Do You Know How Much I've prepared? (Seeking Support)
At this moment, Chen Fan suddenly thought of a man's words. Do you know how I have been living these five years?
Chen Fan was feeling the same way. Do you know how much I've been preparing for this test?
The reward given to Chen Fan by the system was that it hoped that Chen Fan would be able to exceed the score.
In Chen Fan's knowledge, an average student would get full marks.
The top student controlled his grades. He could get as many points as he wanted.
A slightly higher level of genius would be the mission given by the system, which was to exceed the score.
For this reason, Chen Fan even stayed up all night to do the questions. For the team competition, Chen Fan even specially came up with questions to let these pig teammates work hard to improve. However, when he saw these questions, Chen Fan felt uncomfortable.
F * ck, this is it?
Just this?
Are you kidding me?
Forget it. Since he was going to go with the extra points, it was very simple. Naturally, he would give more steps to solve the problem.
Better safe than sorry.
Generally, the steps to solve the problem were the standard for scoring points. Of course, this required courage. If the second method was wrong, then no matter how correct the first method was, the entire question would be judged as a deduction.
"Answer: Seeking n = 1,2(mod4). Let M=max{a1,a2,,an}, then there is
3M=∑k=1nk3Mak≡∑k=1nk=n(n 1)2(mod2),
Therefore, n(n 1)2 is odd, so n = 1,2(mod4).
If for odd numbers n= 2m 1, then there exists a non-negative sequence of numbers (a1,a2,,an) such that
12a1 12a2 12an=13a1 23a2 n3an=1.
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After thinking about it for a while, Chen Fan decided to throw in a little bit of geometric sequence first, and then expand it.
"The third one should be fine."
After writing three algorithms in a row, Chen Fan continued with the calculations. Only fifteen minutes had passed.
Zhao Mingtian looked at Chen Fan. For the first time, Zhao Mingtian didn't take the exam seriously.
He seemed to have seen this math problem before, but at the same time, he seemed to have never seen it before.
It seemed to be a math problem that Qian Donghai had mentioned in class.
Zhao Mingtian wouldn't listen to Qian Donghai, just like how he wouldn't do the questions according to the teacher's instructions in school.
He had his own way of learning.
This was the pride and dignity of a top student.
Chen Fan was a little worried because Zhao Mingtian had already solved two questions.
Looking at Chen Fan's writing speed, Zhao Mingtian knew that this person was still not good enough.
He needed to think for a long time to solve these questions, but this guy was so energetic that he probably wrote blindly.
Sigh, he had no choice. Since he had already come to participate in the competition, he had to drag it out.
There was no other choice in the country.
Time ticked by. After an hour, Zhao Mingtian rubbed his head. He had been stuck at the third question for a long time. It was not that he did not want to do it later, but the rest was completely like a book. He had never seen it before.
Jack was the same. Jack himself didn't expect math to be so difficult. He usually worked very hard and studied very hard. How could he be stuck at the last two questions?
Looking at Charlie on the podium, Jack had a feeling that this old man was smiling.
Jack's idea was right. Charlie, who was in charge of invigilating the exam, was naturally smiling. In fact, Charlie knew both Jack and Zhao Ming.
As one of the examiners, Charlie was in charge of this year's test. Charlie's idea of setting the test this year was different from previous years. After screening a large number of questions, he expanded the questions for the more outstanding contestants.
To put it bluntly, it was even more difficult.
There was an unwritten rule in the Olympics. If the person who set the question scored more than 100% in the math test every year, then the person who set the question would have failed.
About an hour later, Chen Fan raised his hand and said,""Teacher, I want to hand in my paper."
Everyone subconsciously looked at Chen Fan and then lowered their heads to continue solving the problem.
Who would believe that he could finish it in an hour?
No one present believed him. Most of them were guessing that this guy probably wouldn't. He couldn't take the torture and handed in his paper early.
Zhao Mingtian was very angry. Now, he estimated that it would be good enough if he could get 20 points. If this guy handed in the paper early, what would happen to the average score?
What about the total score?
Chen Fan really shouldn't have brought him along.
Charlie took a look at the paper and casually put it on the table, asking Chen Fan to leave.
To put it bluntly, you solved it in an hour? Charlie did not believe it himself. As for what was written on the paper, Charlie was too lazy to care.
After another hour, some students in the room couldn't take it anymore and started to hand in their papers.
If he didn't know, then he didn't. If he knew, then he knew. Mathematics was a very real subject.
There was no such thing as trickery.
After three hours, there were less than ten people left in the examination hall. At this time, Charlie began to pick up the papers and mark them one by one.
As for whether Charlie would use the back door, there was no need to worry about that. For mathematicians to reach this level, their core idea would always be to pursue the future of mathematics. If he used the back door, he would be disgusted to death.
"Forget it, it's been hard on this child.”
"This…is passable."
"This unlucky kid actually put in US dollars. Does he want me to give him some points for the sake of US dollars?"
"This is interesting. He actually drew a self-portrait of himself. Has the child been driven crazy?”
Charlie didn't know whether to laugh or cry.
When he saw the last paper, he yawned and looked at the first question.
"En, the use of the geometric sequence is not bad.”
"Hmm, trigonometrification is not bad either.”
"The use of numbers from numbers to sets. En, en, this child has some talent.”
Wait a minute.
Charlie seemed to have noticed something amiss.
It seemed that this person was the first to hand in his paper. It seemed that this youth used three different algorithms for the first question?
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