Rule system

Three days before the holiday.

Students are beginning to look forward to the holidays and Chinese New Year, and the state of class is more or less affected.

This is especially true for holiday arrangements.

What Lin Xiaoqing and Zhao Linlin must do every day is to get together to discuss and go out to play. Occasionally, they don’t even spare time for self-study. Niu Lianhua is still sitting on the podium, holding papers in each hand, pretending to discuss topics. I got closer and started talking.

"Is it hot in the South Island? What clothes do you want to wear?"

"Summer clothes are fine." Lin Xiaoqing shared the information, "I checked the information yesterday. The annual temperature in the South Island is more than 30 degrees, so there is no need to be afraid of the cold."

"It's great, I can wear a skirt again, I must dress up beautifully then."

"me too."

"Do you think it's okay to wear a knee-length dress? Ordinary, or a gauze skirt? I think the gauze skirt is too exposed and I dare not wear it. If it is thicker, will it be too hot?

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

"Your mother wears so fashionable clothes. When I watch TV, people on the beach are all dressed like that, just covering... and foreigners, the upper body... hehe..."

"What are you talking about! Shame or not!"

"Tick you!"

"I scratch you..."

Zhao Yi looked at the book on the table, his eyes were still in his eye sockets, without moving a moment, he kept meditating in his heart, "Lose is emptiness, emptiness is color, women are tigers..."

"A woman is a monster..."

"Women are the devil..."

"Read the book carefully, don't go wrong, don't go wrong!"

Niu Lotus still has majesty.

The two girls didn't dare to make a fuss too much. After talking for a while, they seemed boring, and their attention shifted to Zhao Yi.

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

"Correct."

"Is it university mathematics?"

"No."

"What is it, what is it." Zhao Linlin also leaned over and took a few glances, and found that the content was very novel, most of them still couldn't understand, and it felt boring. In high school, he felt better than a college student."

The two girls sat back with a smile.

Zhao Yi looked up and shook his head silently. He was really studying hard, not just memorizing textbooks, but learning something new.

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

Ok.

As a gift for the time being.

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

The core content of books and notes revolves around one point: fuzzy mathematics.

Modern mathematics is based on set theory. The important significance of set theory lies in its ability to extend the abstract ability of mathematics to the depths of the process of human knowledge: use sets to describe concepts, and use set relationships and operations to express judgments and Reasoning, thus bringing all realistic theoretical systems into the mathematical framework of set description.

no doubt.

Precise mathematics and random mathematics based on classic set theory have achieved remarkable results in describing the internal laws of various objective phenomena in nature.

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

Since the classic set theory can only limit expressiveness to phenomena and concepts with clear extensions, it requires that the membership of elements to the set must be clear and not ambiguous. Therefore, for those unclear concepts with unclear extensions that cannot be reflected by the classic set, Scientists avoid them as much as possible.

With the continuous development and progress of science, there must be a system that can extend beyond the classic set theory to describe those uncertain concepts.

This is fuzzy mathematics.

The concept of fuzzy mathematics is out of the conventional mathematics system, but it has broad prospects in the application field.

For example, the field of computing.

When abandoning complex calculations that are difficult to determine, calculators based on fuzzy mathematics can increase the computational efficiency by a hundred or a thousand times.

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

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

In the field of major decision-making, such as deciding some major affairs, facing a lot of uncertain factors, the theory of fuzzy mathematics can be used to ensure that the decision is as correct as possible, rather than "gambling-gambling" The same, a decision is made with a clap of mind.

The Three Gorges Dam is an example.

In the process of designing and constructing the Three Gorges Dam, many uncertain factors will be encountered. Decision-making is related to a 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 the final decision.

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

After that, the country paid more attention to fuzzy mathematics, but in fact, because the content of fuzzy mathematics research is inherently uncertain, many people in the field of mathematics are very resistant to fuzzy mathematics. They believe that fuzzy mathematics is not true mathematics. It's a bit like literature and philosophy.

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

Professor He has been studying fuzzy mathematics all his life. He is very clear about the development of fuzzy mathematics in China. Most colleges and universities do not have relevant courses. There are only a handful of people who have in-depth research on fuzzy mathematics.

He hopes to pass on the things he has studied for a lifetime.

After receiving the books and manuscripts, Zhao Yi took time to study patiently. He found that Professor He was right. Fuzzy mathematics and artificial intelligence are very relevant.

For example, calculation.

To perform multiplication, an ordinary computer first converts two numbers into binary, and then uses the rules of binary multiplication to calculate an accurate result step by step.

The human brain is different.

If you ask the result of multiplying 134 by 257, it is difficult for the majority of the population to make it. If you want to make the answer more accurate, maybe they will do the calculation like this. First calculate 13*25 and find that it is 325, and then you can get a result," It should be around 3.5 million, and the last digit is 8."

The result is very vague.

In real life, many things do not need to be very accurate. All that is needed is a "fuzzy" answer. For similar things, the human brain can outperform the computer and quickly get a fuzzy result.

Fuzzy mathematics can be applied in this field.

The intelligence designed with the logic of fuzzy mathematics can deal with problems that are difficult to determine the result, and the logic of thinking is closer to the human brain.

Zhao Yi carefully looked at the knowledge of fuzzy mathematics, some concepts and logic, which gave him some new ideas for designing robot programs.

"Let's talk about it when you come back from vacation!"

noon.

Zhao Yi went to lunch alone.

He usually goes out to eat with Sun Liang. The stalls on the street and the small restaurant on the opposite side are hygienic and unhygienic. They are better than the food in the school cafeteria.

Sun Liang went to the winter camp.

Zhao Yi had lost his sarcasm and sarcasm, and he was really unaccustomed to it. He quickly resolved his lunch before returning to the classroom and saw Zhao Linlin rushing in.

"Zhao Yi, it's not good!"

Lin Xiaoqing followed, shouting, "Zhao Yi! Zhao Yi!"

"what happened?"

The two girls panted and explained that they ran into Niu Lianhua on the way back from the cafeteria. Niu Lianhua told them a "good news". She discussed with Teacher 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 be calm and smiled, then turned the corner and ran back quickly.

"Absolutely, right, no, OK!"

Zhao Yi took a deep breath and immediately looked at Zhao Linlin and smiled calmly, "Linlin! Dear Linlin, let's do this! You stay at home. I think it's better to go with Xiaoqing, plus Aunt Zhao also. It doesn't matter, you just have to..."

Lin Xiaoqing nodded along with her.

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

Lin Xiaoqing said softly, "Or, just go with Teacher Niu and Teacher Xue?"

"Absolutely, right, no, OK!"

"I don't agree 100%! Otherwise, I will go by myself and we will be separated. Anyway, I will not be with them!"

Zhao Yi said very firmly.

He can still remember the experience of the Mathematical Olympiad. Niu Lianhua and Xue Pinggui were together, which was a torture to others.

Even if you can withstand the pressure of'blindness' and go out on vacation with two teachers around?

Is this going on vacation?

Looking at the pitiful Zhao Linlin, Zhao Yi still couldn't bear to leave it down. Actually, it would be weird without Zhao Linlin. He was with Lin Xiaoqing and Zhao Hongjuan...too awkward!

Zhao Linlin can play a mediating role.

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

Yes indeed!

Zhao Yi's eyes lit up, and he rushed out of the classroom, got on the car and left the school gate, directly found a travel agency, and asked them to help book tickets and hotels.

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

No need to choose now!

Order expensive!

Zhao Yi chose a luxury hotel by the sea. It costs more than two thousand yuan a night. Money is not everything, but money is very important. He measured the salary of the teacher 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 comfortable with enjoyment, but he must get rid of Niu Lianhua and Xue Pinggui.

This is the bottom line!

...

School is over in the afternoon.

Lin Xiaoqing returned home with her schoolbag, and she talked to Zhao Hongjuan when she arrived home, "Mom, Mr. Niu said that she will also go on vacation with him, and Mr. Xue who teaches chemistry. They seem to be in love, but Mr. Niu is still worried Lynn."

"This is great!"

Zhao Hongjuan's reaction was as expected. She said with a full face of surprise, "With two teachers following, you are not afraid of delaying your studies. You can still find Teacher Niu and Teacher Xue to make up lessons."

Lin Xiaoqing nodded vigorously, seeming to be an approval, but frowned and said, "But Zhao Yi has already mentioned the booking and hotel!"

"what?"

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

"No!"

"I have to give him the money."

Zhao Hongjuan was a little fidgeting, she frowned when she said, "By the way, your teacher also go, let Zhao Yi refund the ticket, the hotel is also refunded, let's rebook! Just tomorrow, I will go to book!"

Lin Xiaoqing hurriedly shook her head, "The money is spent, and the refund is very expensive. It is said that one-third of it is deducted. I don't know. Anyway, the refund is not possible, and the ticket for the New Year is tight.

"That's it!"

Zhao Hongjuan hesitated for a long time, before saying, "Well, let's talk to Teacher Niu..."

In the end there was no result.

Niu Lianhua heard that Zhao Yi had bought tickets and booked a hotel. There were no more tickets for the same day, so he could only go one day wrong.

The hotel is even more impossible.

Zhao Yi and the three 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. That's what happened in the car that started. Lin Xiaoqing kept saying, "It's a pity that Teacher Niu didn't go with me!"

"I also told her to make up the math."

"And Teacher Xue... what a pity!" She said with a smile in her mouth.

Zhao Yi sat next to Lin Xiaoqing, stabbed her hard with his fingers, making Lin Xiaoqing flushed, and finally stopped talking about Niu Lianhua.

This girl...

Just can't lie!

Ever since I talked to Zhao Hongjuan about Niu Lianhua, Lin Xiaoqing probably felt awkward, always afraid of what Zhao Hongjuan would see, so she kept saying it again and again.

Zhao Hongjuan had heard it a long time ago.

Knowing daughter Moruomu.

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

Zhao Yi wanted to laugh when he looked at it.

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

"I turned a blind eye to the one who should cooperate with you,

Forcing someone who loves you the most to improvise.

When did we start to put away the bottom line,

Follow the changes of the times and watch those botched performances..."

On the plane.

Of the four tickets ordered by Zhao Yi, there are three places together, and one place is two rows behind.

Zhao Hongjuan sat behind.

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

Zhao Linlin was vying to sit by the window. Lin Xiaoqing was sitting in the middle. Zhao Yi could only sit by the aisle. The two girls chatted, almost unable to stop, and talked about sleeping at night. .

"We sleep in a bed!"

"Sleep with arms around!"

"Xiaoqing, I used to be very hard because of you, but I didn't expect it to be soft too..."

Lin Xiaoqing covered Zhao Linlin's mouth and glanced at Zhao Yi shamely, "Speak down!"

Zhao Yi was holding his arms and closing his eyes.

He was not asleep.

suddenly.

He opened his eyes wide, patted his head and said anxiously, "It's broken, it's bad!"

"what happened?"

"I forgot. Unexpectedly, I booked two rooms in the end. What should I do!"

"what?"

Lin Xiaoqing and Zhao Linlin looked at each other, they had never thought about the room.

Originally the three people planned to go together. Two rooms are definitely enough. Even if there is an extra Zhao Hongjuan, there are only four people. In theory, two rooms are enough.

But think about it?

its not right!

So here comes the question--

There are four people, three women and one man, one woman is 40 years old, and the others are 18 years old. Among them, there are no couples who can live together with a certain relationship.

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