Xu Heng, "How to prove it?"
The Hongjing army was silent for a moment, and then sent a message, "Take a blue point B at random, then B is the apex of the four areas, and record these areas clockwise as P1, P2, P3, P4..."
"If not, then there is an area, let's first set this area as P2, and the value assigned to B is greater than 1/2, then P2..."
Hong Jingjun and Xu Heng chatted, thought, and explained the process while talking. This feeling has not been experienced in decades.
He was so excited, he almost forgot the feeling.
He gasped, goosebumps all over his body.
That long-lost feeling is like a relative who has not been seen for decades, suddenly reappearing.
It is not an exaggeration to have tears in my eyes.
Hong Jingjun felt relieved while typing.
"So it can be proved that k ≥ n under the root sign."
"Student Xu Heng, what's your idea of solving the problem?"
Xu Heng didn't hold back, and said bluntly, "If two intersections are on the same straight line, and there is no other intersection between them, we first call them neighbors."
Hong Jingjun's eyes lit up, "Neighbor? Interesting..."
Xu Heng, "At the beginning, all intersection points are not colored, and all straight lines are not colored."
"Afterwards, each straight line may be colored blue or not, the intersections of the blue lines and the blue points are all colored, and the other intersections may be colored red, or not."
"Once points and lines are colored, their colors remain unchanged."
At first glance, what Xu Heng said seemed like a tongue twister!
It is impossible for ordinary people to understand.
But Hong Jingjun watched it with relish, and even his eyes lit up, full of praise, "It's interesting! This little guy is amazing!"
Xu Heng continued, "First take out a straight line at random, dye it blue, and then..."
"..."
"Performing k operations..."
"The above is called discussion operation, keep doing this kind of operation until you know it can't be operated."
"If there is a bounded area with all blue sides at this time..."
"..."
"However, operations ①②③ will cause at least one point in P1 or P3 to be dyed red, which is contradictory."
"Assuming that there is k at this time..."
"..."
"So, the conclusion holds."
Xu Heng finished speaking.
Hong Jingjun looked at the time subconsciously. Even after he and Xu Heng finished sharing his ideas, and Xu Heng finished his second problem-solving ideas, it was still not 15 minutes!
Not even 10 minutes.
"hiss……!"
Hong Jingjun gasped, especially shocked.
"Unbelievable, simply incredible!"
"I really started to wonder, how did this student Xu Heng do it?"
"Did he really come up with this randomly? Or was it a topic he had been preparing all along, or rather, where did he see the original topic..."
but no matter!
With Xu Heng's strength, he solved it within 10 minutes!
And there are two ways to solve the problem.
Xu Heng, "Old man, you have also seen that the two ways of solving the problem only take 10 minutes, so giving them 15 minutes is more than enough time, right?"
After getting married with Hong Jingjun, Xu Heng directly said in the group, "@All Members, Mr. Hong knows two ways to solve problems. You can ask Mr. Hong later!"
Throw the pot directly!
Xu Heng also didn't say that he told old man Hong the second way of solving the problem, which gave him enough face, and at the same time he acted first, using him as his own shield.
"It's good to have someone like this in the group!"
"At least I can save a lot of trouble in the future."
Hong Jingjun also saw it clearly, "Hey! Does this kid treat me as a tool?"
I!
Red King Army!
Once a professor in the Department of Mathematics in Northern Qing Dynasty!
Academician of the Academy of Mathematics!
Now that he's retired, he's actually become this little guy's tool man?
Hong Jingjun is not well.
But there was nothing he could do. He did know two different ways of solving the problem.
Xu Heng, "If you don't want me to give the answer in 15 minutes, you can find Mr. Hong!"
"Look for him in the future!"
Xu Heng's words gave everyone a psychological hint, that is, Mr. Hong knows all the questions I asked!
It's the same whether you ask me or Mr. Hong.
The old man Hong looked at the screen and muttered angrily, "Thank you! You little guy!"
He also knew very well that Xu Heng did it on purpose.
The people in the group didn't know it, they only knew to mingle with the Hongjing army and discuss and learn in various ways.
Xu Heng put away his phone and took a nap.
When Xu Heng arrived, he was woken up by the driver, and after getting out of the car...
It was not the receptionist who came to meet him, but Sun Jianhua and another strange old man.
This strange old man was leaning on crutches with a smile on his face.
Xu Heng stepped forward, "Old Sun, why are you here?"
Sun Jianhua smiled, "Surprised, isn't it? Even I was surprised, but when your province invited me again, it said you would come too, so I came!"
Xu Heng, "Uh..."
Sun Jianhua, "Xu Heng! There are many dangers in this test-examination group meeting!"
"Let's put it this way, your province invited us here to support your brat!"
"Oh, I forgot to introduce you. This is Professor Hong, Academician Hong, and they were also invited together!"
"I am in charge of Chinese, and he is in charge of mathematics."
Professor Hong?
Academician Hong?
How many people with the surname Hong are there in the world?
How many can become professors and academicians?
Xu Heng already guessed who this was!
Xu Heng frowned, "Hong Jingjun, Mr. Hong?"
The other party smiled, "Little guy, didn't you expect that?"
Xu Heng, "!!!"
Contrary to Xu Heng's expectations, I really didn't expect that the province actually spent a lot of money and invited them all here!
In front of them, not to mention the elite teachers from various cities, Wu Liubai, Qian Yuejiang, Zhu Tiesen, etc., in front of them, these people are also juniors, younger brothers!
It seems that the province really took care of itself this time.
Do not!
To be precise, it's flattery!
The province also personally arranged for Xu Heng to live with these two leading figures.
Even the house numbers of the hotels are next to each other.
After going upstairs, Xu Heng took a rest.
These two followed Xu Heng.
They looked at Xu Heng, as if they wanted to look at a baby.
Sun Jianhua, "Old Hong, how are you? Young and promising! I told you, this little guy is very handsome!"
Hong Jingjun gave a thumbs up, "He is handsome enough! He is much more handsome than I imagined."
"In people's subconscious, when they are vaccinated in advance, in most cases, they will be disappointed."
"But I never expected that this little guy would surprise me again and again."
"It doesn't matter whether you set the question or answer it, the appearance is even more important! Let me tell you, just before, we discussed the Olympiad problem..."
Sun Jianhua immediately interrupted Hong Jingjun's words, "Stop! Stop! Lao Hong, I don't understand your mathematics very well, so don't tell me, or you will be playing the piano against the cow!"
Hong Jingjun froze for a moment, and finally looked at Xu Heng.
Even people like Sun Jianhua couldn't take into account the second kind of knowledge, but it happened to Xu Heng.
Sun Jianhua could see Hong Jingjun's shock, and he also reminded, "Not only us, Lin Xiyuan, etc., but even more, student Xu Heng has made great achievements."
Hong Jingjun frowned, "You mean calligraphy? Are you sure?"
Sun Jianhua, "Old Hong, you really know too little about Xu Heng!"
Red King Army, "!!!"
"Sleep late tonight! Tell me more about this little guy!"
Today is mainly rest.
The test-examination team meeting will start at nine o'clock tomorrow morning.
After Xu Heng had dinner with Sun Jianhua and Hong Jingjun, he went back to rest.
As for Sun Jianhua and Hong Jingjun, they had been chatting since dinner until twelve o'clock in the middle of the night.
Hong Jingjun was shocked the whole time!
"Can it still be like this?"
"His calligraphy, no, his attainments in calligraphy and painting are so high!"
"Physics? He is also very talented in physics?"
"..."
Too many points, shocking.
The Hongjing Army no longer knew what to do.
Station is not!
Sitting is not!
He paced around the room, back and forth many times, finally he couldn't bear it anymore, and walked to the door.
Sun Jianhua, "Why are you going? It's already twelve o'clock! Xu Heng has already rested! Do you want to knock on the door at this hour?"
Hong Jingjun, "This...!!!"
He couldn't contain his excitement.
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