A genius? I just love studying.

Chapter 70 What’s the difference between this and doing it in the street?

An Chengzhang, who was walking in a hurry, suddenly stopped.

He was not a fool. Zhao Defeng's attitude became too strange, just because he mentioned the name of Dadi Internet Cafe.

It's very obvious. Could it be that this Dadi Internet Cafe is opened by Principal Wu?
Thinking of this, he, who was originally prepared to make this Internet cafe pay for it, slowed down his pace slightly and his thoughts began to become clearer.

There is no need to worry about how to deal with the Internet cafe, but now, he has to rescue Chen Hui from this quagmire first.

After finishing the call, Zhao Defeng did not make any more calls, but went straight to Wu Huachun's office on the fifth floor.

"Old Wu, I just got the news that Chen Hui went to the Dadi Internet Cafe."

Wu Huachun, who was drinking tea, froze.

Everyone understands what going to an Internet cafe means. For good students, going to an Internet cafe is no different from having an incurable disease.

Fortunately, it was discovered early and might have been saved.

But there was no need for Zhao Defeng to report such things to him. He understood the purpose of Zhao Defeng's coming, because Dadi Internet Cafe was opened by his nephew.

"Go and bring the person back first."

Putting down his teacup, Wu Huachun stood up and said, "Internet cafes these days are really outrageous. They even dare to admit minors."

As he spoke, he walked out of the office first and headed towards the old commercial street outside the school.

Of course he knew where Dadi Internet Cafe was.

Zhao Defeng naturally followed closely behind.

……

Dadi Internet Cafe,

A young girl with glacier-blue hair tips sat in front of Unit 67. Suddenly, she nudged the ponytailed girl next to her across the gray screen and said, suppressing a smile, "Xiaotang, look at the one in front."

Lin Xiaotang's hands kept moving, aiming and shooting, and he took out the counter-terrorist who appeared from the door cleanly and neatly. Then he quickly turned his head and looked in the direction Xia Mi pointed. In just a few tenths of a second, his sight returned to the game screen again.

With just a quick glance, she had already recorded all the information in her mind.

A handsome boy is studying in an Internet cafe!

The textbook was placed on the keyboard, and the boy was still writing and drawing on it with a pen in his hand. He looked so serious that if you didn't know, you would think this was a study room.

It's quite weird!
"It's really funny. This guy actually came to the Internet cafe to study."

Xia Mi stopped playing games and stared in the direction of Chen Hui. After all, she was in the same team with Lin Xiaotang, so she would not lose even if she just slacked off the whole time.

"Tell me, is he trying to get your attention in this way?"

The more Xia Mi thought about it, the more it made sense. She was very confident in Lin Xiaotang's beauty, and that guy happened to be sitting opposite Lin Xiaotang. How could such a coincidence happen in the world?

Lin Xiaotang did not answer. In just the past ten seconds, she had already gotten three kills again. She killed all the gods and Buddhas that stood in her way, and no one was able to match her.

She was more interested in the gun than the person studying in front of her. It wasn't just them; many people in the internet cafe had noticed that weirdo. In an internet cafe, being good at gaming might not attract much attention, but if you were studying here, you'd definitely be the center of attention.

Nowadays, if you want to learn, you can learn anywhere.

But in the Internet cafe, it’s okay for you to look up information on the computer, but you also take out your textbooks to study. What’s the difference between this and shitting in the street?
Chen Hui didn't know what everyone thought of him. After studying for more than half an hour, he closed his textbooks, put them into his schoolbag, then took out a piece of draft paper from his schoolbag and placed it in front of the keyboard, closed his eyes and rested.

He takes the upcoming exam very seriously!

At 8 o'clock, the countdown on the web page ended. Chen Hui opened his eyes, moved the mouse, clicked the OK button, and entered the question-answering interface.

There are seven questions in total in the preliminary round of the Barbaria Mathematical Competition. The first and second questions are multiple-choice questions, with a total of 20 points. Question 3 is a proof question, 20 points. Question 4 is a proof and solution question, 20 points. Question 5 is an solution question, 20 points. Question 6 is an solution question, 20 points. Question 7 is 20 points. The full score is 120 points.

After taking an overview of the questions and having a general idea in mind, Chen Hui carefully read the title of the first question.

Several students formed a group to travel to a city during the holiday. The city has 6 towers, and their locations are A, B, C, D, E, and F. After the students moved around freely for a while, each student found that they could only see the four towers at A, B, C, and D, but not the towers at E and F. Given:
The students' positions and the tower's positions are considered points on the same plane, and these points do not overlap. Any three points among A, B, C, D, E, and F are not collinear. The only reason a student cannot see the tower is because their view is blocked by another tower. For example, if a student's position P is collinear with A and B, and A is on line segment PB, then that student cannot see the tower at B.

How many students can there be in this travel group at most?
A 3
B. 4
c. 6
D. 12】

"Hmm? Is it that simple?"

The moment he saw the question, Chen Hui already had the answer in his mind.

This is a very simple question of spatial geometry and logical reasoning, and its difficulty is not even as high as that of the questions in the provincial high school competition.

It is known that there are six points on the plane where any three points are not collinear. What is required is actually how many points can be found on this plane whose lines with E and F intersect at some points among A, B, C, and D.

This problem only needs to be simplified a little bit, using mathematical language to describe the known conditions and the required results. Once you realize this and think about it in reverse, connecting E and F to ABCD, there will be six lines. There are as many points required in the question as there are intersections of these six lines outside.

Without even drawing a picture on scratch paper, Chen Hui had already figured out the answer: 6!

But since this was a $30,000 prize at stake, Chen Hui cautiously spent another two minutes drawing on a piece of scratch paper. The final result was still 6, so he chose C for the first question.

Even so, it only took less than five minutes, and I got 10 points!
Chen Hui couldn't help but feel a little dazed.

But he quickly collected himself.

After all, this is a competition for the general public, so it is understandable that there are a few easy questions that are easy to score.

The second question is very long, but the general meaning is that Xiao Ming is playing a plane shooting game, but the probability of successfully shooting down the plane will become smaller and smaller, and the probability of the opponent shooting you down will become larger and larger, and at the same time, your own score will continue to decrease, so obviously, the longer you play this game, the lower your score will definitely be.

Therefore, you need to exit the game at some point to ensure your maximum benefit.

So he asked:
1. If Xiao Ming's previous points are retained after being shot down in the game, then in order to maximize the mathematical expectation of the accumulated points at the end of the game, after which enemy plane should Xiao Ming actively end the game?
A.1
B.2
C.3
D.4
2. Suppose that in the game, if Xiao Ming is shot down, his previously accumulated points will be reset to zero. To maximize the mathematical expectation of accumulated points, when should Xiao Ming choose to actively end the game?

A.2
B.4
C.6
D.8
This question examines probability theory and random processes. You only need to note that the process of the plane appearing is a Poisson process. You only need to know that the interval between each two points in the Poisson process is an independent exponential distribution, then this problem can be solved.

You just need to calculate at each moment whether it is more profitable to stay and continue playing or to end the game. You only need to calculate some simple probability inequalities.

In less than ten minutes, Chen Hui figured out the answers: B and A.

(End of this chapter)