It was evening in a blink of an eye.
Zhu Biao had almost rested. As soon as he left the bedroom door, he saw Su Jing teaching Zhu Ju.
He walked over and saw that it was the question Kaos asked.
"Niu Su, this question may seem complicated, but actually it's not that difficult after you understand the core."
Su Jing drew a square diagram directly on one sheet. Of course, there were not as many rows and columns as 99 rows and 99 columns.
"The chess pieces should fill these squares and then move diagonally. As they move, there will inevitably be overlaps and chess pieces and empty squares."
"At first glance, every time I move, there is a huge mess, and it seems impossible to distinguish."
"But what if we separate each of these into black and white, adjacent grids, and black and white are used as distinctions."
As she spoke, Su Jing turned the square diagram into a black and white grid.
"Now, look at the movement of these chess pieces, Niu Su, have you found any patterns?"
Su Jing asked with a smile.
Zhu Rui's eyes lit up and he said: "Master Su, students understand, no matter how you move the chess pieces in the black grid, they cannot fall into the white grid, and the same goes for the chess pieces in the white grid."
Su Jing nodded and said: "Yes, this is the key to solving this problem. Do you need me to continue?"
Zhu Zhu shook his head and said: "No need, Master Su. The students want to solve the problem themselves."
"Well, then you can try it yourself again."
Su Jing smiled and said, he is still aware of Zhu Tie's strength. Once he understands this, the next steps should not be difficult.
Looking up, Su Jing saw the confused Zhu Biao.
"What's wrong, Niu Yi? Are you still awake?"
Su Jing asked with a smile.
Zhu Biao shook his head and said: "No, I just listened to it, but I still don't understand it very well."
Don’t pretend to understand if you don’t understand.
Zhu Biao didn't have any other ideas just because his younger brother Zhu Zhu was smarter than him in solving problems.
Compared with his suspicious father, Zhu Biao is still much bigger.
"It's okay, your brother Niu Su is really talented in this area."
Su Jing said, which was both truth and comfort.
"Master Su, I've solved it."
Zhu Ru suddenly said excitedly.
After Su Jing pointed out the key point, Zhu Ji's problem-solving process was smooth.
Su Jing took a look at Zhu Xi's problem-solving process. Indeed, the thinking was clear and the answer was correct.
"Yeah, that's right."
Su Jing nodded, and then handed the answer sheet written by Zhu Xi to Zhu Biao: "Next time you write a letter home, please take it with you."
Although Zhu Biao didn't say it directly, Su Jing had a rough idea of what Kaos meant by giving the question to Su Jing.
Romans, there were indeed many mathematical masters in history.
Asking some test questions is part communication and part discussion.
Zhu Biao took it and looked at the steps to solve the problem carefully, with a strange look on his face.
Because the solution to this problem was much simpler than he imagined.
A chessboard with 99 rows and 99 columns, with the grids filled with black and white.
Odd lines start with black and there are 50 lines in total.
Even-numbered lines start with white, and there are 49 lines in total.
Each odd-numbered row has 50 black squares and 49 white squares.
Each even-numbered line has 49 black characters and 50 white grids.
Therefore, the number of black grids in odd-numbered rows is 50x50 or 2500.
The number of black grids in even-numbered rows is 49x49 or 2401.
Therefore, when the pieces in the black grid move in odd and even rows, there will be at least 2500 minus 2401, which is 99 vacancies.
The number of odd-numbered rows of white grids is 50x49 or 2450.
The number of white grids in even rows is also 50x49, a total of 2450.
The two are exactly equal, and naturally there can be no vacancies during movement.
In this way, there will be at least 99 squares without chess pieces.
Zhu Biao understood without much effort that the calculation amount of this question was not large, it just required a little thinking.
"I understand, Master Su."
Zhu Biao nodded, with a proud look on his face.
The more powerful Su Jing is, the prouder he is as his student. The more powerful his younger brother is, the prouder his elder brother is.
"By the way, Master Su, can you also give me some questions?"
Zhu Biao asked Su Jing.
Kaos has already asked two questions, and Zhu Biao thinks Su Jing should return it.
Kaos, a Roman, used these strange questions to test Su Jing, so he couldn't solve the problem unilaterally.
"Niu Yi, I can't tell you are quite competitive."
Su Jing looked at Zhu Biao and joked.
Zhu Biao immediately replied: "Master Su, as a member of the Ming Dynasty, my student is naturally not willing to lag behind Rome. Moreover, Master Su's knowledge is far superior to that of Kaos, so he naturally wants to return the favor."
Even though Zhu Biao was tolerant most of the time, Kaos was a Roman after all.
Zhu Biao's sense of national pride is still very strong.
"Okay, then I will also give you a question."
Su Jing smiled and nodded, and then started searching in her mind.
What question is more appropriate?
Judging from the questions asked by Kaos, the difficulty is not particularly exaggerated, it can only be regarded as some basics.
Of course, this is for Su Jing, a modern person who has experienced nine years of compulsory education, three years of high school and four years of university.
In the Ming Dynasty, the difficulty of such questions was not bad.
After thinking briefly, Su Jing decided to come up with a Mathematical Olympiad question for the sixth grade of elementary school.
"Niu Yi, take a piece of paper and take notes."
Su Jing said to Zhu Biao.
"Yes, Master Su."
Zhu Biao immediately sat down and picked up the brush.
Su Jing said: "The content of the question is this. There are three grasslands, with an area of 5, 15, and 24 acres respectively. The grass on the grasslands is the same thickness and grows equally fast.
The first piece of grassland can feed 10 cows for 30 days, the second piece of grassland can feed 28 cows for 45 days, how many cows can feed the third piece of land for 80 days?"
As Su Jing finished speaking, Zhu Biao also finished memorizing the topics.
Generally speaking, the question stem is not complicated, it is just a cow eating grass problem.
There are not many variables, but if you really want to make it happen, you still need some thinking.
"Just remember it."
"Yes, Master Su."
Zhu Biao put away this topic and prepared to take it back with him for his next reply.
Niu Yi on the side asked: "Master Su, can I also try to solve this problem?"
"certainly."
Su Jing nodded and said, "But now we have to go eat."
In the private room of Jinling Hotel, Su Jing and three people simply ate hot pot.
It's late autumn, and it's really uncomfortable to eat hot pot around the stove.
Cut the fresh mutton into thin slices and rinse it in a clear soup pot. Even if it doesn't touch anything, it is extremely delicious.
The yellow tofu skin is rinsed in the red soup pot and immediately enveloped in the spicy and delicious flavor, making the eater feel full and hearty.
"Master Su, this mandarin duck pot is very clever."
Zhu Biao looked at a pot with red and white halves, and thought it was a brilliant idea to be able to enjoy both flavors.
The idea of the mandarin duck pot was naturally proposed and implemented by Su Jing.
Not only in the Jinling Hotel, but also in restaurants that have hot pot, all are rushing to imitate it.
There is no way, people have different tastes, so this way of eating two flavors in one pot has naturally become popular immediately.
Of course, for most people, red soup is better.
Because heavy physical labor will take away a lot of salt and energy from the body, the heavy oil and salt in the red soup pot meets their needs.
Oil and salt were both precious things in ancient times.
"Haha, the wisdom of diet is endless."
Su Jing smiled and rinsed another piece of mutton.
This Ming Dynasty mutton, let alone, is of high quality and very tasty.
In an era without technology and hard work, purely natural food tastes purely natural.
"Master Su, when I go home this time, my students heard that next year the emperor will tell the world that the imperial examination will begin."
While speaking, Zhu Biao said to Su Jing.
The matter of the imperial examination has always been in Zhu Biao's mind.
"Oh, that's alright."
Su Jing nodded and continued eating.
Zhu Biao asked: "Master Su once said that the evils of the imperial examination were harmful to the appointment of officials. Is there really no way to solve it?"
"What can be done about this? Didn't I tell you why you couldn't change it?"
Su Jing said lightly, not paying attention at all.
Zhu Biao put down his chopsticks and said to Su Jing: "Students think that if it is true as Master Su said, it would be better not to reopen the imperial examination."
Although the imperial examination for the eight-part examination was to select talents for the Ming Dynasty and assist the Zhu family in governing the world.
But the consequence of what Su Jing said is to hinder the development of science.
Without scientific development, productivity cannot be improved.
Productivity cannot be improved, and various problems and even the demise of the Ming Dynasty are inevitable.
That's why Zhu Biao made such remarks at this moment.
Hearing Zhu Biao's words, Su Jing stopped her chopsticks, raised her head and recalled, "It's okay. This imperial examination will not be very good. It will probably only be next year, and then it will stop."
Su Jing happened to know some about the history of the imperial examination.
Especially during the period when Zhu Yuanzhang was in power in the Ming Dynasty.
The imperial examination had just been reopened at the beginning, and the first batch of scholars selected had very poor results and had no ability to handle practical matters.
Lao Zhu waved his hand and stopped the imperial examination.
According to Su Jing's account, it seemed that it took almost ten years before the imperial examination was resumed.
This is why Su Jing was not in a hurry to talk about any reform measures after telling Zhu Biao about the disadvantages of the imperial examination.
This matter is still early.
However, when these words fell into Zhu Biao's ears, they became very shocking.
What do you mean only next year?
The imperial examination hasn't started yet, is it about to end?
Su Jing actually has such the ability to predict the future?
"Master Su, students don't understand why Master Su knows that this time the imperial examination will not pass before the imperial examination has even started?"
Zhu Biao asked Su Jing, with no trace of confusion on his face.
Su Jing continued to eat hot pot and said calmly: "What about this? You will know when the time comes. Anyway, next year will be very soon."
Su Jing couldn't explain anything.
You can't tell Zhu Biao that he read it in a history book.
It's better to leave some suspense and it will be revealed naturally when the time comes.
After hearing Su Jing's words, Zhu Biao stopped asking further questions.
If the imperial examination does not continue, it can be considered a good thing. At least the harm Su Jing mentioned about the eight-part essay taking office will come later.
There is also a lot more time to think about ways to improve.
"By the way, Niu Yi, I've almost finished the telescope your father asked me to make. You can send someone back."
Su Jing suddenly thought that she had made enough telescopes these days, so she mentioned it directly.
"I would like to thank Master Su on behalf of my father."
Zhu Biao said immediately.
Su Jing waved her hand and said: "It doesn't have to be like this. I know the usefulness of these telescopes. It can be regarded as my contribution to the Ming Dynasty."
"Master Su Gaoyi."
Zhu Biao praised again.
Su Jing was helpless, and she couldn't stop Zhu Biao's temper.
Forget it, high righteousness is high righteousness.
Soon, the three of them finished their dinner and left the Jinling Hotel. It was getting late.
The wind in late autumn is very cool.
Pedestrians on the street are also sparse at this point, and you can't see a few.
Fallen leaves were flying, and the dark road was very desolate.
"hurry up."
Su Jing said to Zhu Biao and Zhu Ru, while wrapping herself up.
However, Zhu Biao stopped at an alley because he saw two people.
To be precise, two beggars.
An old man and a young man, with only two clothes full of holes in their bodies, had two broken bowls in front of them, with nothing in them.
Even in Lishui County, beggars cannot be eliminated.
There is no way, this is the way of the world.
Zhu Biao walked up to the two of them, reached out and took out a piece of silver from his arms and was about to put it into the broken bowl.
However, before he could take it out completely, Su Jing had already stopped him: "Don't give it."
"Why?"
Zhu Biao said a little puzzled.
In his impression, Su Jing was very kind-hearted.
Su Jing said lightly: "You gave me too much."
After saying that, Su Jing took out a few copper plates from her sleeves and put them directly into the broken bowl.
"Thank you, sir! Thank you, sir!"
The old beggar immediately knelt down towards Su Jing, which was quite exciting.
It's hard to get money this autumn.
Most of the people who are kind-hearted give food like steamed buns.
"too much?"
Zhu Biao was puzzled.
Su Jing explained: "Niu Yi, do you remember what I told you? Wealth requires the ability to match it."
"If you give them this ingot of silver, their bodies will be exposed tomorrow."
As soon as these words came out, Zhu Biao's expression also changed suddenly.
"Master Su, it should be more than that."
Zhu Biao said with some disbelief.
After all, the Ming Dynasty has unified the land of China. This kind of thing should only happen during times of war.
Su Jing had long expected that Zhu Biao would have this question, and said, "Then just follow me and leave first. You will know later."
After saying that, Su Jing pulled Zhu Biao and Zhu Ru away from the street.
However, they did not really leave, they just hid around the corner at the end of the street, looking at the two beggars.
As the three people left, two young and strong beggars immediately walked straight towards the two beggars, one old and one young.
Although the distance was a bit far, Zhu Biao could still clearly see that the few coins Su Jing had given away were directly snatched away by the two new beggars.
The scene before him shocked him extremely.
Under the Ming Dynasty, it was okay to have beggars, but there was such a thing among beggars!
His anger suddenly rose, and he immediately wanted to rush out to settle the score with the two new beggars.
However, Su Jing immediately calmed him down with one sentence:
"Niu Yi, if you go out now, the only ones who will be unlucky are them."
(End of chapter)
