PS: Thank you very much for the monthly ticket voted by Ice and Snow _ Fengqing, mojka, and fatter, and the fat man finally asked for a monthly pass.

In his opinion, being able to join Professor Liu Meng's team is even more tempting than winning the special scholarship of Mizuki University, this kind of experience is not something that ordinary people can get, and he must seize this opportunity.

"You said that you have done some research in patents, and I am in particular need of talents in this area, as we all know, patents have three characteristics, novelty, innovation, Practicality, practicality needless to say is that what you invent must be useful, of course, there are a lot of incredible inventions in the world at first glance really do not see any practical use, this is not the focus of our consideration, novelty and creation is the most important, novelty, is to be different from others, to create a new idea, if a technical solution has ABCDE five technical features, one of which has technical features A and B, and the other has technical features CDE, then this technical solution has novelty, whether there is a creation of zào？”

Liu Meng asked with a smile.

Xu Wei tilted his head and thought for a while and said, "There is no novelty and no creation." In fact, he only read the patent, and did not write it himself, so he did not know much about it, where did he think that Liu Meng would test him on the spot, and ask the most critical questions as soon as he came up.

Professor Liu Meng said: "I'm sorry, you don't even know the most basic thing about patents, this technical solution has novelty, but there is no creation, as for why, you can go to the in-depth study of the three characteristics of patents." ”

Xu Wei nodded shamefully and went down.

This concludes the evaluation of the 2007 Grand Scholarship of Mizuki University. From half past eight in the morning to half past three in the afternoon, as soon as it was over, the judges left immediately. Liu Meng also smiled and prepared to leave, but the students rushed forward to ask for autographs, and surrounded Professor Liu Meng in three layers and three layers outside.

Liu Meng returned to his place to live and rested for a while. Han Yan came over, Liu Meng let him into the room, and Han Yan was a little nervous. Liu Meng took the initiative to say: "There are results so soon?"

Han Yan said: "My mind has fallen into a dead end, and I must discuss it with Professor Liu Meng immediately. People with blue eyes know that there are at least 99 blue eyes. Brown eyes, on the other hand, are known to have at least 100 blue eyes. Therefore. Every inhabitant of the island knows that there are at least 99 blue eyes. So, they all knew that there was at least one blue-eyed person on the island, and they all knew that everyone else knew that there were at least 99 blue-eyed people on the island, and 899 brown-eyed. As a result, the outsiders did not tell any new information that was previously unknown to the inhabitants of the island, so what the outsiders said had no effect on the inhabitants of the island. ”

Professor Liu Meng smiled and did not speak.

Han Yan said embarrassedly: "I know I must be wrong, but I really can't figure out what my fault is." ”

Professor Liu Meng smiled: "How can you conclude that you are wrong? ”

Han Yan shook his head, "Since you have this problem. And I also enlightened the topic of a small town woman knowing her husband's affair before, and it is clear that this blue-eyed problem is not as simple as I analyzed. ”

"Do you have any other ideas?" Liu Meng's eyes lit up.

Han Yan nodded and said, "Since the question of a woman in a small town about her husband's affair can be solved by induction. Then this problem can also be used, but after dealing with it by induction, I get the opposite result, but I really can't figure out where there is a mistake in the above result. ”

"Listen to the induction. ”

There is a tribe on the island, consisting of 1000 inhabitants. There is a taboo in this tribe: they can't know the color of their eyes, they can't even talk to each other about it, if a tribesman knows the color of his eyes, according to the religious taboo of the tribe, he will commit suicide in the tribal square at noon the next day in front of everyone, and the tribesmen are absolutely religious, and they will follow this taboo.

The people of this tribe have good eyesight, they can see the color of everyone else's eyes, that is, they know the color of everyone else's eyes. The people of this tribe do not use mirrors and do not look at their eyes from the water, in short, they cannot know the color of their eyes from the outside world. Perhaps it was this religious taboo that made the people of this tribe not use mirrors.

The people of this tribe all have a high degree of logical reasoning. They also knew that the other members of the tribe had a high degree of logical reasoning, that the other members were absolutely religious, and that the other members knew the color of the eyes of everyone other than themselves.

The inhabitants of the island have two colors of eyes, brown and blue, of which 900 have brown eyes and another 100 have blue eyes. But every resident does not know this, because he does not know the color of his eyes. People with blue eyes can see that there are 900 people on the island with brown eyes and 99 people with blue eyes. Brown-eyed people are similar.

One day, an outsider came to visit Wèn on the island. The eyes of the outsiders are blue. One evening, in gratitude to the inhabitants of the island, the outsiders gave a speech to all the inhabitants. Outsiders are unaware of the island's taboo on eye color, and in his speech, he mentions, "How unusual it is to see a blue eye like mine here."

Now the question is, what are the consequences of this statement?

If there was only one blue eye on the island, then when he heard that there was at least one blue eye on the island, he knew that he must be that blue eye, because everyone else he saw had brown eyes. As a result, he would commit suicide at noon the next day.

What if there were only two blue eyes on the island? None of them could immediately advertise that they were blue eyes on the first day, but on the second day, everyone found out that the other was still there and knew that they must be blue eyes. This is because everyone thinks like this: if I wasn't blue-eyed, then the other person would have realized that he was blue-eyed yesterday, and the other person should have committed suicide today, but I am still here today, which means that I am also blue-eyed. Eventually, the two men will commit suicide together at noon the next day.

Similarly, if there are three blue eyes on the island, then everyone can quickly launch it by the third day when they find out that the other two have not committed suicide, and it must be because they are blue eyes. So, these three blue eyes will commit mass suicide at noon on the fourth. If you keep pushing like this, you will eventually come to the conclusion that if there are 100 blue eyes on the island, then everyone will realize that they have blue eyes on the 101st day, and they will commit mass suicide at noon on the 101st.

After Han Yan finished speaking, he was completely confused, "It seems that there is no flaw in the analysis with this method, it is impossible to get a completely different answer to the same question, one of them must be wrong, but I can't find out what went wrong, because you gave the town a hint for that question, I think the second result is correct, but what is wrong with the first result?"

Liu Meng was still very satisfied with Han Yan's logical thinking ability, but he said: "Actually, these two answers are not right. Han Yan was stunned.

Liu Meng continued:

A friend from the Department of Mathematics once told me a joke about the fact that there are three classes in the Department of Mathematics, and one day when I was in a big class in the department, I happened to hear two people talking, and one of them asked, "Are you in Class 3?" and the other person said, "Oh, so you are from Class 2!" Three logicians walk into a bar. The waiter asked, "Do you all want beer?" and the first man said, "I don't know." The second man said, "I don't know." The third man said, "Yes, we all want beer." There was a similar joke about a scene in the library of the mathematics department. A boy plucked up the courage to walk up to a girl and said, "This girl, let me ask you a question, if I ask you out, will your answer be the same as the answer to the question itself?"

The most important thing in mathematical research is thinking, and thinking is the foundation of scientific research, it is impossible to get innovative results without innovative thinking, Han Yan, your thinking ability is considered to be a passing grade in the field of scientific research, mainly because you are still stuck in the inertia of the exam, always thinking about the implicit information of the topic, just like you have been thinking about the tips I gave you, so you can't get rid of the limitation of thinking.

Han Yan lowered his head in shame, but he couldn't figure out what he was wrong.

Liu Meng smiled, "Before the archmage appeared, everyone could see 99 blue eyes, so everyone knew that 'at least one person on the island had blue eyes'. So, what exactly is the use of the presence of the Archmage? That's a good question. There is a special definition in game theory, and its answer is: the behavior of the archmage has made the news that 'at least one person on the island has blue eyes' become a consensus. ”

"Consensus?" Han Yan obviously didn't quite understand.

Professor Liu Meng nodded and said: "Yes, consensus, it is very important and very interesting in the crowd game, maybe you have heard of such a tongue twister, I know, you don't know I know, he doesn't know I know, he doesn't know, he knows I don't know......"

Han Yan suddenly felt his eyes dizzy...... (To be continued......)