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

But I never expected that he would wake up now!

Could it be that the desk for the exam is uncomfortable to sleep on?

amount……

etc!This is not something we examiners should care about, okay?

What we are most concerned about is, what will he do next?

Finally...is it time to hand in the paper?

They saw Xu Heng looking down at the test paper, and said nothing.

The three of them looked at each other, all looking at Xu Heng.

But Xu Heng's real thought at this time was disappointment, he was very disappointed with the paper group of the Mathematical Olympiad.

He thought that the second day's questions would be much more difficult than the first day, but he thought too much...

Since disappointed...

"Hey……"

Sighing, Xu Heng drew a horizontal line at the end of the test paper.

After a little thought, he wrote on it in English.

Determine all positive integers n so that one of the letters I, M, and O can be filled in each small square of an n*n grid table, and the following conditions are met:

In each row and column exactly one-third of the cells are filled with the letter I, one-third of the cells are filled with the letter M, and one-third of the cells are filled with the letter O; and On each diagonal, if the number of small squares on the diagonal is a multiple of three, then exactly one third of the small squares will be filled with the letter I, and one third of the small squares will be filled with the letter I. Fill in the letter M, and fill in the letter O in one-third of the small squares.

Note: The rows and columns of an n*n grid table are labeled 1 to n in natural order.Thus each small square corresponds to a positive integer pair (i, J), where 1≤i, j≤n.For n>1, this grid table has two categories with a total of 4n-2 diagonals.

A diagonal line of the first type is composed of all small squares (i, j) where i+j is a certain constant, and a diagonal line of the second type is composed of all small squares (i, j) where ij is a certain constant. j) composition.

The three examiners looked over with their heads stretched out.

The five candidates also frowned, "???"

what's the situation!

This guy fell asleep and got up again to answer the question?

It's too confident!

What if I fell asleep?

Where did he get his confidence from?

These people decided that Xu Heng continued to answer the questions!

Or, check out that there is an error in the solution process that you wrote yourself.

But in the eyes of these three examiners, it was extremely shocking.

At first, they didn't understand what Xu Heng was doing!

But after writing all the questions...

"I buy it!"

The female examiner really couldn't hold back and screamed.

Right in the examination room!

This is absolutely not allowed for the very rigorous Mathematical Olympiad examination room!

The female examiner immediately covered her mouth, her eyes widened. The other two examiners also gasped, and then glared at the female examiner.

The female examiner's scalp was numb, and then she shook her head immediately.

"!!!"

After Xu Heng finished writing this question, he finally packed his things and got up to leave.

He left lightly again!

Only this test paper is left!

One of the three examiners immediately left the examination room and went to the place where the mobile phone was kept. He wanted to call Forch.

And this time!

From the very beginning, Xilf and Oulos, who had been waiting for Xu Heng to come out ahead of schedule with Zhu Tiesen and the others, were troubled by their beauty.

From the beginning, they waited enthusiastically, then gradually became expressionless, then frowned, and finally, they began to pace and restless.

Forch used to check the time every ten minutes, but now, he looks down every few seconds.

once!

twice!

three times!

……

Already lost count how many times!

Forch and Oulos looked at Zhu Tiesen and Professor Wang.

"Professor Zhu..."

Zhu Tiesen's scalp was numb, and he immediately curled his lips and said, "Professor Forch! Professor Oros! You have asked us countless times! We really don't know!"

"Besides...the entire exam is an hour, so Xu Heng came out on time, isn't it normal?"

"It's only been less than two hours, why are you so anxious to become ants on a hot pot?"

Forch was speechless, "This..."

He looked at Oulos, who shrugged, "It seems... that's true!"

"Hey……!"

Forch sighed with some resentment.

At the same time, Zhu Tiesen and Professor Wang breathed a sigh of relief.

As long as Xu Heng's performance doesn't meet their expectations, it's fine...

Forch and Oros have come to them today!

If Xu Heng behaved a little better, would it be okay?

Aren't they going to follow Xu Heng every step of the way?

While they were discussing, Xu Heng came out.

"It's him! He's out!"

"As expected, he handed in the paper ahead of time!"

"Professor Oulos! Although student Xu Heng is a little later than before, he still handed in the paper ahead of time! Isn't it?"

"Look! Only two hours!"

"Professor Oulos, look, two hours! He completed today's three questions in two hours!"

Forch was very excited, he was more excited than Zhu Tiesen and Professor Wang.

Oulos also gasped.

Yes!

Although it took two hours to come out, it was less than half of the exam time.

Looking at Xu Heng, Oulos is eager to see through.

After a long wait, he finally came out!

Zhu Tiesen and Professor Wang's heart skipped a beat!

Still came out early!

"hiss……!"

Professors from other countries stared straight at it!

They have led the team so many times, but they have never seen a professor from Oxford University wait for someone in person!

Not only the professors from Oxford University, but even the Fields Mathematics Medal winners are here!

He also paid too much attention to Xu Heng!

Depend on! ! !

And today, after waiting, the two of them didn't leave an inch!

Waited for two hours!

"hiss……!"

It would be enviable to anyone.

Even the professors leading the team from their own country looked aggrieved, "Professor Oulos, you are a nobleman!!!"

At the same time, this also let the professors from the five countries understand that someone really handed in the paper within an hour yesterday, and the score must be very high!

Even if it is not a full score, it must be 19, or 20!

But take a step back and think about it, if you really scored 19 or 20 points within an hour, wouldn't it be enough to have one Forch?

Why is even the winner of the Fields Medal here?

The more they thought about it, the more they felt that Xu Heng got full marks within an hour!

Otherwise, Xu Heng would never have attracted such high attention.

Looking at Xu Heng, their eyes were complicated.

Everyone was wondering why Xu Heng was not a student from their country!

"Hey……!"

As Xu Heng stepped forward, everyone surrounded him.

"Student Xu Heng!"

Professor Zhu Tiesen, "Xu Heng..."

Xu Heng was also stunned, and frowned in confusion, "???"

"Professor Zhu, who are they! They came to see me?"

The professors from the five countries were speechless.

This is a professor at Oxford University and a winner of the Fields Medal!

What is your attitude, kid!

Only then did Zhu Tiesen remember to introduce these two.

Xu Heng's first reaction was, "It's fake! The Fields Medal winner will come to me? Stop messing around! Professor Zhu..."

They are talking in Chinese.

Zhu Tiesen's face darkened instantly.

So is Professor Wang.

Zhu Tiesen lowered his voice and kept winking at Xu Heng, "It's true! It's true! Do yourself a favor! Xu Heng! This is really the winner of the Fields Medal! Professor Oulos!"

Xu Heng curled his lips, poked his head, and asked in doubt, "Really?"

Zhu Tiesen, "Really! Really!"

Forch and Oulos looked at Xu Heng from the left and Zhu Tiesen from the right, their gazes wandered between the two, their faces were bewildered.

What are they talking about?

???

PS: Thank you [tail number 5238] for your support!

There will be updates later!Kneel for all support! .