Chapter 28 Is it really difficult for Chen Fan? (Ask for support, sixth change)

After the morning exam and the evening rest, Hua Xiong took a few team members and went to the restaurant for a simple meal.

Unfortunately, I met representatives from the Russian side.

“Hello, hello. 、”

“Hello, brother.”

Chen Fan was eating by himself, and the peach beside him was holding his mobile phone, and after taking a photo, he put down his mobile phone and accompanied him with peace of mind.

“This time, I guess you took the first place.”

Hua Xiong said: “It’s difficult, the topic has been changed, the official side has found a few Fields personnel, there are some problems, it is estimated that it is because this year is a lot of powerful.” ”

“Yes, there are ten people who simply get full marks, which is unimaginable in previous years.”

“Yes, if the test paper cannot distinguish the first, then the last exam will fail, and too many people will be punished.”

“This year’s fifty years of reincarnation, I didn’t expect it, came to your Huaxia, by the way, I heard that there is a young man named Jack, the last question, made three algorithms, seems to be very close to Chen Fan.”

Chen Fan finished eating the last noodles and squinted his eyes in satisfaction.

Actually, it’s good to enjoy life.

“Really? That’s really hard, compete for the first, see the final result, we’ll know tomorrow night. ”

One without words.

Everyone waited anxiously, and in the evening, fresh test papers fell in front of everyone’s eyes.

Chen Chong sat in the examination room, looking at the paper in his hand, to their level, the basic knowledge of the topic, a glance at it is absolutely good.

No, it doesn’t make any sense to see it many times.

And when the last question gave a terrifying variety of algorithm questions, Chen Chong knew that Chen Fan’s appearance had modified the rules of the exam.

The first three questions, Chen Chong quickly finished writing, the last three questions, Chen Chong glanced, good guy. , these guys combined, really good-looking.

But Nima’s, what are these?

We call an array P=(a,b,c) an Pythagorean array if a,b,c are positive integers and a^2+b^2=c^2. Given two Pythagorean arrays P,Q, it is proved that there are positive integers n and Pythagorean arrays P0, P1 ,…., Pn, satisfying P0=P, Pn=Q, and arrays Pi and Pi+1 have common elements.

This is the application of the Pythagorean theorem.

This should be relatively simple, but what does the proof behind mean?

element, is this a collection?

I leaned on, how can I get the Pythagorean number out, can this thing also play as a collection element?

Are they the devil?

After thinking for a while, Chen Chong found that his brain was blank, and after reading the next two questions, he made sure that he would not, and then handed in and left.

When Chen rushed out of the examination room, he found a boy standing outside the examination room.

A boy from the United States.

“You’re done?”

“That’s nature, it’s all done.”

A slap hit him directly on the head, and the teacher’s face was full of anger and said: “Tom, what are you thinking? No, will you write a solution”? ”

“Mind that, it’s almost over.”

“Are you trying to me off? I’m definitely going to talk to your father when I go back. ”

“Let me go, the next three questions, I won’t at all.”

“How hard can it be? The last three are new, and it certainly won’t be that difficult. ”

Then, Tom said the topic, and the professor was dumbfounded.

“Are the people on the math committee crazy? What is this doing? This is no longer a problem that these children can solve, it is beyond their understanding. ”

“Teacher, you also find it difficult, right, don’t you, you won’t.”

“I will, but you won’t be normal, and no one will actually make it, right?”

In the examination room, Jack and Chen Fan were in one examination room, and the two people sat side by side.

Maybe it’s a coincidence of fate.

There was also a boy in the room, a boy with an IQ of more than two hundred and fifty who had burst out before in Germany.

Three people in a room, even the invigilator was replaced.

Looking at the topic, Chen Fan fell into deep thought, it seemed, a little interesting.

For the first time, I encountered a difficult problem, which was not the same as the magic group, but the kind that was within their reach.

The difficulty of the Demon Group is world-class.

“Is it a series of problems than Big Godzilla? Good, finally got me a little interested. ”

“It’s really funny, slow like, pretty good, good.”

Chen Fan wrote quickly.

If there is a Pythagorean array P, Q, P contains a, Q contains b, PQ has common elements, first connect the vertices ab.

“And…”

“Prove that for any positive integer a≥3, a and positive integers less than or equal to a and greater than or equal to 3 are connected…”

“When considering a=k, in the Pythagorean array…”

“Let k=2r+1, since (2r+1,2r^2+2r,2r^2+2r+1) is a Pythagorean array, fixed..”

“As evidenced on the figure, k and 9 are connected, there are inherent positive integers n and Pythagorean arrays P0, P1,….,Pn, satisfying P0=P, Pn=Q, and arrays Pi and Pi+1 have common elements”

The topic itself is complex, but it is undeniable that this question is indeed difficult, and Chen Fan spent ten years.

But it also ends the question.

Turn the scroll and write the next question.

At this time, the other two children in the room were still writing, but the speed was a little slower than Chen Fan.

They took half an extra hour.

On the second side of the scroll, there were two questions left, and the three of them looked at it at the same time.

Chen Fan paused for five minutes, and the fifth question was written.

The two men paused for thirty minutes, and the fifth question ended the battle.

The last question, the moment he saw the topic, Chen Fan laughed unconsciously.

The professor in charge of proctoring looked at Chen Fan.

What is this kid laughing at?

Are all the top students like this?

“1356

1689568

……”

Please write at least two mathematical explanations, math wrong answers, zero points, all written answers are correct, and multiple points will be given as appropriate, please grasp it.

At this moment, the three knew that this was the limit.

The gap with Chen Fan only began at this time.

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