From Almighty Scholar to Chief Scientist

Chapter 12 Unexpected System Rewards

How difficult is the sixth question of the IMO legend? In 1988, there were a total of 268 contestants from various countries participating in the IMO, but only 11 contestants got full marks on this question.

Among the eleven contestants was a later Fields Medal winner, Wu Baozhu.

Among the people who were stumped by this question, there were also some later well-known mathematicians, such as Tao Zhexuan, who got a full score of 1 on other questions, but only got [-] point on this question.

In addition, even the topic committee and the four number theory experts failed to solve this problem within the six-hour time limit.

It can be seen how difficult this question is, and therefore, it was deemed extremely difficult by the agenda committee and became the "Legendary Sixth Question" in IMO.

But what Ding Ping couldn't figure out was why this question was given here for this simulation paper?
Is this a blow to students' self-confidence?

Fortunately, he hasn't distributed this paper to the students in the training class yet.

But soon, he thought of Lin Xiao again.

After Lin Xiao went back, he probably had already written the third question, and started to work on the fourth question, right?
Can he do it?

Although he had seen Lin Xiao's talent today, Ding Ping did not have much hope for this famous and even legendary problem.

IMO generally does not ask such a difficult question. The question was originally created because of a little emotion of the person who made the question, so such a question was carefully designed to make it difficult for contestants from all over the world.

Moreover, such a difficult question also has great requirements on the level of the question maker.

Ding Ping shook his head, no longer thinking about it, he could only wait for tomorrow's training class to explain to Lin Xiao, so as not to affect his mentality in time.

……

Lin Xiao's house.

"...According to (1), a2 must be an integer;

According to (2), a2 cannot be 0;

Since a1≥b1, a2 must be less than a1
But since a1 is already the minimum solution of the equation, a2 should not be less than a1, because this is contradictory to what we say that a1+b1 is the minimum sum of the equation solutions...

So finally we can prove that (a+b)/(ab+1) is the square of some positive integer. 』

Certificate completed.

Lin Xiao couldn't help wiping off his sweat after writing the last two words with a stroke of ceremony.

"I was almost stumped by this question, but luckily I have a better skill."

With a sigh of relief, he was really stumped at the beginning, but fortunately, at the end he came up with a better logic, which is to use the method of proof by contradiction to prove that "there is no smallest, only smaller", and then it is considered Proof of completion.

He was quite impressed by his proof method.

"As expected of me."

Satisfied, he put down the paper and looked at the time. There was still half an hour left, but it took him more than 60 minutes to solve this question, far exceeding other questions.

Seeing that it took him so long, Lin Xiao couldn't help but frowned: "It took so long. If this kind of question is taken in the official competition, wouldn't there be no time?"

"Sure enough, I have to study more seriously. Some other math masters may be able to write this question in more than 30 minutes."

"However, it seems that it is still meaningful to participate in this training class. Otherwise, I don't even know that such a difficult question will be taken."

He completely ignored the source of the question marked after the question number of this question. After all, he usually does too many questions, so it is normal to ignore this mark.

If he knew that this question actually came from IMO, he probably wouldn't think so much.

However, at this moment, the sound of the system sounded again.

"The host successfully used an extremely brilliant method to solve a very difficult problem at the current stage. Rewards: +6 math experience, 5 hours of sage state, +1 truth point."

“提示：宿主的数学等级成功从0级升为1级，当前为：1级（1/50）。”

"Sage state: After turning on the sage state, the host's brain development level will be greatly improved."

Lin Xiao was taken aback for a moment, what the hell?

Experience directly added 6 points?
How could this question be so recognized by the system?

He was very surprised, because he thought this problem was just an ordinary league math problem, but it was a bit difficult, but after he solved it, the system directly rewarded him with six experience points, a little truth point, and even Five hours to go...

Uh, sage status?
Although I wanted to complain about the name, but after seeing its effect, Lin Xiao forgot the point of the name.

This reward is a bit powerful!
When the state is turned on, he can actually improve his brain development level, which means that if he turns on the sage state when he encounters a problem, he will have a greater chance to solve the problem.

"How much can this sage state improve my brain development?" He asked curiously.

"Depending on what the host's body can accept, it can increase by 50%."

Lin Xiao thought about it, "The increase is 50%, and my current development level is 2.7%, which is equivalent to 1.35% after opening."

This made him look forward to it. Before, he just increased by 0.5%, and he felt a rapid improvement. If it was directly increased by 1.35%, how strong would it be?

Einstein, or Newtonian?

Of course, maybe these two bigwigs have a higher degree of brain development.

He shook his head and didn't think about it anymore. He was probably still far away from these two big men.

At this time, he turned his attention to the mathematics after he was promoted to the next level.

Although he had upgraded, he didn't seem to feel any change in himself.

He couldn't help asking again: "System, what's the use of my math after upgrading?"

The system replied: "When each subject is upgraded to level 1, the brain development degree increases by 0.05%, and the current host's brain development degree is 2.75%."

Lin Xiao was stunned for a moment, and was immediately pleasantly surprised that the degree of brain development could be improved after the upgrade. Now he is quite aware of the benefits of increasing the degree of brain development.

As for why after this upgrade, he didn't feel the headache and dizziness he felt when he had increased by 0.5%, probably because the increase of 0.05% was too small, so he didn't feel burdened.

"In this way, if my other five subjects are also upgraded, wouldn't it be equivalent to a total increase of 0.3% in development? Then my brain development will reach 3%."

Thinking of this, Lin Xiao couldn't help but feel excited. Compared with the temporary improvement brought about by the status of a sage, this permanent improvement obviously made him more excited.

He quickly asked again: "Then when I upgrade to level 2 in a single subject, will my improvement be higher?"

System: "Please ask the host to upgrade a single subject to level 2 first."

The system didn't answer, which made Lin Xiao feel a little helpless. However, thinking that he could make himself stronger after studying, his motivation for learning was even more sufficient.

So I found the problem set of the math competition from my schoolbag, and then took out the pen and draft paper again.

"Sleep until 1 o'clock tonight!"

……

[The starting point of this book's first release, the new book period, please collect, please recommend tickets, please ask for monthly tickets, please follow up, please ask for investment, please ask for comments, all kinds of requests!Especially follow-up reading, follow-up reading is very important in the new book period, it is related to the previous recommendation, I hope everyone can support it!

4000 more the day before the launch, the better the score, the more outbreaks after the launch!
Thank you thank you]

(End of this chapter)