My house collapsed since I became the top scorer in the college entrance examination

The Kratz conjecture, also known as the 3n+1 conjecture, the odd-even normalization conjecture, the Ulam problem, the Kakutani conjecture, etc., is known as the simplest unsolved mystery in the history of mathematics.

How simple is it? It's so simple that even most elementary school students can understand it.

Take any positive integer, if it is an even number, divide it by 2, if it is an odd number, multiply it by 3 and add 1, and then repeat this process, the final result will be 1.

This is the famous Kratz conjecture. Its expression is so simple that it sounds like a little game played by teachers in mathematics classes for primary school students.

But it is precisely this mathematical problem that can be said to be the simplest expression of unsolved problems in the history of mathematics, but it has troubled the mathematics community for nearly a hundred years.

Every year, a large number of mathematical talents want to prove it. Although the best mathematicians in the world think it is correct, they are unable to prove it.

Intuitively, it may seem that different numbers at the beginning will affect the final result. Maybe some numbers are the starting point, and the final result is 1, while starting with other numbers, it will tend to infinity.

But Kratz predicted that this was not the case. He speculated that if the initial number was a positive integer and the process was repeated enough times, the final result would be 1 no matter what the initial number was.

After this, 1 becomes the initial number and will fall into a loop: 1, 4, 2, 1, 4, 2, 1

Assume this number is 9, then, the operation is as follows:

9-28-14-7-22-11-34-17-52-26-13-40-20-10-5-16-8-4-2-1

Ultimately, for all theoretical numbers, this sequence ends in a cycle of 4, 2, and 1.

Xiao Ran looked at the Kratz Conjecture proof formula in his mind. He could roughly see that the idea of ​​​​solving the problem was based on differential equations, but the specific steps and the application of some of the formulas involved were a bit confusing.

I can barely understand only a small part of it by half-guessing.

"It seems that if you want to thoroughly understand the formula for proving Kratz's conjecture, you will have to spend a lot of time and energy." Xiao Ran took a deep breath and sighed inexplicably.

But even so, it did not affect his inner excitement and joy at all.

Although Kratz's conjecture is not as good as the seven major conjectures in the mathematical world of the millennium, it is still a world-class mathematical conjecture, and its influence and fame are not much smaller.

Of course, this is also due to the fact that Kratz’s conjecture is too simple to express compared to other world-class mathematical conjectures.

It is completely a model of pretending to be a pig and eating the tiger. If the Riemann Hypothesis can be compared to the emperor Huang Tian who is arbitrary for all eternity in the Internet literary world, then the Kratz Hypothesis is undoubtedly the Emperor Xiao Yan.

Either they are pretending to be pigs and eating tigers, or they are pretending to be pigs and eating tigers. Therefore, every year, a large number of mathematical talents are attracted to plunge into this bottomless pit, and finally shed regrets in this endless cycle without any hope. tears.

If he publishes this Kratz conjecture, he doesn’t know whether the whole world will be shocked, but the mathematics community will definitely be trembling.

By then, a Fields Medal will definitely be indispensable.

It can be said that at the moment he held Kratz's conjecture, one of his hands had already touched the Fields Medal trophy, it just depended on when he published it.

Thinking of this, he couldn't help but rub his chin and fell into deep thought: "I don't know if solving Kratz's conjecture is enough to lift the ban on me. Well, maybe it's a little unsafe, but a Fields Medal is definitely enough!"

You know, there is currently only one winner of the Fields Medal in our country, and that is Dean Qiu, who is now the dean of the Institute of Mathematics at Yanda.

One can imagine how valuable the Fields Medal is.

Alas, although it does not prove the Riemann Hypothesis, it does prove the Kratz Hypothesis so far!

hey-hey!

"The next goal is to fully understand Kratz's conjecture. Half a year, half a year is enough!"

"Go home and study!"

In the next two months, Xiao Ran basically stayed at home, immersed himself in studying all day long, and lived the life of an ascetic monk.

In addition to returning to school midway to fill out my application requirements, I occasionally went to the library to borrow a few books.

I visited Lao Lu a few times by the way, allowing the old guy to gain experience at the same time.

He accidentally tortured Lao Lu and Lao Liu in more than ten games of chess, leaving a deep psychological shadow on the two old guys that they were so terrifying and invincible.

Then I made an appointment with Yang Tao at the Golden Dragon Hotel at eight o'clock in the evening to discuss life and have in-depth and profound exchanges.

Then I would occasionally go out to have a meal with Fang Qinya to warm up the relationship.

Well, if you look at it this way, in fact, ascetics are not that hard after all!

In addition, the foreign journal "Journal of Pure and Applied Mathematics" also sent news that the paper has been successfully passed and will be published next month.

Time passed by and finally came the day when school started.

August 31, 8 a.m.

Shanghai Pudong Airport.

"Brother Xiao, here, here!" Xiao Ran just stepped into the airport lobby. Gu Ming in front of him waved to him loudly, regardless of the surprised looks around him.

He gave full play to his social cattle and second-hand attributes.

Next to Gu Ming, An Xin and Yang Xiaoxi were still standing, but at this moment, both of them blushed with embarrassment because of Gu Ming's actions, and subconsciously took a few steps away from him.

Not surprisingly, both An Xin and Yang Xiaoxi were admitted to Yanda University, but An Xin chose the business administration major, while Yang Xiaoxi, like Xiao Ran, chose the mathematics major.

As for Gu Ming, he sighed secretly.

I can only sigh, bad fate!

This second-rate college entrance examination student scored 580 points, which was a few points away from the admission score of Aurora University in the past. When filling out his application form, under the persuasion of teacher Han Yan, he finally chose Beijing Institute of Technology as his first choice.

Because of this, I happened to go to Yanjing with them when school started.

"Stop shouting." Xiao Ran walked towards the three of them and cursed at Gu Ming angrily: "If you don't think it's embarrassing, I still think it's embarrassing."

"Hehe, isn't this because I'm afraid you didn't see it, Brother Xiao?" Gu Ming said with a wink. It was probably because of the start of school, this guy was very excited at this time.

Xiao Ran was too lazy to pay attention to these two idiots. He turned his gaze to An Xin and Yang Xiaoxi and said hello: "An Xin, Xiao Xi."

"Xiao Ran, good morning." Yang Xiaoxi whispered shyly, met Xiao Ran's eyes, immediately lowered her head in panic, and buried her head in the heavy fruit.

An Xin had become accustomed to the behavior of her deskmate and best friend, and nodded calmly: "I'm waiting for you. We can board the plane in half an hour. Let's get the boarding pass first."

Half an hour later, four people lined up to board the plane following the flow of people.

"Sir, welcome to this flight. What is your seat number?" As soon as Xiao Ran entered the cabin, the beautiful stewardess standing at the door asked with a smile.

She is said to be a beauty. In fact, she should be said to be a beautiful stewardess. She looks to be in her thirties, with a mature and elegant face. Her long black hair is tied up behind her head, and she is wrapped in a royal blue stewardess uniform. Her slender body is particularly beautiful and attractive.

Xiao Ran glanced at the sign on the chest of the beautiful stewardess, Yu Manli.

He took another look at the boarding pass and said to Manli, "F class, 4C, thank you."

Yu Manli smiled professionally and said to Xiao Ran, "Sir, please come this way."

After saying that, he took the lead and led Xiao Ran into the cabin. His big buttocks twisted and turned, making Gu Ming, who was following Xiao Ran, blush.

I wanted to pretend to be serious and look straight ahead, but I couldn't control my turbulent heart in adolescence. My eyes kept peeking somewhere, and I was afraid of being discovered by others. After taking a peek, I immediately changed my gaze. Within two days, In seconds, his eyes returned to their original place.

It can only be said that the environment and soil of the airport are good for nourishing people. As soon as they got on the plane, Gu Ming's myopia that had been suffered for many years was almost cured.

Soon, the flight attendant took the two of them to the corresponding seats and said softly: "Please sit down, and I can help you put your luggage." After saying that, she wanted to pick up Xiao Ran's luggage.

Xiao Ran stopped her movement and said with a smile: "No, I will do it myself!"

The stewardess smiled and nodded: "Then if you need anything, just ask me and just press this button." She pointed to a green button next to a chair.

Gu Ming opened his mouth, as if he wanted to say something, but in the end he closed his mouth depressedly and put away his luggage gloomily.

After the stewardess left, he glanced at Xiao Ran with some resentment: "Brother Xiao, do I have no sense of existence?"

"How do you say this?" Xiao Ran asked without raising his eyelids, half lying on the big chair in the first class cabin.

"Why is that flight attendant so attentive to you from the beginning to the end, but she treats me as if she can't see me!!!" Gu Ming gritted his teeth, and his eyes turned red with envy.

"Oh, you said this." Xiao Ran picked up a magazine and covered his face, saying calmly.

"I've flown this flight several times before."

"That's it?"

"Well, I had a few private conversations with her by the way."

Gu Ming:.

"Very smooth!" Xiao Ran added.

Gu Ming:! ! !

"Brother Xiao, you really deserve to die!!!!"

The plane flew for about half an hour, and the flight attendants began to distribute meals and drinks to the passengers. Yu Manli came to Xiao Ran and asked softly: "Mr. Xiao, may I ask, do you need anything to drink? We have black tea here. , coffee, fresh milk, and freshly squeezed juice.”

Xiao Ran removed the magazine from his face and opened his eyes, only to see Yu Manli's bright and lively eyes with heavy makeup looking at her. Noticing Xiao Ran's eyes, the corners of her eyes were slightly raised, and her eyes were shining. With a hint of charming smile.

"Bring me a cup of coffee."

"Okay." Yu Manli responded, her expression suddenly becoming disappointed.

"Mr. Gu, what would you like to drink?" She asked Gu Ming next to her with a forced smile on her face.

Have you finally noticed my presence?

Gu Ming's eyes filled with tears, "Give me a glass of milk!"

"Okay, okay!" Yu Manli's expression froze for a moment, but she returned to normal in an instant and poured him a glass of milk.

Looking at Yu Manli's retreating back, Gu Ming looked at Xiao Ran with some confusion: "Why did her expression seem wrong when I asked for milk?"

Xiao Ran said calmly: "Because that is the secret code between me and her."

"What's the secret code?" Gu Ming asked innocently.

Xiao Ran: "The secret code to go to the toilet."

Gu Ming:.

There is no way to fly on this crappy plane! ! !

Xiao Ran looked at Gu Ming who had broken through the defense speechlessly. He could only roll his eyes and ignore this guy.

Until the plane was about to land and the flight attendants started to collect the water glasses on the small table in front of the passengers, Yu Manli came to Xiao Ran again. When she was putting away his water glasses, she handed him a small note without leaving any trace. .

Xiao Ran smiled slightly, put the note away, and after she walked away, he stuffed it into the bag on the backrest.

When getting off the plane, the crew members stood at the door to see off the passengers. When Xiao Ran left, he saw that among the crew members, Yu Manli said goodbye to him with a smile and glanced at him seductively. One glance.

Xiao Ran smiled faintly, raised his hand, and got off the plane without looking back.

Gu Ming, who was following Xiao Ran, was completely numb when he saw this scene.

What is the reporting hotline for this airline?

I can not stand it any more! If I fly with this airline again, I will be like a dog!

Thank you to the [Modest and Strict] boss for your 1,000-point reward, and thank you for your support!