There is only one week left before the start of school, and teachers at Mengcheng No. 1 Middle School have already begun to prepare for the new semester.

Teacher Zhang, the head teacher of Class 1, Grade 3, is sorting out the final grades of last semester in the office.

Song Yiyang: Math 81, Chinese 75, English 90, Zhang Meng: Math 90, Chinese 85, English 86... Chen Shuxian: Math 95, Chinese 92, English 96... Chen Shuxian is the best in the class

She is a student, but during the home visit, Chen Shuxian's parents planned to let her study abroad, so she would not be able to take the college entrance examination. Teacher Zhang was a little pity.

Yang Hui: Mathematics 75, Chinese 80, English 85... Li Mo: Mathematics 70, Chinese 75, English 73...

Calculating the students' scores, Teacher Zhang was a little worried. The scores of the students in Class 1 and Class 1 were much lower than the scores of Class 1 and Class 1 and Class 2. He knew the reason. When the high school opened separate classes, the school gave many students

The good seedlings were all assigned to Class 1, Grade 1.

This is something that Teacher Zhang knew when he took over the Grade 1 and Grade 3 classes, and it was also a big hole dug for him by the school’s academic director.

Even though he knew it was a big trap, he still jumped into it without hesitation, because in his opinion, teachers are good at teaching. Good students should be educated well, and bad students should be educated attentively.

Reality taught him a hard lesson, and then the school announced that the head teacher of the class with the best college entrance examination results each year would be awarded a 120-square-meter house.

House...he wants it so much. He still lives with his father-in-law and mother-in-law. Although the two old people are very kind to him, he has long wanted a house of his own. His wife is also in his ear

He muttered many times, but looking at the house prices outside of more than 10,000 yuan, he knew that he could not even pay the down payment.

After calming down, Teacher Zhang began to prepare for various matters for the start of the school year. He remembered Li Mo's prank call. It seemed that he was going to visit Li Mo's house before the start of school. There was also a visit to Chen Shuxian's house. After all,

is the best student.

"Hey, let's look at the report card. Your class's average score is 10 points lower than ours. The house in two years' time will be mine."

"The dean of academic affairs is my cousin!"

"Old Zhang, you'd better stop worrying about the house, save your brain cells, and live for two more years!"

The visitor was none other than Luo Peifen, the head teacher of Grade 11, a 50-year-old woman with makeup and powder. Her brother is the dean of academic affairs at the school.

Teacher Zhang ignored her and just took the student's information and walked out. He wanted to take it home and study how to help the students improve.

When he woke up, he felt refreshed. Although Koraz's conjecture had been proven, the paper had not yet been compiled. Li Mo did not bother to eat breakfast and started writing the paper.

Title: On the establishment of the conclusion "For every positive integer, if it is an odd number, multiply it by 3 and add 1; if it is an even number, divide it by 2, and so on, you can eventually get 1."

Abstract: This paper realizes the proof of the thesis through double-negative induction.............

text:

n is an even number, n/2 is an even number,..., divided by 2 to 1; n is an even number, n/2 is an even number, until n divided by 2 raised to the power of X, it becomes an odd number. We divide n by 2

The power of

...........

n is an odd number. n

decreasing) until n(n1)/2 is an odd number.

Because: n is an odd number, and only if (n1)/2 is an even number, 1n(n1)/2 can be an odd number.

n is an odd number, n(n1)/2 is an odd number, continue below:

n(n1)/2 is an odd number, ×2×112nn1n(n1)/21, is an even number, divide by 22n1(n1)/4

Continue with the two situations, if it is an even number, if it is an odd number, if it is an even number, cycle 1, 2, (anyway, the number is decreasing when it is an even number)

, until 2n1(n1)/4 is an odd number. Transform to n(n1)(n1)/4

Because: n is an odd number, n1 is an even number, and only (n1)/4 is an even number, nn1(n1)/4 can be an odd number.

............................

............................

............................

n2(n1)(n1)/4(n1)/8 is an odd number, ×2×11

10n8(n1)/8, which is an even number, divided by 25n4(n1)/16

2n4(n1)(n1)/2(n1)/4n2(n1)(n1)/4(n1)/81

n4(n1)(n1)/16

Infinite loop until (n1)/2 gets x power = 1

The proof is now complete.

It can be determined from this that for every positive integer, if it is an odd number, multiply it by 3 and add 1; if it is an even number, divide it by 2, and so on, you can eventually get 1. This conjecture is completely correct.

Author: Li Momengcheng No. 1 High School, Class 1, Class 3

The primary study paper writing function in his head is really easy to use. Li Mo almost finished it in one go. He checked it carefully again to make sure there were no mistakes.

He took out the piggy bank he had hidden under the bed, counted it carefully, and found that there was still 205.6 yuan. He took out 20 yuan and still had 185.6 yuan left, and was going to print out the paper and mail it out.

The money in the piggy bank was saved from the few meals he usually had. He originally planned to buy a new basketball.

His New Year's money every year was confiscated by Li Mo's mother in the name of safekeeping. The New Year's money was given to relatives' children, so Li Mo didn't complain too much.

There was a knock on the door. Li Mo opened the door and saw Li Mo's mother outside carrying a fruit plate.

"Son, you are tired from studying. Eat some fruit."

Li Mo took a step back, he was frightened by this super treatment.

"Mom, come in and sit down." Li Mo moved the only chair in the room over.

"Mom won't sit down, just to see you studying these days? Are you being stimulated by something?"

"Study is important, and health is even more important. How about you take a break and go play basketball in the afternoon?" Li Mo's mother asked softly.

Li Mo didn't know whether to laugh or cry. It was his mother who "forced" him to study with sticks all day long. Now it's the same mother who persuades him to go out and play.

"It's okay, Mom, I'm in good health. I want to review all the books before school starts." Li Mo doesn't have much time to go out and play now. He read two more books today and earned 20 points each time.

Seeing the points being credited, Li Mo felt like he was playing a game.

It feels so good!

Li Mo had already used one of the two cans of coffee obtained from the lottery, and wanted to keep the remaining can. He discovered that it was a liver-exploding weapon.

Before dinner, Li Mo read two more history books...and earned 20 points.

Li Mo's father came back a little early today, and it was rare for the family to sit down and have dinner together.

"I heard from your mother that you have been studying these days?" Li Mo's father hesitated for a long time and asked.

"Well, I'm going to review it before school starts." Li Mo made an excuse.

"Today, Manager Chen in the factory, who used to live next door, gave me a ticket to the Municipal Planetarium. He wants you to take his daughter to visit tomorrow." Li Mo's father hesitated and said.

"Since you still want to read, I'll call you and refuse for you."

I? Chen Shuxian? Municipal Planetarium? Chen Mo is a little confused.

"Cough...cough...no...decline!" Li Mo's mother heard Lao Li's words and quickly stopped her despite almost choking on the porridge.

"Think about who Lao Chen is, your immediate boss. I heard from Chen Shuxian's mother that Lao Chen is going to be promoted again. Who has been as fierce as you in the workshop all his life? If you offend him, you will take advantage of him?"

"

"Chen Shuxian is so good at studying. It's great to be able to learn from others together."

"Besides, the ticket to the Municipal Planetarium costs more than 100, right?"

"How can you not do such a good thing?"

Li Mo's mother swallowed the mouthful of porridge and spoke like a machine gun.

Lao Li looked at Li Mo and wanted to know his decision.

"Okay, I'll pick her up at Chen Shuxian's house early tomorrow morning." With that said, Li Mo took the ticket.

When I was reading, I didn’t realize that spring was already deep. Every inch of time is worth an inch of gold. It’s not the Taoist who comes to make people laugh, but Zhou Qing and Confucius are pursuing it.
Chapter completed!