ps: Thank you very much for Yang Lizi's book friends for their monthly ticket support again.$().(w)(x).(). Also, thank you very much for your two monthly tickets. You will get good results in the final exam.

"Professor Liu Meng, please accept me." Han Yan said very firmly.

Liu Meng was not very interested in Han Yan's students who had full marks inertial disease, so he couldn't help but persist. He pondered for a moment: "To be honest, I actually don't like students like you. Since you persist so much, I will give you a chance. In fact, the most important thing in scientific research is the thinking ability like a mental illness. I will give you a few questions below to test your thinking ability. Each question is five minutes. If you can satisfy me, you are welcome to join my team. If you can't answer one of them, I can only apologize."

Han Yan nodded firmly.

Liu Meng smiled and said, "Okay, then the first question will begin."

“How many times does the hour and minute hands overlap in the day?”

Han Yan's first intuition after hearing the question was 24 times, but immediately thought that it would not be so simple, so he hurriedly started to think about it.

When the minute hand and the hour hand start to move from 12:00, the minute hand of the clock moves in t circles for t hours, and the hour hand is t/12 circles. When the two watch hands overlap for the first time, the minute hand is one circle ahead of the hour hand, that is, t=t/12+1. At this time, t=12/11, that is, the watch hands overlap for the first time at 12/11 (slightly later than 1:05). Change the number of overlaps to n, and then change t in the formula to 24. You can get: 24=2+n. Obviously, n=22, that is, the two watch hands overlap 22 times in a day. They never overlap at 11 o'clock in the morning or afternoon. Because they have to reach the 12 o'clock direction of the dial at the same time.

In just three minutes, Han Yan gave the answer, 22 times. At this time, many interested students in the audience were also calculating, but none of them yelled stupidly after Professor Liu Meng gave the question 24 times. As a student of Shuimu University, he still has this kind of thinking ability.

Liu Meng nodded and said, "Yes, I got the answer in such a short time. This question is actually very simple. The difficulty lies in how to express specific problems in mathematical equations. This is a kind of thinking expression ability, which is extremely important in high-level scientific research. So listen to the next question."

"The problem of crossing the bridge is that the four people need to spend a shaking suspension bridge at night. Unfortunately, they only have one torch, and the bridge is too dangerous, and they cannot pass through this dangerous bridge without the help of the torch. What's more unfortunate is that the bridge is not very strong, allowing at most two people to cross the bridge at the same time. The speed of the four people cross the bridge is different, namely: 1 minute, 2 minutes, 7 minutes, and 10 minutes. Obviously, the time it takes for two people to travel to the bridge at the same time depends on the slowest person. So, what is the shortest time it takes for them to all of them to spend this bridge?"

Han Yan's first idea was to use the fastest person to repeatedly cross the bridge to pick up and drop off others. The time required is 2+1+7+1+10=21 minutes. The answer was obtained in just a few seconds. Han Yan immediately realized that this question may not be so simple. The shortest time must be less than 21 minutes, and there must be a faster way.

How should I cross the bridge? Han Yan was anxious and sweat was everywhere on his forehead. The two people who used the longest time must cross the bridge together to save time. However, if these two people passed together, then it would take too long for one of them to send the torch to the opposite side. What should I do? Han Yan was very nervous. His thinking had to jump and diverge at this time. How to solve this problem? Can you leave a person with fast tutorials on the other side in advance? Han Yan was happy and finally got the answer.

"Professor Liu Meng, the shortest time should be 17 minutes." Han Yan replied.

"Oh, tell me what you think about solving the problem."

"First let 1 and 2 cross the bridge together. It takes 2 minutes. Let 1 come back with the torch. It takes 1 minute. Let 7 and cross the bridge together. It takes 10 minutes. Let 2 come back with the torch. It takes 2 minutes. Finally, let 1 and 2 cross the bridge together. It takes 2 minutes. The final total time is 2+1++2+2=minutes."

"Hahaha, my thinking ability is really good." Liu Menghao was not hesitant to praise Han Yan, and then said: "What can we see from this question? Resources should be optimized and coordinated. People who have the longest 10 minutes of bridge time must cooperate with seven minutes to maximize the use of the ten minutes required for the bridge. It takes 1 minute and 2 minutes. It is a good university talent and needs to be reused. What I want to tell you is what you are good at is to maximize the use."

Han Yan nodded thoughtfully. Only then did he realize that when Liu Meng gave him a question, he was also guiding his thinking direction, which had subtly changed his full-score inertia disease.

Liu Meng suddenly turned his face and asked Hou Zhen, "Professor Hou, don't you mind if I set a question for Han Yan with your background?"

Hou Zhen thought that Liu Meng wanted to set a question based on the issues involved in his research direction, so naturally there was nothing to object to, and he agreed very readily: "If Professor Liu Meng likes it, please give me some advice."

"Then I'll be disrespectful." Liu Meng replied with a sly smile. Hou Zhen felt something was wrong. When Liu Meng told the problem, he almost ran away.

"Students all know that Professor Hou Zhen had had an encounter with others. Professor Hou Zhen just agreed. My question is: Does your husband have an encounter with others? There are 100 couples in a small town, and they all abide by a strange custom: if a wife finds that her husband has betrayed her, she will kill her husband that night. Women in the town know the secrets of other people's husbands, but they will not tell them. In other words, every woman only knows the situation of other men except her husband. Suddenly one day the mayor announced that at least one man betrayed his wife. Assuming that the mayor said the truth, everyone believes what the mayor said, then what will happen next?"

Han Yan felt confused when he heard this topic, and he couldn't figure out what the key point was. In a hurry, he could only use the exhaustive method.

Let's first assume that only one man betrayed his wife. At this time, the man's wife will suddenly find that she doesn't know any news about a man having an affair. The other 99 women know that one man betrayed his wife, that is, the truth. The only explanation for this is that there is and only one man who has an affair is his husband. So she will kill her husband that night.

What if there were two men? At this time, 98 women in the town knew the truth, but the other two women only knew that one man had an affair. It was not certain whether his husband also had an affair. So on the day the mayor announced the incident, the whole town was in peace. But on the second day, when the two women found that the other party had not executed their husbands, they would realize that more than one man had an affair. That was that two men had an affair. In this case, one of them must be his husband. So, these two women would execute their husbands at night at the same time.

Han Yan made a brain teaser. And so on. Can it be summarized that if there were n unfaithful husbands in the town, they would be executed on the n night after the mayor's announcement?

When the time came, Han Yan said his analysis without confidence. Liu Meng began to appreciate this student a little. Although he had exam habits and his thinking talent was amazing, he deliberately cultivated him into his team. He smiled and said, "Han Yan's thinking ability is indeed unique. If he had not spent too much time pursuing full marks in the exam. I believe you have achieved extraordinary results. What I want to tell you about this question is: Sometimes although there is only a very small amount of information, as long as you analyze it carefully, you can still draw effective conclusions. In the past few years, I am obsessed with game theory analysis. The following is the question I want to assign to you. Of course, you don't need to answer this question on the spot. If you have an answer, you can come to me alone tonight. How about it? Are you willing to challenge it?"

Of course, Han Yan was unyielding. Judging from the three questions that Professor Liu Meng gave him, Han Yan already felt that he had gained a lot, and his thinking ability was suddenly squeezed out, and nodded firmly.

Professor Liu Meng said: "Of course, if any other students have some insights, you can also talk to me about it. This is a very interesting divergence issue."

The title is like this.

There is an island, and there is a tribe on the island, composed of n=1,000 residents. This tribe has a taboo: they cannot know the color of their eyes, or even talk about this matter to each other. If a tribe member knows the color of their eyes, according to the religious taboo of the tribe, this person will commit suicide in front of everyone in front of everyone the next day at noon. The tribe members are absolutely pious and they will follow this taboo.

People in this tribe have good eyesight, and they can see the color of the eyes of everyone else, that is, they all know the color of the eyes of others. People in this tribe do not use mirrors, nor do they look at their own eyes from the water. In short, they cannot know the color of their eyes from the outside world. Perhaps it is this religious taboo that makes people in this tribe not use mirrors.

The people in this tribe all have a high level of logical reasoning ability. They also know that other members of the tribe have a high level of logical reasoning ability, and other members are absolutely devout, and other members also know the color of the eyes of others except themselves.

The eyes of the residents on the island are in two colors, brown and blue, of which 900 people have brown eyes and the other 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 900 people with brown eyes and 99 others with blue eyes. People with brown eyes are similar.

One day, an outsider visited the island. The outsider's eyes were blue. One night, in order to thank the residents of the island, the outsider gave a speech to all the residents. The outsider did not know the taboos on the island about eye color, and mentioned in the speech: "What an unusual thing is to see a blue eye like me here."

The question now is, what consequences will this sentence have?

After saying that, Liu Meng laughed and said, "This question is very interesting. Students who are studying computer science can also try it. This is actually a very profound programming problem. It involves deep-seated problems caused by interrupts and triggers."

"What consequences can this have? There is no consequence." As soon as Liu Meng finished talking about the problem, a classmate from the audience said to the classmate next to him in confusion.

The classmate next to him said angrily: "You are a pig's brain. Professor Liu Meng just said that this is a deep-seated problem. It must be not as simple as you thought. How many of the three questions you know just now?"

"That seems that I have to take some thought and think about it. Maybe I can join Professor Liu Meng's team if I have any experience."

"Don't dream in the daytime. If you don't accept a scholar like Han Yan, you will not accept a scholar like us. How can we learn from Professor Liu Meng?"

"Oh. I was also a scholarly god in our city. It attracted many female classmates to admire me. I didn't expect that Shuimu was a slag. I still don't even have a girlfriend."

"Stop talking. If I had known this, I would rather go to an ordinary school to be our chicken head. This foul tail is so boring."

"I'm still not capable. Look at it. Professor Liu Meng is just from the Ice City University of Technology. In the past few years, he has become a professor and is well-known nationwide. He has become a judge of our Shuimu University Special Award. If I had known that I would be like this as soon as I entered the school, I would not be able to get the results now, and I would not have any results."

"Come on, you, I've seen Professor Liu Meng's performance in the Guinness Intelligence Challenge in the US program. It's a terrible existence. It caused a lot of impulses in the United States at that time. I'm afraid that people were not interested in exams in high school and kept studying world-class problems. It's not like us, exams, and exams, and we have become machines that only know how to do exams and don't study."

"That's true."

...

The students in the audience were talking.

Professor Liu Meng said: "Okay, Han Yan, you go down, hurry up and study it. Never bring your thinking into a dead end and cause mental problems."

Han Yan was already idly looking at it and started to check it. He carried his notebook and pen with him and started writing and drawing. He heard Professor Liu Meng speak, nodded and retreated. He seemed to be distracted by the results of the special prize. In his opinion, being able to join Professor Liu Meng's team is much more important than winning the special prize.

The 10th person who came on stage was Liu Junyan from the School of Architecture. Finally, a bunch of boys came over and girls began to come. Her declaration was: Keep the warmth and warm in the Guangsha forever.

He won the first prize in the "Artificial Environment Discipline Award in Higher Education Institutions" Major Basic Competition.

He won the first prize in the first National College Student Energy Conservation and Emission Reduction Social Practice and Science and Technology Competition.

Students of the 5th phase of the "Siyuan Plan".

The credit scores of the university ranked first in all departments for six consecutive semesters, and the credit scores of the basic courses of mathematics reached 95.4. Liu Junyan said embarrassedly: "My grades are really bad compared to a classmate in front."

Liu Junyan said in the defense: "In social workers, we should promote ourselves to others and serve the society; in scientific research, we come from life to life. In the summer practice of the freshman year, I felt the interference caused by the drought and hot climate in the northwest region to people's lives and work. After continuous learning, I developed an air conditioner suitable for the arid areas of the northwest, so that the people can afford it. I hope to do scientific research that truly solves people's livelihood problems, care about the warmth and warmth of the world, and love the vast building."

Hou Zhengang was so angry that he was half-pierced by Liu Meng. At this time, he smiled and said softly: "Student, don't underestimate yourself. Your grades are already excellent enough. Different majors are not easy to compare together. You can develop an air conditioner for arid areas down-to-earth, which solves the national economy and people's livelihood problems. It is really amazing."

Liu Junyan nodded and smiled, "Thank you Professor Hou Zhen for your approval." After saying that, he looked straight at Professor Liu Meng. It seemed that he was still very concerned about the comments of Professor Liu Meng, who was the most popular, and the girl was still very confident.

"It's pretty good, let's be the next one." Professor Liu Meng only said one sentence, and there was obvious disappointment in Liu Junyan's eyes.

The 11th person who came on stage was Xu Man from the Department of Precision Instruments. Her declaration was: Do a warm homework girl.

She has served as the organizational group of the Youth League Committee of the Precision Instrument Department, a member of the Board of Directors of the Second Phase of Spark, a member of the 4th Phase of Siyuan, a member of the study committee member of the 14th Class of Jing 14th, and a branch secretary.

Her three-year results ranked first in the department.

She is also a member of the Shuimu-Berkeley Global Technology Entrepreneurship (GTE) project. As a selected team, she participated in the exchange and visits at the University of California, Berkeley and Silicon Valley in May 2007.

Her paper "along-termstable powersupplyμdmfcstackforwireless color nsornode applications" is included in j..

Xu Man said in the defense: "After three years of growth, the three words "engineering girl" who was self-deprecating in my freshman year have become my most warm belonging and confident label. When I volunteered, I found that many people were disabled due to illness that could not be detected in time. We not only need high-end equipment, but also equipment that is close to people's livelihood. In order to refresh the fail in the experimental book, I insisted on experimenting in the laboratory 24 hours before returning to China. We always have to accept constant failure to keep our original dreams."

"If you fail to select the special prize this time, what is your first thing to do?" Professor Liu Meng asked immediately.

Xu Man was very happy to get a question from Professor Liu Meng. He turned his head and thought for a moment: "I should be very unhappy. After all, no one can be indifferent to failure. Being able to withstand failure does not mean that it will not be sad if it fails. Next, it may ask two or three friends to have a big meal and then sing."

"Well, it is not easy for an excellent person to face failure. You seem to be interested in entrepreneurship? Which one do you prefer in technology or business?" Professor Liu Meng continued.

Xu Man said a little embarrassedly: "Maybe because I am a more practical engineering major. I am not very interested in technology without application prospects. Compared with Professor Liu Meng, I am all about the limits of human intelligence."

This is a very clever answer. Moreover, the girl cleverly used praise to defeat Professor Liu Meng, but Liu Meng couldn't hear it. She laughed and said, "It's very good, but I actually thought it the same way. The reason why I have devoted several years to studying mathematical conjectures is that my enlightenment teacher, Mr. Kong Jidao, has a great influence on me. However, I discovered a great practical application after theoretical research. What I want to tell you is that being a person is more practical, and doing scientific research is more practical, but sometimes doing something that seems useless may contain a treasure."

After a pause, he said, "It's like two salesmen going to an island without shoes to sell shoes. One of them thinks that no people on the island wear shoes. They definitely can't sell them, and there is no market at all. The other salesman thinks that this is a huge market because everyone is not wearing shoes. If you spend a lot of energy to change everyone's living habits, then everyone needs a pair of shoes immediately. Haha, which one do you think is more clever? Sometimes the dividing line between true and false is very unclear."

Xu Man was thinking about his analysis, and then a smile appeared on his face. Professor Liu Meng told him that when he reached a certain level of research, it was difficult to tell whether there was any practical application before research. So whether to study it? Xu Man nodded and said sincerely: "I have been taught. Professor Liu Meng is worthy of being an international master. I wonder if I can join your team?"

Professor Liu Meng said simply: "Sorry, my team doesn't need you."

When Xu Man heard a hint of sadness flashed across his face, he heard Professor Liu Meng say again: "This is also a failure for you, so I really want to know what you would do if you dare to face failure?"

Xu Man said happily, "I'm going to follow Professor Liu Meng after the review meeting is over. I will follow you wherever you go. In fact, I didn't introduce another characteristic of me just now, that is, persistence like a fool." As he said that, a smile appeared on the corner of his eyes.

Liu Meng smiled and said, "This may not be of any use to me. I have been haunted by a girl like this before, but it is useless."

Xu Man suddenly said boldly: "Then I will pursue Professor Liu Meng. For an engineering girl who only looks at practicality, nothing is more effective than this. As the saying goes, women chase men's compartment."

Liu Meng almost fainted and said with a haha: "Okay, you can join my team, but you just happen to be a little girl who cooks water and makes tea. You should be competent."
Chapter completed!