Cartoonist's Dream

There is no full score in the mo finals, and there has never been a full score since the start of the competition. All students are awarded according to the ratio of 3:2:1.Due to the difficulty of the questions and the high score value, there are only a few dozen questions, and there are many equal scorers in the end, but there is never a full score in the final!

But an accident happened on the day of marking.

On July 7, the two exams were all completed, and the visit was organized immediately in the afternoon of the same day.

On July 7th, experts from the Mathematical Olympiad uniformly reviewed the test papers, and all contestants and accompanying personnel continued to visit the capital and wait for the scores.

In the unification stage, the standard questions that should have been repeatedly verified were found to be wrong in a test paper.The same correct answers were written on the previous papers, but all of them were crossed out by the examiners, and no one noticed the mistakes in the standard answers. [

But here is a student with a near-perfect score. The difference between the ability test and the basic test is only one question, and this question is the second question that is absolutely easy...

"I said Lao Xiang, the answer to this question is wrong, right?"

Because of the weirdness of the test paper, the marking teacher re-verified the answer and found that the standard answer was indeed wrong.The unification of scores has already started, but the previous test papers have been corrected with wrong scores. It is better for the marking team to correct them before the oolong is over, otherwise once the scores are announced, there will be no turning back.

"Which question?" The expert teacher who was asked buried his head in counting the points, but just responded without looking up.

As long as the scores of the basic paper and the thinking paper are added together, and the final process is completed as soon as possible, this year's Olympic gold, silver and bronze medals will be settled.This old Xu is purely looking for trouble.How can the question be wrong? With the answers verified by so many teachers before printing, it is almost impossible for such a small probability event as wrong question to happen.

"Basic volume, the second question, the answer should be 1588 and 1594."

"Have you checked it?"

"I'll tell you if I haven't done the math. It's not like you don't know what I do—stop everyone, there are problems with the previous test paper!"

"Don't worry, I'll do the math..."

【2 There are 34 even numbers. If one decimal place is kept, the result is 159. If two decimal places are kept, the result is ____1588____. 】He took Zhang's test paper casually, the number was 1588, and the answer was also 1588.Then use 1594 to check the calculation, and get 542 after rounding.

Hey, there really is a second answer!

"But it's not right. The last time I did the calculation, I obviously got an answer." He suddenly became suspicious, and read it again carefully, but he still didn't find the problem.He then ordered:

"Everyone stop first, and help me see where this question is wrong."

There are four experts and teachers in the elementary school group marking the papers, and the number of the marking group seems to be very small.In fact, for a test paper with more than 200 papers and only fill-in-the-blank questions and no application questions, four marking teachers are enough to cope.

The marking teacher named Lao Xiang was obviously the team leader. When he made a sound, everyone stopped, and the other two teachers also started to check the problem.However, the calculated answers are always different from the standard answers.

Lao Xiang, who couldn't find what was wrong, touched his head.

"Wrong, wrong, two words are missing here!" After a long time, one of the teachers pointed out.

The expert group marking teachers looked at the place he pointed together, [The lowest score is ________. ] The piece of paper he was holding was the original title just dug out...

OMG, the printed version is two words short of the original! [

"The word 'lowest' is missing." The skin on the team leader's forehead wrinkled into Jiang, and his brows into Chuan.

"This mistake is a bit big, what should we do now?"

They stop everything they are doing, look at me, look at you, no one can make up their minds.Although they are not responsible for printing, it is hard to say what kind of joint liability will arise, and it is not a good idea to blame other departments.Everyone has no enmity with each other, so peace is the most important thing in this kind of thing.

"Don't promote the original question. There is nothing wrong with this question now, but there are fewer students who dare to write two answers at the same time. Since the question is correct, they should be given points according to the correct answer. Students who dare not write two answers will not believe it. For my own students, the purpose of this question is changed to 'those who dare to eat crabs'..." The team leader began to correct this mistake.

The degree of difficulty of each question, what to test, and the number of scores, all aspects must be carefully considered before they can be put on the test paper.

In fact, the lack of two words does not hinder the difficulty of the whole question, and it takes twice as long to calculate two answers.It's just that most of the other questions have only one answer, and many students who have calculated two answers are afraid to start.In other words, this question not only requires careful calculation, but also requires students to dare to break through the rules. Only "bold and careful" students can answer this question correctly.

The expert group spoke in a unified manner, and suddenly felt that the oppression in the room was much lighter.One by one, they began to take out the folded test papers again, and specifically picked out the second question to make changes.

"Old Xu, it's really you who can find this kind of mistake."

Change a cross to a check, and a check to a cross, who will notice the question is wrong?This time, the revision of papers did not require much attention, and the revision team chatted leisurely.

"Yeah, thanks to you, how did you find out?"

"Hey," the teacher called Lao Xu smiled mysteriously, and took out two stacked test papers, "It all depends on this student."

"Limu?" The teacher fixed his eyes on the name.

"Yes, he is short of 8 points for the total score of the B papers. Isn't 8 points the minimum score for the question? The thinking ability test is full. I want to see which question made him stumble. Look at the results." Prehistory The example's full-score final test paper was retrieved from his own hands, and Lao Xu, who broke the record, smiled triumphantly:

"As a result, hahaha, we stumbled."

"Full marks for roll b?"

"Wait!" The old marking team leader quickly responded. Exam b is full marks, and the title of the exam is only 8 points away. Wouldn't it be better to change it back now?

"Isn't that student named Limu's b roll full now?!"

"This this"

"Isn't it a coincidence?"

"Let me see..." Having the same question as other teachers, the team leader dug out the entry materials of the elementary school group.The information includes an inch bareheaded photo, student details and the results of the previous two exams:

"Perfect score in the preliminaries and semi-finals, and... only ten years old this year!?"

"You're already in fifth grade at the age of ten?" Lao Xu had never read Li Mu's information. [

"A good seedling, a good seedling."

As it entered the final stage of unification and classification, the teachers also relaxed, and the office, which was not bad at first, became noisy... The working group in another office on the first floor finished correcting the test papers, and several teachers came out with a stack of test papers. Walking outside, the four people in the room were talking about something sparsely.

"What a good seedling, what a good seedling, haven't you finished changing it yet?" When I came in, I heard them chatting.

"How can you be so fast, the child of Dongling has been elected?"

Primary school Mathematical Olympiads have the largest base of students, and the older they get, the more desperate they are for Mathematical Olympiads.There were only more than 100 participants in the junior high school group and the high school group. The teachers in the marking group were responsible for less than 50 test papers on average. Naturally, the speed of correcting papers was faster than that of the elementary school group.

In addition to the selection of domestic awards, the national competition also has an important function, that is, to select students who participate in the international competition.Students who want to participate in the International Mathematical Olympiad cannot sign up by themselves, and the winter camp is the place where national Mathematical Olympians are trained.

"I've been selected, what about yours?" the junior high school teacher asked back.

"One has been selected." The team leader only naturally refers to Li Mu who has two full-score papers.

"It should be two. I have a second test paper with full marks here..." Old Xu was so proud.

******

From Tsinghua University to Peking University...Of course, what I'm talking about here is just sightseeing.

Li Muyao thought back to the winter vacation of his freshman year. In order to inspire his college life in the next four years, he spent some savings and took the train to Beijing with four classmates, just to visit the two schools of Tsinghua University and Peking University.

If the family had money at the time, and they could provide him with a chance to experience the learning atmosphere here before the college entrance examination, I am afraid that if he worked hard in the end, he would really be able to get half a foot, and be transferred to the philosophy department, education department, psychology department or something.

Although mo is suspected of "high fees, fake tourism", it is indeed focusing on inspirational education for students.They take students to experience the campus culture of Tsinghua University and Peking University, not pure tourism.

The itinerary started from the library to Boya Tower, Weiming Lake, the Centennial Lecture Hall, and the Revitalization of China Monument... The students who did not go home during the holiday talked and laughed on campus. The relaxed environment immediately made the students feel like "I want to go to Peking University" idea.

This time when I came to Zhengzhi in summer, the campus scenery of Peking University was so beautiful that there were shadows of trees dancing everywhere on the roadside, and an ancient pagoda stood among the trees, giving people a feeling of ancient gardens, and the unnamed lake was rippling and sparkling.All kinds of scenery are integrated with trees and lakes.

More than 200 students lined up in Haohaotangtang, and when they walked to the place, it was also very spectacular to sit down in all directions.Students from each competition area sit together to form a small group.In any case, the partners who have lived together for five days are also closer than other strange students.

"Don't be so stingy, you can't kill you if you correct the questions." The exam was over yesterday, and there are still students in the Beijing team who want to correct the answers.

"It is said that the questions are forgotten as soon as they leave the examination room. I can't remember which questions were tested, and I can't even remember the answers!" said his friend from the Beijing team.

It's not that this friend is stingy, it's just that he happens to belong to the type who can remember all the topics during study and forget all the topics during rest.

"If I believe you, I'll be two hundred and five." The student who couldn't understand this way of thinking was annoyed and frustrated, with a sad face and shoulders drooping, "It's over, you must be the first prize, and you have to go to the winter camp, I'm only the third prize... ..."

"I told you not to match the answers with others everywhere! How do you know if they are right or wrong?"

"You're not willing to answer me..." He had a lot of trust in his friend's strength, but it was a pity that he couldn't get the correct answer from him, so he asked instead, "Who do you think will win the championship this time?"

"I can't say that clearly, but there must be little hope for that little man over there."

Not far away, a little Douding was walking with a bag of trash, his height was in stark contrast to the girl next to him who was rushing to help pick up the trash.Underclassmen?It's very rare, and looking at that figure, it seems that I haven't reached the fourth grade yet!

After a while, the two walked to the trash can area. When passing by the Beijing team, the student who answered the answer stood up, patted him on the shoulder and said

"Don't worry, you are still young, keep up the good work!"

Unexpectedly, someone patted him on the shoulder and told him to "keep it up", Li Mu felt baffled for a moment.He half-understood and replied: "...Oh."

In view of the fact that after 12 o'clock tomorrow, she can leave freely as long as she submits an application, Limu asked Mo Moxin to book a flight ticket for her mother that night, and she can go to the Great Wall after a day off.At the same time, considering that Lu Hui had never been to Beijing, she made a phone call to inquire. Unexpectedly, Lu Wei and Li Shu were also by the phone, so she simply asked them to come and have a good time together.

Then I called Teacher Li again, hoping to book a ticket for her to watch the ceremony tomorrow.But Mr. Li refused on the pretext of going to the Great Wall and lack of physical strength. In fact, he was helping Limu save money, saying that as long as Limu could bring back a first prize, he would be satisfied.

That night, the women's group led by Mo Moxin came to Beijing to rest for the night.