Chapter 12
Chapter 12 How can it be so difficult (please support, 12th update)
Zhang Rongrong looked at Coco.
Coco thought for a moment, took a piece of chalk and wrote the answer on the blackboard
"Now suppose u is the smallest positive integer that satisfies 3u≡1(mod24), then for any positive integer v that satisfies 3v≡1(mod24), we have u|v, that is, u divides v. In fact, if \|uv, It can be seen from the remainder division method that there are non-negative integers a and b such that v=au+b, where 0b≤u-1, so it can be deduced that 3b≡3b+au≡3v≡1 (mod24), and this is obviously consistent with the definition of u contradictory, so……"
A dazzling array of calculation steps are written on the blackboard.
It took three minutes
"Look, isn’t this the answer? Therefore (n-1)(n-b0)(n-b0-1)≥(nq-q+2-b0)(nq-q-n+3-b0) q(q+1)(n-b0)(n-b0-1)≥(nq-q+2-b0)(nq-q-n+3-b0)①But (nq-q-n+3-b0)-q(n-b0-1)=(q-1)b0-n+3≥(q-1)(q+2)-n+3=0②and (nq-q+2-b0)-(q+1)(n-b0)=qb0-q-n+2≥q(q+2)-q-n+2=10③From②,③and (n-b0)(q+1),(n-b0-1)q are all positive integers, we get
(nq-q+2-b0)(nq-q-n+3-b0)q(q+1)(n-b0)(n-b0-1) And this contradicts the obtained formula ①, so the original proposition is established.
" What is this? Is this a question that can be solved by high school students?
All the students who did not leave looked at Chen Keke. At this moment, the students in the classroom felt like it.
But God.
Eternal God.
Chen Fan scanned it and said,"Well, it's not bad. Although the writing is a bit complicated, the basic idea is correct."
Hehe.
Keke was very happy. Her father rarely praised her, but this also has something to do with the fact that she never talked about these things with her father.
At the end of the paper, Chen Fan chose three.
Only these three are considered to be in line with Chen Fan's request, because these three people were the best at calculating three questions, while the rest all got zero points.
"You should be very happy, because I did not publish the college entrance examination papers, but if your exam results are like this, I don't mind applying for the college entrance examination papers."
No, professor, are you serious?
If you look like this, are we still going to take the college entrance examination?"
"If you have nothing else to do, just go back. The Mathematical Olympiad has no chance for you, so just give up. Alas."
Chen Fan is a little sad. If everyone is rushing to take the exam, who will be engaged in academics?
Coco and Zhang Rongrong naturally discovered Chen Fan's loneliness. Chen Fan is a man who can't hide his worries. Whatever is in his heart is all reflected in Face.
The papers were taken away and returned. The other three children were sitting in the room waiting, while Chen Fan was talking on the phone.
"I suggest improving the treatment of academic workers"
"Chen, I understand your thinking, but domestic academic……"
"I know about academics, so you are responsible for monitoring things. I strongly request that academics improve their treatment."
"Chen, we will listen to your ideas, but now I hope you will go all out to make the Olympics a success."
"Just these people, do you think they can win the championship? I am a human being, not a god."
Keke and Zhang Rongrong were listening outside the door.
They both remembered this matter in their hearts.
"Senior brother, there are still three people left, right? Liu Dong said:"
In fact, the so-called Mathematical Olympiad competition is actually a competition between a few people. Only one person is enough for the first place. The team championship depends on the team score, but the first place has a score bonus. Theoretically, as long as one of the six people is first, then this team will be first."
"Is it difficult this year?"
"Hell difficulty. If those children were born in your father's era, 80% of them could fight with your father. I know six or seven of them. They are geniuses. They are geniuses. When they were in the first year of high school, they had already posted on isc. Thesis."
What is ISC?
No matter what it is, it's probably high-ranking.
The two glanced at each other and instantly knew what to do. They both thought of the same person at the same time.
The two girls said goodbye to Chen Fan.
"Who do you want to hit?"
"Poor Wang Dongxi, silly Qiu Nanbai."
The two high-fived at the same time.
They are both seniors in high school. Those who know each other in the second year of high school are entirely because these two are so famous.
The so-called fame is skinny.
Wang Dongxi is a boy and Qiu Nan is a girl.
Wang Dongxi likes to contradict the teacher, while Qiu Nan Shi Jing tells the truth and is not popular with others.
Wang Dongxi likes to sell vegetables, while Qiu Nan likes to eat snacks.
However, these two mischievous people are still very good friends with each other, and
Qiu Nan likes to laugh at them. Nan likes to go and play with Wang Dongxi, and even helps Wang Dongxi sell vegetables.
Youth is so good.
"But Wang Dongxi doesn’t seem to be able to participate in competitions. His dream is to sell vegetables."
Coco said,"We'll see when the time comes."
Coco made a call to Chen Fan.
"Dad, I think I know two geniuses. I’ll go and catch them for you right away."
"Let Liu Dong drive you there"
"Okay, we will pay attention to safety. By the way, Dad, what kind of genius do you need?"
"A bit spiritual, if the basics are not good, not much math foundation, but easy to learn, the focus is spirituality"
"Well, I think these two people are definitely compatible."
I'm really happy to be able to help my dad.
Chen Fan looked at the paper and found that only one person recommended others.
Everyone else chose not to know and it had nothing to do with them.
And this point This is what makes Chen Fan the most angry.
PS: Please support me, thank you all.