A few days after being awarded a doctorate by Princeton University and hired as a full professor with an annual salary of one million US dollars, Zhao Xiancai got on a plane and flew back to the capital of China.

"Thank you for your hard work. The school has already made arrangements for your parents. They can arrive in the capital today."

The person who came to pick up Zhao Xiancai at the airport this time was Yang Gang, who had been promoted to vice president of Peking University.

"It's not hard work. I didn't bring anything back. If it's hard work, it's all hard work on your part. I told you not to pick me up, yet you came here to pick me up."

After seeing Vice Principal Yang and hearing what he said, Zhao Xiancai said the same thing.

"We'll talk as we go, but there's no rush for the graduation ceremony and degree awarding ceremony.

We saw that you had been on a flight for such a long time when you came here, so we didn’t arrange anything for you today, but for tomorrow..."

Yang Gang just walked with Zhao Xiancai and started chatting with Zhao Xiancai.

After asking about Zhao Xiancai's affairs in the United States for a while, Yang Gang suddenly told Zhao Xiancai about the Chinese Mathematical Society and this year's Chinese Mathematical Olympiad national training team.

“This year, the first phase of training for our domestic Mathematical Olympiad national training team will be from March 4 to March 19, and will be held at the Qingpu Branch of the High School Affiliated to Fudan University in Shanghai.

The second stage is held from March 20th to 28th at the High School Affiliated to Fudan University in Shanghai.

Do you have time to go and take a look at that time, so as to miss the time when you participated in high school mathematics competitions?"

Yang Gang finally asked Zhao Xiancai with a smile.

"March?

I don’t plan to stay here for too long when I come back this time, I will definitely no longer be here by then.”

After Zhao Xiancai heard what Yang Gang said, he guessed that he wanted him to serve as a teacher for this year's National Mathematical Olympiad training team for one day.

After all, he himself participated in mathematics competitions and has rich experience in this field.

In addition, coupled with his current achievements and talent in mathematics, it is indeed possible to bring something different to these students participating in the training camp.

If Zhao Xiancai had time, he would really like to take a look and experience what it was like to change from a student who participated in the national training team three years ago to a teacher who trains students on the national training team.

However, if Zhao Xiancai had not finished visiting mathematicians around the world in March, he was probably not in China at that time.

If Zhao Xiancai had finished visiting mathematicians around the world in March, then he would have probably started studying Goldbach's conjecture in retreat by then.

That's why Zhao Xiancai said that he didn't have time in March.

"That's true, you have to prepare to study Goldbach's conjecture later.

The reputation of Goldbach's conjecture is much greater than those you have studied before, whether it is Erdez's arithmetic sequence conjecture or the twin prime number conjecture.

If you can really solve Goldbach's conjecture, I'm afraid no one can shake your mathematical status in the country...

I’ve said a bit too much, I wanted to say something else.”

As Yang Gang talked, he came up with Goldbach's conjecture, but soon he turned the topic back to this year's Chinese Mathematical Olympiad national training team.

"Actually, when I mentioned the National Mathematical Olympiad Training Team to you this time, I didn't want you to be their teacher for a day, but I wanted you to give you a few questions.

Alas, I don’t know if you are still paying attention to the International Mathematical Olympiad and China’s results in IMO in recent years.

In 2014, the year you participated, all six of our team members won gold medals, and two or three of them even received perfect scores and won the first place in the team.

But since your year, the team champions in 2015 and 2016 have been the United States, and the country now really wants to win the team championship again.

So they thought of you. When you were still in high school, you were already capable of answering math questions like that.

Not only was I the dean of the School of Mathematics at Peking University, but I was also very familiar with you. I was also the vice-chairman of the Chinese Mathematical Society, so the domestic Mathematical Olympiad committee committee asked me if they could discuss it with you.

I want you to give some questions to the students in this year’s training team.”

Yang Gang said to Zhao Xiancai again. This time after saying a lot of words, he finally told the reason why he mentioned the mathematics training team.

The math test questions that Zhao Xiancai submitted when he participated in the math competition have been published in the past two years, and they were even included in the guidance books for those math competitions. Therefore, many students who entered the training team have done what Zhao Xiancai did.

Question.

Therefore, it will be difficult for this year's training team to come up with the test questions that Zhao Xiancai gave before.

"It turns out it's because of this matter. There's nothing wrong with the question, but..."

After listening to what Yang Gang said, Zhao Xiancai seemed to have thought of something happy and said with a smile.

He was thinking of Zhang Qiuyu once telling him when he was still at Beijing University that the students who participated in the training team in 2015 were all tortured terribly by the test questions he asked.

Now Yang Gang came to him again to give questions to this new batch of students. Zhao Xiancai felt a little amused when he thought of this year's batch of students who participated in the training team "wailing everywhere".

"But what?"

Hearing what Zhao Xiancai said, it would be a good idea to ask him to give the question, and Yang Gang was also a little happy.

But after hearing the "but" behind Zhao Xiancai, he quickly asked.

"However, I heard that the few questions I submitted when I participated in the math training team and the national team tortured the students who participated in the math competition in those two years.

And didn’t they also do the questions I asked in the past two years?

In the past two years, our country, China, still failed to win the team championship, so I feel that if we raise the issue again, it will definitely not be much better, and we may even get scolded by them."

Zhao Xiancai explained with a smile.

"No, if the questions you ask are college entrance examination questions, if they are too difficult, a large number of students may indeed criticize them.

But the test questions you are giving are for mathematics competitions. As long as they don’t exceed the syllabus, no one will criticize them no matter how difficult they are. After all, it is normal for you not to be able to solve the questions for mathematics competitions.

Don't worry, you won't be scolded. After all, you have participated in the competition yourself and know it.

As for the effect, it doesn’t matter. Questions are asked anyway, and at least the questions you give are better than those of us.”

Yang Gang thought Zhao Xiancai had something going on, and after hearing about such a trivial matter, he said the same thing.

"In that case, let me give it a try. How many questions do you need me to ask?" Zhao Xiancai asked,

Zhao Xiancai really didn't have much confidence in producing test questions that were of higher quality than the mathematics test questions he had received from the system before.

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