The top student must be diligent.

Chapter 4: The sluggish Liu Bin

As a hardworking student who studies for 14.4 hours every day, Xiao Yi has developed the habit of thinking about problems in his mind even when eating or walking.

Of course, for him, this way of learning in his mind is just a means of renewing his BUFF, and it is not as beneficial as reading books directly or solving practical problems.

After all, the purpose of his learning is to gain more knowledge. As for renewing the buff, it is just a matter of convenience.

So, when he was halfway there, he suddenly saw a math problem written on a small blackboard, which was of course very attractive to him.

It’s like you come across a wild experience pack on the way, why don’t you pick it up?
and……

This wild experience pack is of pretty good quality.

"Hmm... the difficulty of the questions in the first two days was quite good. They were the most difficult questions I have encountered after studying for so long."

As he walked towards the small blackboard, Xiao Yi was thinking in his heart.

Before, he had always been doing the papers handed out by the teachers, or the exercise books, as well as the questions in the reference books such as the Five-Three that he bought himself. However, none of those questions could stump him, and they even made him feel very bored.

As a result, the day before yesterday after lunch, when he passed by here, he took a look and saw a math problem here. Then he was surprised to find that the problem was the kind he had never done before and it was quite difficult!

It took him three full minutes to come up with a solution!

This made him excited; it was obviously much more interesting than those questions in the exercise book that could be solved in less than half a minute.

"Yesterday's questions were a little harder than the questions from the day before yesterday. It took me almost 5 minutes to finish them. I wonder if today's questions will be even harder."

Thinking of this, Xiao Yi began to feel impatient in his heart.

He quickened his pace, walked quickly to the small blackboard, and looked at the questions on it.

[Find all positive integers n such that there exists P(x)∈Z[x], satisfying that for any positive integer m, p^(m)(1), p^(m)(2), …, p^(m)(n) divided by n has exactly n/2m different remainders, where p^(m) represents the mth iteration of p. ]

When Xiao Yi saw this question, his eyebrows raised.

“Hey… this question seems…”

Very interesting?
First of all, in terms of difficulty, Xiao Yi can be sure that it is many levels more difficult than the questions in the previous two days.

In terms of question type, this question is completely different, and it is also a question he has never done before.

Including the information given in the question stem, it is also quite niche in math books and basically belongs to the type that rarely appears.

For example, there is the symbol "x" for rounding up, and there is also the term for iteration.

At least...as a sophomore in high school, he had never learned these things in class.

Thinking that this was the senior year department, he couldn't help but sigh in his heart: "It turns out that the seniors in the senior year have to face questions of this level."

He is truly worthy of being a strong man at the third year high school level!
I am about to face the college entrance examination, and the questions are so challenging.

For a moment, he couldn't help but look forward to his senior year in high school. How happy that would be if he could do such questions every day!

Xiao Yi: (▽).

After being happy for a moment, he quickly stopped thinking about it and looked at the question seriously.

Although he had basically never learned this knowledge in class, it had all appeared in the dozen or so math books he had read.

Therefore, he could fully understand the meaning of this question.

Then, he began to think seriously about how to solve this problem.

A brainstorming session was quietly unfolding in his mind, and the effect from the tenth level of [Ruthless Link] began to take effect at this moment.

However, these "storms" are naturally invisible to others.

……

At the same time, on the other side of the corridor. "Is it this student?"

Liu Bin squinted his eyes and stared closely at the student who appeared in front of the small blackboard through the reflective lenses.

Next to him, Chen Liang was also looking at this student, and at the same time, he was recalling in his mind whether there was any student in their entire senior year who had particularly good math grades and could match this student's.

But unfortunately, he didn't remember it.

"I don't know, let's wait and see, he looks like a sophomore."

But Liu Bin walked over directly at this time, "Let's go over and take a look."

Chen Liang held Liu Bin back and said, "Let's take a look first. If it's not this student, the real student might not come over after seeing us there."

Liu Bin thought about it, then nodded: "That's true."

Returning to his original position, he crossed his arms with one hand and held his chin with the other, saying, "If it is really this student, I am curious about how long it will take him to solve this problem."

Chen Liang said, "I remember you said this question is harder than the previous two days' questions combined. Maybe this student is stumped by it?"

Liu Bin smiled: "That's a possibility."

"This is a difficult question that I carefully selected. You should know it's the IMO preliminary question, right?"

Chen Liang nodded and said, "I know. Every year, the question-setting groups of the Mathematical Olympiad competitions in various countries will send some questions to the International Mathematical Olympiad Organizing Committee. Then the Organizing Committee will select some questions from these questions as preliminary questions, which will be used as training questions for the participating students of various countries next year."

"Yes." Liu Bin nodded. "And this question is the most difficult one among the IMO preliminary questions this year. It can even be ranked at the top in the history of IMO. It is much more difficult than those questions selected as the official IMO questions."

"To put it simply, this question was not selected as an official question because it was too difficult."

Chen Liang's eyes widened immediately: "So outrageous?"

"It's just so outrageous." Liu Bin nodded, then raised his eyebrows: "So, this student may not be able to do it. Even if he can do it, I estimate it will take at least half an hour... an hour is not impossible."

Chen Liang nodded.

However, at this moment, something even more outrageous happened. They saw the student standing in front of the small blackboard picked up the chalk next to it and started writing on it.

The word "解" at the beginning made them recognize him immediately. This student must be the mysterious student from two days ago!

Liu Bin no longer hesitated and walked straight over, and Chen Liang quickly followed.

And behind them, other senior high school teachers followed.

After all, who wouldn't be curious about this mysterious student?

In this way, they walked over in a mighty manner.

However, since the place where they were standing was some distance away from the small blackboard, almost an entire corridor, it would take some time to walk there.

As they walked over, they watched the student fluently write out the steps to solve the problem line by line.

There wasn't even any pause in the middle of the process.

Finally, they walked to the blackboard.

At this point, the student had already completed the solution process and wrote a period to indicate the end.

Liu Bin watched the solution process, his eyes froze.

……

Please collect and recommend my new book!


(End of this chapter)