have to watch it for the second time, the thinking is very clear.

Then, the big sweat beads dripped down.

The dough shivered.

This TMD...

It doesn't make sense...

Behind Zhu Hongbo's trembling, Li Zheng and Lin Yuejing both met with small eyes.

Comfortable.

There is no awe.

After a long period of self-doubt, Zhu Hongbo stared at the two scrolls, trembling: "You... you two... tell me the truth... did you find an answer?"

The two of them were stunned. Faced with this, they were naturally guilty.

Li Zheng lowered his head and said: "To tell the truth, Teacher Zhu... I read Lin Yuejing's thoughts."

Lin Yuejing did not say, "I used Li Zheng's identity..."

"Apart from this?" Zhu Hongbo glared, asking more and more tremblingly, "Have you ever looked for this question online? Have you seen it before? Did you get ideas from places other than you?"

The two shook their heads at the same time.

"I'm fucking." Zhu Hongbo burst into a swearing, and fell down on the chair with his buttocks, "The two of you... are too much..."

"It's not too difficult." Li Zheng scratched his head.

"Isn't it an identity?" Lin Yuejing also felt that Zhu Hongbo had overreacted.

"Fuck." Zhu Hongbo scolded again, and then picked up two answers and said angrily, "Do you know what this question is? IMO real question! Only 35% of IMO players made this question!"

The two opened their mouths at the same time.

IMO, International Mathematical Olympiad.

This is undoubtedly the most grand and top mathematics event.

Good you Zhu Hongbo!

Use this kind of thing to bully people!

The number competition is undoubtedly to be carried out, but it is still in the very basic preparation stage. At this time, I will take the IMO real questions, and you are really ruthless!

However, this hatred passed away.

They also understood at this time that Zhu Hongbo's trembling was not annoyed, but excited.

With very limited training, you can solve IMO problems, which is really worth the excitement

But Li Zheng and Lin Yuejing are far less excited than Zhu Hongbo.

"There's nothing to be happy about, I'm still far away..." Li Zheng said with a fist, "I can't do it alone. For more than an hour, even the big ideas are a mess."

Lin Yuejing also lowered his head: "I haven't been able to find the identity. I don't have enough time. I can't do this."

"Where did you just get here?" Zhu Hongbo stood up excitedly, clutching the shoulders of the two, "I only reacted now. The advantages of the two of you are completely complementary. One is a strategist and the other is a practitioner. One Stronger than superconventional thinking, one is stronger than superconventional calculations. If it is possible... it is possible... you two must not be separated in the future! You must cooperate together!

Zhu Hongbo was so violent that both of them shrank.

After being excited, Zhu Hongbo also said that he said: "I... I am talking about project cooperation together, not the kind of together. Of course, your kind of together is also possible...haha...hahaha..."

"Boom boom".

The knock on the door rang.

Tang Zhifei and Tao Feifei suddenly appeared at the door.

"Teacher Zhu, please come out and talk." Tang Zhifei hooked.

Tao Feifei snickered: "Well...it's really stable...the math really has a natural depth."