Volume 1: Student Life Chapter 178 Finalists
library.
Yang Yiyi is still looking up relevant literature on the topic of mechanics.
According to Yang Yiyi herself, their project is progressing at an accelerated pace and is expected to be completed within this month.
Chen Zhou, who was next to Yang Yiyi, was concentrating on studying the hail hypothesis.
After formulating the hail conjecture problem, Chen Zhou is conducting related case studies.
【X1=1, substitute into the formula: X2=（3×1＋1）/2^2=1, end. 】
【X1=3, substitute into the formula: X2=（3×3＋1）/2=5; X3=（3×5＋1）/2^4=1, end. 】
【……】
Chen Zhou hopes to find some patterns by substituting examples.
But this was obviously much more difficult than he imagined.
Chen Zhou frowned as he looked at what he had written, thinking, "After iterating through Xn+1=(3Xn+1)/2^m until the formula (3Xn+1)/2^m=1 holds, there must be two conclusions..."
Chen Zhou thought and wrote on the draft paper:
[1. After any Xi enters the iteration, it will not return to Xi, that is, there will be no digital loop. If a loop occurs, this is a counterexample, which means that the hail conjecture is falsified. ]
[2. After Xi enters the iteration, the value will not diverge, that is, the value will not increase until infinity, but will change within a limited range. ]
Chen Zhou looked at the two conclusions he had written and did not feel much joy. Instead, he was worried about how to prove them.
It has to be said that through these few days of research, he discovered a fact.
That's it. It's so damn difficult. It's harder than asking him to solve a thousand out-of-scope questions given by Wu Xiping...
Of course, this was just Chen Zhou's inner complaint.
Compared to solving the thousand out-of-syllabus questions posed by Wu Xiping, he would rather spend his time studying the hail conjecture.
Chen Zhou remembered that the hailstone conjecture had been verified to the natural number 5×2^60 in 2009, without a single counterexample.
In this case, the hail hypothesis is most likely correct.
Thinking of this, Chen Zhou opened the collection of wrong questions and began to read it carefully.
The wrong questions are the wrong directions accumulated in the past few days.
Sometimes, mistakes are guiding lights.
The key lies in whether you can reflect on yourself from your mistakes and find the right path.
After Chen Zhou read it carefully, he started to try another method.
Although he thought this method was unlikely to work from the beginning.
But it’s never wrong to try more.
Stagnation is more terrifying.
Taking out a new piece of draft paper, Chen Zhou started writing after replacing a new refill:
[Starting from n=1, substituting Xn＋1=（3Xn＋1）/2^m, we can get X2=（3X1＋1）/2^m. 】
[If X2=1, then X1=5, 21, 85, 341, 1365, 5461, 21845, ...]
[Similarly, when n=2, we can get X3=（3X2＋1）/2^m2, and then substitute X2=（3X1＋1）/2^m1, that is, X3=［3×（3X1＋1）/2^m1＋1］/2^m2=（9X1＋3＋2^m1）/2^（m1＋m2）. ]
[Let X3=1 in the same way, then X1=3, 13, 53, 113, 227, 909, ...]
[The above values are obtained by reversing the equation for X3 and using X1=［（（2^（m2－1））/3×2^m1）－1］/3. 】
[Similarly, use X4, X5, etc. to continuously substitute into the equation and do the reverse calculation...]
Chen Zhou started from X2 and kept writing until he wrote out the equation for Xn, and then worked backwards.
Without rushing to write out the reverse formula for X1, Chen Zhou shook his head slightly.
The previous X2, X3, and X4 are all easy to prove.
But if we continue in this direction and expand n to any number.
Instead, a perverse problem will occur.
Because when X1 is deduced from the formula of Xn, there will be problems with X1.
It's a big problem.
As the initial value of X1, the 2^(m1-1) inside it contains the future value part 2^(m(n-1)-1).
This is a question that cannot be proven.
Chen Zhou stopped writing and habitually tapped the draft paper with the pen without continuing to write.
The final results of these formulas told Chen Zhou that he was back to the origin of the problem.
I casually flipped through the collection of wrong questions, and all the formulas just now appeared in the collection again.
Well, this unlikely road has been blocked again.
Putting down the pen, Chen Zhou subconsciously wanted to scratch his head, but immediately stopped the action.
Compared to holding a pen and constantly tapping on the draft paper, scratching your head when you encounter a problem is not a good habit.
What if he became like Zhang Zhongyuan? That would really prove what he said, that he looked a lot like him when he was young...
Beside him, Yang Yiyi noticed Chen Zhou's actions and glanced at the densely packed formulas on the draft paper.
She whispered, "Do you want to go out for some fresh air?"
Chen Zhou turned to look at Yang Yiyi and smiled slightly: "Not for now."
After saying that, Chen Zhou picked up the pen again and continued to attack the hail hypothesis.
Time just passes quietly at the tip of the pen.
Two weeks had passed since the Qiu competition.
April 5th.
Qingming Festival.
As if to suit the occasion, it had been drizzling since morning.
Chen Zhou and Yang Yiyi had no choice but to cancel their morning jogging plans.
However, the two did not sleep in, but got up directly to have breakfast.
While having breakfast in the cafeteria, Chen Zhou received a call.
It was the leader teacher of Qiu Sai who called.
He first congratulated Chen Zhou on successfully entering the finals of five subjects, and then explained some things to pay attention to in the finals.
After hanging up the phone, Chen Zhou realized that half a month had just passed.
The natural generalization of the problem proved by Professor Conway of the Institute for Advanced Study at Princeton University in 1972 is the hailstone conjecture of algorithmic undecidability.
In 1990, the Hailstone conjecture was proved to be undecidable in arithmetic hierarchy by two professors at the Harvard University Mathematical Research Institute and the Stanford University Center for Advanced Study.
In 2011, Terence Tao called the Hailstone conjecture unlikely to be proven by current technology.
The same goes for Chen Zhou. It can almost be said that there has been no progress.
But there are still gains.
During the research process, Chen Zhou at least figured out how difficult this problem is.
No wonder the great mathematician Ertsch said that mathematics is not yet mature enough to solve such problems.
In addition, Chen Zhou also gained some extra benefits.
He became more proficient in the use of mathematical tools.
Retracting his thoughts, Chen Zhou looked at Yang Yiyi who also received a call.
After Yang Yiyi hung up the phone, Chen Zhou asked, "Who is the leader of the Qiu race?"
Yang Yiyi nodded gently: "Well, the two subjects I chose were both shortlisted."
Chen Zhou was not surprised by this result. He would have been surprised if Yang Yiyi had not been shortlisted.
When Chen Zhou returned to the dormitory, he saw that Zhao Qiqi and the other two had already gotten up and were sitting at their desks, checking Qiu Sai's competition results.
It seems that these three guys also received the call.
Chen Zhou handed them breakfast, sat at the desk and began to organize his draft paper.
While eating buns, Zhao Qiqi asked, "Brother Chen, don't you want to check the results of Qiu's competition?"
Chen Zhou kept moving his hands and replied, "All five subjects have been shortlisted."
Zhao Qiqi took another bite of the bun and said vaguely, "No, I mean the specific results."
Zhu Mingli also said: "Yes, Chen Zhou, you are definitely shortlisted. But don't you want to see the specific results?"
Chen Zhou replied: "It's enough to know that I'm shortlisted. As for the results, they should be good. It doesn't matter whether I check or not."
Hearing this, Zhao Qiqi and Zhu Mingli stopped talking.
Li Li glanced at Chen Zhou and silently closed the open web page.
Chen Zhou didn't touch the computer until the three of them finished their breakfast.
Zhao Qiqi looked at Chen Zhou again, then silently entered Chen Zhou's information into the official website and checked it.
Zhu Mingli keenly noticed Zhao Qiqi's movements. He quietly moved closer to Zhao Qiqi.
Although Li Li did not move, he also stared at Zhao Qiqi's computer screen.
As the page refreshed, the three saw Chen Zhou's written test results.
Zhao Qiqi couldn't help but exclaimed: "Fuck! Full marks in all subjects!"
Zhu Mingli followed closely behind: "Awesome!"
Li Lizhe retracted his gaze and said with emotion: "I didn't expect that such a difficult number theory paper could get full marks..."
After hearing what the three said, Chen Zhou still did not stop what he was doing, but asked calmly: "Who among you got full marks in all subjects? Li Li?"
Chen Zhou thought that one of Zhao Qiqi and the other two had achieved full marks in all subjects.
Among these three people, in Chen Zhou's opinion, only Li Li has this possibility.
Li Li replied: "It's not me, I can't do it, it's you..."
Hearing this, Chen Zhou was slightly stunned. He turned his head slightly, glanced at the three people, and then noticed the content on Zhao Qiqi's computer.
He didn't expect that Zhao Qiqi would check his grades.
"Uh...Brother Chen..."
Just as Zhao Qiqi was about to explain, Chen Zhou said, "It's okay, let's check it out."
Before Zhao Qiqi could breathe a sigh of relief, she heard Chen Zhou say again: "Just as I thought, the results are good."
Zhao Qiqi couldn't help but say, "This is not bad at all. This result must be like what Li Li said, the only one with full marks in all subjects!"
Zhu Mingli and Li Li pulled Zhao Qiqi at the same time.
Zhu Mingli said: "Have you forgotten what good means?"
Zhao Qiqi was speechless for a moment. He thought of Chen Zhou's words "You did well in the exam"...
Chen Zhou smiled slightly and continued to organize his draft paper.
In fact, he was not surprised at all by this result.
Not to mention, he already knew he would get full marks in all subjects through his collection of wrong questions.
Even if he hadn't read the wrong question set, Chen Zhou was basically certain that he had scored full marks in all subjects.
For him, who has already completed his undergraduate courses, it is only natural for him to participate in a mathematics competition for college students across the country and get full marks.
It was what should have happened, and the final result was just a matter of course.
Therefore, after seeing his own results on Zhao Qiqi's computer, Chen Zhou felt no emotion at all.
Of course, Chen Zhou would still be very happy if he won all the gold medals and the team gold medal in the finals and took all the first places in one fell swoop.
After all, the meaning is different, this is the first math competition he participated in.
Compared with Chen Zhou's indifference, as the written test results of Qiu Sai came out, students from all regions of China who participated in Qiu Sai began to check the written test results of Qiu Sai on the official website.
For a time, this not-so-powerful official website was at risk of collapse.
Thanks to the event officials who promptly arranged for maintenance, we were able to get through this climax of results inquiries.
At the same time, the official list of finalists and commendations for this competition also spread.
Being shortlisted means you will naturally advance to the finals.
As for praise, it is naturally to praise the contestants who performed well in this competition.
Although you didn't make it to the finals, you are still excellent.
This list was also screenshoted and posted on the Yanda campus website.
In order to echo the previous voting post for the gold medalist in Qiu Sai, the poster named this post about the shortlist "Qiusai Voting 2.0, is the person you voted for still here?"
When Chen Zhouchu saw this post, he liked it.
The poster has a good ability in naming.
This is a very well-crafted piece of work that is well-connected.
This kind of title can easily attract visitors.
Just like Chen Zhou, didn’t he just like it?
The post contains analysis from various experts.
Chen Zhou took a quick look.
It was not until someone listed the names of all five members of their team that Chen Zhou looked at them carefully.
[The strongest team in this Qiu competition! All five members entered the finals! ]
[Chen Zhou, Yang Yiyi, Li Li, Zhu Mingli, Zhao Qiqi, this is the combination of the peerless twins plus three people, and Li Li, Zhu Mingli, Zhao Qiqi are all roommates of Chen Zhou, one of the peerless twins! ]
[Is it true that one person can influence the entire dormitory? I boldly assert that this team will win the gold and silver awards in this Qiu competition! ]
"One person affects the entire dormitory?" Chen Zhou smiled slightly.
Indeed, he had a certain influence on the three people in the dormitory.
The fact that Zhao Qiqi and Zhu Mingli never played League of Legends again shows how far-reaching the impact was.
Seeing Chen Zhou's smile, Yang Yiyi asked curiously, "What are you looking at? Why are you looking at it and laughing at the same time?"
Chen Zhou handed the phone to Yang Yiyi: "Have you seen this post?"
Yang Yiyi took it, took a look, and returned the phone to Chen Zhou. She said helplessly, "Yu Rou and Li Jing showed it to me a long time ago. Now people in the dormitory are no longer discussing the giants. They are now discussing who between the two of us can win the gold medal."
Hearing this, Chen Zhou smiled again: "It's all the same anyway."
What Chen Zhou didn’t know was that the Department of Mathematics at Yanda University @ed him on Weibo.
All I have to say is wait for him to lead this team and win all the gold medals!
Following closely behind was the official Weibo account of the Department of Physics of Yan University, which reposted and liked this Weibo post.
Following the news from the official Weibo, netizens who had been following Chen Zhou on Weibo learned that Chen Zhou had actually participated in the Qiu competition again.
For a while, Chen Zhou's comment section was bombarded again.
The voting post that was originally popular on the Yanda campus website was also moved to Weibo.
Of course, this voting post only contains the list of shortlisted candidates.
But just like the Yanda campus network, Chen Zhou's name quickly topped the list and was far ahead by an absolute margin of votes.
Then, to everyone’s surprise, Qiu Sai’s official Weibo account actually quietly liked the Weibo post from Yanda’s Department of Mathematics.
This operation directly triggered collective complaints from netizens.
However, no one doubted the fairness of this competition.
After all, behind Qiu Sai is Yanda’s old rival.
Moreover, after accepting everyone's complaints, Qiu Sai's official blog posted Chen Zhou's full score in all subjects, and attached Mr. Qiu's comments: "The calculations are extremely rigorous, the logic is meticulous and correct, and the thinking is extremely clear."
Once this Weibo post was released, it was more powerful than anyone else’s words.
Below this Weibo post, there are a large number of comments from netizens.
The official blogs of major universities also joined in the fun.
The two old rivals, Yan Da and Shui Mu, were surprisingly unanimous.
As more and more people pay attention to it, the Qiu Sai mathematics competition, which was established only a few years ago, has become more widely known.
This is also extremely beneficial to the development of an event.
As the subject of discussion, Chen Zhou never paid any attention to this matter again after he left the campus network.
He and Yang Yiyi continued to live a simple life together, according to their plan, spending every day in a fulfilling way.
A week after the results of the Qiu Sai written test were announced, Chen Zhou received an email.
