After school in the afternoon, Shen Qi carried a plastic bag of drinks to a small classroom in the laboratory building.

Counting Shen Qi, there are twelve students gathered in the classroom, they are the twelve with the strongest mathematical strength in Nangang No. 2 Middle School, from different grades and different classes, there are no girls, all are boys.

They are the Nangang No. 2 High School Mathematics Competition Team, which represents the top level of mathematics in the school.

It is not easy to be selected for this team, and those who have not scored a perfect score in mathematics are automatically disqualified from joining the team.

There are a total of 28 science classes in the first, second, and third years of high school, and Shen Qi is the only one in the second (2) class of high school who was selected for the school's mathematics competition team, and Zhang Wanbang gave Shen Qi a recommendation.

"Big guy, please have tea. ”

"Big guy, please have tea. ”

Shen Qi took out iced black tea, iced green tea, and lemon tea from the plastic bag, and handed tea to the other eleven team members one by one.

Shen Qi's father taught him that in the early stage of integrating into a new environment, no matter how awesome you are, you have to keep a low profile first, and secretly observe and figure out the situation before you start to show your strength.

In fact, Shen Qi knew that there was such a mysterious team in the school, and their assembly place was sometimes in the laboratory building, sometimes in the library, and there was no fixed place to live, and it was difficult to find a trace.

This morning, Zhang Wanbang informed Shen Qi that Shen Qi would report to the small classroom in the experimental building after school to prepare for this weekend's high school math league.

This is the first time that Shen Qi has met with the school's mathematics competition team, and when he first arrived, he handed over tea and observed secretly.

"How many classes have you had in a few years?" a fat man asked as he took Shen Qi's iced tea.

Shen Qi replied: "Class 2 of high school, Shen Qi." ”

"Oh, Shen Qi, a sophomore in high school. The fat man looked at the other students and asked them, "You are all sophomores in high school, are you familiar with Shen Qi?"

"Not familiar. Several of the boys in the second year of high school shook their heads.

Who has not scored a perfect score in mathematics, Shen Qi, who has sprung up in the past two months, used to be a scumbag, and it is normal for people to be unfamiliar with him.

Shen Qi maintained an embarrassed but polite smile: "I am a newcomer, please take care of me and my fellow disciples." ”

"Sit down, Shen Qi. The fat man asked Shen Qi to find a place to sit down, and then introduced himself: "My name is Meng Tianqiang, senior high school (5) class, I am the captain of this team, welcome to join, Shen Qi." ”

"Big guy, please drink another bottle of tea. Shen Qi took out a bottle of oolong tea from the bag and handed it to Meng Tianqiang.

"Don't drink it, don't drink it, lose weight. Meng Tianqiang waved his hand and didn't answer.

Shen Qi unscrewed the cap of the oolong tea and drank it himself.

The feeling that this team gave Shen Qi was that everyone did not reject him, nor did they show special enthusiasm.

Let's wait and see.

Since it's a competitive team, there will definitely be coaches.

Shen Qi found that the rest of his teammates were reading books and doing questions by themselves, and half an hour had passed, and the coach had not yet appeared.

Could it be that the training method of this math competition team is to concentrate on self-study?

Shen Qi didn't dare to ask more, and continued to observe secretly.

It was close to 7 o'clock when a person came in the small classroom, a little old man, thin and a little hunchbacked.

"Hello Mr. Cao!"

"Hello Mr. Cao!"

Meng Tianqiang and others greeted the little old man one after another.

"Hello Teacher Cao!" Shen Qi greeted, he didn't know this little old man, and it would not be wrong to call Teacher Cao later.

Although Cao Xin'an was old, his eyes were sharp, and he glanced at Shen Qi: "New here?"

"Well, my name is Shen Qi, a sophomore in high school, please give me more advice. Shen Qi guessed that this old man Cao was probably the coach of the team, and the small Zhang in his mouth should be Zhang Wanbang.

"Mathematics is a thing that relies on talent and understanding, and it teaches a fart. Cao Xinan said lukewarmly.

Shen Qi stopped talking, how could this old man Cao's coaching style be the same as Zhang Wanbang, Zhang Wanbang was brought out by old man Cao?

There was a small blackboard in front of the classroom, Cao Xinan walked to the blackboard, picked up the chalk and wrote down a question:

"Knowing that a is the only real root of f(x)=0 and that a > 0, prove that f(x) is divisible by (x-a) and that f(x) is divisible by (x+a) if a is an imaginary root. ”

After writing the question, Cao Xinan said to Shen Qi: "New student, give you 10 minutes to write the certification process, I smoke two cigarettes outside the classroom, if you haven't finished the certificate when I come in, then please go back where you came from." With that, he left and went to smoke outside the classroom.

Life is full of cards, and Mr. Cao is testing his math level. Shen Qi stood up and prepared to solve the problem.

"Shen Qi, we all experienced this kind of test when we first joined the team, and those who didn't have the strength would be eliminated. Meng Tianqiang said with a posture of a passer-by.

"I understand, thank you Captain Meng for reminding me. Shen Qi walked to the small blackboard, picked up the chalk but did not answer immediately, he fell into deep thought.

It's right to fall into contemplation, and of course Mr. Cao's question is difficult. Meng Tianqiang stared at Shen Qi's back, this new junior brother, you are good and clever, but unfortunately you don't have hard power.

"This question is too simple, our school's math team is at this level?" Shen Qi thought silently in his heart, shouldn't it, can't it, if Xiao Zhang (Zhang Wanbang) was brought out by Old Man Cao, with their style, they wouldn't come up with such a low test question, right? I want to strengthen the training of Chen Xiaoting for a period of time, and she can solve the problem in 10 minutes.

Pitfall.

This must be a trap.

Life is full of pitfalls.

The rivers and lakes are sinister.

Five minutes passed, Shen Qi did not write a mathematical symbol, he stood in front of the blackboard in a daze.

A few sophomores in the seats whispered, "He's from Class 2, right?"

"The overall mathematics level of Class 2 is average, a little stronger than Class 3, and Class 2 and Class 3 are taught by Mr. Zhang Wanbang Zhang. ”

"The top is not top-notch, Huang Zikun is the best math score in their class, but he can't get into the school team. ”

"This Shen Qi should have come out of Class 2 recently, I seem to have a little impression, he got a perfect score in math in the last midterm exam?"

"Who of us doesn't get a perfect score in math?"

The rest of the team members stopped the books and exercise books in their hands, and collectively watched Shen Qi, their suspicions of Shen Qi were deepening, how did this guy get into the team?

At this moment, Shen Qi suddenly wrote hard, brushed and brushed, chalk danced between his fingers, mathematical symbols danced dexterously, and combined into an offensive lineup according to a certain law, launching a fierce proof offensive against the assumptions on the blackboard.

Cao Xin'an's question is related to number theory.

Number theory is one of the branches of pure mathematics, dating back to the Diophantine equations of the ancient Greek period.

The Greek mathematician Diophantus is best known for his work on arithmetic, in which Fermat, the "king of amateur mathematics", wrote down a hypothesis in the margins of the book and stated: "This hypothesis must be true, and I could write the process of proof, but there are too few blanks in the book to write down." ”

This is the source of the famous "Fermat's Great Theorem" in the history of mathematics, and it was not until 1995 that Fermat's Great Theorem was proved by the British mathematician Wiles.

Qin Jiushao, one of the four great mathematicians of the Song Dynasty in China, also had a deep study of number theory, and the "Jiushao algorithm" recorded in high school mathematics textbooks came from Qin Jiushao.

The mathematician who is recognized in the mathematical community as the greatest contributor to number theory is Fermat.

Shen Qi was solving the problem in Fermat's way, which was the main reason why he didn't write after 5 minutes of contemplation.

Among the three great gods of Diofantu, Qin Jiushao, and Fermat, Shen Qi finally chose Fermat.

Before Cao Xin'an entered the classroom, Shen Qi completed the proof, then returned to his seat and sat down.

"In order to decompose x^2-1 into two linear factors, we ascertain first

x^2-1=(x+a)(x-a)

Multiply the term to the right of the equal sign

Then make the coefficients of the same power term on both sides of the equal sign equal ......"

The rest of the math team stared at the small blackboard with a demented face, speechless for a long time, what kind of thing did this newcomer write, I can't understand it!

Captain Meng Tianqiang is a senior in high school, after all, he is well-informed, and he is the first to understand Shen Qi's proof idea: "So Shen Qi, you did not use the Jiushao algorithm to prove, but introduced a new proof method, and the simplified proof process made me refreshed, and the finishing touch was to transform the same power coefficient equally." ”

Shen Qi explained: "It's not too new, this kind of proof has existed in France in the middle of the 17th century, and the Jiushao algorithm appeared in the Southern Song Dynasty in the 13th century, in fact, Qin Jiushao was involved in the study of number theory earlier than Fermat, 400 years earlier. Maybe Fermat has read Qin Jiushao's "Nine Chapters of Mathematics", from the perspective of mathematics itself, Fermat's theory is more incisive, and he certainly sees farther on the shoulders of giants. ”

"Hey, that's amazing, Shen Qi, you have already taught yourself Fermat's number theory. Meng Tianqiang was instantly impressed by Shen Qi, and he said to the sophomores: "Hey, you are all sophomores in high school, are you really not familiar with each other?"

"Once raw and twice ripe!"

"It's not ripe now. ”

"Class 2 has produced talents since ancient times, Shen Qi can, and he is a late bloomer. ”

"Shen Qi, after you join our team, there are exactly twelve of us, and all the Golden Saint Seiyas are in place!"

"Shen Qi, what zodiac sign do you have?"

Several sophomore boys immediately became acquainted with Shen Qi, like long-lost brothers.

"Brothers, let's play together in the future. Shen Qi's secret observation has come to a preliminary conclusion, in this group of people in the classroom, Meng Tianqiang's mathematics level is high, and the other ten people have a maximum mathematics level of 2, if they can be rated.

"What a noise!"

Suddenly, Cao Xin'an returned to the classroom.

The people were silent and did not speak.

Cao Xin'an came to the small blackboard, just glanced at it briefly, and had a judgment in his heart.

There was no change in his expression, Cao Xinan looked at Shen Qi and asked, "How old are you from your studies?"

Shen Qi thought for a while and said: "The books I read are quite miscellaneous, if you insist on comparison, I have learned this stage from the second year to the third year." ”

Knock knock.

Cao Xinan knocked on the blackboard: "Shen Qi, self-study college content is amazing? You remember for me, during the main competition of the Digital Federation, it is not allowed to use methods beyond the scope of high school textbook knowledge, which is equivalent to cheating." What bad habits did Zhang Wanbang teach you?"

"No, no, no, I created it, I created it. "Shen Qi definitely can't let his mentor Zhang Wanbang take the blame, and if he wants to carry it, the system will also take the blame.

"Be self-righteous, change it for me!" Cao Xin'an roared, and then left the classroom with his hands in his hands.

Shen Qi looked confused, Cao Xinan did not comment a word on his proof, scolded a few words and left, more hanged than Zhang Wanbang. Are math teachers like this?

"Teacher Cao's test, have I passed or not, should I go home or continue to stay?" Shen Qi asked Meng Tianqiang.

Meng Tianqiang said with a smile: "Of course you stay, Teacher Cao has said that when you are allowed to participate in the main competition of the Data Federation, you are not allowed to use university knowledge to solve problems." Congratulations to Shen Qi, on behalf of the strongest competition team in Nangang No. 2 Middle School, I would like to extend my warmest welcome to you!

Bang bang bang.

There was warm applause in the classroom, and all the team members officially accepted Shen Qi.

"Big guy, please have tea. A bespectacled freshman boy handed Shen Qi tea, lemon tea.

"I bought this tea. Shen Qi took the lemon tea.

"It's too late to buy new tea, but the sense of ritual must come out. Senior Brother Shen Qi, you have time to teach me the Fermat Number Theory. The first-year high school boy looked humbly asking for advice.