Chen Zhou glanced at his watch, the rhythm was good, and there was still some time to spare.

During the 30-minute discussion, he spent a total of 25 minutes reading the rest of the four sets of test papers, and knew it by heart.

Based on what he knew about everyone, as long as they listened carefully to their instructions, it would be fine.

Exams are sometimes a matter of impromptu performance.

Watching Yang Yiyi and the four of them return to their respective seats and sit down, Chen Zhou began to look at his test papers.

When the time was close to half past nine, the invigilator reminded me that no more discussions were allowed, and the group members of each team hurried back to their seats and prepared to answer the questions.

At 9:30 a.m., the written test for the group exam started on time.

With the password to start answering the question, Chen Zhou began to write.

Start with question 1 in order.

Although it was 5 answers out of 6 questions, Chen Zhou didn't take this request to heart after browsing all 6 questions.

Chen Zhou plans to do 5 questions in order and then finish.

Because he thinks that these 6 questions are all about the same, but some are just one question mark, and some are 2 or 3 question marks.

In other words, the difference between writing more points and formulas is just that.

Question 1 of the "Algebra and Number Theory" paper is an advanced algebra problem about Euclidean space.

[Let V=R^n be the Euclidean space and g be the orthogonal matrix acting on V.] When a∈V, there is an inverse function Sa(x) represented by Sa: =x-[2(x,a)/(a,a)]a,?? x∈V。 ]

The question stem is not long, but the useful information is complete.

After Chen Zhou finished reading the question again, he looked at the question (1.1) without pause.

[If a=(g-1)b≠0, prove ker(Sag-1)=ker(g-1)⊕Rb.] 】

After reading the question, Chen Zhou also began to answer without pause.

Starting from the relationship between orthogonal matrices and Euclidean space, Chen Zhou's thinking is very clear, and his writing is even more stable.

【...... Since Sa(x):=x-[2(x,a)/(a,a)]a,?? x∈V......】

【...... Therefore, ker(Sag-1) = ker(g-1)⊕Rb, it is proven. 】

Get a small question, 10 points to hand.

Chen Zhou then went on to prove the question (1.2).

Question 1 has two questions, each worth 10 points, for a total of 20 points.

The score of the 6 questions is exactly the same, and all of them are 20 points.

Choose 5 questions out of 100 points.

After Chen Zhou completed all the two small questions in question 1, he began to answer question 2.

There are a total of 4 questions in this question, each of which is worth 5 points, and the score is very average.

The question type is still algebra.

However, unlike Question 1, this question examines the content of the exchange group.

The stem of the question is longer than the others.

But how to say the difficulty of the question, Chen Zhou thinks that the longer the topic and the more information, the easier it is often.

Moreover, the four questions of the question are also related to each other, which provides a good boost for the solution of the whole question.

Question 3.

After reading the question, Chen Zhou smiled slightly in his heart, and finally came to the problem of algebraic integers.

Algebraic number theory is the study of algebraic integers and is an important branch of the number theory family.

Chen Zhou still remembers that when he was a freshman, the first thing he read was the basic textbook "Basic Number Theory".

So, he inevitably has some intimacy.

Moreover, the pearl of number theory, Goldbach's conjecture and China's love affair are also extraordinary.

This question, the question is very short.

Let ζ be the unit root satisfying the equation ζ=1+Nη (for integers N≥3 and algebraic integer η). Proof ζ = 1. 】

Chen Zhou picked up the pen, thought for a while, and began to answer the question.

Soon, Question 3 was solved.

This is followed by questions 4 and 5.

Question 4 is about finite groups.

Question 5 is about complex matrices and conjugate transformations.

Chen Zhou's train of thought was answered without the slightest barrier.

When he had completed the questions, he felt the same as when he first skimmed through them.

These questions will be more or less difficult for others, but for him who has already completed all the undergraduate courses in mathematics, there is no hindrance.

Even, just like he used to take the high school entrance examination in his freshman year, he didn't even use scratch paper.

The answer to each question, the steps of each question, when he finished reading the question, appeared very clearly in his mind.

He just took these answers and steps from calculating them in his mind to writing them down on the test paper.

Glancing at the paper full of calculations, Chen Zhou got up calmly and handed in the test paper in advance.

Everyone in the examination room focused their eyes on Chen Zhou for a moment, watching him walk out of classroom 1308.

Chen Zhou also calmly accepted the gaze of these people, he was the first person to hand in the papers with his strength.

However, what Chen Zhou didn't know was that he was not just the first person to hand in the exam room in classroom 1308.

At the Morningside Math Center, he was also the first to turn in the paper.

All the places in China where the Qiu Race team competition is being examined, whether it is Yanjing, Shanghai, Anhui, Suzhou, Taiwan, or other places.

Chen Zhou was the first to hand in the papers.

After walking out of classroom 1308, Chen Zhou was in no hurry to return to Yenching University.

After all, even if you don't wait for Zhao Qiqi and the others, Yang Yiyi has to wait.

In the examination room, Yang Yiyi was looking at his paper with half of the questions left, pursed her mouth, wrinkled her nose slightly, and muttered in her heart: "He's getting faster and faster now......"

Immediately, Yang Yiyi sped up the speed of her own problem solving and tried to catch up with Chen Zhou's footsteps.

Unlike Yang Yiyi, there were many candidates in the examination room, and they waited until Chen Zhou's figure completely disappeared at the door of classroom 1308 before they finally lowered their heads and continued to answer their questions.

It's just that these people were obviously affected by Chen Zhou's rhythm of answering questions.

They really wondered, why did they only do more than 3 questions, and Chen Zhou had already finished handing in the papers?

These people are mainly students from Yenching University who have not taken the exam in the same examination room as Chen Zhou.

They had only heard of the legend of Chen Zhou, but they had never experienced it personally.

But I didn't expect that this first and only feeling would make me feel bad.

It took a lot of time for these people to stabilize their emotions and regain their thoughts on the test papers.

But before they could continue to answer the question, another person stood up and went to hand in the paper in advance.

Inevitably, the men looked up again.

At this glance, they only felt that the person who handed in the paper in advance gave them more feelings than Chen Zhou.

Although she was the second to turn in the papers.

But she's a non-math major!

That's right, this person is Yang Yiyi.

After Yang Yiyi finished answering the last half of the remaining questions, she checked it twice more according to Chen Zhou's reminder.

Avoid ignoring the details of some steps, and omitting obvious problems.

After making sure that it was correct, she didn't want to waste time, so she got up and handed in the papers.

As Yang Yiyi's figure gradually approached the door of 1308's classroom, she finally disappeared into the door of 1308's classroom.

In the examination room of classroom 1308, most people's mentality was affected.

Originally, some people withstood the impact of Chen Zhou's early submission of papers, but in the end, they did not bear the impact of Yang Yiyi's early submission of papers again.

As Chen Zhou thought before, things like exams sometimes depend on on-the-spot performance.

There is no way, these people's ability to resist pressure is still a little worse, which affects the on-the-spot performance.

Outside the examination room, as soon as Chen Zhou saw Yang Yiyi coming out, he waved at her.

Yang Yiyi walked towards Chen Zhou suspiciously.

Chen Zhou was chatting with one of the people in charge of the Morningside Math Center.