I really just want to be a scholar
Chapter 521 The Last Puzzle of the Hail Conjecture
Chapter 521 The Last Puzzle of the Hail Conjecture
Kiyoki University, President's Office.
The principal Huang Ruide is drinking tea and chatting with the vice principal Gu Bojun.
The two were high school classmates in the past, and they have worked together for many years. Huang Ruide is more powerful, but Gu Bojun is very good at getting along with people, so the two have always gotten along very well and cooperated well, and they have a good personal relationship. Whenever Principal Huang is on a business trip, he will temporarily entrust Gu Bojun to supervise the overall , which shows his trust in Gu Bojun.
Principal Huang listened to the noise of students coming from the playground in the distance, and asked with a smile, "Have Qin Ke and Ning Qingyun been a little quiet recently?"
Gu Bojun carefully filled Principal Huang with tea, and then smiled and said, "Do you think they are not used to it because they have not had any major incidents in the past three months since they returned to China after receiving the Cole Prize in Number Theory in August? "
"That's right. Apart from publishing papers in the "Acta Physica" and "Xiaguo Biology Journal" at the end of July, they have nothing new. Are they still working on the hail conjecture?"
Gu Bojun nodded and said: "It should be. After the final exam in July, I happened to meet Qin Ke. I asked him, and he said he didn't have a clue. Now it's been another three months, why don't I ask them how it's going?" ?”
Principal Huang waved his hand: "Forget it, don't ask them. The difficulty of hailstorm conjecture is too high. If I remember correctly, there was a famous foreign mathematician Ursit once said that the difficulty of hailstorm conjecture is almost as difficult as Fei's. Ma’s conjecture. Think about it, it took more than 300 years for Fermat’s conjecture to be proven, while Hailong’s conjecture is only 70 to [-] years old. No matter how powerful Qin Ke and Ning Qingyun are, they may not be able to prove it. And , They should have only started researching the hail conjecture in March and April this year, right? They didn’t have a clue in July, and now it’s only been more than three months, and it’s estimated that there’s not much progress, so asking them will put pressure on them.”
Gu Bojun nodded slightly.
Back then, Qin Ke and Ning Qingyun chose this hailstone conjecture as Qingba's common subject. Gu Bojun also checked a lot of information, and the more he checked, the more difficult it became to find this problem. Even Professor Tao, who is known as the "genius among mathematical geniuses," In the face of this hail conjecture, it is difficult to imagine how difficult the hail conjecture is. It is really not comparable to the Polignac conjecture.
It's just that Qin Ke and Ning Qingyun have won the Mathematics Breakthrough Award and the Cole Number Theory Award successively. They have long been famous mathematicians in the world, so Mr. Gu Bojun subconsciously expects them to continue to create new miracles.
The two chatted about the domestic EDA "Qiguang" released more than a month ago. After all, this is the result of the team led by professor Xu Qingyan of their school, which deserves attention and publicity.
"I heard that 'Qingguang EDA' is still being tested by major chip manufacturers, and the response is quite good. Xu Qingyan is indeed a student strongly recommended by Academician Jiang, and this time he really gave Qingmu University a big face. I It is still a miracle until now, the birth of domestic EDA is comparable to the birth of domestic operation."
As soon as this matter was mentioned, President Huang's face was full of smiles. Qingmu University has always been overwhelmed by Beiyan University in terms of computer science and informatics. It is the second child of Wannian. This time Qiguang EDA was born , It can be regarded as making Qingmu University proud in this regard.
He asked again: "Have the results of the ACM International Collegiate Programming Contest come out?"
"Oh, by the way, I almost forgot to report to you. The results came out yesterday." Gu Bojun said softly: "Our overall performance in Xia Country is not particularly outstanding. Our school's representative team only won the silver medal. Gold medal. Speaking of which, Xia Guo hasn’t touched the global championship trophy for more than ten years, and the last time it was won by Zhejiang University was 13 years ago.”
Principal Huang sighed slightly, he had already guessed that it would not be a good result, otherwise someone would have come to announce the good news immediately.
The ACM International Collegiate Programming Competition is the most influential programming competition for college students in the world, and it is also regarded as the vane of the country's future information science.As a school leader of a top domestic university, how could he not hope that his school can win the global championship in such a world-class competition?
It’s just that there is indeed a big gap between Kiyoki University and world-class universities in terms of informatics, and this gap cannot be bridged overnight.
Principal Huang remembered something: "Speaking of which, after Qin Ke and Ning Qingyun came to our school, didn't they have any contact with informatics? They were computer geniuses who developed the Lime operating system."
Gu Bojun is still very concerned about the two students, including their syllabus and transcripts will be read in detail, he recalled: "They have taken elective topics in informatics, such as artificial intelligence, graphics, chips, etc. Architecture, etc., but I have never seen them participate in informatics-related topics and experiments.”
Principal Huang pondered: "Guess if the two of them participate in ACM, can they get back a global championship trophy?"
"Judging from the level of their operating system performance in high school, there should be a great chance, but it's hard to say, after all, they haven't touched programming for two or three years."
"The next ACM competition will be in May next year. They are still in their sophomore year. Ask them if they are interested. You can invite them to participate." President Huang made a decision.
"Okay, I'll keep that in mind. I'll ask them in person at that time. Maybe they're really interested. These two kids, who have learned so much and participated in so many topics. It’s fine to focus on mathematics and physics, but also engage in computational materials science and plant research topics, alas, sometimes I really don’t know what to say about them.”
Principal Huang said with a tolerant smile: "Young people, it's not a bad thing to have a wide range of interests. The key is that they have all made achievements. It is precisely because of their achievements in computational materials science and computational fluid dynamics that our school does not plan to reopen computational physics. and Computational Materials Science? Next year, if they are willing, I would like to hire them as lecturers for these two courses."
Gu Bojun couldn't help laughing: "You are going to rob people with Lao Qiu. Lao Qiu has been eyeing them for a long time. They will graduate in their sophomore year next year, and Lao Qiu will catch them and become a mathematics lecturer at Qiuzhen Academy. .”
Principal Huang sighed: "Talents are rare, especially Qin Ke, who is an all-around talent. Whether it is education, teacher education, or scientific research, they are all top-notch. And their character is even better. There is nothing to say. To be honest, I don’t know how to treat them well so that they can stay in Qingmu University for a long time. You must know how rich their Lime Technology is.”
Gu Bojun thinks so. Others may not know that Qin Ke and Ning Qingyun are behind Qingning Technology. How could they, who have been paying attention to them for a long time and have great social influence, not know?
They even know that the Lime Student Fund has subsidized five primary schools in the impoverished areas on the prairie this year, rebuilt the teaching buildings, and allowed hundreds of rural children to sit in bright and bright classrooms. These primary school students still have to study every month Subsidies until the end of college.
And these funds are said to all come from the exclusive donation of Qingning Technology, which is donated from the income of Qin Ke and Ning Qingyun's scientific research achievements.
That's a few billion...
There are many billionaires in Xia Guoli, but how many of them can use half of their wealth to donate to education like Qin Kening Qingyun?And it doesn't ask for anything in return, doesn't do publicity, and is very low-key.
This is a real act of kindness.
The hearts of these two children are more precious and brighter than gold!
To be honest, after knowing these things, Principal Huang and Gu Bojun both had the idea of publicizing the two children, but after deliberation, they finally dismissed the idea.
They respect the wishes of the two children and want to silently guard the wishes of the two children.
As far as they know, the higher-ups are actually aware of these situations, but also out of respect for the two children, they did not report, and even blocked many manuscripts that the media planned to publish.
Gu Bojun smiled lightly and said: "The two children are very affectionate. In fact, we don't need to do anything deliberately. We will continue to be like this, silently shielding them from the ups and downs of the outside world, and providing them with all the support they need, so that they can live with peace of mind. Just study, live, and do projects in school."
Principal Huang is actually aware of this, it was just a moment of emotion.
He got up, looked at the increasing number of running students on the campus playground, and remembered Qin Ke's unprecedented long-distance run during the military training in September last year. He couldn't help but joked: "The school sports meeting will be soon, listen Said that Qin Ke has applied for long-distance running, sprinting and long jumping? I wonder if he will run again to prove the truth, and solve the hail conjecture in one fell swoop?"
Gu Bojun Waner said: "Now there are enough students practicing long-distance running in our school. If Qin Ke has another long-distance running to prove the truth, I guess all the students in colleges and universities in the capital will practice long-distance running every day."
The two looked at each other and laughed at the same time, both thinking it was impossible.
……
Of course, Qin Ke wasn't on a long-distance run. He was sitting with Ning Qingyun in the cinema watching a sci-fi comedy movie, relaxing his tense spirit.
This is a movie that is said to have a box office of more than 30 billion. It tells the story of the protagonist staying on the moon by accident and living with a kangaroo.
It's quite an interesting story. Qin Ke and Ning Qingyun both wanted to laugh when they saw the phrase "Human beings are finally destroyed by mathematics". , and the two of them had hot eye sockets.
After watching the movie and having lunch, the sun was just right, and even the autumn wind seemed to be less chilly, so the two held hands and went to a newly opened small playground nearby.
Ning Qingyun has a quiet personality, so she doesn't like exciting projects, so Qin Ke took her to ride the Ferris wheel.
The two sat side by side in the Ferris wheel, looking down from the glass window, just in time to see a "big pendulum"-like pirate ship project, and the tourists screamed in excitement or fear.
Ning Qingjun felt sweaty palms just looking at it, and she couldn't help saying: "Qin Xiaoke, don't you think it's strange? Why would someone like such a dangerous and exciting game project?"
Qin Ke said with a smile: "Probably because of experiencing fear. Only after experiencing fear can we cherish the ordinary daily life and the life we take for granted."
Ning Qingyun thought of the movie she had just seen, and nodded deeply: "Indeed, loneliness and death can really make people reflect on the meaning of life and the value of existence." She read a line from the movie sadly: "I don't want to become a star, it's too far away from the one I love."
Sure enough, Xiaobaicai in her family is still a bit of a young girl.Qin Ke couldn't help laughing again, and read: "The Vega by the river, the Altair by the river. We haven't crossed the clear waters yet, and we look at each other from afar."
He held Ning Qingyun's little hand tightly and said: "The ancients in the past felt that the stars were very close, and they created many romantic myths and poems. It's just that modern science has become more advanced, and they know that the stars that seem to be very close are actually far apart. How many light years have passed, and this beautiful fantasy is missing. Jun'er, you are better than me in liberal arts, so aside from those scientific rationales, what can you imagine just by imagining from the sky full of stars?"
Ning Qingyun really supported her small chin and thought: "It should be a pattern. Every star is a point. If you connect different stars at will, there will be different patterns. Whatever pattern comes to mind, you can probably pass it. Outline the lines between the stars, after all, there are too many stars, too numerous to count."
Qin Ke laughed, stretched out his hand and pinched her pink face: "It seems that you have learned a lot of mathematics from me recently, and you are still used to thinking from the perspective of mathematics, connecting the stars at random..."
Halfway through speaking, Qin Ke suddenly froze.
Feel free to connect...
Now he and Ning Qingyun have turned the hail conjecture into countless points, and those points are the coordinates of each natural number transformed by the hail conjecture each time. Through the "lime number theory hypergeometric mapping method", these coordinates can be connected into The rising and falling curves, according to the relationship between these curves, form some equations, and finally use the method of finding real number solutions to prove the distribution law of the hail conjecture, and then prove that the hail conjecture is true under any natural number.
Qin Ke's biggest problem at present is that he has listed the differential equations in most cases and sought to understand them, but there are still some fish that slipped through the net and cannot establish the corresponding equations.
Now Ning Qingyun's unintentional words liberated his mind.
Yes, why do I keep drawing curves?Why can't it be concatenated as polygons?As long as the equation can be established and solved, it can be proved that the equation is valid, and then it can be proved that the distribution law of the hail conjecture is still valid under these special circumstances, so can’t the final conclusion be drawn?
Sparks of thinking kept flashing, and Qin Ke finally saw the direction of success.
Seeing that Qin Ke suddenly fell into deep thought without saying a word, Ning Qingyun blinked strangely, but she was very familiar with Qin Ke, so she guessed what he might be thinking, so she sat quietly by the side without speaking, The ferris wheel turned twice and returned to the original place. Normally, it was about to come down. Afraid of disturbing Qin Ke's thinking, Ning Qingyun took out a few hundred-yuan bills from his wallet, handed them to the staff who opened the door, and made a We also continue to sit gestures.
The staff are a little troubled.
Ning Qingjun said in a low voice: "There's no need to change, I'll give it all to you, let us sit a few more times."
The staff's eyes lit up, and they immediately closed the door of the Ferris wheel happily.
It was the first time for Ning Qingyun to do such a thing, and her little face was a little red. With her serious and disciplined personality, she would not have thought of this method at first, but after following Qin Ke for a long time, she naturally learned it. Many workarounds.
The two sat for seven laps before Qin Ke got up and said, "Let's go. Let's go back to school."
Ning Qingyun asked curiously, "Going back to school? Are you not going home?" Today is still Sunday afternoon, and the two usually return to the school dormitory after nine o'clock in the evening.
Qin Ke smiled, and said to himself: "I have probably found the last piece of the puzzle of Hail's conjecture. But I still need to run and draw the pattern on this puzzle completely!"
(End of this chapter)
Kiyoki University, President's Office.
The principal Huang Ruide is drinking tea and chatting with the vice principal Gu Bojun.
The two were high school classmates in the past, and they have worked together for many years. Huang Ruide is more powerful, but Gu Bojun is very good at getting along with people, so the two have always gotten along very well and cooperated well, and they have a good personal relationship. Whenever Principal Huang is on a business trip, he will temporarily entrust Gu Bojun to supervise the overall , which shows his trust in Gu Bojun.
Principal Huang listened to the noise of students coming from the playground in the distance, and asked with a smile, "Have Qin Ke and Ning Qingyun been a little quiet recently?"
Gu Bojun carefully filled Principal Huang with tea, and then smiled and said, "Do you think they are not used to it because they have not had any major incidents in the past three months since they returned to China after receiving the Cole Prize in Number Theory in August? "
"That's right. Apart from publishing papers in the "Acta Physica" and "Xiaguo Biology Journal" at the end of July, they have nothing new. Are they still working on the hail conjecture?"
Gu Bojun nodded and said: "It should be. After the final exam in July, I happened to meet Qin Ke. I asked him, and he said he didn't have a clue. Now it's been another three months, why don't I ask them how it's going?" ?”
Principal Huang waved his hand: "Forget it, don't ask them. The difficulty of hailstorm conjecture is too high. If I remember correctly, there was a famous foreign mathematician Ursit once said that the difficulty of hailstorm conjecture is almost as difficult as Fei's. Ma’s conjecture. Think about it, it took more than 300 years for Fermat’s conjecture to be proven, while Hailong’s conjecture is only 70 to [-] years old. No matter how powerful Qin Ke and Ning Qingyun are, they may not be able to prove it. And , They should have only started researching the hail conjecture in March and April this year, right? They didn’t have a clue in July, and now it’s only been more than three months, and it’s estimated that there’s not much progress, so asking them will put pressure on them.”
Gu Bojun nodded slightly.
Back then, Qin Ke and Ning Qingyun chose this hailstone conjecture as Qingba's common subject. Gu Bojun also checked a lot of information, and the more he checked, the more difficult it became to find this problem. Even Professor Tao, who is known as the "genius among mathematical geniuses," In the face of this hail conjecture, it is difficult to imagine how difficult the hail conjecture is. It is really not comparable to the Polignac conjecture.
It's just that Qin Ke and Ning Qingyun have won the Mathematics Breakthrough Award and the Cole Number Theory Award successively. They have long been famous mathematicians in the world, so Mr. Gu Bojun subconsciously expects them to continue to create new miracles.
The two chatted about the domestic EDA "Qiguang" released more than a month ago. After all, this is the result of the team led by professor Xu Qingyan of their school, which deserves attention and publicity.
"I heard that 'Qingguang EDA' is still being tested by major chip manufacturers, and the response is quite good. Xu Qingyan is indeed a student strongly recommended by Academician Jiang, and this time he really gave Qingmu University a big face. I It is still a miracle until now, the birth of domestic EDA is comparable to the birth of domestic operation."
As soon as this matter was mentioned, President Huang's face was full of smiles. Qingmu University has always been overwhelmed by Beiyan University in terms of computer science and informatics. It is the second child of Wannian. This time Qiguang EDA was born , It can be regarded as making Qingmu University proud in this regard.
He asked again: "Have the results of the ACM International Collegiate Programming Contest come out?"
"Oh, by the way, I almost forgot to report to you. The results came out yesterday." Gu Bojun said softly: "Our overall performance in Xia Country is not particularly outstanding. Our school's representative team only won the silver medal. Gold medal. Speaking of which, Xia Guo hasn’t touched the global championship trophy for more than ten years, and the last time it was won by Zhejiang University was 13 years ago.”
Principal Huang sighed slightly, he had already guessed that it would not be a good result, otherwise someone would have come to announce the good news immediately.
The ACM International Collegiate Programming Competition is the most influential programming competition for college students in the world, and it is also regarded as the vane of the country's future information science.As a school leader of a top domestic university, how could he not hope that his school can win the global championship in such a world-class competition?
It’s just that there is indeed a big gap between Kiyoki University and world-class universities in terms of informatics, and this gap cannot be bridged overnight.
Principal Huang remembered something: "Speaking of which, after Qin Ke and Ning Qingyun came to our school, didn't they have any contact with informatics? They were computer geniuses who developed the Lime operating system."
Gu Bojun is still very concerned about the two students, including their syllabus and transcripts will be read in detail, he recalled: "They have taken elective topics in informatics, such as artificial intelligence, graphics, chips, etc. Architecture, etc., but I have never seen them participate in informatics-related topics and experiments.”
Principal Huang pondered: "Guess if the two of them participate in ACM, can they get back a global championship trophy?"
"Judging from the level of their operating system performance in high school, there should be a great chance, but it's hard to say, after all, they haven't touched programming for two or three years."
"The next ACM competition will be in May next year. They are still in their sophomore year. Ask them if they are interested. You can invite them to participate." President Huang made a decision.
"Okay, I'll keep that in mind. I'll ask them in person at that time. Maybe they're really interested. These two kids, who have learned so much and participated in so many topics. It’s fine to focus on mathematics and physics, but also engage in computational materials science and plant research topics, alas, sometimes I really don’t know what to say about them.”
Principal Huang said with a tolerant smile: "Young people, it's not a bad thing to have a wide range of interests. The key is that they have all made achievements. It is precisely because of their achievements in computational materials science and computational fluid dynamics that our school does not plan to reopen computational physics. and Computational Materials Science? Next year, if they are willing, I would like to hire them as lecturers for these two courses."
Gu Bojun couldn't help laughing: "You are going to rob people with Lao Qiu. Lao Qiu has been eyeing them for a long time. They will graduate in their sophomore year next year, and Lao Qiu will catch them and become a mathematics lecturer at Qiuzhen Academy. .”
Principal Huang sighed: "Talents are rare, especially Qin Ke, who is an all-around talent. Whether it is education, teacher education, or scientific research, they are all top-notch. And their character is even better. There is nothing to say. To be honest, I don’t know how to treat them well so that they can stay in Qingmu University for a long time. You must know how rich their Lime Technology is.”
Gu Bojun thinks so. Others may not know that Qin Ke and Ning Qingyun are behind Qingning Technology. How could they, who have been paying attention to them for a long time and have great social influence, not know?
They even know that the Lime Student Fund has subsidized five primary schools in the impoverished areas on the prairie this year, rebuilt the teaching buildings, and allowed hundreds of rural children to sit in bright and bright classrooms. These primary school students still have to study every month Subsidies until the end of college.
And these funds are said to all come from the exclusive donation of Qingning Technology, which is donated from the income of Qin Ke and Ning Qingyun's scientific research achievements.
That's a few billion...
There are many billionaires in Xia Guoli, but how many of them can use half of their wealth to donate to education like Qin Kening Qingyun?And it doesn't ask for anything in return, doesn't do publicity, and is very low-key.
This is a real act of kindness.
The hearts of these two children are more precious and brighter than gold!
To be honest, after knowing these things, Principal Huang and Gu Bojun both had the idea of publicizing the two children, but after deliberation, they finally dismissed the idea.
They respect the wishes of the two children and want to silently guard the wishes of the two children.
As far as they know, the higher-ups are actually aware of these situations, but also out of respect for the two children, they did not report, and even blocked many manuscripts that the media planned to publish.
Gu Bojun smiled lightly and said: "The two children are very affectionate. In fact, we don't need to do anything deliberately. We will continue to be like this, silently shielding them from the ups and downs of the outside world, and providing them with all the support they need, so that they can live with peace of mind. Just study, live, and do projects in school."
Principal Huang is actually aware of this, it was just a moment of emotion.
He got up, looked at the increasing number of running students on the campus playground, and remembered Qin Ke's unprecedented long-distance run during the military training in September last year. He couldn't help but joked: "The school sports meeting will be soon, listen Said that Qin Ke has applied for long-distance running, sprinting and long jumping? I wonder if he will run again to prove the truth, and solve the hail conjecture in one fell swoop?"
Gu Bojun Waner said: "Now there are enough students practicing long-distance running in our school. If Qin Ke has another long-distance running to prove the truth, I guess all the students in colleges and universities in the capital will practice long-distance running every day."
The two looked at each other and laughed at the same time, both thinking it was impossible.
……
Of course, Qin Ke wasn't on a long-distance run. He was sitting with Ning Qingyun in the cinema watching a sci-fi comedy movie, relaxing his tense spirit.
This is a movie that is said to have a box office of more than 30 billion. It tells the story of the protagonist staying on the moon by accident and living with a kangaroo.
It's quite an interesting story. Qin Ke and Ning Qingyun both wanted to laugh when they saw the phrase "Human beings are finally destroyed by mathematics". , and the two of them had hot eye sockets.
After watching the movie and having lunch, the sun was just right, and even the autumn wind seemed to be less chilly, so the two held hands and went to a newly opened small playground nearby.
Ning Qingyun has a quiet personality, so she doesn't like exciting projects, so Qin Ke took her to ride the Ferris wheel.
The two sat side by side in the Ferris wheel, looking down from the glass window, just in time to see a "big pendulum"-like pirate ship project, and the tourists screamed in excitement or fear.
Ning Qingjun felt sweaty palms just looking at it, and she couldn't help saying: "Qin Xiaoke, don't you think it's strange? Why would someone like such a dangerous and exciting game project?"
Qin Ke said with a smile: "Probably because of experiencing fear. Only after experiencing fear can we cherish the ordinary daily life and the life we take for granted."
Ning Qingyun thought of the movie she had just seen, and nodded deeply: "Indeed, loneliness and death can really make people reflect on the meaning of life and the value of existence." She read a line from the movie sadly: "I don't want to become a star, it's too far away from the one I love."
Sure enough, Xiaobaicai in her family is still a bit of a young girl.Qin Ke couldn't help laughing again, and read: "The Vega by the river, the Altair by the river. We haven't crossed the clear waters yet, and we look at each other from afar."
He held Ning Qingyun's little hand tightly and said: "The ancients in the past felt that the stars were very close, and they created many romantic myths and poems. It's just that modern science has become more advanced, and they know that the stars that seem to be very close are actually far apart. How many light years have passed, and this beautiful fantasy is missing. Jun'er, you are better than me in liberal arts, so aside from those scientific rationales, what can you imagine just by imagining from the sky full of stars?"
Ning Qingyun really supported her small chin and thought: "It should be a pattern. Every star is a point. If you connect different stars at will, there will be different patterns. Whatever pattern comes to mind, you can probably pass it. Outline the lines between the stars, after all, there are too many stars, too numerous to count."
Qin Ke laughed, stretched out his hand and pinched her pink face: "It seems that you have learned a lot of mathematics from me recently, and you are still used to thinking from the perspective of mathematics, connecting the stars at random..."
Halfway through speaking, Qin Ke suddenly froze.
Feel free to connect...
Now he and Ning Qingyun have turned the hail conjecture into countless points, and those points are the coordinates of each natural number transformed by the hail conjecture each time. Through the "lime number theory hypergeometric mapping method", these coordinates can be connected into The rising and falling curves, according to the relationship between these curves, form some equations, and finally use the method of finding real number solutions to prove the distribution law of the hail conjecture, and then prove that the hail conjecture is true under any natural number.
Qin Ke's biggest problem at present is that he has listed the differential equations in most cases and sought to understand them, but there are still some fish that slipped through the net and cannot establish the corresponding equations.
Now Ning Qingyun's unintentional words liberated his mind.
Yes, why do I keep drawing curves?Why can't it be concatenated as polygons?As long as the equation can be established and solved, it can be proved that the equation is valid, and then it can be proved that the distribution law of the hail conjecture is still valid under these special circumstances, so can’t the final conclusion be drawn?
Sparks of thinking kept flashing, and Qin Ke finally saw the direction of success.
Seeing that Qin Ke suddenly fell into deep thought without saying a word, Ning Qingyun blinked strangely, but she was very familiar with Qin Ke, so she guessed what he might be thinking, so she sat quietly by the side without speaking, The ferris wheel turned twice and returned to the original place. Normally, it was about to come down. Afraid of disturbing Qin Ke's thinking, Ning Qingyun took out a few hundred-yuan bills from his wallet, handed them to the staff who opened the door, and made a We also continue to sit gestures.
The staff are a little troubled.
Ning Qingjun said in a low voice: "There's no need to change, I'll give it all to you, let us sit a few more times."
The staff's eyes lit up, and they immediately closed the door of the Ferris wheel happily.
It was the first time for Ning Qingyun to do such a thing, and her little face was a little red. With her serious and disciplined personality, she would not have thought of this method at first, but after following Qin Ke for a long time, she naturally learned it. Many workarounds.
The two sat for seven laps before Qin Ke got up and said, "Let's go. Let's go back to school."
Ning Qingyun asked curiously, "Going back to school? Are you not going home?" Today is still Sunday afternoon, and the two usually return to the school dormitory after nine o'clock in the evening.
Qin Ke smiled, and said to himself: "I have probably found the last piece of the puzzle of Hail's conjecture. But I still need to run and draw the pattern on this puzzle completely!"
(End of this chapter)
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