Because he asked for two more answer sheets and later handed them back intact, the brown-haired teacher Arnold was very impressed by Qin Ke, a Xiaguo candidate. Of course, what he was most curious about and shocked about was Qin Ke’s performance on DAY 1 yesterday.

On the answer sheet, all the questions seemed to have five different solutions, and each solution did not exceed ten lines.

Today, he passed by Qin Ke from time to time while inspecting the exam, and found that this Xia Guo candidate was different from yesterday. He did not waste time in a daze. After the official bell rang for the exam, he picked up his pen and kept writing.

Not even a second of pause.

Arnold is a mathematics lecturer at the University of Oslo. He has experienced countless examinations, large and small, and has met countless candidates, but he has never seen a candidate who can write answers continuously when answering questions.

Especially the DAY2 Mathematical Olympiad questions this time were very difficult. After handing out the papers, he took a rough look at the questions and judged that he could barely solve three of them using his university knowledge, but whether he could solve them smoothly in the end still had to be solved.

Only when I took a pen and tried it myself did I know.

As for the two most difficult questions, he had no idea at the moment.

Is this student writing blindly or can he really do it?

This made Arnold a little more curious about Qin Ke.

At this time, seeing Qin Ke raising a sign asking for help, Arnold, who had been paying attention to him, immediately rushed over, causing his colleagues to look at him strangely.

Only then did Arnold realize that he had taken his colleague's job because he was impatient, so he had to smile apologetically at his colleague, and then went over to ask Qin Ke: "What help do you need?"

"Teacher, I want to hand in my paper." Qin Ke whispered, unpacking the biscuits and started eating.

One thing to say, the biscuits prepared by this IMO organizing committee are really good. Qin Ke took note of the brand and packaging, and planned to go to the supermarket to buy some and take them home as souvenirs after handing in the papers.

My classmates, teachers, and family members wanted to try it. By the way, I also had to buy some more specialties for my own Xiaobaicai as souvenirs.

"Hand in the paper?" Arnold was startled by Qin Ke's words. He looked up at the time and saw that the exam had not started for an hour.

Even last year’s IMO champion Hill, the talented student from the American team who handed in his paper the earliest yesterday, took almost four hours to hand in his paper!

He couldn't help but glance at Qin Ke's answer sheet. Damn it, it was full again, and the answers to each question were divided into five columns with vertical lines. Five solutions or proof methods were used in all!

The muscles on Arnold's face twitched, and he finally came to his senses: "Wait a moment."

He had to run back to the workbench to get the sealed bag, because no one had ever handed in the paper in such a short time, and he didn't have the sealed bag in his hand.

The colleague who had invigilated the exam earlier caught up and asked in a low voice: "What's wrong? Arnold, you're in a panic."

Arnold swallowed and lowered his voice: "That Xia Guo examinee has to hand in his paper."

The colleague shook his head and sighed: "Abandoning the exam so soon? This candidate is really..."

"It didn't look like he had given up on the exam, he seemed to have finished it, and he seemed to have used five different methods to solve each question."

"Five ways? In such a short time? Which question?"

"What I just said is every question."

Colleagues were dumbfounded: "Every question?...Are you kidding me?"

Arnold shrugged and gave the sealed bag to his colleague: "Why don't you go collect the rolls and see for yourself."

"What happened?" But it was Cassel, the leader of the invigilation team, who saw the two of them talking in low voices and came over to ask about the situation.

"Team Leader Kassel, Arnold said that there is a candidate who has to submit a paper. This candidate has completed all the questions and used five methods for each question..."

Cassel was stunned: "Which candidate?"

Arnold secretly pointed at Qin Ke: "Xia Guo examinee over there."

Cassel briefly recalled: "Are they the candidates from Xia who asked for two extra answer sheets yesterday? The candidates from that ancient country?"

"Yes, but he didn't use the two answer sheets later, which was very strange. Today his answers only filled up one answer sheet. Although he used five solutions to each question, each solution was different.

More than ten lines, very concise.”

Cassel was very curious, so he took the sealed bag and said, "I'll go take a look."

"I'll go too," my colleague said hurriedly.

Because too many people were looking for one candidate to have a negative impact, Arnold stayed behind and continued to supervise the entire exam, while Cassell and the other two went over to collect the papers.

Qin Ke was a little surprised to see two new invigilators, but he didn't care. He just nodded politely and continued eating chocolate. Cassel asked: "Young man, do you want to hand in your paper?"

Qin Ke was rude while eating, so he nodded and handed over the answer sheet.

Cassel took it and read it over. Good guy, as Arnold said, he had finished all five questions, and all five solutions were used!

After a few cursory glances, eh? He has never seen the five solutions to the first threshold question. It doesn't look like it was written blindly.

Cassell suppressed his surprise and nodded: "Okay, you can leave." He looked at Qin Ke's name again before putting Qin Ke's answer sheet, test paper and draft into a sealed bag.

, suddenly noticed that the draft paper was blank, not a single word was written.

This student...didn't he use scratch paper?

Qin Ke thanked him and took everything away.

Hill had been concentrating on doing the questions and didn't notice the movement on Qin Ke's side, but he could still feel Qin Ke walking by him. He couldn't help but look up in surprise and saw Qin Ke's back walking towards the door of the examination room.

He subconsciously turned back and glanced at Qin Ke's position, where Cassel was sealing the sealed bag.

QIN is this...finished and handed in?

He looked at the clock hanging in front of him and saw that only 57 minutes had passed since the exam started.

Looking at the second question he had just started, Hill was a little confused. Is this how you impress me?

Liang Shaoping was one of the many candidates who noticed that Qin Ke handed in his papers early and left. However, unlike others who were surprised and confused, Liang Shaoping just gave a thumbs up and sighed in his heart that Teacher Qin is really amazing!

He had no doubt at all whether Qin Ke had completed all the papers. Was there any need to ask?

He took another look at the first threshold question he had just solved, feeling a sense of admiration and accomplishment in his heart.

In the past, when I read martial arts novels, it was said that the Yitian Sword and the Dragon-Slaying Knife cut iron like mud, and it was very cool to fight. Now, although it was not "so cool" for him to start the problem, he used the "Qin Ke" teaching yesterday.

"Zhi Ning Qingyun"'s method of solving Mathematical Olympiad problems was indeed like getting the Yitian Sword and Dragon Slaying Knife, helping him solve this problem that he could never solve originally!

Come on! Try to solve three questions!

Liang Shaoping secretly encouraged himself and continued to write hard.

…

IMO papers were graded starting from the night after DAY2 ended. A judging panel composed of more than 60 mathematicians and university professors from all over the world stayed up late to carry out this marking work.

The chairman of this year's IMO, the leader of the judging panel, and a famous figure in mathematics who is over sixty years old, Jeff Roland, personally sat in and participated in the review work.

Because the IMO results release is on the second night after the exam, nearly 1,400 papers must be marked before then.

Normally, the review work will be relatively quiet. Only occasionally will an outstanding paper be seen, which will attract a small amount of attention and discussion. However, this time there is a hint of weirdness in the review work. Every judge who opens the sealed paper looks anxious and expectant.

Hope, it's like a lottery draw.

Every time they opened a paper, the first thing they looked at was the name. Then they sighed and started marking with some disappointment.

John, a graduate student from the University of Oslo who had just been temporarily transferred to help, and was responsible for refilling coffee for the big guys, couldn't help but curiously asked a middle-aged judge who was drinking coffee: "Teacher, are you looking for something?"

The middle-aged judge took a sip of coffee and said: "A 'ghost story' that started circulating in the afternoon said that there was a Xiaguo candidate named 'QIN KE' who used five different solutions to both papers, and there was no answer.

It seems like it was written blindly. Ha, isn’t this nonsense? Xia Guo’s Mathematical Olympiad level has almost fallen to the third rate, how could such a genius appear?”

John couldn't help but laugh after hearing this: "You remind me of a joke. One person said that there were tigers in the zoo. But after the word spread to three people, it turned out that someone saw the tiger and was eaten by the tiger."

Another old judge handed over the coffee cup and said with a smile: "The person who said this was the invigilator team leader and the invigilators in the second examination room. I heard it with my own ears, not through the 'three people'

, and it is said that each solution does not exceed ten lines, which is very concise. To be honest, I am still a little curious and want to see how well this paper is done."

John refilled the coffee for the old judge: "Can a question have five solutions? There is only one standard answer, right?"

The middle-aged judge who spoke first interjected: "The five solutions are not completely impossible, but the probability is very low. To be able to think of two solutions in such a limited time is a rare genius..."

Suddenly I heard someone say in surprise: "Hey, the light of God has come to me, I got that 'magic paper'! I looked at the name column, 'QIN KE', yes, it is the two people in the rumor.

One portion! This is the answer sheet for DAY1!"

With a "crash", the judges put down the papers they were reviewing and gathered around. The old judges next to John, as well as the middle-aged judges who had said they didn't believe it before, all ran over, faster than a rabbit.

John: "..."

Can trust between people only go so far?

The judge previously shouted: "Gentlemen, don't grab it, wait for me to take a look first, this is the mission assigned to me by God!"

Probably because he moved God, he finally made the curious judges move away. However, the first few judges who rushed towards him did not leave. They just stood behind him and watched him review.

"Hey, it turns out that there are five solutions to each question! Each solution does not exceed ten lines, and the shortest one is only five lines!"

"It's very neatly written, it really doesn't look like it was written randomly."

"Let me take a look at the first threshold question. The first solution... hmm? What kind of weird solution is this? It uses Lagrangian... No, this is the difference method... My God, he obviously didn't use Lagrangian...

How can we deduce this result from Granger's mean value theorem? I want to take a closer look..."

"I understand, he is using the derivation thinking of Lagrange's mean value theorem, not directly quoting Lagrange's mean value theorem, but also using high school knowledge!"

"Is this okay? It's interesting."

"I think the second solution is even more novel in perspective. I read it three times before I understood his thinking in solving the problem. He used the idea of ​​deriving Gauss's wonderful theorem. Isn't this too clever?"

"I have read through the five solutions to the first threshold question. None of them are the same as the standard answers, and none of them are conventional solutions, but they are all correct! Amazing, this candidate has a profound understanding of college mathematics.
To be continued...