Xueba starts with change

Chapter 178 Finalists (Two in One)

library.

Yang Yiyi is still looking up relevant literature on mechanics topics.

According to Yang Yiyi, their project is speeding up and they are going to finish it within this month.

Chen Zhou beside Yang Yiyi was lowering his head, studying the conjecture of hailstones.

After formulating the hail conjecture problem, Chen Zhou is conducting relevant case studies.

【X1=1，代入公式：X2=(3×1+1)/2^2=1，结束。】

【X1=3，代入公式：X2=(3×3+1)/2=5；X3=(3×5+1)/2^4=1，结束。】

【…】

Chen Zhou hopes to find some rules through the examples of substitution.

But it was obviously much harder than he imagined.

陈舟看着自己写下的内容，眉头微微皱起，心中想着：“经过Xn+1=(3Xn+1)/2^m的迭代，直到(3Xn+1)/2^m=1公式的成立，这其中必有两个结论……”

While thinking, Chen Zhou wrote down on the draft paper:

[1. After any Xi enters an iteration, it will not return to Xi, that is, there will be no digital cycle.If there is a cycle, 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 become larger and larger until infinity, but will be replaced within a limited range. 】

Looking at the two conclusions he wrote down, Chen Zhou didn't feel much joy, but 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 the thing, it's really difficult, even harder than asking him to solve a thousand super-level problems given by Wu Xiping...

Of course, this is just Chen Zhou's complaints in his heart.

He still prefers to spend his time on the research of the hail conjecture rather than solving a thousand super-outline problems posed by Wu Xiping.

Chen Zhou remembered that in 2009, the Hail Conjecture had been verified to a natural number of 5×2^60, and there was no counterexample.

In this case, the hail conjecture has a high probability to be correct.

Thinking of this, Chen Zhou opened the collection of wrong questions and read it carefully.

The wrong question is the wrong direction accumulated in the past few days.

Sometimes mistakes are the guiding lights.

The key lies in whether you can reflect on yourself from your mistakes and find the right path.

After Chen Zhou finished reading it seriously, he started to try another method.

Although this method was considered by him to be unlikely to work from the very beginning.

But the more you try, the better you will be.

Standing still is more terrifying.

Taking out a piece of draft paper again, Chen Zhou started to write after changing a new pen refill:
【从n=1开始，代入Xn+1=(3Xn+1)/2^m，可以得到X2=(3X1+1)/2^m。】

【If X2=1, then X1=5, 21, 85, 341, 1365, 5461, 21845,.】

【同理，n=2的时候，可以得到X3=(3X2+1)/2^m2，再把X2=(3X1+1)/2^m1代入的话，也就是X3=[3×(3X1+1)/2^m1+1]/2^m2=(9X1+3+2^m1)/2^(m1+m2)。】

[Again, if X3=1, then X1=3, 13, 53, 113, 227, 909,.]

【上述值，是将X3的等式反推，利用X1=[((2^(m2-1))/3×2^m1)-1]/3得到的结果。】

[In the same way, use the equations that are constantly substituted into X4, X5, etc. to reverse the calculation...]

Chen Zhou started from X2 in this way, and kept writing with the pen in his hand until he wrote the equation of Xn, and then reversed it.

Chen Zhou shook his head slightly before he was in a hurry to write down the reverse derivation formula of X1.

The previous X2, X3, and X4 are all easy to prove.

But along this direction, when n is extended to any number.

Instead, a perversion problem occurs.

Because using the formula of Xn, after pushing X1 backwards, X1 will have problems.

is a big question.

作为初始值的X1，它内部的2^(m1-1)是包含了未来值部分2^(m(n-1)-1)的。

It is an unprovable problem.

Chen Zhou also stopped writing, habitually took the pen and tapped on the draft paper, and stopped writing.

The final result of these calculations told Chen Zhou that he was back to the origin of the problem.

I flipped through the wrong question set casually, and all the formulas just now appeared on the wrong question set again.

Well, this improbable road was blocked again.

Putting down the pen, Chen Zhou subconsciously wanted to scratch his head, but he stopped this action immediately.

Compared with holding a pen, constantly pointing at the draft paper, scratching your head when encountering problems, is not a good habit.

In case, he becomes the same as Zhang Zhongyuan, then he really answered his sentence, and he is very similar to him when he was young...

Beside him, Yang Yiyi noticed Chen Zhou's movements, and glanced at the densely packed calculation formulas on the draft paper.

She asked in a low voice, "Do you want to go out and get some air?"

Chen Zhou turned to look at Yang Yiyi, and smiled slightly: "Not for now."

After finishing speaking, Chen Zhou picked up the pen again and continued to attack the conjecture of Hail.

Time, just like this, quietly passed by the tip of the pen.

Two weeks had passed since Qiu Sai.

4 month 5 day.

Ching Ming Festival.

As if to suit the occasion, it has been raining lightly since the morning.

Chen Zhou and Yang Yiyi had no choice but to cancel their morning run plan.

However, the two of them did not snooze, but went straight to breakfast.

While eating breakfast in the cafeteria, Chen Zhou received a call.

It was Qiu Sai's team leader teacher calling.

He first congratulated Chen Zhou for successfully entering the finals of five subjects, and then explained some precautions for the finals.

After hanging up the phone, Chen Zhou realized that half a month had just passed.

And that in 1972, it was proved by Professor Conway of the Institute for Advanced Study of Princeton University that the natural generalization of the problem is the hail conjecture that the algorithm is undecidable.

In 1990, the Hailstone Conjecture, which was proved to be virtually undecidable in the arithmetic scale, was proved by two professors at the Harvard Mathematics Institute and the Stanford Center for Advanced Study.

In 2011, Tao Zhexuan called the hail conjecture that it is unlikely to be proved by current technology.

The same is true for Chen Zhou. It can almost be said that there is no progress.

But there are still gains.

In the process of research, Chen Zhou at least figured out how difficult this problem is.

No wonder the great mathematician Erte Hidu said that mathematics is not yet mature enough to solve such problems.

In addition, Chen Zhou also got some extra gains.

He has become more proficient in the use of mathematical tools.

Withdrawing his thoughts, Chen Zhou looked at Yang Yiyi who also received the call.

When Yang Yiyi hung up the phone, Chen Zhou asked, "Qiu Sai's team leader teacher?"

Yang Yiyi nodded slightly: "Well, the two subjects I chose were both shortlisted."

Chen Zhou was not surprised by this result. If Yang Yiyi was not shortlisted, he would be surprised instead.

Back in the dormitory, Chen Zhou saw that the three of Zhao Qiqi had gotten up and were sitting at the desk, checking Qiu Sai's test results.

It seems that these three guys also received a call.

Chen Zhou handed them breakfast, sat at the desk and began to organize his draft paper.

Zhao Qiqi asked while eating the steamed stuffed bun, "Brother Chen, don't you want to check Qiu Sai's results?"

Chen Zhou kept moving his hands, and replied in his mouth: "All five subjects have been shortlisted."

Zhao Qiqi took another bite of the steamed stuffed bun, her voice was a bit vague: "No, I'm talking about the specific results."

Zhu Mingli also said: "That's right, Chen Zhou, you must have been shortlisted. But don't you look at the specific results?"

Chen Zhou replied: "It's fine if you know you've been shortlisted. As for the results, it should be good. It doesn't matter if you check or not."

Hearing this, Zhao Qiqi and Zhu Mingli stopped talking.

Li Li glanced at Chen Zhou, and silently closed the opened webpage.

Chen Zhou didn't touch the computer until the three finished their breakfast.

Zhao Qiqi took another look at Chen Zhou, then silently entered Chen Zhou's information into the official website and checked it.

Zhu Mingli was keenly aware of Zhao Qiqi's movements, he moved his body quietly, and approached Zhao Qiqi.

Although Li Li didn't move, he still stared at Zhao Qiqi's computer screen.

As the page refreshed, the three of them saw Chen Zhou's written test results.

Zhao Qiqi couldn't help but let out a low voice: "Fuck! Full marks in all subjects!"

Zhu Mingli followed closely behind: "Awesome!"

Li Li withdrew his gaze, and just said with emotion: "I never thought that such a difficult number theory paper could get full marks in all subjects..."

Hearing what the three of them said, Chen Zhou still didn't stop what he was doing, but asked indifferently: "Which one of you has perfect marks in all subjects? Is it Li Li?"

Chen Zhou thought it was one of Zhao Qiqi who got full marks in all subjects.

Among the three, in Chen Zhou's opinion, only Li Li had this possibility.

Li Li replied: "It's not me, I can't do it, it's you..."

Hearing this, Chen Zhou was slightly taken aback, turned his head slightly, glanced at the three of them, and then noticed the content on Zhao Qiqi's computer.

He didn't expect Zhao Qiqi to check his grades.

"Uh...Brother Chen..."

Just as Zhao Qiqi was about to explain, Chen Zhou said, "It's okay, just check."

Before Zhao Qiqi breathed a sigh of relief, Chen Zhou said again: "It's just as I thought, the grades are good."

Zhao Qiqi couldn't help but said: "This is not bad, this result must be just like what Li Li said, it is the only perfect score in all subjects!"

Zhu Mingli and Li Li tugged Zhao Qiqi at the same time.

Zhu Mingli said, "Have you forgotten what it means to be good?"

Zhao Qiqi was speechless for a moment, and he thought of Chen Zhou's sentence "I did well in the exam"...

Chen Zhou smiled slightly and continued to organize his draft paper.

In fact, he was not surprised by this result at all.

Not to mention, he already knew the perfect score in all subjects through the wrong question set.

Even if he read the question set correctly, Chen Zhou can basically be sure that he has a perfect score in all subjects.

For him who has finished his undergraduate courses, it is right for him to participate in the national mathematics competition for college students and get full marks in the exam.

Things that should have been done, the final result is just a matter of course.

Therefore, after seeing his own results on Zhao Qiqi's computer, Chen Zhou's heart remained unchanged.

Of course, Chen Zhou will still be very happy if he wins the general and team gold medals in the finals and wins all the first places in one fell swoop.

After all, the meaning is different, and this is the first math competition he participated in.

Compared with Chen Zhou's indifference, as the written test results of the Qiu competition are coming out, students from all parts of Huaguo who participated in the Qiu competition began to check the written test results of the Qiu competition on the official website.

For a while, this unreliable official website was facing the risk of collapse.

Thanks to the timely arrangement of personnel by the event officials for maintenance, they survived the climax of this wave of result inquiries.

At the same time, the official list of finalists and commendations for this competition was also circulated.

To be shortlisted is to advance to the finals.

As for the praise, it is natural to praise the players who performed well in this competition.

Although you didn't make it to the finals, you are still very good.

On the Yanda campus website, this list was also screenshotted and posted.

In order to echo the previous voting post of the gold medalist in Qiusai, the post of this shortlist was named [Qiu Sai Voting 2.0, may I ask who you voted for, is he still there? 】

When Chen Zhouchu saw this post, he liked it.

This poster has a good name.

This back and forth, also play very slippery.

This kind of title can easily attract visitors.

Just like Chen Zhou, don't you just like it?
In the post, is the analysis of various great gods.

Chen Zhou simply scanned it.

It wasn't until someone listed all the names of the five members of their team that Chen Zhou took a closer look.

[The strongest team in this Qiu competition!All five are shortlisted for the finals! 】

[Chen Zhou, Yang Yiyi, Li Li, Zhu Mingli, Zhao Qiqi, this is a combination of the peerless double pride and three people, and Li Li, Zhu Mingli, Zhao Qiqi are all roommates of Chen Zhou, one of the peerless double pride ! 】

[Is it true that one person affects the entire dormitory?I boldly assert that this team will win the gold and silver awards in this competition! 】

"Does one person affect the entire dormitory?" Chen Zhou smiled slightly.

Indeed, he had a certain influence on the three people in the dormitory.

Judging from the fact that Zhao Qiqi and Zhu Mingli have never played masturbation again, it can be seen that this has a far-reaching impact.

Seeing Chen Zhou's smile, Yang Yiyi asked curiously: "What are you looking at, and laughing while watching?"

Chen Zhou handed the phone to Yang Yiyi: "Have you read this post?"

Yang Yiyi took it over, glanced at it, and returned the phone to Chen Zhou, and said helplessly: "Yu Rou and Li Jing have shown it to me a long time ago, now the dormitory doesn't discuss giants every day, and starts to discuss who the two of us are." I can get a gold medal."

Hearing this, Chen Zhou smiled again: "It's the same anyway."

What Chen Zhou didn't know was that Yanda Mathematics Department @ him on Weibo.

There is only one thing to say, wait for him to lead the team and win all the gold medals!
Followed by the official blog of the Department of Physics of Yanda University, who forwarded and liked this Weibo.

And following the news on the official blog, the netizens who had been following Chen Zhou on Weibo knew that Chen Zhou actually went to participate in the Qiu competition again.

For a while, Chen Zhou's comment area was bombed again.

The voting posts that were originally lively on the Yanda campus network were also moved to Weibo.

Of course, this voting post only has a list of people who have been shortlisted.

But like Yanda Campus Network, Chen Zhou's name quickly reached the top, leading by an absolute margin.

Then, to everyone's surprise, Qiu Sai's official Weibo quietly liked this Weibo of the Department of Mathematics of Yanda University.

This operation directly triggered group complaints from netizens.

However, no one doubts the fairness of this competition.

After all, behind Qiu Sai is Yanda's old enemy.

Moreover, after accepting everyone's complaints, Qiu Sai's official blog posted Chen Zhou's perfect score in all subjects, and attached Mr. Qiu's comment: "The calculation is extremely rigorous, the logic is meticulous and correct, and the thinking is extremely clear. .”

Once this Weibo was released, it was more powerful than everyone else's words.

And at the bottom of this Weibo, except for a large number of comments from netizens.

The official blogs of major colleges and universities have also collectively gathered together for excitement.

Yanda Mizuki, the two old rivals, are surprisingly in agreement.

With more and more people paying attention, Qiu Sai, a mathematics competition for college students that has only been established for a few years, has become more widely known.

This is also extremely beneficial to the development of an event.

As the subject of discussion, after Chen Zhou quit the campus network, he never paid attention to this matter again.

He and Yang Yiyi remained calm, and spent every day fulfilling according to their plan.

After the results of the Qiu Sai written test were announced, another week later, Chen Zhou received an email.

(End of this chapter)