Three days away from the holiday.

Students are beginning to look forward to the holidays and the New Year, and the state of classes has been affected to a greater or lesser extent.

This is especially true if there are holidays scheduled.

What Lin Xiaoqing and Zhao Linlin have to do every day is to get together to discuss and go out to play, and occasionally they don't even let go of self-study time, Niu Lianhua is still sitting on the podium, the two of them are holding papers in their hands, pretending to discuss topics, and they get closer and start talking.

"Is it hot over there in the South Island, what do you want to wear?"

"Summer clothes will do. Lin Xiaoqing shared the information, "I checked the information yesterday, and the South Island is over 30 degrees all year round, so there is no need to be afraid of the cold at all." ”

"It's good that I can wear a skirt again, and I must be dressed up beautifully. ”

"Me too. ”

"Do you think it's okay to wear the knee-length one? Plain, or gauze skirt? I think the gauze skirt is too revealing, I don't dare to wear it, if it's a thicker one, will it be too hot?"

"It's okay, my mom is here, just ask her, she studies this every day. ”

"Your mother is so fashionable in her clothes, I watch TV, people on the beach wear that kind of clothes, just cover ...... There are also foreigners, upper body ...... Hey hey ......"

"What do you say?

"Scratch you!"

"I'll scratch you......"

Zhao Yi looked at the books on the table, his eyes were still in his sockets, he didn't move, and he kept silently thinking in his heart, "Color is emptiness, emptiness is color, women are tigers......"

"Women are monsters......"

"Women are the devil......"

"Read books carefully, don't deviate from your thoughts, don't deviate!"

The cow lotus still has majesty.

The two girls didn't dare to make too much fun, and after talking for a while, they seemed to feel bored, so their attention shifted to Zhao Yi.

Lin Xiaoqing stared at the books on the table and asked, "Zhao Yi, is this mathematics?"

"Yes. ”

"Is it college math?"

"It's not. ”

"What is, what it is. Zhao Linlin also came over to take a few looks, and found that the content was very novel, and most of them couldn't be understood, so they felt bored, "Don't worry about him, it's just a pervert, obviously he is in high school, and he feels better than college students." ”

The two girls sat back laughing.

Zhao Yi glanced up and shook his head silently, he was indeed studying seriously, not an ordinary memorizing textbook, but learning something new.

This is a New Year's gift from Professor He.

All right.

Think of it as a gift for the time being.

Zhao Yi received a stack of materials, including two professional reference books, and two handwritten notes, all of which were handwritten by Professor He.

The core of both the book and the notes revolve around one point: fuzzy mathematics.

Modern mathematics is based on set theory, and the significance of set theory lies in its ability to extend the abstract ability of mathematics to the depths of human cognition: to describe concepts with sets, and to express judgments and reasoning with the relations and operations of sets, so as to incorporate all realistic theoretical systems into the mathematical framework of set description.

No doubt.

Exact mathematics and stochastic mathematics based on classical set theory have achieved remarkable results in describing the internal laws of various objective phenomena in nature.

However, like random phenomena, there are a large number of vague phenomena in life, such as cloudy, overcast, light rain, heavy rain, poverty, food and clothing, etc.

Because classical set theory can only limit expressiveness to phenomena and concepts with definite extensions, it requires that the membership of elements to sets must be clear and not ambiguous, so scientists try to avoid those concepts with unclear extensions that cannot be reflected in classical sets.

As science continues to evolve and progress, there must be a system that can extend beyond classical set theory to describe uncertain concepts.

This is fuzzy mathematics.

The concept of mathematics is fuzzy and detached from the conventional mathematical system, but it has a wide range of applications in the field.

For example, in the field of computing.

When those complex calculations that are difficult to determine are abandoned, calculators based on fuzzy mathematics can increase the computing efficiency by a hundredfold or a thousand times.

The fuzzy inference machine developed in China 20 years ago - the prototype of discrete components, the inference speed has reached 15 million times per second, marking a very important step in breaking through the difficult technology of fuzzy information processing in China.

In the field of fuzzy mathematics, the most promising prospects are decision-making and artificial intelligence.

In the field of major decision-making, such as deciding on some major affairs, you have to face a lot of uncertain factors, you can use the theory of fuzzy mathematics to make the decision more correct as much as possible, rather than making a decision with a pat on your head.

The Sanxia Dam is an example.

In the process of designing and constructing the Three Gorges Dam, there will be many uncertain factors, and the decision is related to the century-old plan, and it is certainly not possible to make a decision directly.

At that time, Professor He used the concept of fuzzy mathematics to make detailed auxiliary calculations to help senior management make final decisions.

This is Professor He's battle for 'fame'.

After that, China paid attention to fuzzy mathematics, but in fact, because the content of fuzzy mathematics research itself is uncertain, many people in the field of mathematics are very resistant to fuzzy mathematics, they think that fuzzy mathematics is not real mathematics, but a bit like literature and philosophy.

In addition, fuzzy mathematics is very high-end in the field of application, which directly affects the popularity of the subject.

Professor He has been studying fuzzy mathematics all his life, and is very aware of the development of fuzzy mathematics in China, most colleges and universities do not have relevant courses, and there are only a handful of people who have studied fuzzy mathematics in depth.

He hopes to pass on what he has studied all his life.

After Zhao Yi received the books and manuscripts, he took the time to study patiently, and he found that Professor He was right, fuzzy mathematics and artificial intelligence are very compatible.

For example, computing.

Ordinary computers calculate multiplication by first converting two numbers into binary, and then using the rules of binary multiplication to calculate the accurate result step by step.

The human brain is different.

If you ask the result of multiplying 134 times 257, it is difficult for most people to do it, and if you want to make the answer more accurate, you may calculate it like this, first calculate 13*25, and find that it is 325, and then you can get a result, "It should be about 3.5 million, and the last digit is 8." ”

This result is vague.

In real life, many things don't need to be very accurate, all that is needed is a 'fuzzy' answer, and in similar things, the human brain can be superior to a computer and quickly arrive at a vague result.

Fuzzy mathematics can be applied in this area.

Intelligence designed with fuzzy mathematical logic can deal with problems that are difficult to determine the outcome, and the logic of thinking is closer to the human brain.

Zhao Yi carefully looked at the knowledge of fuzzy mathematics, and some concepts and logics made him have some new ideas for designing robot programs.

"Let's talk about it when we get back from vacation!"

Midday.

Zhao Yi went to lunch alone.

He usually goes out to eat with Sun Liang, and the stalls on the street and the small restaurants opposite, hygiene and unhygiene are put aside, and the food in the school cafeteria is always more fragrant than the food in the school cafeteria.

Sun Liang went to the winter camp.

Zhao Yi lost his friend who complained and sarcastically all the way, and he was really a little unaccustomed to it, so he quickly solved lunch, returned to the classroom, and saw Zhao Linlin rushing in.

"Zhao Yi, it's not good!"

Lin Xiaoqing followed closely behind, constantly shouting, "Zhao Yi!

"What's wrong?"

The two girls panted and explained that on the way back from the cafeteria, they met Niu Lianhua, Niu Lianhua told them a 'good news', she discussed it with Xue Pinggui, and decided to go to the South Island with them on vacation.

This is definitely not good news!

Lin Xiaoqing and Zhao Linlin pretended to smile calmly, turned the corner and immediately ran back.

"Absolutely, yes, no, yes!"

Zhao Yi took a deep breath, immediately looked at Zhao Linlin, and said with a calm smile, "Linlin! dear Linlin, so be it! You just stay at home, I think it's better to go with Xiaoqing, plus Aunt Zhao doesn't matter, you can ...... with you."

Lin Xiaoqing nodded along with her.

Zhao Linlin clenched her teeth, tears were about to fall, and she looked pitiful.

Lin Xiaoqing said softly, "Why don't you go with Teacher Niu and Teacher Xue?"

"Absolutely, yes, no, yes!"

"I don't agree with it 100 percent, otherwise I'll go by myself, let's separate, I'm not with them anyway!"

Zhao Yi said very resolutely.

He still remembered the experience of the Olympiad exam, Niu Lianhua and Xue Pinggui were together, which was a kind of torture for others.

Even if you can withstand the pressure of being 'blind' and go on vacation with two teachers?

Is this going on vacation?

Looking at the poor Zhao Linlin, Zhao Yi still couldn't bear to throw it down, it was actually weird without Zhao Linlin, he was with Lin Xiaoqing and Zhao Hongjuan...... It's so awkward!

Zhao Linlin can play a mediating role.

For example, Zhao Hongjuan and Lin Xiaoqing sleep in the same room, and Zhao Linlin can ...... with him Ahem!

That's right!

Zhao Yi's eyes lit up suddenly, and he quickly rushed out of the classroom, rode out of the school gate, and directly found a travel agency and asked them to help book air tickets and hotels.

He originally planned to take time to buy a ticket at the airport tomorrow, and then check the information before choosing a hotel.

Don't choose now!

Just order the expensive one!

Zhao Yi chose a luxury hotel by the sea, it costs more than 2,000 yuan a night, money is not everything, but money is very important, he measured the teacher's salary level, and determined that Xue Pinggui and Niu Lianhua are unlikely to live in the same hotel.

That's it.

Whether the hotel is luxurious or not, in fact, it is not the key, it is relatively acceptable, he is not a person who is content with enjoyment, but he must get rid of Niu Lianhua and Xue Pinggui.

That's the bottom line!

......

School is dismissed in the afternoon.

Lin Xiaoqing went home with her schoolbag, and when she got home, she talked to Zhao Hongjuan, "Mom, Teacher Niu said that she also went on vacation, and Teacher Xue, who teaches chemistry, they seem to be in love, and Teacher Niu still doesn't worry about Linlin." ”

"That's good!"

Zhao Hongjuan's reaction was the same as expected, she said with surprise on her face, "With two teachers to follow, you are not afraid of delaying your studies, and you can also find Teacher Niu and Teacher Xue to make up the class." ”

Lin Xiaoqing nodded vigorously, as if with a look of recognition, but frowned and said, "But Zhao Yi has already made a reservation and a hotel!"

"Huh?"

Zhao Hongjuan's focus immediately changed, "This kid is too, I said it, we spend our own money, even if he wants to invite you, I should spend my own share!"

"No way!"

"I've got to give him the money. ”

Zhao Hongjuan was a little restless, she said and suddenly frowned, "By the way, your teacher will also go, let Zhao Yi refund the ticket, the hotel will also be refunded, let's book again! Tomorrow, I'll book!"

Lin Xiaoqing hurriedly shook her head, "The money has been spent, and it is very expensive to return, it is said that a third of it will be deducted, I don't know, it can't be refunded anyway, and the New Year's ticket is tight, and if you refund it, you may not be able to buy it." ”

"That's it!"

Zhao Hongjuan hesitated for a long time, but still said, "Okay, I'll talk to Teacher Niu about ......."

In the end, it didn't work out.

Niu Lianhua heard that Zhao Yi bought a ticket and booked a hotel, but there was no ticket for the same day, so she could only make a mistake one day later.

Hotels are even more impossible.

Zhao Yi and the three of them successfully got rid of Niu Lianhua and Xue Pinggui, and they almost opened a bottle of champagne to celebrate.

Zhao Linlin danced happily.

Of course.

When Zhao Hongjuan is there, she must show regret, this is the case in the car that set off, Lin Xiaoqing kept saying, "It's a pity that Teacher Niu didn't go with him!"

"I also said let her make up the math. ”

"And Teacher Xue...... What a pity!" she said with a smile on her lips.

Zhao Yi sat next to Lin Xiaoqing, and stabbed her with his fingers, which provoked Lin Xiaoqing's face to turn red, and finally stopped talking about the topic of Niu Lotus.

This girl......

Just don't lie!

Ever since she talked to Zhao Hongjuan about Niu Lotus, Lin Xiaoqing was probably awkward, always afraid that Zhao Hongjuan would see something, so she said it again and again.

Zhao Hongjuan had already heard it.

Knowing the daughter Mo Ruomu.

Of course, Zhao Hongjuan knew Lin Xiaoqing and didn't want the teacher to go with her, but she just took care of her daughter's face, didn't say it directly, and occasionally nodded her head along the way.

Zhao Yi wanted to laugh when he looked at it.

The mother and daughter seemed to be acting, Lin Xiaoqing was constantly performing, and Zhao Hongjuan knew that her daughter was acting, so she cooperated with the ......

"I should be playing with you and turning a blind eye,

Forcing someone who loves you the most to improvise.

When do we start to put away the bottom line,

Adapt to the changes of the times and look at those clumsy performances......"

on the plane.

Of the four tickets booked by Zhao Yi, three positions are together, and one position is in the back two rows.

Zhao Hongjuan sat behind.

Zhao Yi, Lin Xiaoqing and Zhao Linlin sat in a row.

Zhao Linlin competed to sit by the window, Lin Xiaoqing sat in the middle, Zhao Yi could only sit in the aisle, the two girls chattered, their mouths almost couldn't stop, and they also talked about sleeping at night.

"Let's sleep in one bed!"

"Cuddle up and sleep!"

"Xiaoqing, I originally thought that you would be very hard, but I didn't expect it to be soft......"

Lin Xiaoqing covered Zhao Linlin's mouth and glanced at Zhao Yi shyly, "Be quiet!"

Zhao Yi was holding his arms and closing his eyes.

He wasn't asleep.

Suddenly.

His eyes widened, he slapped his head and leaned over, and said anxiously, "Oh no, no, no!"

"What's wrong?"

"I forgot, I didn't expect it, but I booked two rooms, what should I do!"

"Huh?"

Lin Xiaoqing and Zhao Linlin glanced at each other, they didn't think about the problem of the room at all.

Originally, the three of them planned to go together, two rooms were definitely enough, even if there was one more Zhao Hongjuan, there were only four people, and theoretically two rooms were enough.

But, think about it?

That's not right!

So here's the question --

There were four people, three women and one man, one girl was forty years old, and the others were all eighteen years old, and among them there were no confirmed couples who could live together.

When only two rooms are booked, how exactly should they be allocated?