Chapter 170 No, no, no, why don’t you understand?

“Question: 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 the n-1 round 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 the point An-1 and the 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 the point Bn-1 and the point Bn is exactly 1.

Let me ask: No matter how the rabbit moves, and no matter what points the positioning device feedbacks, the hunter can always choose her movement method appropriately, so that after the 10^9 round, she can ensure that the distance to the rabbit is at most 100? ”

“…”



This is the final finale of the three rounds.

It is also a very interesting question.

certainly!

It’s just interesting.

As for the difficulty…

For Jiang Nan, there is no difficulty at all.

It’s soeasy!

“This question is 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 invisible rabbit to bless the membrane method and control the detector.”

“2: Affected by 1, the hunter may have a bias in judgment in some cases.”

“The equivalent expression here allows to create some possible situations that are not conducive 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 winning strategy for rabbits, because neither a hunter nor a rabbit with a stealth mask has 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 at the person below, he only saw 29 dumb faces?



Jiang Nan: “…”

“I’m done.”

“You don’t understand, do you?”

“No? Really not? Don’t you understand such a simple question?”

“Fuck, you really didn’t understand?

“This, this…you guys are too stupid, right?”

“Don’t you all advance to the provincial one, have you joined the provincial team?”

“Aren’t you all dozens of the best in a province? As a result, you don’t even understand this. Can you still go to the final?”

“What’s special, is it funny here, right?”

“F*ck!”

“…”

Jiang Nan was going to be furious.

These people are not a little stupid!

He had finished the questions, and he looked at himself dumbfounded, just like Bai Xiaochun.

Gee!

It’s really speechless.

At the same time.

These people under the podium were also speechless.

How to describe Jiang Nan?

Force the king!

Chi Guoguo’s compelling king.

There is no other words to say.

To know……

They are also the top school masters, and even learn the gods, and they don’t play less in their respective schools on weekdays.

What Long Aotian!

What Versailles!

What they play is called a very skilled.

But in front of Jiang Nan, they suddenly felt that they were still too immature.

If you want to ask which one is better than the pretender, Jiangcheng Third Middle School will look for Jiang Nan.

The ancient and modern costumes are better than anyone else, and when they encounter the Southern God, they become empty.

Gee!

It’s not on the same level at all!

finally!

Lin Qianqian held Jiang Nan’s contemptuous expression and raised his hand weakly: “That… Jiang Nan, can you say it again? Speak slowly, I don’t understand too much.”

Jiang Nan: “…”

All right!

Take it, take it thoroughly.

Because of him, he looked at these people high before.

This is because everyone present has scored more than 90 points in the Olympiad round, and even scored a lot of full points.

The score in the second round was also good, with a bottom of 90 points, not the same as those of Liu Fan and Du Jiang, even passing.

But now it seems…

He really overestimates these people.

Yes!

These people are better than Liu Fan and others in Yizhong.

But where is it really strong?

Not necessarily.

“Um… this classmate, didn’t you score 90 in the third round of the test? In other words, you scored half of this question, and I said it all in detail. Why don’t you understand?”

Jiang Nan frowned, very puzzled.

It’s fine if the people behind don’t understand.

But Lin Qianqian was sitting in the second row, and he scored 10 points for every 20 points. Shouldn’t he get through at one point?

Lin Qianqian: “…”

Hearing this, his face turned slightly red.

“Then… Classmate Jiang Nan, I… I used the enumeration method to verify, but because the data is too large, only a part of it is listed, so I can’t list it anymore. It can only be said to be a trick.”

“But your equivalent expression is completely different. You are really seeking proof, so please tell me again…”

“…”

I have to say that at the level of Lin Qianqian’s top-notch God-learning level, those with high xinxing are not just a little bit.

Switching to Liu Fan from Jiangcheng No. 1 Middle School, Du Jiang from No. 2 Middle School, and Xia Ji from Chu Ying, the first reaction was dissatisfaction when they saw Jiang Nan pretending to be like this, and hearing Jiang Nan despise him so much.

But for Lin Qianqian, it was not dissatisfaction, but full of curiosity, really wanting to understand Jiang Nan’s solution.

Three people, there must be my teacher Yan.

In Lin Qianqian’s eyes.

At this moment, Jiang Nan is no different from the teacher.

She just wanted to steal the teacher.

Not only her.

Many people below are looking forward to it.

To this.

Fang Guoping, who was standing aside, nodded.

Although the talents and strengths of these people in mathematics are inferior to Jiang Nan.

But this mindset of keeping an apprentice forever and constantly exploring and seeking knowledge is commendable.

It seems.

This group of students is still very good.

Future achievements will not be low.

“alright!”

“I’ll say it one last time!”

“Analysis 1: Let’s suppose 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 less than or equal to 100.”

“After considering N rounds, the position X of the invisible rabbit is located in the circle w1 (including the interior and the boundary) with point A as the center and a positive integer N as the radius.”

“Through the analysis of language thinking, it can be seen that the invisible rabbit is the dominant one, and the detectors and hunters are all around the rabbit.”

“Common sense tells us that if the hunter is stupid, then the rabbit can run in a straight line to get the maximum distance away from the hunter.”

“After N rounds, the invisible rabbit escapes as far as the circumference of 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: Design hunters to track enemies…”

“…”

“Analysis 3: The increase in the square of the distance between the hunter and the invisible rabbit after N rounds, with the vector BA as the x-axis…”

“…”

“Analysis 4: Under the above-mentioned conditions, the hunter has no better choice than to move in a straight line…”

“…”

“Surely you understand all of the above, right?

“Then this…then this…then that…Finally, a comprehensive analysis of 1234 and the figure above will make it clear that the answer to this question is negative.”

“This question really couldn’t be easier!”

“The integer N is very much like a loop node. Starting from the analysis of the node, the invisible rabbit will enter the loop mode, just like the cycle of reincarnation in a novel or game.”

“If you still don’t understand…”

“Then you are really not stupid a little bit…”

“…”

Tap the screen to use advanced tools Tip: You can use left and right keyboard keys to browse between chapters.

You'll Also Like