Xueba, I beg you to go and escort him quickly!

"Hey……!"

The helpless Zorro could only turn his target to Zhu Tiesen and Professor Wang.

"Professor Zhu! Professor Wang! To Xu Heng..."

Zhu Tiesen and Professor Wang glanced at each other and pretended to be deaf on the spot.

"What are you talking about? We can't hear you clearly! I'm sorry! When people get old, it's inevitable that their ears won't work!"

Zorro, "%￥##￥%%!"

Shet!

You were all fine before!

You did it on purpose!

you!Abroad!in my country!Bully me a local!

"You guys really hit it off with me!"

This guy is learning Chinese recently, but... it seems that he used the wrong idioms.

……

PS: Thanks to [5126617] [Waiwang] [BobLi22] for their support! .

Chapter 214

Today is the last day of the International Mathematical Olympiad exam!

Same as yesterday, there are only three questions in today's exam, and the score for each question is 7 points!

The time is also hours.

in the examination room.

Xu Heng looked around. His classmates from five other countries looked at Xu Heng like they were monsters.

Xu Heng, "???"

I'm weird?

Why are you looking at me like that!

How did he know that this group of students cried and mourned after returning from the exam yesterday!

Their leading professor is very concerned.

But after learning that someone handed in the paper within an hour!

Moreover, the one who handed in the paper was the No.1 in the preliminaries last time, that is, Xu Heng, who took less than an hour and scored 100 points in the test, they didn't know what to do.

They almost hypnotized themselves, making themselves think that Xu Heng must not have done well in the exam!

But even they don't believe it themselves!

Can a person who got full marks in the preliminaries do poorly in the official competition?

It's just that they couldn't believe that he finished the test within an hour!

After learning about this situation, the professors were stunned, and some even had weak legs and poor health.

In turn, let this group of classmates take care of them.

So, at this moment, when they look at Xu Heng, how can they act like a normal person?

Their hearts are bitter!

How did Xu Heng know this.

He just waited for the examiners to hand out the test papers.

But when he looked at the examiner, the meticulous and expressionless examiner smiled at him.

Xu Heng, "???"

and many more!

What's the matter with this beauty?

During the previous exam, the three examiners were as cold as stones.

Now the three examiners don't look right no matter how they look at themselves.

Xu Heng thought about it, something was wrong...

Although the examiners of this exam have changed, the last three cannot be due to personality reasons.

was thinking...

Xu Heng saw that the smiles on the faces of the three examiners disappeared when they were not looking at him.

Hey!

Could it be that they paid attention to me when I handed in the paper early last time?

Shouldn't it be...

If he handed in the papers ahead of time, Professor Zhu Tiesen and the others would just be shocked.

You have seen the big world, including the world's outstanding math geniuses, haven't you seen it?

was thinking.

The examiner began to distribute the test papers.

As soon as Xu Heng got the test paper, there was an examiner staring at Xu Heng.

One on one!

Xu Heng didn't take a pen either, he just checked and read the questions.

From this moment on, Xu Heng has already started to answer the questions.

The examiner had prepared beforehand, so his observation of Xu Heng was more nuanced.

When communicating with the three examiners in the previous session, they especially emphasized that Xu Heng started answering the questions as soon as the test bell rang.

Before again, they didn't notice how Xu Heng read and reviewed the questions.

This time, they were mentally prepared and specially arranged for an examiner to stare at Xu Heng.

That is this beauty.

She looked at Xu Heng meticulously.

She thought that Xu Heng would move his finger on the paper, and she probably knew it in her heart.

But unexpectedly, after Xu Heng read the question, he looked at the question as if an old monk had fallen into a trance, and did not move at all.

She is very strange.

Is it possible to give the answer just by thinking about it?

impossible!

Absolutely impossible!

This is a Mathematical Olympiad contest question!

Not to mention that it was impossible for her to do this kind of thing when she was in school, even if she has been in the field of mathematics for five or six years now, she dare not underestimate the Olympiad competition questions.

"Ring Ling Ling..."

As the bell rings.

Xu Heng picked up the pen.

The fourth question:

The reverse Pascal's triangle is a regular triangular matrix composed of numbers, satisfying that except for the bottom row, each number is the absolute value of the difference between the two adjacent numbers below it.

For example, below is a four-row Inverse Pascal's Triangle consisting of the numbers 1 through 10.

4

2, 6

5, 7, 1

8-3-10

请问是否存在2018行的反帕斯卡三角形，包含1到1+2+…+2018所有的整数？

Xu Heng still came with a pen:

Let the numbers in the n-row villain's ska triangle be...

Let a1=b1 be the only number in the first line, recursively define...

Then there is a(i-1)=ai-bi.For n=2018 in the title, the inverse Pascal triangle of the fixed fixed number range {1,2,...,n(n+1)/2} has:

an=bn+b(n-1)+...+b2+b1

Considering that bi, i=1,..., n are different from each other, and the specified range an≤n(n+1)/2, we know that there must be

an=n(n+1)/2, {bi, i=1,...,n}={1,2,...,n}

If Mi and mi are respectively the largest number and the smallest number in the i-th row, we know that...

……

It can be seen that the equal sign must be established, combined with the previous estimation, there are...

……

Definition: Sn={1,2,…,n}, Bn={n(n+1)/2-j,j+0,1,n}

Sn is the smallest n number, and Bn is the largest n+1 number. It is known that each row has a number in Sn (ie bi).

If the kth row (k<n) has two numbers in Bn, for example,...

……

Assuming that the minimum i in Mi∈Bn is p, then the first p-1...

According to the range of the number in Bn and the estimated formula of Mp, we can get...

n=2018 is brought into the final formula, and the left and right sides are contradictory.

There is no n=2018 row, the villain Scaly triangle formed by {1,2,…,n(n+1)/2}.

The first question is done.

Xu Heng turned the page directly.

The difficulty of this question is that you have to keep making assumptions, one assumption is covered by another assumption.

It looks like a nesting doll!

Xu Heng methodically proved it step by step.

The female examiner who had been staring at Xu Heng was very surprised!

She looked at Xu Heng's answer!

Although she couldn't understand what Xu Heng wrote, she felt very comfortable watching it!

Looking at Xu Heng's Chinese characters, she didn't feel that they were words at all, but more like works of art!

Every word, in her eyes, became a work of art!

At this moment, because of Xu Heng, she became very interested in Chinese characters!

From the bottom of her heart, she felt that the words written by Xu Heng were much more beautiful and beautiful than those letters!

Just as she was surprised, Xu Heng had already turned to the second page, and answered the question in the blank space of the second question.

That's the answer...

It's different from last time!

When Xu Heng was answering the second question yesterday, he even read the question and paused!