Chapter 55

The final phase of the winter camp CMO is scheduled to be held on February 26th and 27th.

The rules and schedule are consistent with IMO.

The CMO competition is held on two days, four and a half hours each day.

There are a total of six questions, and candidates need to answer three of them every day.

The difficulty of the test questions is similar to IMO.

The only difference between CMO and IMO is in the scores of test questions.

IMO each question is worth seven points, and the total score is forty-two points.

However, in order to conform to the cognitive habits of Chinese people, CMO changed the score of each question to 21 points, so the total score became 126 points.

But these are irrelevant.

What is important is that the Chinese Mathematical Society will select the Chinese national team consisting of 6 regular players and 1 substitute player from the remaining 97 players based on the results of this CMO to compete in the IMO.

In the international competition arena, bring glory to the motherland.

They are all passionate young men of seventeen or eighteen years old.

Winning glory for the country, these four words are enough to make their adrenaline surge.

Each and every one of them has been preparing desperately for the battle these days, as if they had been given a shot of blood.

When the liver is bursting, it feels good for a while, and when the liver is bursting, it feels good all the time.

Everyone is trying their best to get the qualification to be selected for the national team.

…

The night before the Chinese National Mathematics Olympiad.

A dozen coaches gathered at a table in the hotel to eat.

"Coach Zhao, your seat as the leader of the national team should be secure this time, right?" An older coach raised his glass and gestured to Zhao Kun, smiling.

"I think so, based on personal ability and teaching level, the national team leader must be Coach Zhao." Another team leader also agreed with a smile.

Among the dozen or so people present, except for Zhao Kun, the other coaches had long since withdrawn from the first-tier competition to lead the national team.

But Zhao Kun is different.

In terms of personal strength, apart from the pervert Gu Lu, among the more than 60 remaining coaches, Zhao Kun is enough to rank in the top two.

In terms of teaching ability, there are still nine provincial team members in Jiangsu and Zhejiang provinces, and this number ranks only behind the Modu provincial team.

Therefore, as long as there are not too many players in the Jiangsu and Zhejiang provincial teams who make mistakes in the next two days, it is very likely that Zhao Kun will get the seat of the national team leader.

Therefore, everyone took this opportunity to come over and fawn over him.

Zhao Kun was a little arrogant after being boasted by several people, but he still waved his hand modestly, "It's an undecided matter. No one can say who will hold that position until the results come out."

"Besides Coach Zhao, who else is qualified to sit in that position?" A coach asked, "Can it be Gu Lu? There are only two students left in his provincial team!"

"Hahaha, Lao Wang is right. No matter how good Gu Lu is, can he still get two of his students to be selected for the national team? This is nonsense!" Another coach laughed heartily.

Originally, mentioning the word "Gu Lu" made Zhao Kun's originally happy mood become much duller.

But after listening carefully to what people said, and then thinking about Gu Lu's current situation, he couldn't help but feel happy.

No matter how strong your personal strength is, what's the use? In the end, you will still lose to me!

Zhao Kun has already thought about it.

When he gets the job of leading the national team, he must show off in front of Gu Lu.

Only in this way can he resolve the depression in his heart caused by being crazily crushed by Gu Lu over the past month.

…………

On February 26, CMO officially started.

The exam is held in the afternoon.

The time is from one to five thirty.

Four and a half hours, three questions.

On average, each question takes one and a half hours.

This time seems very long.

For these 96 top students who were chosen from among the crowd, it would be no problem to finish three or four sets of college entrance examination papers in one and a half hours.

But for difficult Olympiad questions, this time is just enough.

"Teacher Gu, you didn't look like you had a good rest last night!" Zhao Kun walked over with a smile and came to Gu Lu, who had dark circles under his eyes.

Gu Lu patted Bi Qi and Ma Zhengxuan on the shoulders. When he saw them walking into the examination room, he turned his attention to Zhao Kun.

The corner of his mouth curved, "Teacher Zhao looks good today!"

Zhao Kun smiled and said, "If you are in a good mood, you will naturally look good."

"Teacher Gu, were you too worried about the performance of your provincial team members last night, so you stayed up late and couldn't sleep?" Zhao Kun approached Gu Lu and said, "Teacher Gu, this is not okay, I think you still

Look at it, your body is the most important thing!"

Gu Lu did stay up very late and went to bed last night.

But it’s not that I’m worried about Bi Qi’s performance, but that I’m... rushing to write my paper!

That's right, there are only more than two months left before the deadline for the paper that proves the Cohen-Lenstra conjecture.

But at present, due to recent concerns about winter camps, the progress of proving the Cohen-Lenstra conjecture is less than half-way.

Considering that I still need to go abroad for a few days.

Gu Lu could only experience the comfort of staying up late to work on his thesis again after a year.

"I'm not worried about the performance of my two team members. I'm assured of their strength." Gu Lu smiled.

"Mr. Gu, do you still stubbornly believe that your two students can create a miracle and both enter the national team?"

"This is not a miracle, it is a fact."

"Haha." Zhao Kun shook his head, "Then Zhao, let's wait and see!"

After saying that, Zhao Kun turned around and left.

Gu Lu just looked at Zhao Kun's back with calm eyes and smiled faintly.

"I'll let you see it."

Gu Lu whispered to himself.

…………

[Suppose X is a 56-element set, find the smallest positive integer n, such that for any 15 subsets of

, their friendship is not empty.]

This is the first question on the first day.

Many candidates who were so excited that when they saw the question, they felt like a basin of cold water poured down and they calmed down.

Then, start thinking about how to solve the problem.

The first question is a relatively simple question in comparison.

But an hour and a half later, more than half of the students were still stuck on the first question and their thoughts were confused.

For these people, it can be said that they have completely lost their qualifications to compete for the national team.

To be included in the six-man national team roster, according to previous standards, a total score of 126 points must be at least 110 points or above.

As long as you get a wrong question worth up to 21 points, it means failure and elimination.

Bi Qi's heart calmed down, he calmly took the scratch paper, leaned on the table and started calculating.

With the experience of the high school mathematics league, Bi Qi has developed a test character that avoids arrogance and impatience.

When answering questions this time, he didn't want to make many unnecessary and stupid mistakes because of carelessness like last time!

………………

PS: The reward amount has been increased to fifteen yuan!

[A balance has several weights with integer masses, and it needs to be able to weigh any integer heavy object from 1g to 55g. If any two weights are removed, the remaining weights can still meet the demand. Please tell me

, how many weights does the balance have at least, and what are their weights?]

This was yesterday's topic, and no one has done it yet.
Chapter completed!