All-round mathematician

Chapter 1 Gauss Possession
In the mathematics class, the mathematics teacher Chen Changyi was spitting and explaining the topic.Looking down, many students were a little drowsy.

Chen Changyi knew that not long after the start of school, some students hadn't kept their minds from the happy life during the summer vacation.

I'm already in the third year of high school, and you guys don't know how to be serious.Although the weather in September is warm and it happens to be in the afternoon, it is indeed easy to fall asleep, but are these reasons for not listening to the lecture?

Ah, who is that.It's called Yang Fan.Is it plausible that the whole person is lying on the table?Do you still take my teacher's majesty seriously?
Alright, it's up to you, Chen Changyi's eyes lit up, and he decided to use a model to frighten these disobedient students.

A piece of chalk drew a graceful arc and hit Yang Fan's head.The students turned their eyes with the chalk and smiled.

Yang Fan felt something hit his head, scratched his head in a daze, and continued to sleep.

Chen Changyi breathed fire in his heart, his face remained calm, and he approached pretending to be enthusiastic: "Student Yang Fan, are you meditating?"

The classmate behind him kicked his stool and shook it a few times, but before he could respond, he slapped his butt hard.

Yang Fan felt the pain, his buttocks jerked and he woke up.There was a burst of laughter in class.

"Classmate Yang Fan, did you hear what I said?" Chen Changyi knocked on the table.

"Oh, that Teacher Chen. Of course I know." Yang Fan immediately asked his deskmate Lin Yuwei for help, wanting to hear what the teacher asked just now.

The girl was expressionless and gave her a blank stare.

Yang Fan, who had no prompt, was a little dazed, quietly thinking about how to answer.

Suddenly, a voice shouted in my mind: The master system was activated, sensing the host's thirst for knowledge, the master system came into being.

what?Does anyone speak?
"The master system exists in quantum form and communicates through thoughts. Earth's technology still needs 400 years."

This... this... what is going on, is it true or not.

"The teacher asked you if you already know how to do the questions on the blackboard." Chen Changyi said.

"Teacher, I..." There were laughing faces, especially Qi Yueshu, the lover of my dreams, who really couldn't say what I couldn't do.

"The system is activated for the first time, and you can experience the soul possession of all masters from ancient times to the present for one hour. Please choose the host."

While urging hastily, while there is an opportunity in front of him, Yang Fan doesn't care about other things, his brain burns instantly, recalling the great mathematicians who appeared in history, whoever he is, can it be more embarrassing than it is now?

"I choose the mathematician Gauss." Yang Fan said silently in his heart.

"The choice is complete, and the mathematician Gauss possesses him for an hour." Maybe it was just a moment, or maybe it was an eternity. When Yang Fan woke up again, countless memories suddenly appeared in his mind.

"Mr. Chen, I can answer this question." At this time, Yang Fan was possessed by Gauss.Can you still stump him with just a little mathematics in high school?

He calmly walked up to the podium, picked up the chalk, and without any hesitation, amidst the whispers of his classmates and under Chen Changyi's incredulous gaze, he solved it in one go in less than 30 seconds.

Throwing away the chalk casually, Yang Fan said, "Teacher, what's the matter, is the answer correct?"

Chen Changyi was in a daze for a long time, and the students in the audience were also in a daze. Could it be that this guy is really listening to the lecture, but just pretending to be sleeping, studying secretly and pretending not to be serious is the most annoying guy.

After erasing the questions and answers, Yang Fan kept his hands on and posed a question on the blackboard:
The function f is defined on the set of positive integers: f(1) = 1; f(3) = 3; and for each positive integer n, f(2n) = f(n), f(4n + 1) = 2f( 2n + 1) - f(n).Try to determine the number of positive integer n that is less than or equal to 1988 and satisfies f(n)= n.

"I accidentally saw this topic in a certain book. I was practicing it in my mind just now, and I was a little distracted. Now that I have found some clues, the teacher and classmates will help to look at it together."

Yang Fan put his hands on his chest, calmly waiting for a group of people to answer.

The students looked at each other, this was tit for tat.Regardless, let’s give it a try and see if you can do it yourself.

The classroom was quiet, except for the rustling of paper and pens.

Chen Changyi thought for more than ten minutes, but he had no idea, and a drop of cold sweat dripped from his forehead.

Yang Fan felt that he had done enough, picked up the chalk, brushed it a few times, and solved the problem neatly.In the audience, the top-notch students just had some ideas, and they all stared at Yang Fan with wide-eyed eyes.

Bell... bell... the sound of the end of get out of class just rang, Chen Changyi breathed a sigh of relief, picked up the handout, and said, "There is no time, get out of class is over." After speaking, he left in a hurry. A sharp-eyed classmate looked at his back, seeming a little embarrassed.

Yang Fan smiled faintly, and quietly walked to his seat and sat down under a series of curious thoughts.The eyes of Lin Yuwei and Yang Fan, who were at the same table, collided, and there was a slight dodge, and there was an inexplicable light.

Yang Fan, who was not surprised by humiliation, was very shocked at this time.

I pinched my face, it hurt a little.And the memory in my mind is more sure that these are not illusory. At this time, any math problem is just a matter of time in my mind.

For the rest of the courses, Yang Fan was a little out of his mind.An hour passed, and the clever head was beaten back to its original shape.

How could he, who had tasted the sweetness, endure such a gap.It's just that it's really not suitable for research at school. After school is over at five o'clock, he is the first to run out of the classroom and go home, even ignoring the calls of his buddies.

(End of this chapter)