One day in 1976, the front page of the Washington Post ran a math news.

The article recounts the story of how in the mid-70s, on the campuses of prestigious universities in the United States, people were like crazy, working day and night, forgetting to sleep and eat a game of math. The game is very simple: write an arbitrary natural number N(N≠0) and transform it according to the following rules:

If it's an odd number, the next step becomes 3N+1.

If it's an even number, the next step becomes N/2.

Not only students, but also teachers, researchers, professors, and scholars have joined in.

Why has the charm of this game endured? Because it has been discovered that no matter what a non-zero natural number N is, it will eventually be able to escape back to rock bottom1. To be precise, it is impossible to escape the 4-2-1 cycle that falls to the bottom, and it will never be able to escape such fate.

Each person can start with any positive integer and do the following operations in succession, multiply the number by 3 and add 1 if it is an odd number, and divide the number by 2 if it is an even number.

The calculation goes on until you get 1 for the first time.

Is it possible to get 1 for every positive integer according to this rule? This is the Sygura conjecture, also known as the "hail conjecture and the Kakutani conjecture", which is an interesting '3X+1' problem in mathematics, including the later Cratz problem.

Abroad, I like to call the '3X+1' problem the Sygura conjecture or the hail conjecture, and in China, I call it the 'Kakutani conjecture', because it is a person named Kakutani who spreads the problem to China.

This question sounds simple, but it is not easy to prove.

For decades, many top mathematicians have put a lot of effort into making rigorous proofs.

So conjectures are still just conjectures.

......

When Li Yi talked about Zhao Yi's process, he used part of the Kakutani conjecture, which made the people in the venue feel that there was a theoretical loophole in the 'effective and irrelevant carry method'.

Unless one day the Kakutani conjecture is proven, there will always be a 'possible' loophole in the 'valid vs. irrelevant carry method'.

Therefore, mathematical theory is the foundation of all science.

What the people in the venue didn't expect was that Zhao Yi's reaction turned out to be to thank Professor Li Yilai excitedly, and also said, 'I didn't find out that I proved the Kakutani conjecture'?

It's a striking turn.

The crowd around them had grown their mouths and didn't know what to do.

After Zhao Yi thanked Professor Li Yilai, he returned to the stage with excitement on his face, and in the face of a puzzled and curious gaze, he did not talk about the Kakutani conjecture again, but continued to talk about the 'effective and irrelevant carry method'.

This is almost the end.

The proof step, which includes the 'Kakutani conjecture', is the most critical part of the 'valid and irrelevant carry method', and once the steps have passed, the rest is easy to understand.

“...... So we can be sure that this step is detrimental to the overall progress, and we can choose to give up!"

"That's my effective vs. irrelevant carry method!"

"The above is my proof!"

"Thank you!"

After Zhao Yi finished the last sentence, he took two steps back and bowed politely, and then there was violent applause in the venue.

The presentation was a success.

Although it is doubtful whether the 'Kakutani conjecture' has been proven, even if the 'Kakutani conjecture' has not been proved, because the computer performance does not involve theoretically possible 'counterexamples', the 'valid and irrelevant carry method' can certainly be used.

This is what matters most in the computer industry.

Computer algorithms don't need to be 'perfect and accurate', just like any software has vulnerabilities, and the purpose of computer algorithms is to actually be used, not to be theoretically perfect.

No one can guarantee that the car is 100% free of problems, and an artificial intelligence translator that does not require perfect translation ability can ensure that the accuracy rate is more than 90% successful.

The computer algorithm is the bottom layer, and the accuracy rate is required to be higher, but only the possibility of 'inaccuracy' in the theory is equal to 100% accuracy.

So the 'effective vs. irrelevant carry method' is already a very perfect algorithm.

End of presentation.

No one left in the venue, everyone was still sitting in their seats, and they all looked at Zhao Yi who walked off the stage curiously, they all wanted to know the question just now, "Did he really prove the Kakutani conjecture?"

They want answers.

Of course, Zhao Yi knows what everyone thinks, but it is impossible for him to prove a mathematical conjecture in detail in the speech of 'effective and irrelevant carry method', and the reason why he is very excited is also to mean that the proof of mathematical conjecture is of great significance.

The "effective and irrelevant carry method" is just a computer algorithm, and no matter how exquisite the process is and how broad the application range is, most ordinary people will not care about it at all.

Mathematical conjectures are different.

If a mathematical conjecture is proven, his name may appear in the mathematics textbooks of primary and secondary schools.

Make a name in history!

The graduate building of Yanhua University, where he is now speaking, is obviously not a suitable venue for demonstrating mathematical conjectures, not to mention, he has not written relevant papers and has not made direct submissions.

In case of......

A shameless guy who has seen the whole process well and quickly sorted out and submitted the manuscript, and the copyright of the proof cannot be guaranteed.

The probability of such a thing happening is not small, after all, the mathematical conjecture proves to be of great significance.

Zhao Yi looked at the eyes of the audience, he thought about it carefully, but returned to the stage and said, "Next, I will show you the proof idea of Kakutani's conjecture!"

Suddenly.

Everybody's in good spirits.

Some people think that Zhao Yi is talking big, but it's not big, you can only be sure if you have heard it.

The venue was silent.

"There may be many ways to prove a math problem, and my way of proving it is to use the binary thinking of a computer. ”

Zhao Yi went to the blackboard and wrote a number--

11011。

This is the binary number 27.

In the Kakutani conjecture, 27 is a very 'strong' number, it looks a little unimpressive, but according to the calculation method of the Kakutani conjecture, it takes 77 steps to reach the peak of 9232, and then after 32 years to reach the valley value of 1, the whole transformation process takes 111 steps, and its peak is 9232, which is more than 342 times that of the original number 27.

Next, Zhao Yi began to calculate 27 in the way of calculus '3X+1', the difference is that every number he wrote was represented in binary, and he wrote more than 100 binary numbers in a row, arranging the blackboard to the full.

Everyone in the audience had a headache to watch, and the blackboard was full of either 1 or 0, as if they were drawing.

During the whole process of the calculation, the only thing that everyone in the audience was sure of was that Zhao Yi was really a super genius of 'binary', even if it was more than a thousand four-digit numbers, he could even write the converted binary numbers in one go.

After Zhao Yi finished the calculation, he smiled at the audience and said, "My idea of proving the Kakutani conjecture is to calculate and prove it in the form of binary numbers. Because of the time, I won't bother you. ”

"That's all for today's speech!"

"Thank you!"

......

Everyone in the venue was a little confused.

They thought that Zhao Yi was going to prove Kakutani's conjecture on the spot, but they didn't expect it to end just after a beginning?

That's ...... Eunuchs?

Many people have the urge to vomit blood!

At this time, someone remembered that Zhao Yi was talking about 'proof ideas', not the entire proof process.

If Zhao Yi really proved Kakutani, it would be quite good to give a proof idea to this venue that had no impact, but if it was someone else, he wouldn't even say a word, and when he was sure that the paper was published and recognized by the World Mathematical Association, he would give speeches everywhere and choose a bigger stage.

Zhao Yi stepped down and was warmly welcomed.

"Professor Zhao!"

"Professor Li!"

"Professor Wang......"

Several rows in a row are 'professor's seats', and Qian Zhijin helps to introduce them in turn, as if he has become 'Zhao Yi's own person'.

Professor He was also very happy, the old man stood up tremblingly, and publicly said that Zhao Yi was his disciple, so he naturally got a lot of congratulations.

And also...... Eat one's heart out.

Any scholar wants to accept a few good students, what results can students make, the teacher also has a lot of face on his face, Zhao Yi is not yet twenty years old, he can create a new computer algorithm, at least in the field of computers, he must be a super genius.

This kind of genius everyone wants to take in as a student.

Luo Zhijin also stood aside and laughed, in fact, he was much more sophisticated than Professor He.

Yesterday, the process of Zhao Yi's apprenticeship was a bit of a joke, he and Professor He were far from familiar, in case he just looked at the old man's age, and he couldn't bear to refuse directly......

Students, teachers, what's the point?

This is not antiquity!

Luo Zhijin didn't care whether Zhao Yi was apprenticed to Professor He at all, 'Disciple of Hemen' sounded very powerful, but it was actually just a title.

Professor He is really old, and his words in the academic world have a certain weight, but the old professor has always disliked being too worldly, and he doesn't care about the students who bring them out, and most of his students don't know each other, that is to say, when they seem to be from the same school, there is a little relationship, in fact, it is really difficult to say.

Luo Zhijin cares more about whether Zhao Yi chooses Yanhua University.

Professor He's process of accepting students is somewhat unreliable.

There are so many professors and experts on the scene, in case there is a past to win over Zhao Yi, maybe Zhao Yi will choose other universities, before Luo Zhijin just hoped that Zhao Yi would choose Yanhua University, but now he has turned 'hope' into 'must'.

Zhao Yi must choose Yanhua University!

For example, a monster like this, who was able to create a completely new computer algorithm on his own before going to college, and 'maybe' proved the Kakutani conjecture, would not be able to wait for decades if he missed it.

This is an opportunity to be seized!

Luo Zhijin took advantage of the free time to go out to find Xu Chao and Qian Hong, and hurriedly explained, "You must pay attention later, don't let Zhao Yi be dragged away by others!"

"You have been following Zhao Yi, helping him block some words, and taking him away when you have the opportunity to visit our laboratory!"

"If he is dragged away, it will be difficult to come back!"

"Got it?"

“！！”