Chapter 156: Bright Sword, Xiao Ran (Two in One)
Closing his eyes, Xiao Ran began to recall in his mind what good ideas for solving the problem were.
He has to think outside the box to build a tacit understanding with the subject.
After all, pretty girls are not always so easily impressed.
However, Xiao Ran is not an ordinary person, ten minutes later, after unremitting exploration, he finally has a trace of eyebrows.
He made a list of all the options that might be useful.
There are 3 types in total!
The first way of thinking needs to summarize the number of prime factors.
That is, the sequence of positive integers with different terms tends to positive infinity, and as a condition, the terms after a certain position need to be carefully examined.
This approach is a general line of thought.
But when it comes to concrete reasoning, it is not easy to lack keen intuition and subtle skills.
The second way of thinking is that inference can be made by looking at some obvious properties.
For example, the relationship between prime factors is studied by extending the adjacent sum terms to more sum terms.
However, this method has a significant drawback, that is, it does not know the information of the previous term, which leads to the uncertainty of the sum term.
In other words, proof is risky and prone to perjury.
The third idea is closer to the first idea, which is to summarize the number of prime factors.
But the difference is that this time we need to isolate the last prime factor, find the sum term that is coprime with the previous prime factors, and then produce the sum term that is coprime with the last prime factor.
After listing all the possible ideas that could be thought of, Xiao Ran looked at the calculus on the scratch paper and first excluded the second one.
Because this method of proof is too risky, it is easy to fall into the wrong place, and if you end up with perjury, you will waste more time.
It's not worth it!
Therefore, next, Xiao Ran investigated the first and third ideas.
Not sure which one worked, he deduced the proof process for both methods on scratch paper.
As mentioned earlier, Xiao Ran was a little happy about this problem.
Obviously, in the game, you just need to write a correct solution.
But Xiao Ran, who was obsessed with solving the problem, suddenly forgot about it for some reason.
After he wrote the proof process of the first idea in one go, he did not pause to start working on the third way of thinking because he was disgusted with the cumbersome steps.
I forgot that the first solution had been fully deduced and could be transcribed on the test paper.
Fortunately, there was still plenty of time, and Xiao Ran was gaining momentum, so when he finished writing another solution, there were still 20 minutes left.
After the derivation was completed, Xiao Ran looked at the much simpler steps and was very relieved in his heart.
Immediately, however, he smiled bitterly again.
How did I forget that this was an exam?
On a whim, research began again.
It's so undeserved!
Thinking like this, Xiao Ran hurriedly and quickly copied the simple proof solution just now onto the test paper.
Because, no matter how beautiful the solution is, it is worthless if it is not written on the paper!
It took a full 10 minutes, Xiao Ran carefully copied the steps of the calculation just now, without missing any subtleties.
For this reason, it is natural not to give the marking teacher a reason to deduct points.
This is important!
After the transcription was completed, Xiao Ran looked at the answers to the three questions in front of him, he pressed his slightly swollen temples hard, and breathed a sigh of relief in his heart.
All the questions are done!
For him, the second test is over.
The semi-finals have finally come to a successful conclusion!
……
Meanwhile.
Liu Ya was still a little relieved.
After coming out of the No. 1 examination room, he went to inspect the situation in several other examination rooms.
Looking at it, he found that his greatest hope was still concentrated in the No. 1 examination room.
Originally, after inspecting all the examination rooms, Liu Ya should go back directly.
Thinking of Nie Feng's condition when he came from the No. 1 examination room just now, he was still a little uneasy.
Seeing that there were still 10 minutes before the end of the exam, Liu Ya decided to go to the No. 1 exam room again after pondering.
Time is so tight, if I can make it, I will definitely do it now.
If the idea is still not clear, then I am afraid that there will be some suspense after the last question.
Thinking like this, Liu Ya once again came to the No. 1 examination room.
But before he could go in, he saw that the invigilator in the No. 1 examination room was squatting next to Xiao Ran at this time, as if something was wrong.
What's going on?
Liu Ya's heart sank, and her feet unconsciously quickened her pace.
Ma Siyuan has been paying attention to Nie Feng and Xiao Ran.
The exam was almost over, and he was very relieved to see that Nie Feng was doing the last question and had already written a lot.
Because, this means that Nie Feng was not stumped by the last finale.
The No. 1 seed is worthy of being the No. 1 seed and is expected to win the championship!
As for Xiao Ran!
Ma Siyuan didn't know him at first, and he didn't pay so much attention to him.
It was only before Nie Feng reminded him that Xiao Ran seemed to be sick, so he paid attention to Xiao Ran.
However, he is now very concerned about Xiao Ran, no less than Nie Feng.
Because, when Teacher Liu Ya came to inspect just now, he stayed by Nie Feng and Xiao Ran for the longest time.
Since Ma Siyuan has been paying attention to Teacher Liu Ya, he naturally noticed this.
Moreover, he also noticed that when Teacher Liu Ya stopped by Xiao Ran's side, he kept nodding, and the exclamation on his face was obvious.
How did this not make Ma Siyuan start to care about Xiao Ran!
He vaguely felt that Nie Feng and Xiao Ran were both Teacher Liu Ya's most optimistic students.
Therefore, it is necessary to be vigilant.
Considering Xiao Ran's poor health, Ma Siyuan paid closer attention to him.
But maybe some of the plants and trees are all soldiers, just now when he saw Xiao Ran start to press his head again, his heart sank, and he immediately came over to inquire about the situation.
He thought Xiao Ran was uncomfortable again.
However, as soon as he squatted down and didn't ask a question, he saw Xiao Ran smiling at him.
In that way, there is no discomfort at all.
Ma Siyuan smiled embarrassedly, he whispered to Xiao Ran, and immediately told him if he was uncomfortable.
After saying that, he got up and prepared to escape from this "land of right and wrong".
But at this moment, he saw that Nie Feng seemed to be looking at this side with a concerned face, and he was a little puzzled.
Seeing this, Ma Siyuan was a little "hating iron but not steel", why is this Nie Feng's attention so inattentive.
As soon as there was something going on in front of Xiao Ran, he joined in the fun!
Is!
"Concentrate and answer the questions quickly, people are still faster than you when they get sick."
He knocked on Nie Feng's table and said softly, the purpose was naturally to make Nie Feng more focused, and at the same time hide the slight embarrassment just now.
Of course, he just said it casually, and to be honest, he didn't know the actual progress of the two.
After finishing speaking, he saw a familiar figure appear at the door, so he hurriedly greeted him.
[Why is Mr. Liu here again! ] 】
The invigilator said that he walked quickly, relaxed and casual, but Nie Feng's heart began to turn over at this time.
What, Xiao Ran is faster than me?
But I'm about to finish it, is he done?
Can...... Isn't he sick?
Thinking of this, Nie Feng immediately couldn't calm down at this time!
For Nie Feng, what he has always been most proud of is the speed of doing questions.
In addition, he is still a World War II competition student, and he has more experience, so he should be thrown off Xiao Ran in terms of speed and accuracy of doing questions.
But now, what the hell is going on?
As soon as I tried to be led by someone for seven or eight minutes, my face was almost swollen.
At this point, Nie Feng can also comfort himself, maybe Xiao Ran was lucky and ran into a few similar questions.
After all, there are many questions in one try, as long as you usually brush up on the questions, it is normal to bump into the questions.
But now it's the second attempt.
He's faster than himself!
Now Nie Feng can no longer find a reason to comfort himself, because there is no possibility of hitting the question in the second test.
This......
My face hurts!
Originally, Nie Feng was still a little complacent.
Because this exam is much more stable than the last time.
Although the first question was a bit of a waste of time, the final solution was very beautiful, and he was quite satisfied.
The second question is decent and easy to solve.
The last question was a bit difficult, but after pondering for a while, he was blessed with a heart, and finally came up with a feasible plan.
And, the more he wrote, the smoother he wrote, the more he felt, he already knew that there was nothing wrong with this method, and it would not be a perjury.
There were about 10 minutes left, and he was missing only a few lines.
Everything looks so perfect!
The three questions are all solved, and the questions are high, and it is intolerable not to enter the provincial team this time.
No. 1 in the province, it looks close at hand!
But now, everything seems to have been broken.
The invigilator's words instantly shattered all his illusions.
Xiao Ran!
It's Xiao Ran again!
At this time, he remembered the words that Mr. Xue, whom he respected the most, had inadvertently said that day.
He's not as good as Xiao Ran!
Although Teacher Xue later explained to him that it was an unintentional mistake, Nie Feng always remembered this sentence.
He has self-confidence, he is definitely stronger than Xiao Ran!
It's just that he is holding his breath in his heart, and he vows to prove it!
He was unwilling to be reconciled at the thought of preparing to fight again in a year, and the first decisive battle might be defeated by others.
This must not be!
The only one who can defeat me is me!
Thinking of this, Nie Feng's gaze sharpened.
He raised his head and glanced at Xiao Ran again, and then the state of the whole person changed a little.
There's still time!
Bear down!
It is not yet known who will kill the deer!
So, in the next second, he stopped thinking about these things, and no longer cared about any wind and grass.
He decided to give his full attention and give it his all!
If Nie Feng was still thinking about getting a high score in the last question before, then now, his goal is to get a full score!
Shine your sword, Xiao Ran!
Let's see who will have the last laugh in this fight.
……
Meanwhile!
Ma Siyuan walked to the door of the classroom, where Teacher Liu Ya was waving and waiting for him.
He never thought that what he said casually would have such a big impact on Nie Feng.
If he knew that he had almost disturbed Nie Feng's mentality, he would probably regret it.
Even if Nie Feng adjusted his state in time in the end and became more imposing, he would not forgive himself.
Because this kind of thing really shouldn't happen.
However, fortunately, he didn't know that he was in a good mood now, because he saw his idol Liu Ya teacher greeting him at the door.
He walked to the door gently, and then slowly walked to a place a little farther away from the examination room with Teacher Liu Ya.
Don't affect students who are still taking exams!
"Teacher Liu, why are you here again, is there anything important?"
As soon as he walked away, Ma Siyuan hurriedly asked.
"Hehe, you're ......, strange, how do I think you're a little familiar, have we met before?"
Liu Ya asked with a smile, he originally wanted to ask Xiao Ran directly what happened just now.
But at this time, I suddenly felt a little impression of the young man in front of me.
When Ma Siyuan heard this, he was very happy in his heart, he thought that Teacher Liu Ya still remembered him.
So, he hurriedly explained to Teacher Liu Ya:
"Yes, Mr. Liu, my name is Ma Siyuan, I had the honor to attend your class 10 years ago, and I often go to your lectures."
"Later, due to my special interest in mathematics, I also applied for a graduate degree in mathematics across majors, but due to my limited level, I couldn't get into your students."
"At the time, I felt very regretful, but later, with your recommendation, I was very fortunate to transfer to Teacher Jiang, and I can still hear your teachings often."
After listening to Ma Siyuan, Liu Ya remembered that there seemed to be such a student before.
He still remembers that this student had a strong desire at that time, and he was very impressed by the fact that he was admitted to the mathematics department across majors.
However, due to the limited number of places at that time, I had to give up in the end.
But feeling the other party's spirit of curiosity, he recommended this student to Mr. Jiang in the same group.
Later, this student did not disappoint them.
Although he is not from a professional background, he has a genuine love for mathematics and has a good talent, and finally achieved good results.
Thinking of this, Liu Ya said with a smile:
"Oh, so you're a pony, I remember you, you're good.
I didn't expect you to engage in the mathematics industry after graduation, which is very good, and you don't forget your original intention. ”
Of course, Liu Ya knew that these invigilators were all high school math teachers drawn from all over Quancheng.
Ma Siyuan saw that Teacher Liu Ya really remembered him, and his heart was even more excited:
"Yes, Mr. Liu, I still think that mathematics is the most suitable for me, so I am now a mathematics teacher in the Provincial Experimental Middle School."
Seeing that Pony was full of pride when he mentioned mathematics, Liu Ya nodded secretly, he could see that the other party really had feelings for mathematics.
All right!
"Xiaoma, you are experimenting in the province, you should know the No. 13 candidate Nie Feng, what do you think of his test."
"Uh-huh." Ma Siyuan nodded, "I know him, I think he did very well in the exam this time, and the last question seems to be almost finished." ”
For the students of his own school, they are still trump cards, and Ma Siyuan naturally does not hesitate to praise them.
"Oh, is it almost done?"
Liu Ya was overjoyed when she heard this, and her heart was half relieved.
"Yes, it's full of writing, it should be almost over.
In fact, if he hadn't been inattentive at first, I'm afraid it would have been done a long time ago. ”
Ma Siyuan continued, there is no harm in explaining more to Nie Feng, the kid.
"Oh? What happened to him in the first place, why didn't he pay attention to such an important exam? ”
Liu Ya asked curiously, he vaguely felt as if he understood why Nie Feng was a little slow to do the question just now.
"That's right, Teacher Liu, he seems to pay special attention to the candidate Xiao Ran in front of him, and he always looks at him at every turn." Ma Si walked afar.
Well?
Liu Ya was a little puzzled when she heard this.
What's going on?
But before he could ask, he heard Pony continue:
"I was also very strange at first, but later I learned that Xiao Ran was sick, and he should be worried about something wrong with Xiao Ran's body.
I guess the two of them should know each other, and the relationship is not bad, so that's why it's like this. ”
Listening to Xiaoma's faint words, Liu Ya was shocked in her heart.
This Xiao Ran turned out to be sick!
That's it, it's faster and better than Nie Feng!
This...... It's unreasonable!