Section 2 The question of the seven bridges of Königsberg

Just when Wang Lian, a fifteen-year-old junior high school student, was extremely surprised and shocked that he was actually in charge of an underground casino, Duan Tianwolf was sitting at the counter wearing a mask as he usually did.

The so-called underground casino is actually just a very small basement, about 200 square meters, in which dozens of gambling tables are placed large and small, and the gameplay includes dice, poker, mahjong and the like. The people who come here to play are generally people who work in the nearby coal mines, most of them are small bosses, and these people's income of thousands of yuan per month is basically spent here except for food and scoops.

Although it has such a stable group of customers, after all, the people who come here to play are not rich people. It's hard to see a scene like that of spending a lot of money here. It's not so much a casino as a leisure center with a bit of a high budget. It is precisely because of this that the business of the casino is not large, and the daily turnover is only more than 30,000 yuan.

Contrary to the others, Duan Tianluo had used casinos as ATMs since he was ten years old. Once upon a week, he would come here to play mahjong, poker and occasionally roll dice with the bigwigs from the coal mines.

At the beginning, everyone else only thought that Duan Tianwolf was a little kid who didn't know what to do. But after he had been winning money from here for ten weeks in a row, everyone began to notice that this little kid was unusual. And Hou San, the boss who owns seven gambling stalls in the coal mining area, also began to notice this child from this time. He found that Duan Tianluo came every week, and each time he only won a few hundred yuan, and then left, definitely not winning much. The look on his face as he took the money from the table, so calm that it was almost like he had taken it from an ATM.

After observing this for three years, Hou San made an exception for this thirteen-year-old child to become the manager of the gambling stall. He did this because he found that the kid was purposeful, level-headed, and never greedy, the casino manager he had always dreamed of.

In this way, Duan Tianwolf went from being the youngest gambler in the casino to becoming the youngest casino manager in Shanxi and even the country.

Because he has to go to school, Duan Tianwolf's class time is every weekend, as well as the ninth, eighteenth, and twenty-seventh of each month.

Duan Tianwolf didn't like the air in the casino very much, so he wore a mask sprayed with flower water to work every time.

When he was at work, what Duan Tianwolf had to do was very simple, that is, he would patrol the casino every hour to see if anyone was out of the game, and when there was a shortage of people in some games, he would go up to the top corner.

After sitting at the counter and dozing off for a while, Duan Tianluo raised his head and asked the little brother next to him, "How much money did Old Man Wang lose?" ”

The younger brother replied, "I lost more than a thousand." ”

When Duan Tianwolf heard this, he stood up, walked to the old man surnamed Wang, and patted him lightly on the shoulder, "Old man Wang, it's almost time today, let's go home." ”

"Don't bother me, I'm about to start pulling the book." Old man Wang shook Duan Tianwolf's hand away and said impatiently.

"You're in too impetuous mood today and can't win money, hurry up and go home, don't let your wife come to make trouble again." Duan Tianwolf gently persuaded again.

Old man Wang was probably in a hurry, "Oh, are you annoying?" It's not that you don't pay your desk fee! ”

Duan Tianwolf didn't say anything at this time, stood up and walked back to the counter, sat down again, and said to the junior brother, "In another ten minutes, if he doesn't go back, I'll drive him away." ”

After Duan Tianwolf finished speaking, he lay down on the counter and continued to sleep.

At about ten o'clock in the evening, he was woken up by the call of his classmate Hong Ming, "Ah wolf." ”

Duan Tianwolf rubbed his eyes, raised his head and looked, "Hong Ming, why did you come to me so late?" ”

"Today there was a substitute teacher, and he gave us a problem, saying that if anyone could solve it, he would give him a watch. Several of our top students have been studying together for a long time, but they can't get results. I thought you would be able to find a way, so I came to you. When Hong Ming said this, he smiled at Duan Tianwolf, "Ah wolf, I like that watch a lot, don't fight with me." ”

Duan Tianwolf glanced at Hong Ming, reluctantly sat up straight, and stretched out his hand in front of Hong Ming, "Show me the question." ”

Hong Ming hurriedly handed over the question with a smile, and then Duan Tianluo saw that it was written: "In the 18th century, there was a small scenic city in Europe, Königsberg, where there were seven bridges. Island A in the river is connected to the left bank B and C on the right bank of the river by two bridges, and the land D between the two tributaries of the river is connected by a bridge to A, B and C. Excuse me, how can a person walk through seven bridges at once, each bridge only once, and finally return to the starting point? ”

Underneath this question, is a figure with small islands and seven bridges.

Although Duan Tianwolf is very smart, he has never left this mountain, so he doesn't know that there is a theorem in the world called Euler's theorem, and he can't know that this problem is the Königsberg Seven Bridges problem, which has an extremely important position in the history of mathematics.

However, Duan Tianwolf didn't even use a pen, but just looked at this figure attentively, and walked through this figure several times in his mind.

Ten minutes later, he returned the homework book to Hong Ming and said, "You have been tricked by this substitute teacher, this is simply impossible." ”

"Hah, how is that possible? That teacher doesn't look like such a cunning person. Hong Ming said in disbelief, "Or, Ah Wolf, you think about it a little longer?" ”

"Don't think about it, this is the result, it's simply impossible." Duan Tianluo shook his head and said a little lazily.

Hong Ming saw that Duan Tianwolf had already made up his mind, so he immediately believed Duan Tianwolf's words, and said with some resentment: "It's really hateful, that guy looks like a good person, I didn't expect it to be a liar." No wonder, how could he be willing to give away such a good watch. ”

The next day, Wang Lian came to Jinnan Middle School again, and when he stepped on the podium of the third and second classes of junior high school, the first thing he saw was the seat that was vacant yesterday.

Today, there is a man sitting in this seat.

Although sitting, Wang Lian could still visually see that the height of this fifteen-year-old boy was about 1.7 meters, and he had short black hair, which looked like he hadn't taken care of for many days, but because it was too short, there was no chance to mess up. His face looked a little pale, and he didn't seem to be in good shape.

As the saying goes, the most important thing to look at people is to look at people's eyes, and what shocked Wang Lian the most was Duan Tianwolf's eyes. It was bloodshot and looked like the result of staying up late. At first glance, you may think that these eyes are very unfocused, because they are always drooping downwards intentionally or unintentionally.

However, if you look closely, you will find that this is not the case at all, and between the loose and lazy opening and closing of these eyes, there is a hidden sharp aura.

It was like seeing a lone wolf lying tired in the middle of the night in the desert.

There was a deep loneliness in those fierce eyes, and a disdainful contempt for the whole world.

At this moment, Wang Lian unconsciously felt the feeling that everyone who had ever been with Duan Tianwolf had felt - a kind of indifference that rejected people thousands of miles away.

It feels like it's telling you plainly that we don't have anything to do with each other, stay away from me.

"Looks like a very difficult young man to deal with." Wang Lian took a deep breath and said in his heart.

Thinking like this, Wang Lian showed a smile on his face, "Ladies and gentlemen, who made the thinking questions I left for you?" ”

As soon as his words fell, Hong Ming stood up angrily, "Teacher, this is a question with no answer at all, you lied to us." ”

Hearing Hong Ming's answer, Wang Lian's eyes looked in the direction of Duan Tianwolf, while Duan Tianwolf casually turned his head out of the window.

Wang Lian smiled and said, "Congratulations, classmate Hong Ming, you answered correctly, this watch is yours." ”

As Wang Lian spoke, he handed the watch to Hong Ming from his wrist, and when he came back, he glanced at Duan Tianluo who was lying on the table with deep meaning, and then walked back to the podium and began to lecture casually.

When the class bell rang, Wang Lian took out a piece of paper from the handout, walked to Hong Ming's side, handed it to Hong Ming, and said to him with a smile: "If you answer this question before the next class, I will give you the gold pen I brought back from the United States." ”

Wang Lian said, slapped the golden pen on the table, and left the office with a smile, "I'm waiting for your answer in the office." ”

After Wang Lian went out, all the students in the classroom came to Hong Ming's side at once, rushing to look at this question. Only Duan Tianwolf was still lying motionless on the table, he really needed sleep after guarding the casino all night last night.

A minute later, the whole class was dumbfounded, because what Wang Lian had left behind was a three-dimensional geometry that only MIT college students could understand. As a junior high school student in a rural middle school who even learns plane geometry very often, how can he know how to answer? They can't even read it.

At this time, the class can only think of one person. So everyone swarmed up to Duan Tianwolf's table and shook him awake vigorously, "Ah wolf, Ah wolf......"

Duan Tianwolf was not interested in Wang Lian's golden pen, but the enthusiasm of his classmates was too high, and he had the momentum of not answering and never letting him sleep, so Duan Tianwolf had to take over Hong Ming's question.

When there were only thirty seconds left before class, Duan Tianwolf finally finished answering this question, and then Hong Ming hurriedly grabbed the answer and rushed to the office, behind him was the touching and earnest entrustment of his classmates, "You can't swallow the golden pen alone, you have to sell it when you get it, please go down to the restaurant together!" ”

Thirty seconds later, at the moment when the class bell rang, Hong Ming, who was full of confidence and panting, slapped the test questions on Wang Lian's desk, "Teacher, the golden pen is mine!" ”

Wang Lian looked at Hong Ming and smiled, then reached out and picked up the test question, and after three minutes, Wang Lian's face disappeared without a trace, but became extremely serious, and his two eyebrows were twisted together.

Seeing Wang Lian's expression, Hong Ming immediately defended: "Teacher, this question was made by a wolf, and it can't be wrong." ”

As soon as Hong Ming finished speaking, he realized that he had said the wrong thing, so he immediately stuck out his tongue and grinned embarrassedly.

And Wang Lian was not in the mood to care about these at this time, at this moment, he fell into an unprecedented shock, this was not because Duan Tianwolf had solved this problem, of course, it was even more impossible because Duan Tianwolf had done something wrong.

What shocked Wang Lian so much was Duan Tianwolf's method of solving the problem - he did not use the method of three-dimensional geometry to solve this problem, but the method of plane geometry to solve this problem.

As for the method, it is very simple, first use the method of plane geometry to deduce several formulas of solid geometry, and then use these self-deduced formulas to solve this problem.

Duan Tianwolf's method of solving the problem clearly shows the fact that he has never been in contact with three-dimensional geometry, and he only relies on the foundation of plane geometry to solve a difficult three-dimensional geometry problem.

A fifteen-year-old boy like Duan Tianwolf, who can solve the problem of three-dimensional geometry, Wang Lian has not seen it, Wang Lian himself can do it at the beginning. But the person who has never studied solid geometry and can solve the problem of solid geometry just by relying on the formula of plane geometry, Duan Tianwolf is the only one in Wang Lian's life.

This is definitely not an ordinary thing for a person who has spent his life dealing with all kinds of talented teenagers.

"Oh my God......" Wang Lian put the test questions on the desk, his right hand half-covered his mouth, and his ring finger couldn't stop trembling slightly, "I need to calm down." ”

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