All-round mathematician

In Wuzhou High School, there are one primary school and three primary schools, each of which is Wuzhou No. [-] Middle School.Some older people have always referred to Wuzhou No. [-] Middle School as Wuzhou Middle School.The middle school directly represented by the local area shows its strength.

The three primary schools are the attached middle school, the experimental middle school, and the first middle school.

At this moment, in the amphitheater of Wuzhou High School, bursts of enthusiastic applause spread throughout the middle school.

"Hum." There was a disdainful sneer from the right side, Yang Fan turned his gaze, and saw a student wearing a peaked cap, with short hair, his face was covered in the shadow and he couldn't see clearly.

However, the snort just now let Yang Fan know that this is a girl.

A pair of bright eyes looked back in an instant, and the delicate face was hidden in the shadow of the hat, following the lights.

Yang Fan was about to take a closer look, but unexpectedly, the girl said rudely: "Why, kid, you have thoughts about me."

"Hehe, I'm just curious." Yang Fan pinched the bridge of his nose to hide his embarrassment.This classmate is also a wonderful person.

The girl looked Yang Fan up and down, turned her gaze back to Feng Yao, and said softly: "It seems that you will be brainwashed by Feng Yao too."

It's okay for this woman not to speak, but speaking really makes people feel very ignorant.Wearing a peaked cap in the classroom, and secretly hiding in the back row, there must be a secret.

"I think Teacher Feng is not bad, don't talk nonsense." Yang Fan said.

"You know what a fart. Don't blame me for not reminding you when you get hit later. How could a person like him be a pioneer who dedicated himself to the cause of education? He just wanted to increase the base of top students studying mathematics so that he could Pick some better people to be students."

The girl's voice is still pleasant to the ear, but the content of the words is really a bit shocking.Just as Yang Fan was about to refute, Feng Yao started writing again on the stage, so Yang Fan closed his mouth and waited for the follow-up.

There were four blackboards up and down. Before the students had time to write down, Feng Yao wiped them clean one by one, and said: "I have also drank the poisonous chicken soup. Now let's talk about the business. I said before the class started that I came to find There are more than 100 students here, and I don’t have so much time. So, I have to choose.”

He wrote 12345679 on the blackboard, and said, "This number, you can answer it whatever you want, and the time is 10 minutes."

Under the stage, the students took out pens and paper and calculated everything.Is this number the same as the 142857 just now, with certain rules?

Under the multiplication test, there is no result, and the division seems to be completely random numbers.Addition and subtraction don't seem to get satisfactory results.

Yang Fan put down his pen and felt a headache, as if he didn't find the key point.

"Should I tell you, please beg me." The woman next to her seemed to have known the answer a long time ago, she raised her head proudly, waiting for others to praise her.

"Don't communicate, don't talk. The answer is not the only one. As long as you find some plausible rules or a wonderful way of writing, I will approve it. I want to see your aura, not the answer."

Feng Yao discovered that some students were secretly correcting the answers, it was really a mess.This is just a number, not a question, so there is no standard answer.

Through the light, Yang Fan found that there seemed to be several repeated numbers on the white paper in front of the girl.He froze for a moment, a flash of light flashed in his mind.

Think for a moment and write on a piece of paper:

12345679 9 × = 111111111

12345679 18 × = 222222222

12345679 27 × = 333333333

……

How can I recall such a complicated calculation method? It seems that I have never come into contact with it.There are oddities.

Yang Fan recalled whether he had read similar questions in the book recently, searched his memory, but did not get the answer.So, part of Gauss's memory that day affected the brain?Yang Fan was a little uncertain.

"It's time, I'll come down now, you show the answer, I'll take a look."

Feng Yao walked through the aisles, most of the students' answers were just glanced over, and there were very few who were pleasing to the eye, and he would call their names and ask them to stand up first.

Yang Fan sat in the last few rows, saw that he still had a while to arrive, and then looked down at the numbers, whether there is another way.Your own solution is not necessarily the most interesting, there may be omissions.

With that, Yang Fan continued:

12345679×243=2999999997.

12345679 108 × = 1333333332

12345679 117 × = 1444444443

……

"Hey, boy, I said the time is up, why are you still rushing to work? Do you think that spiritual energy can be obtained with time? The stupid bird flies first is just to fool ordinary people."

Before Yang Fan finished writing, a piece of paper was taken away by Feng Yao. He glanced at it, and his face changed drastically: "Young man, what class are you in? Why haven't I seen it before?"

"Grade Three, Class Three."

Feng Yao looked at the answer for a while, then looked at Yang Fan again, frowned and said, "Young man, what's your name?"

All the students in the classroom looked over at this change.For the previous questions, it seems that Feng Yao didn't even ask for his name.What kind of amazing answer did this student write that Teacher Feng valued so much.

"Yang Fan from class three and three."

"Young man, how did you come up with the second set of numbers?" Feng Yao asked again.

"It feels similar to the first group, so I wrote it." Yang Fan replied honestly.

Feng Yao nodded self-righteously, and said again: "Young man, you are already in the third year of high school. I have never heard of your name before, how was your math performance?"

Under the expectant and eager eyes of the other party, Yang Fan felt a little embarrassed, and said: "Science subjects are all average, and liberal arts subjects are even worse."

"Sure enough, the exam-oriented education has turned all the good seedlings into trash. You stand here first, and I'll talk to you when it's over."

Feng Yao nodded happily to Yang Fan, and continued to read the answers of other students.

When he walked past the girl beside him, he just passed by without even looking at the answer.No one noticed this little detail.

As soon as he stood up, it showed the difference.

Now standing on the ground, there are only three people in total.One is Ye Haoran, a classmate of Yang Fan who is a genius in science, and everyone knows him well.

The other is more famous in the third grade of high school, the overlord Cui Qiming.In the exams every time, the first in the grade, No.2, at least [-] points.The more difficult the topic, the bigger the score will be.Everyone took turns sitting in the second grade, only the first, never changed, this is really extremely abnormal.

Those who were sitting were naturally eliminated, and they murmured among themselves, among which Yang Fan was the one who talked the most.who is he?Why never heard of it.

Feng Yao then singled out two more people, one male and one female. Yang Fan felt that they were very unfamiliar. From other people's discussions, he learned that the girl was a sophomore in high school and the other boy was a freshman in high school.In this way, there were only five people standing in total.

Feng Yao walked back to the podium, with a happy expression on his face, and said, "This year is very lucky, and five people passed the test. The students who participated last year may remember that I didn't want any of them. So, this year is a good year."

"Mr. Feng, you chose too casually, we are not convinced."

"That's right, Mr. Feng, there's even a freshman in high school. The freshman has only been in class for a month. How can he participate in the Mathematical Olympiad?"

"Even in the third year of high school, not everyone is a top student. Teacher Feng is too messy."

……

When it comes to the third year of high school, it is self-evident who everyone is targeting.Two of them are academic masters, and the other is Yang Fan. It's pure luck.

Feng Yao's eyes turned cold, and he said: "You useless people, you can't blame others for their good performance, the school teaches you this. Alright, since you don't accept it, let me tell you why.

12345679-1 12345678 =

12345679-2 12345677 =

……

Look, what a spark of genius, soul leaping.Which mentally handicapped person thought of this, but he can use subtraction, which is amazing.High school students broke through the sky and the earth with subtraction.There are other profound laws, so I won't name them one by one. I can't teach this kind of genius. "

"Then what did the five of them write?"

"You said it yourself, let us think about it casually, and there is no fixed answer."

"Yes, I said that there is no fixed answer, so I choose people based on my mood. What do you think of me? But if you say this, you will definitely be even more dissatisfied.

12345679 9 × = 111111111

12345679 18 × = 222222222

……

Here, there is a fixed name called pro-one color.Are you dumbfounded? "

"Mr. Feng, the time you gave is too short, I can think of it right away."

"If you weren't misled, this answer would be very common."

"Teacher, my math score is not worse than that of the standing five people, why can't I do it?"

Feng Yao was slightly annoyed, only a waste material thinks that people can be recognized by language, a genius can only do but not speak.

His face darkened, and he continued in the same tone: "It can be said that here, four students stand out. The other student, Yang Fan, surprised me even more. He gave two Answer. Another answer:

12345679×243=2999999997.

12345679 108 × = 1333333332

……

Is it normal to look at it and tell you that the addition of the answer numbers is another kind of intimacy in disguise.The aura and flash in it, I can say with certainty, once in a hundred years. "

As soon as this answer came out, there was instant silence on and off the stage. No matter who it was, they would never have thought that there would be such a weird answer.How did he come up with this rule in his head?

Is this the comprehension of mathematics that Mr. Feng said?It seems that it is really not enough.

Countless inquiries, doubts, and envious eyes looked at that figure, and he just stood quietly in the back row, calm and elegant.