Super Scholar: Start with a low regulatory score!

Chapter 170 No, no, why don't you guys understand?
"Problem: A hunter and an invisible rabbit play a game on the Euclidean plane.

It is known that the starting position A0 of the rabbit coincides with the starting position B0 of the hunter.After n-1 rounds of the game, the rabbit is at point An-1, and the hunter is at point Bn-1. In the nth round, the following three things happen in sequence...

(1) The rabbit moves to a point An in an invisible way, so that the distance between point An-1 and point An is exactly 1.

(2) A positioning device feeds back a point Pn to the hunter. The only thing this device can guarantee to the hunter is that the distance between the point Pn and the point An is at most 1.

(3) The hunter moves to a point Bn in a visible way, so that the distance between point Bn-1 and point Bn is exactly 1.

Ask: No matter how the rabbit moves, and no matter what points the positioning device feeds back, the hunter can always choose her movement appropriately, so that after 10^9 rounds, she can ensure that the distance between her and the rabbit is at most 100? "

"..."

This is the finale of the three rounds.

It's also an interesting question.

of course!

Just interesting.

As for the difficulty...

For Jiangnan, there is no difficulty at all.

It's so easy!

"This question is very simple, isn't it?"

"As long as you have a certain understanding of common sense thinking, equivalent thinking and extreme thinking, it is easy to get..."

"1: Allow this stealth rabbit to bless the membrane method and manipulate the detector."

"2: Affected by 1, hunters may have biased judgment in certain situations."

"The equivalent formulation here allows to create some possible situations that are not favorable to the hunter and see how the hunter and the invisible rabbit respond."

"It's worth saying here, don't interpret this question as a rabbit has a winning strategy, because no matter whether it's a hunter or an invisible membrane rabbit, there is no winning strategy..."

"..."

Jiang Nan spoke very quickly.

It is not an exaggeration to describe it in one go.

however……

When he finished his thoughts and looked down at the people below, he only saw 29 dazed faces?
Jiangnan: "..."

"I'm done talking."

"You don't understand, do you?"

"No way? Really no way? Don't you all understand such a simple question?"

"Fuck, you really don't understand?

"This, this, this...you are too stupid, aren't you?"

"Haven't you all advanced to the provincial one and joined the provincial team?"

"Aren't you all the best dozens of people in the province? But you can't even understand this, and you can still participate in the finals?"

"What the hell, aren't you joking here?"

"Nima!"

"..."

Jiang Nan was going to be pissed off.

These people are not a little bit stupid!
After he finished speaking, he still looked at him with a dazed expression, just like Bai Xiaochun.

Gee!

It's really speechless.

At the same time.

These people under the podium are also speechless.

How to describe Jiangnan?
Force the king!

The king of Chiguoguo.

There is nothing else to say.

To know……

They are also the top academic masters, and even academic gods. They usually pretend to be better in their respective schools.

What a proud dragon!
What Versailles!
What they play is called a very proficient.

But in front of Jiangnan now, they suddenly felt that they were still too immature.

To ask which one is better at pretending, Jiangcheng No. [-] Middle School asked Jiangnan.

Whoever is the peak compared to ancient and modern costumes will become empty when it meets Nanshen.

Gee!

Not at the same level at all!
finally!
It was Lin Qianqian who faced Jiangnan's contemptuous expression, raised her hand weakly and said, "Um... Jiangnan, can you say it again? Slow down, I don't quite understand."

Jiangnan: "..."

Ok!

Take it, completely take it.

It's a pity that he looked up to these people before.

Because everyone present had a score of over 90 in the round of the Mathematical Olympiad, and even quite a few full marks.

The scores in the second round were also good, with a base of 90 points, so they wouldn't be like Liu Fan and Du Jiang, who couldn't even pass the exam.

But now it seems...

He really overestimated these people.

Yes!
These people are better than Liu Fan and others in No. [-] Middle School.

But really tell me how strong it is.

Not necessarily.

"That... this student, didn't you score 90 in the third round? That means you got half of the score for this question. I explained everything in detail. Why don't you understand?"

Jiang Nan frowned, very puzzled.

It doesn't matter if the people behind don't understand.

But Lin Qianqian was sitting in the second row, and she scored 20 out of 10 points. Shouldn't it be easy?

Lin Qianqian: "..."

Hearing this, his face turned slightly red.

"Then...Student Jiangnan, I...I used the enumeration method to verify, but because the data is too large, I only listed a part of it, so I can't list it. It can only be said to be a coincidence."

"But your equivalent expression is completely different. You are really seeking proof, so please repeat it..."

"..."

I have to say that at the level of a top student like Lin Qianqian, it's not 01:30 who has a high heart.

When Liu Fan from Jiangcheng No. [-] Middle School, Du Jiang from No. [-] Middle School, Xia Ji from Chu Ying and others saw Jiangnan pretending to be like this, and heard Jiangnan despise him so much, their first reaction was to be dissatisfied.

But for Lin Qianqian, it wasn't that she was dissatisfied, but that she was full of thirst for knowledge, and really wanted to understand Jiangnan's solution.

Three people, there must be my teacher Yan.

In Lin Qianqian's eyes.

Jiangnan at the moment is no different from the teacher.

She just wanted to steal the teacher.

Not only her.

Many people below have expectations in their eyes.

In this regard.

Fang Guoping, standing aside, nodded.

Although the talent and strength of these people in mathematics are not comparable to Jiangnan.

But this kind of mind that will always remain an apprentice and constantly explore and seek knowledge is commendable.

It seems.

This group of students is still very good.

Future achievements will not be low.

"Fine!"

"I'll say it one last time!"

"Analysis 1: Let's assume that after a certain round, the invisible rabbit is at point A, and the hunter is at point B. The distance between the two points is AB=R, and 0 is less than R and is less than or equal to 100."

"After considering N rounds, the invisible rabbit is at point X, which is located in the circle w1 with point A as the center and positive integer N as the radius (including the interior and the boundary)."

"Through the analysis of language thinking, it can be seen that the invisible rabbit is the dominant one, and the detector and the hunter are all around the rabbit."

"Common sense tells us that if the hunter is stupid, then the rabbit will get the farthest away from the hunter by running in a straight line."

"After N rounds, the invisible rabbit escapes farthest to the circumference of the circle w, that is, AX=N, and the escape direction is along the direction of the vector AX."

"With point X as the center and 1 as the radius, make a unit circle w2, then according to the meaning of the question, after N rounds..."

"..."

"Analysis 2: Designing hunters to track enemies..."

"..."

"Analysis 3: The increment of the squared distance between the hunter and the invisible rabbit after N rounds, with the vector BA as the x-axis..."

"..."

"Analysis 4: Under the above conditions, hunters have no better choice than to move forward in a straight line..."

"..."

"You must have heard all of the above, right?

"Then this...and this...and that...finally, after a comprehensive analysis of 1234 and the graph above, it is clear that the answer to this question is no."

"This question really couldn't be easier!"

"The integer N in it is very similar to a cyclic node. Starting from the analysis of the node situation, the invisible rabbit will enter the cyclic mode, just like the reincarnation loop in novels or games."

"If this doesn't make sense..."

"Then you are really not stupid billions..."

"..."

(End of this chapter)