How to raise a chai chai

At noon, Zheng Jian and his teacher, who came to City A, checked into the designated hotel.

Today is the report, tomorrow is the preparation, and the day after tomorrow is the exam.

To be honest, Zheng Jian was not particularly nervous.On the contrary, the teacher who accompanied him was a little pre-exam syndrome.

After dinner, Zheng Jian was doing papers one after another.

It suddenly occurred to him that he had never seen the night view of City A before.

Do you want to go now?Forget it, if I sneak out now, if the teacher catches me, my mother will probably kill me tomorrow.

Or after the exam.After Zheng Jian made up his mind, he carefully prepared the questions.

On the second day, the organizer called all the participating students together, which was called a welcome party.

Zheng Jian thought this kind of thing was stupid.

The most helpless thing, he is also a member of this group of fools.

When he was looking around, he saw that the person sitting next to him was a little strange.

Because this person is so handsome, with three-dimensional facial features and cool white skin.Isn't this guy really a boy team player?

Zheng Jian, who was dark all the time, sat with him and compared it. The battle was too tragic.

Zheng Jian, who was not sensitive to such things, felt that the other party must be the school grass that the girls said.

The spirit of Ah Q passed down by the Zheng family is online again.

It's not a girl, it's useless to be so white!Comparing back and forth, I am a little taller than Gong Yi.

Men don't look at their faces, they look at their bodies!

"You are also a contestant? Why didn't I see you when I was eating this morning?" Zheng Jian's personality was a bit familiar.

"My family is in City A, so I didn't come to live here." The boy opposite answered Zheng Jian's question.

This person can obviously rely on his appearance to make a living, but he wants to speak with his strength.

"My name is Zheng Jian, and I'm from Yuanyang City. Are there any interesting places near City A?" Zheng Jian had a lot of small questions when he met people from City A.

Gong Yi of Yuanyang City remembers that it is a county-level city below Susu City, Jiangsu Province, "there is a fellow from Jingnan City over there."

Gong Yi naturally thought that people who came out of a province would gather together.But he didn't know that the situation in Jiangsu Province was a bit special.

Jiangsu Province is an economically powerful province ranked third in the country!There are only the capital city A and province B as a special economic zone.There are ten cities in one province, each of which has a name on the national GDP list.

Yuanyang City is only a county-level city, but it contributes one-half of the total GDP of Susu City.

The GDP of a prefecture-level city has reached the level of a moderately developed country, and it almost surpasses the provincial capital Jingnan City.

What is the capital city?In Jiangsu Province, if you want to be praised, you must have a decent GDP.

Everyone in Yuanyang City is proud of their hometown.

As a member of Yuanyang City, Zheng Jian blurted out, "We are not fellow villagers. The traffic in Jingnan City is inconvenient, so my teacher and I came here directly."

Gong Yi:? ? ?

A province is not considered a fellow?Is the transportation in the provincial capital city inconvenient?

"Do you know any special products in Yuanyang City? I brought some spicy strips here, but I finished sharing them before. I will definitely bring them to you next time." Zheng Jian said with a smile.Of course, the specialty of Yuanyang he mentioned is his own spicy strips.

Gong Yi didn't expect the other party to be so cheerful and familiar. Is the specialty of Yuanyang City spicy noodles?

kind of want to eat...

Gong Yi paused for a moment and he also began to introduce himself.

"My name is Gong Yi, and City A...doesn't seem to have any special products. We locals don't really like the special products you've heard. It's too oily, and the first bite is quite fragrant, but it's too greasy afterwards. Do you want to see the big square in the city center or go to the suburbs to climb mountains and worship Buddha?"

After hearing Gong Yi's introduction, Zheng Jian was a little discouraged.He still likes natural scenery, but he did not bring suitable shoes for climbing this time.

"I didn't bring my hiking shoes and tracksuit."

Gong Yi was a little surprised, this person was still in high spirits just now, but he didn't expect that the other person would become gloomy in the next second.Do you need such professional equipment for mountaineering?

This switch is too fast.Gong Yi seemed to be able to see the fallen leaves falling behind Zheng Jian.

"There is a very large square near this hotel. I heard that the night scene lighting is very good. There are many brands in it that you may like."

After hearing Gong Yi's introduction, Zheng Jian became energetic again.Just yesterday he wanted to go to see the night view of city A, but he didn't expect it to be nearby.

Gong Yi looked at the people around him, thinking that this person was really interesting, he was excited for a while, and depressed for a while, and the switching was too fast.

The two were whispering aside.

"Which school do you want to take?" Zheng Jian asked in a low voice.

"I guess it's University A. My family will not go out in city A. How about you?"

"My family also wants me to be admitted to University A, but I feel a little uneasy. I have my own ideas about my Chinese scores." Zheng Jian said carelessly.

Still have your own ideas?It was the first time Gong Yi heard such words describing his achievements.

"If you get good grades in tomorrow's exam, I heard that you can be admitted to University A. This year's new policy, but I don't know if it's allowed or not." Gong Yi told Zheng Jian what he knew.

The teacher on the stage happened to also introduce the game instructions.

The questions of the Hope Cup every year are really difficult, and each question is reserved for contestants for a long time to ensure that students have sufficient thinking.The entire competition will be held throughout the day, with 3 questions in the morning and 7 questions in the afternoon, with 42 points for each question, and a full score of 1 points.It is equivalent to one hour of answering time for one question.The difficulty of the questions is from easy to difficult from front to back.Medals are awarded in the following order: 12/2 gold medals for the first entrants, 12/3 silver medals, and 12/7 bronze medals.If a medal is not awarded, the contestant who answers a question with a perfect score will receive an honorable mention.Those who can score [-] points in one of the questions will receive an honorable mention.

"If all contestants win the gold medal, the total score of the college entrance examination will be increased by three points, and the silver and bronze medals will be decremented in turn. There are some new changes this year. If students who win the gold and silver medals can recommend several colleges and universities. The specific school situation is now up to the teachers Let me introduce. Let’s start with Teacher Liu from University A.”

"Hi everyone, I'm Teacher Liu from University A. Students who get good grades can be recommended to the mathematics department of our school. The specific number of recommended places does not conflict with the provinces."

Zheng Jian heard it, this is not a welcome meeting, this is a promotion meeting.

After listening to the self-recommendations from five colleges and universities, Zheng Jian felt that he understood.

"It's so boring to recommend it. You have to go to the designated department. It's the last word to get points based on your strength." Zheng Jian said boldly, "I'm here this time to get the gold medal and get 3 points."

Gong Yi glanced at his new friend next to him, "Mathematics is very interesting, but it's not what I want to study."

"What department do you want to study?"

"Medicine, haven't you figured it out yet?"

"If you want to study computer, maybe we will become classmates." Zheng Jian is now in the computer department of Amway.

Gong Yi was a little dumbfounded, the college entrance examination was still early, this guy started to think about the future.

But he still listened quietly.

After the "promotion meeting" is over, Gong Yi will go home first.

"See you tomorrow in the exam room!" Zheng Jian patted Gong Yi on the shoulder and said loudly.

The next day in the hotel conference room, the Hope Cup competition officially started.

150 students from middle schools across the country sat at their desks.

Zheng Jian was in the last row, and Gong Yi, whom he met yesterday, was diagonally opposite.

Gong Yi felt a sight behind him, and when he looked back, it turned out to be the cheerful black-skinned classmate he met yesterday.

The two looked at each other, and at this time the teacher on the stage announced the start of the competition.

Zheng Jian got the competition card.

The three questions in the morning are all algebra, so I guess in the afternoon it will be geometry.Obviously I am better at geometry.

Zheng Jian picked up a pen and started reviewing the questions.

Let S={1, 2, 3, ..., 280}, find the smallest natural number n, so that each n-element subset of S contains 5 pairwise prime numbers.

Zheng Jian drew a few strokes on the straw paper with a pen, and then began to answer.

Let Ai={all natural numbers divisible by i in S}, i=2, 3, 5, 7, record A=...

......

Then n=217.

Just 10 minutes later, Zheng Jian had already solved the first question.

Is it that easy this year?Zheng Jian looked up and looked around, and the rest of the students were all bowing their heads to answer.

The teacher invigilating next to him thought he had some doubts, so he just wanted to come over.

Zheng Jian scratched his head and started writing again.

The following two questions are somewhat difficult, and it took Zheng Jian some time to prove them.

call!Zheng Jian let out a long breath.

Mathematics is like this, if you know it, you will do it quickly, and if you are not given ten hours, you will not be able to do it.

Zheng Jian glanced at his answer sheet.No big problem, hand in the paper!

I drank too much porridge in the morning, and now I feel a little anxious.

Zheng Jian couldn't wait to raise his hand to signal the teacher.

The pre-examination teacher probably checked the paper and nodded in agreement with Zheng Jian to leave.

Zheng Jian quietly slipped away.

Teachers from various schools were waiting outside the meeting room.

Someone came out.

Zheng Jian's teacher saw that it was his student, so he rushed to meet him.

"How is it, is it difficult?"

"It's not difficult, it's a trivial matter." Zheng Jian replied nonchalantly, where the toilet is is more important now.

"Teacher is urgent, please leave for 10 minutes." Zheng Jian called to stop the teacher.

The young female teacher looked up and almost followed Zheng Jian into the men's bathroom.

Zheng Jian came back lightly after draining the water.

Unexpectedly, Gong Yi also handed in the paper.

"Just now he said the content of the first question. What's your answer?"

"217, it must be this number!" Zheng Jian was particularly confident.

"Same, same." The teacher's nervous expression relaxed.

"I'm going to buy lottery tickets in a while, just 217 is three numbers." Zheng Jian was a little flustered, and he said happily.

"I'm tired, what's for lunch?" Zheng Jian was a straight person, and he was hungry just a few minutes after going to the toilet.

The teacher thought about it, it would be better to have lunch earlier, otherwise the atmosphere would be very delicate if there were too many candidates.

"Let's go, today's lunch has changed. Let's go eat the first one, and you can sleep for a while after eating."

But Zheng Jian, who has no habit of taking a nap, turned around in bed, and finally took out his phone.

It's lunch break time, but there is no one online.

Zheng Jian, who had no one with him, "happily" lost a few rounds, and was so angry that he put his phone aside again.

Why haven't you started the exam yet!Still an easy exam!

The 3 geometry problems in the afternoon did not bother Zheng Jian.

He finished it happily and easily, seeing that there was still time left.He was not in a hurry to hand in the papers, and began to look at the contestants in the examination room.

Among the 150 contestants, there are 122 boys and 28 girls (Zheng Jian's eyes can only be judged by long hair).

Gong Yi and himself are the most handsome among the boys, and the most beautiful among the girls is...

Wait a minute, they are all from the back, so how do you see who is the prettiest?

You can't see anything just by looking at the hair and back.

Zheng Jian, who has always been energetic, is also a little tired after a day of high-intensity brain competition.

He lay on the table and planned to sleep for a while, it was too early, and the teacher outside the door would babble if he handed in the paper now.

Zheng Jian, who was afraid of trouble, planned to sleep for half an hour before handing in the paper.

The invigilator watched in astonishment as the candidates in the last row started to sleep.

Such a challenge to the dignity of the examination room?Just bullying the exam room and not being able to speak?It seems that he was the first to hand in the paper in the morning?

The invigilator walked slowly to the vicinity of Zheng Jian, intending to wake him up.

Walking nearby, Zheng Jian's examination paper was filled with the process of argumentation.

That's fine.

Mathematical Olympiad can either not write a single stroke, or can write two pages.

From this point of view, this student is very strong.Anyway, the last row doesn't disturb others, just sleep.

The teacher walked slowly, with maternal love in his eyes.

Sleeping in a daze, Zheng Jian raised his hand when he saw that it was almost time to hand in the paper.

Complete the task of the class teacher Lao Wang perfectly, hand in the paper!

"It's all right, this year's question is easy." Zheng Jian, who got into the elevator, yawned because he didn't get enough sleep just now.

"Then I'll take you out to play that night?" Hearing Zheng Jian's words, the teacher felt relieved.

"Let me sleep, and we'll talk about everything when I wake up." Zheng Jian replied listlessly.

After a good night's sleep, Zheng Jian woke up, and the lights were already on outside the window.

The night scene of City A, the next second, Zheng Jian had already put on his shoes and was about to go out.

He is a man of action, and he will leave when he says he will leave.

According to Gong Yi's instruction, Zheng Jian left the hotel gate.A few hundred meters later, I saw a big Mall in City A.

There should be special products from City A, right?

Before finding the supermarket, Zheng Jian became interested in the musical fountain in the center of the square.

Wow~wow~wow~

It turns out that the patterns of these fountains change according to the ups and downs of the music, and it looks really good with various lights at first glance.

He stood by himself smiling and admiring the fountain, calculating in his mind the height of the fountain in the next second.

But it always goes wrong.

By the time Zheng Jianjue felt the pattern, half an hour had passed.

The people next to them were all couples or couples with children, Zheng Jian felt a little boring.

He turned and left, walking about ten meters, cheers from the onlookers came from behind.

He turned his head and saw that the musical fountain shot up into the sky, forming dense mist and falling down.

In the misty atmosphere, Zheng Jian saw the billboard on the wall of the Mall.

Qin Dong in a suit and leather shoes sat on the sofa, holding his forehead with one hand and looking down upon everyone.

***

small theater:

Qin Dong smiled charmingly, is her husband handsome?

Wang Wang Wang, husband, you are the most handsome!But the photos I took are even more handsome!

Note: The topic of this section is actually derived from the third question of the 1991nd International Mathematical Olympiad in 32, which was issued by China.

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