From Almighty Scholar to Chief Scientist
Chapter 472 Important Achievements at the Closing Ceremony
Chapter 472 Important Achievements at the Closing Ceremony
The scene of the closing ceremony of the International Congress of Mathematicians
Everyone present couldn't help laughing when they heard Lin Xiao complain about how it was so easy to achieve surprising results.
Indeed, Tao Zhexuan's joke can only be heard as a joke.
It would be outrageous if this kind of result could be achieved so easily.
Especially Lin Xiao is obviously still researching battery technology recently.
These mathematicians have also more or less learned about the recent battery issues, so they also know about the dispute between Lin Xiao and Panasonic Group over batteries.
Of course, this group of mathematicians will understand this kind of thing, the main reason is Lin Xiao, they are clearly a top mathematician, but they are also a top physicist, chemist, material scientist I am very interested in things, so it is normal to pay attention.
But battery research is so troublesome, what else can Lin Xiao come up with in mathematics while researching this thing?
Impossible, absolutely impossible!
"Huh? Seems like it's gone?"
At this moment, Lin Xiao's voice suddenly sounded again.
The venue, which was originally full of joy, suddenly came to an abrupt end because of Lin Xiao's words.
What did Lin Xiao's words... mean?
The laughter of Tao Zhexuan standing on the stage also stopped suddenly, and a kind of disbelief emerged in his heart.
"Uh... Lin, please tell me again, what are you talking about?"
The people present held their breath again, waiting quietly for Lin Xiao's answer.
And Lin Xiao repeated it again at this time: "Uh, let me say, if you want to talk about amazing achievements, it seems that I just happen to have one here?"
Hearing these words from Lin Xiao's mouth, everyone present showed shocked expressions.
Good guy, when Lin Xiao was really researching battery technology, he made another important achievement?
"Uh..." Tao Zhexuan shook his head helplessly, and then said: "Well, I thought this was just a chance for us to greet you collectively, and by the way, let you, uh... also be able to participate in this year's event in this way. In the conference, but now it seems that we are going to get another surprise."
But then he just smiled and said: "Of course, as a person who studies mathematics, I don't want to not be curious about what the result is when I hear a result that can surprise me. Do you all think so, too?"
As he spoke, he also turned his head and glanced at the mathematicians present.
The mathematicians in the auditorium nodded one after another, and a mathematician sitting in the first row also stood up and shouted: "Lin, don't be a fool, tell me quickly, what do you have?" What happened?"
This mathematician is Pierre Deligne.
For mathematicians like them, they can be envious and jealous of Lin Xiao's many achievements, but when faced with Lin Xiao's achievements, they can't wait to see what Lin Xiao has made again what is it.
After all, although in the past when Lin Xiao made results, mathematicians who studied the same subject would complain for a while, because once Lin Xiao made results, it often meant that their efforts were in vain, but the same, when Lin Xiao really After they come up with results, they can also bring more value to their mathematics community, so they still hope that Lin Xiao can really bring some important results.
Lin Xiao, who was on the other side of the screen, saw Deligne standing up, and greeted him with a smile: "Oh, Professor Deligne, nice to see you."
"Well, in fact, it may not be a mathematical theory, or some important equations, methods, etc., as everyone thinks."
"Tao, then I will trouble you to show this function to everyone."
As he said that, Lin Xiao picked up a piece of draft paper in his hand, and what was written on it was the one-way function he accidentally discovered just now.
Tao Zhexuan nodded, and then presented the function shown by Lin Xiao on the big screen behind him.
In this way, everyone in the audience can see this function.
Of course, many people are also confused. Is there anything wrong with this function?That is to say, the part of f(x) is a bit too complicated, and they can also see some traces of physics in it. If the people present have studied quantum mechanics, it is easy to see that this function has something to do with quantum mechanics. relation.
However, the question now is, what does this function represent?
While most mathematicians are still thinking while frowning, some top mathematicians have already seen something.
For example, Terence Tao standing on the stage.
As the first person in the audience to see the function given by Lin Xiao, he naturally began to think about it from the first sight.
At the same time, as Tao who knows a little bit about everything, he happened to have done some research on quantum mechanics and the P=NP problem, so his face finally became uneasy.
"Wait, this function, is it... wrong, it needs to be verified again."
He muttered to himself, and then looked at the function again, wanting to verify it again.
And at this moment, Lin Xiao said: "As you can see, this function is the surprising result I want to talk about."
"Because if I'm not mistaken, it should successfully solve a millennium puzzle."
"That's the P=NP problem."
Hearing Lin Xiao's words, everyone present was shocked again.
Many mathematicians sat up straight away.
Lin Xiao actually solved the P=NP problem?
The difficulty of the P=NP problem is needless to say, because compared with other problems, it is a little unclear which direction to start to realize the proof. From the perspective of starting, it is not too clear, but For example, other problems are different. Although the difficulty of solving is not low, the angle of starting is relatively clear.
Therefore, when they heard that Lin Xiao had solved the problem, they were all incredulous.
Of course, many of them subconsciously thought that the solution Lin Xiao mentioned meant proof, after all, it was out of habit.
And this also made many people present feel absurd. Can the P=NP problem really be proved?
For many people who study cryptography, this is like a bolt from the blue. After all, cryptography is based on the premise that P is not equal to NP. Their previous hard research, and cryptography Could it be that the cornerstone laid for nearly 100 years has all been in vain?
And most importantly, the collapse of cryptography will eventually evolve into the collapse of modern information technology.
After all, when all passwords can be easily cracked, how many people dare to keep their privacy on the Internet?
Of course, let’s forget about these privacy matters, as it is said now, once cryptography collapses, the world’s financial industry will be the most dangerous. After all, at this time, cryptography can no longer guarantee the safety of property. All banks will face the risk of bankruptcy.
The reserve requirement ratios of banks around the world are generally maintained at single-digit percentage points. Can only file for bankruptcy.
And once the bank goes bankrupt, capital operation will become empty talk, and the company will not be able to pay wages, because the money of the company is also stored in the bank. At that time, it is not impossible for the world to directly fall into a nuclear war.
Thinking of this, many cryptography experts who are well aware of the harm suddenly felt a burst of panic in their hearts, and even began to blame Lin Xiao in their hearts. Why did they show this thing in front of such a large audience?
Even if he is the only one who knows, it will not cause such consequences.
However, just when a large group of cryptography experts were worried that the world would be destroyed because of this, suddenly, Tao Zhexuan's words brought them back to reality from the disaster movie.
"You mean, you falsified the P=NP problem? And this function is a one-way function?"
Tao Zhexuan's words finally woke up everyone present.
Oh yes!
A function that seems to be a little more complicated, why can it prove the P=NP problem.
Therefore, there is only one way out of falsification.
Thinking of this, the cryptographers who were still worrying were relieved, and then looked at the function given by Lin Xiao again.
This function is actually a one-way function?
Because it involves some quantum mechanics, it is still somewhat incomprehensible to most cryptography mathematicians. After all, not everyone knows everything like Terence Tao.
However, for these cryptographers, this is a one-way function after all. As an open problem in cryptography, or informatics, there are quite a lot of people who are interested in this thing, so They also try their best to understand this one-way function, see if they can recreate some one-way functions based on this one-way function, and finally create a new password based on it.
Because obviously, using a one-way function as a password is far more secure than using other ordinary functions as a password. After all, this is a password that even P=NP cannot crack.
Of course, Lin Xiao definitely does not know the thoughts of these cryptography experts now, and if he really proves that P=NP, he will definitely not announce it, because he naturally knows that once the cryptography collapses How will it affect the world.
After hearing Tao Zhexuan's words, he smiled and said, "Yes, this is a one-way function."
"As you can see, now we input a function value into it, for example, let X equal to 1, and substitute it in to calculate the value of y, we can easily get the value of y, but at this time if we put the value of y After substituting it in to find the value of x, we were surprised to find that the final calculated value was not 1! It was other values!"
"At this time, we will substitute the other calculated values into the value of x, and the final calculated y is another value!"
"And this is obviously a one-way function."
"So now we can easily give a proof that P is not equal to NP, the edifice of cryptography is still intact, and its firmness has been successfully proved, so some friends who study cryptography in the field, can Celebrated for that."
Lin Xiao's words came from the microphone in Tao Zhexuan's mobile phone, and then passed through the microphone at the conference site to the ears of all the mathematicians present.
These mathematicians couldn't help sighing in their hearts, since Lin Xiao said so, it seems that there is no need to feel any doubts.
Of course, the most important thing is that there is nothing to be confused about, because the function given by Lin Xiao is very simple to verify. You just need to see if it can be as Lin Xiao said, from the value of y. Get the original x value, and even get a wrong x value.
Tao Zhexuan couldn't help but sighed with emotion: "Well, then congratulations to our respected Dr. Lin, who once again successfully solved a Millennium Award problem."
"But to be honest, I'm still curious. What did you seem to say just now? You just happened to have this 'surprising achievement'? What do you mean by this sentence?"
"It's literally because I discovered this magical function for a while, and then you called me and let me participate in our National Mathematicians Conference in this way." Lin Xiao couldn't help but sigh: "What a coincidence."
Hearing Lin Xiao's explanation, the people present immediately showed speechless expressions.
What is all this?
Just in time to make a phone call, and just in time for another Millennium Prize puzzle to be solved?
This is too coincidental, right?
At this time, Lin Xiao asked again: "By the way, speaking of it, I am also curious about why you are standing on the stage now?"
"Uh... I'm on stage because I'm giving the closing speech."
Tao Zhexuan's face was also full of helplessness, who would have thought that such a thing would happen?
When he was giving a speech, because he thought of Lin Xiao, he proposed to call Lin Xiao, so that he could also feel the atmosphere of their current mathematician conference, and this was also supported by everyone.
For the vast majority of people who study mathematics, there is no one who does not respect Lin Xiao, just like the original mathematics emperor Grothendieck, so let thousands of them prepare such a project for Lin Xiao alone, no one I would question that this is the treatment that Lin Xiao should enjoy.
However, who would have thought that such a good project they prepared would have such a plot.
Let Lin Xiao show off in front of them again.
Although Lin Xiao only gave a function, but this is the solution to this millennium problem after all, so this is still an important honor.
And this function does not mean that it is just a function.
After all, as the first one-way function discovered in the history of mathematics, the significance of this function must not only solve a millennium problem. The significance of the one-way function to cryptography is the most important of.
Thinking of this, they didn't know whether to congratulate or envy or hate.
In the end, Tao Zhexuan stopped discussing this matter with Lin Xiao, and began to tease: "However, having said that, the current Cray Research Institute already owes you a lot of money, right?"
Lin Xiao laughed: "That's true, but it depends on whether the Cray Research Institute is willing to come to China to hold this award ceremony. If so, I still welcome it."
"Then I hope Mr. Clay can think about it." Terence Tao also smiled.
The mathematicians present also laughed in the same way.
After that, there was almost nothing to talk about, so Lin Xiao naturally didn't delay their closing ceremony any longer.
He then said: "Okay, friends, thank you for giving me such treatment. I am very touched, and at the same time I also have a sense of honor. Of course, I also know that your closing ceremony will still be held, so don't worry about it." I wasted time."
"Thank you everyone, and I wish our mathematics can interpret all the truths of this universe in the future, goodbye!"
"goodbye!"
Hearing Lin Xiao's farewell, all the mathematicians present waved to Lin Xiao and said goodbye.
And Tao Zhexuan also said goodbye with a smile: "Okay, then goodbye, Lin, I hope we can meet sooner."
Lin Xiao smiled and said, "You all vote to come to Beijing to hold the next conference, and we will definitely be able to meet."
"Haha, this is a good proposal. I hope our World Mathematical Union can consider your proposal."
Terence Tao said.
"Hopefully."
Then, they saw Lin Xiao hang up the video call with a smile on his face.
Putting the phone back, Tao Zhexuan looked at the people present again, spread his hands for the last time, and smiled helplessly: "It seems that Lin is still the same Lin, and his record is still maintained."
The other people also had helpless smiles on their faces.
Indeed, Lin Xiao is still the same Lin Xiao, and has never changed.
Even in this closing ceremony, he kept his record.
It seems that this International Conference of Mathematicians will also leave a deep impression on their minds.
……
On the other side, in Lin Xiao's office.
After hanging up the video, he still couldn't help feeling emotional. He didn't expect that one day, he would be able to appear on the International Congress of Mathematicians in this way.
It's really a bit of a surprise.
But at this moment, he remembered what the system said just now.
Suddenly, he frowned again.
"System, system, what do you mean? What has been falsified, can it be proven again?"
"Or, from a certain point of view, this function is not actually a one-way function?"
He didn't know how to understand such an unbelievable thing.
[There is another chapter, because there is no manuscript saved, so it will probably be until two o'clock]
(End of this chapter)
The scene of the closing ceremony of the International Congress of Mathematicians
Everyone present couldn't help laughing when they heard Lin Xiao complain about how it was so easy to achieve surprising results.
Indeed, Tao Zhexuan's joke can only be heard as a joke.
It would be outrageous if this kind of result could be achieved so easily.
Especially Lin Xiao is obviously still researching battery technology recently.
These mathematicians have also more or less learned about the recent battery issues, so they also know about the dispute between Lin Xiao and Panasonic Group over batteries.
Of course, this group of mathematicians will understand this kind of thing, the main reason is Lin Xiao, they are clearly a top mathematician, but they are also a top physicist, chemist, material scientist I am very interested in things, so it is normal to pay attention.
But battery research is so troublesome, what else can Lin Xiao come up with in mathematics while researching this thing?
Impossible, absolutely impossible!
"Huh? Seems like it's gone?"
At this moment, Lin Xiao's voice suddenly sounded again.
The venue, which was originally full of joy, suddenly came to an abrupt end because of Lin Xiao's words.
What did Lin Xiao's words... mean?
The laughter of Tao Zhexuan standing on the stage also stopped suddenly, and a kind of disbelief emerged in his heart.
"Uh... Lin, please tell me again, what are you talking about?"
The people present held their breath again, waiting quietly for Lin Xiao's answer.
And Lin Xiao repeated it again at this time: "Uh, let me say, if you want to talk about amazing achievements, it seems that I just happen to have one here?"
Hearing these words from Lin Xiao's mouth, everyone present showed shocked expressions.
Good guy, when Lin Xiao was really researching battery technology, he made another important achievement?
"Uh..." Tao Zhexuan shook his head helplessly, and then said: "Well, I thought this was just a chance for us to greet you collectively, and by the way, let you, uh... also be able to participate in this year's event in this way. In the conference, but now it seems that we are going to get another surprise."
But then he just smiled and said: "Of course, as a person who studies mathematics, I don't want to not be curious about what the result is when I hear a result that can surprise me. Do you all think so, too?"
As he spoke, he also turned his head and glanced at the mathematicians present.
The mathematicians in the auditorium nodded one after another, and a mathematician sitting in the first row also stood up and shouted: "Lin, don't be a fool, tell me quickly, what do you have?" What happened?"
This mathematician is Pierre Deligne.
For mathematicians like them, they can be envious and jealous of Lin Xiao's many achievements, but when faced with Lin Xiao's achievements, they can't wait to see what Lin Xiao has made again what is it.
After all, although in the past when Lin Xiao made results, mathematicians who studied the same subject would complain for a while, because once Lin Xiao made results, it often meant that their efforts were in vain, but the same, when Lin Xiao really After they come up with results, they can also bring more value to their mathematics community, so they still hope that Lin Xiao can really bring some important results.
Lin Xiao, who was on the other side of the screen, saw Deligne standing up, and greeted him with a smile: "Oh, Professor Deligne, nice to see you."
"Well, in fact, it may not be a mathematical theory, or some important equations, methods, etc., as everyone thinks."
"Tao, then I will trouble you to show this function to everyone."
As he said that, Lin Xiao picked up a piece of draft paper in his hand, and what was written on it was the one-way function he accidentally discovered just now.
Tao Zhexuan nodded, and then presented the function shown by Lin Xiao on the big screen behind him.
In this way, everyone in the audience can see this function.
Of course, many people are also confused. Is there anything wrong with this function?That is to say, the part of f(x) is a bit too complicated, and they can also see some traces of physics in it. If the people present have studied quantum mechanics, it is easy to see that this function has something to do with quantum mechanics. relation.
However, the question now is, what does this function represent?
While most mathematicians are still thinking while frowning, some top mathematicians have already seen something.
For example, Terence Tao standing on the stage.
As the first person in the audience to see the function given by Lin Xiao, he naturally began to think about it from the first sight.
At the same time, as Tao who knows a little bit about everything, he happened to have done some research on quantum mechanics and the P=NP problem, so his face finally became uneasy.
"Wait, this function, is it... wrong, it needs to be verified again."
He muttered to himself, and then looked at the function again, wanting to verify it again.
And at this moment, Lin Xiao said: "As you can see, this function is the surprising result I want to talk about."
"Because if I'm not mistaken, it should successfully solve a millennium puzzle."
"That's the P=NP problem."
Hearing Lin Xiao's words, everyone present was shocked again.
Many mathematicians sat up straight away.
Lin Xiao actually solved the P=NP problem?
The difficulty of the P=NP problem is needless to say, because compared with other problems, it is a little unclear which direction to start to realize the proof. From the perspective of starting, it is not too clear, but For example, other problems are different. Although the difficulty of solving is not low, the angle of starting is relatively clear.
Therefore, when they heard that Lin Xiao had solved the problem, they were all incredulous.
Of course, many of them subconsciously thought that the solution Lin Xiao mentioned meant proof, after all, it was out of habit.
And this also made many people present feel absurd. Can the P=NP problem really be proved?
For many people who study cryptography, this is like a bolt from the blue. After all, cryptography is based on the premise that P is not equal to NP. Their previous hard research, and cryptography Could it be that the cornerstone laid for nearly 100 years has all been in vain?
And most importantly, the collapse of cryptography will eventually evolve into the collapse of modern information technology.
After all, when all passwords can be easily cracked, how many people dare to keep their privacy on the Internet?
Of course, let’s forget about these privacy matters, as it is said now, once cryptography collapses, the world’s financial industry will be the most dangerous. After all, at this time, cryptography can no longer guarantee the safety of property. All banks will face the risk of bankruptcy.
The reserve requirement ratios of banks around the world are generally maintained at single-digit percentage points. Can only file for bankruptcy.
And once the bank goes bankrupt, capital operation will become empty talk, and the company will not be able to pay wages, because the money of the company is also stored in the bank. At that time, it is not impossible for the world to directly fall into a nuclear war.
Thinking of this, many cryptography experts who are well aware of the harm suddenly felt a burst of panic in their hearts, and even began to blame Lin Xiao in their hearts. Why did they show this thing in front of such a large audience?
Even if he is the only one who knows, it will not cause such consequences.
However, just when a large group of cryptography experts were worried that the world would be destroyed because of this, suddenly, Tao Zhexuan's words brought them back to reality from the disaster movie.
"You mean, you falsified the P=NP problem? And this function is a one-way function?"
Tao Zhexuan's words finally woke up everyone present.
Oh yes!
A function that seems to be a little more complicated, why can it prove the P=NP problem.
Therefore, there is only one way out of falsification.
Thinking of this, the cryptographers who were still worrying were relieved, and then looked at the function given by Lin Xiao again.
This function is actually a one-way function?
Because it involves some quantum mechanics, it is still somewhat incomprehensible to most cryptography mathematicians. After all, not everyone knows everything like Terence Tao.
However, for these cryptographers, this is a one-way function after all. As an open problem in cryptography, or informatics, there are quite a lot of people who are interested in this thing, so They also try their best to understand this one-way function, see if they can recreate some one-way functions based on this one-way function, and finally create a new password based on it.
Because obviously, using a one-way function as a password is far more secure than using other ordinary functions as a password. After all, this is a password that even P=NP cannot crack.
Of course, Lin Xiao definitely does not know the thoughts of these cryptography experts now, and if he really proves that P=NP, he will definitely not announce it, because he naturally knows that once the cryptography collapses How will it affect the world.
After hearing Tao Zhexuan's words, he smiled and said, "Yes, this is a one-way function."
"As you can see, now we input a function value into it, for example, let X equal to 1, and substitute it in to calculate the value of y, we can easily get the value of y, but at this time if we put the value of y After substituting it in to find the value of x, we were surprised to find that the final calculated value was not 1! It was other values!"
"At this time, we will substitute the other calculated values into the value of x, and the final calculated y is another value!"
"And this is obviously a one-way function."
"So now we can easily give a proof that P is not equal to NP, the edifice of cryptography is still intact, and its firmness has been successfully proved, so some friends who study cryptography in the field, can Celebrated for that."
Lin Xiao's words came from the microphone in Tao Zhexuan's mobile phone, and then passed through the microphone at the conference site to the ears of all the mathematicians present.
These mathematicians couldn't help sighing in their hearts, since Lin Xiao said so, it seems that there is no need to feel any doubts.
Of course, the most important thing is that there is nothing to be confused about, because the function given by Lin Xiao is very simple to verify. You just need to see if it can be as Lin Xiao said, from the value of y. Get the original x value, and even get a wrong x value.
Tao Zhexuan couldn't help but sighed with emotion: "Well, then congratulations to our respected Dr. Lin, who once again successfully solved a Millennium Award problem."
"But to be honest, I'm still curious. What did you seem to say just now? You just happened to have this 'surprising achievement'? What do you mean by this sentence?"
"It's literally because I discovered this magical function for a while, and then you called me and let me participate in our National Mathematicians Conference in this way." Lin Xiao couldn't help but sigh: "What a coincidence."
Hearing Lin Xiao's explanation, the people present immediately showed speechless expressions.
What is all this?
Just in time to make a phone call, and just in time for another Millennium Prize puzzle to be solved?
This is too coincidental, right?
At this time, Lin Xiao asked again: "By the way, speaking of it, I am also curious about why you are standing on the stage now?"
"Uh... I'm on stage because I'm giving the closing speech."
Tao Zhexuan's face was also full of helplessness, who would have thought that such a thing would happen?
When he was giving a speech, because he thought of Lin Xiao, he proposed to call Lin Xiao, so that he could also feel the atmosphere of their current mathematician conference, and this was also supported by everyone.
For the vast majority of people who study mathematics, there is no one who does not respect Lin Xiao, just like the original mathematics emperor Grothendieck, so let thousands of them prepare such a project for Lin Xiao alone, no one I would question that this is the treatment that Lin Xiao should enjoy.
However, who would have thought that such a good project they prepared would have such a plot.
Let Lin Xiao show off in front of them again.
Although Lin Xiao only gave a function, but this is the solution to this millennium problem after all, so this is still an important honor.
And this function does not mean that it is just a function.
After all, as the first one-way function discovered in the history of mathematics, the significance of this function must not only solve a millennium problem. The significance of the one-way function to cryptography is the most important of.
Thinking of this, they didn't know whether to congratulate or envy or hate.
In the end, Tao Zhexuan stopped discussing this matter with Lin Xiao, and began to tease: "However, having said that, the current Cray Research Institute already owes you a lot of money, right?"
Lin Xiao laughed: "That's true, but it depends on whether the Cray Research Institute is willing to come to China to hold this award ceremony. If so, I still welcome it."
"Then I hope Mr. Clay can think about it." Terence Tao also smiled.
The mathematicians present also laughed in the same way.
After that, there was almost nothing to talk about, so Lin Xiao naturally didn't delay their closing ceremony any longer.
He then said: "Okay, friends, thank you for giving me such treatment. I am very touched, and at the same time I also have a sense of honor. Of course, I also know that your closing ceremony will still be held, so don't worry about it." I wasted time."
"Thank you everyone, and I wish our mathematics can interpret all the truths of this universe in the future, goodbye!"
"goodbye!"
Hearing Lin Xiao's farewell, all the mathematicians present waved to Lin Xiao and said goodbye.
And Tao Zhexuan also said goodbye with a smile: "Okay, then goodbye, Lin, I hope we can meet sooner."
Lin Xiao smiled and said, "You all vote to come to Beijing to hold the next conference, and we will definitely be able to meet."
"Haha, this is a good proposal. I hope our World Mathematical Union can consider your proposal."
Terence Tao said.
"Hopefully."
Then, they saw Lin Xiao hang up the video call with a smile on his face.
Putting the phone back, Tao Zhexuan looked at the people present again, spread his hands for the last time, and smiled helplessly: "It seems that Lin is still the same Lin, and his record is still maintained."
The other people also had helpless smiles on their faces.
Indeed, Lin Xiao is still the same Lin Xiao, and has never changed.
Even in this closing ceremony, he kept his record.
It seems that this International Conference of Mathematicians will also leave a deep impression on their minds.
……
On the other side, in Lin Xiao's office.
After hanging up the video, he still couldn't help feeling emotional. He didn't expect that one day, he would be able to appear on the International Congress of Mathematicians in this way.
It's really a bit of a surprise.
But at this moment, he remembered what the system said just now.
Suddenly, he frowned again.
"System, system, what do you mean? What has been falsified, can it be proven again?"
"Or, from a certain point of view, this function is not actually a one-way function?"
He didn't know how to understand such an unbelievable thing.
[There is another chapter, because there is no manuscript saved, so it will probably be until two o'clock]
(End of this chapter)
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