The training arrangements for the national team are not much different from those of the previous training team, except that the conditions of Zhao Xiancai and his team members are better than those at the Jiangning Branch of the High School Affiliated to Jinling Normal University, and the coaching lineup is also better than that of the previous training team.

luxury.

"Everyone has seen me in the training team before, so I won't introduce myself anymore..."

On the second day after Zhao Xiancai and the others arrived in Shanghai, the first lesson was that the leader of the national team, Yao Yijun, told them about their plans for the next period of time.

"...During this training, in addition to deputy team leader Li Qiusheng and two observers Leng Gangsong, Zhang Sihui will also come to give lectures one after another.

There will also be some expert professors from university mathematics majors, as well as some people who are very knowledgeable about the International Mathematical Olympiad Competition, who will also come to give lectures.

In addition, if you have any better solutions or ideas for some questions, you are also welcome to come on stage and tell other team members..."

After Yao Yijun chatted a lot, Zhao Xiancai and the others resumed their previous life in the training team.

However, the atmosphere here is not as oppressive as before in the training team, and the time schedule is more generous and not so tight than before.

The deputy team leader and the two observers mentioned by Yao Yijun earlier. Among them, the deputy team leader Li Qiusheng is a very famous teacher at the High School Affiliated to the Renmin University. He graduated from the School of Mathematics of Peking University. He can be regarded as a quasi-Beijing student like Zhao Xiancai and others who are preparing to enter the School of Mathematics at Peking University.

He is the senior fellow student of Da Mao.

When he was in the School of Mathematics at Peking University, he also served as the chairman of the student union.

Observer Leng Gangsong is a professor and doctoral supervisor in the Department of Mathematics at Shanghai University of Arts and Sciences. His research interests include extreme value problems in geometric analysis and convex body theory in banach spaces, integral geometry, discrete computational geometry, geometric inequalities, and geometry.

Tomography, etc.

Observer Zhang Sihui is a lecturer at the School of Science at Modu University of Technology and has also participated in mathematics competitions.

Although they are middle school teachers, university professors, and university lecturers, they have not been studying mathematics competitions for only a year or two, they have been studying for several years.

"I feel like the difficulty of the national team training questions this time is no different from when I was training the team before? Some questions are even easier than when I was training the team before."

After listening to lectures and doing some test questions at Modu Middle School for a few days, the six students from the national team started chatting in their free time. The one talking now was Gao Peicai.

As for Qi Ruilin, who never liked to take the initiative to talk, he is now getting along with Zhao Xiancai and the others, but he still talks less and only talks more when everyone talks about mathematics.

"It is indeed similar to the questions in the training team before, but the questions in the previous training team were not easy.

But I feel that some teachers sometimes go too deep when they are talking." Another classmate said.

Apparently, Zhao Xiancai and Gao Peicai were the only two people who thought the question was a bit too easy.

"Yes, I feel the same way. Maybe it's because most of the teachers who come to give us lectures are university mathematics professors, or at least university mathematics lecturers. So when they teach us competition questions

, they will also talk more or less divergently about some of their research fields.

Although I have also taught myself some college mathematics, I am far from finished with the content of my undergraduate degree, and some of what they taught me was confusing to me."

Zhao Xiancai also said.

"Fortunately, these are only a few cases, and after we responded, the teachers also noticed..."

…

And while Zhao Xiancai and the others were chatting here, the coaches were also chatting about their matters.

"The quality of this year's batch of students is very good. I feel they are the best quality batch in recent years."

Yao Yijun said to several coaches.

"The quality this year is really good. Zhou Wen and Gao Peicai are only in the first year of high school, right?

It’s very likely that next year’s national team will still have two of them!

However, the most surprising thing is Zhao Xiancai, who is considered the biggest dark horse this year.

His performance was very good when he was in the training team, and until now I haven't seen him fail at a question or make any mistakes."

After Yao Yijun finished speaking, the coach who spoke was a professor from the Department of Mathematics of Zhejiang University.

"Did Zhao Xiancai sign the contract? Or are you not planning to leave this year and will leave next year?"

"Signed, signed from Peking University Mathematics."

"Looking at their performance in the past two days, I feel that if they still follow the difficulty level of the previous two years, it seems to be a little easier for them. How about increasing the difficulty of the questions in the future?"

"Okay, it just so happens that we can try Zhao Xiancai and Gao Peicai's limits.

But it’s not that easy to find more difficult questions. I went to American Mathematics Monthly (amm) to look for them to see if there were any suitable questions.

If you find lemmas suitable for formulating questions in some papers, you can send them to me and I will sort them out for them to do."

…

In this way, while Zhao Xiancai and others were still dissatisfied that many of the national team's training questions were relatively simple, the national team's coaches had already begun to think of finding some more difficult questions for them.

A few days later, Yao Yijun finally came up with a few questions. He sorted them out that day and gave them to Zhao Xiancai and the others to work on the next morning.

After seeing the results of Zhao Xiancai's work in the afternoon, the coaches were very happy.

"This Zhao Xiancai is really ridiculously strong. Look at this question. Gao Peicai and Zhou Wen used geometric methods. Even the original papers used geometric methods, but this Zhao Xiancai actually used pure algebraic methods to complete the problem.

.

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For this question, he actually gave two solutions, both of which were simpler than the standard answer.

I have long heard that he likes to use the extra time during exams to write out the second solution to the questions. I didn't expect that he would still have time to do this when he encountered these difficult problems this time.

I didn’t expect that Wanhui would have a great man this year.”

One of the coaches said with emotion.

"Although Peking University has only signed two players from the national team this year, Zhao Xiancai can match two of them. After a few years, Peking University will have another talented person in the field of mathematics."

"Geniuses appear every year, but few can achieve amazing results in the end. Who can say for sure what will happen in the future? Let's see how he performs in the future."

…

The days of training were spent in this day-to-day cycle. On June 30, Zhao Xiancai and the others moved to Shuimu High School.

But they had only stayed at Shuimu High School for a few days before they were about to leave for South Africa.

Although the time in China is faster than that in South Africa, with a time difference of about six hours, there is no direct flight to Cape Town in China and can only be transferred in the middle.

Therefore, the national team set off a day early, and it took more than a day to finally arrive at Cape Town International Airport.

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