After hearing this, Yu Qian looked confused and said subconsciously: "What kind of... question?"
Zhu Qizhen smiled faintly and said: "The first question is, pheasant and rabbit share a cage... Oh, no, it should be called pheasant and rabbit share a cage!"
"Pheasant...isn't it just a pheasant?" Yu Qian scratched his head and asked in confusion, "Since it's arithmetic, what's the difference between a pheasant and a chicken?"
"You're right, there is no difference, the chicken is dead!"
I don’t know why, when it comes to chicken, people can’t help but think of a lyric...
Zhu Qizhen shook his head to throw this strange idea out of his head, then pondered for a moment and said the title: "Today there are chickens and rabbits in the same cage, with thirty-five heads on top and ninety-four legs on the bottom.
Ask the chicken and the rabbit what their geometry is?"
In later generations, a chicken and a rabbit in the same cage is just the simplest linear equation of two variables. However, this problem is not modern. It was first included in "Sun Zi Suan Jing". At that time, who could solve this problem?
, quite capable.
He will definitely be called a miraculous strategist, comparable to Zhuge Liang.
After Yu Qian listened to the question, he fell into deep thought and did not respond for a long time.
Zhu Qizhen seemed to have expected this result, and said: "Actually, this question..."
"Back to the emperor, there are twenty-three chickens and twelve rabbits in the cage!"
This time it was Zhu Qizhen's turn to be in a daze. Really or not, you can also solve equations?
When Yu Qian saw that Zhu Qizhen didn't answer, he asked: "Your Majesty, did I make a mistake in my calculation?"
"Wait a moment!"
Zhu Qizhen picked up a pen and did a simple calculation on the paper, and determined that the answer was twenty-three and twelve, nothing wrong!
"Tell me, how do you calculate it?"
Yu Qian nodded and replied: "Thirty-five heads are placed on the top, and ninety-four feet are placed on the bottom. Half of the feet are equal to forty-seven. Use less to reduce the more, and order them again. The upper three divide the lower three, and the upper five divide the lower ones.
Five, there is one below divided by the upper one, and there are two below divided by the two above, that's what you get. I have a second solution, put the head on the top, the feet on the bottom, half of the foot, divide the foot by the head, divide the head by the foot, you get
."
Zhu Qizhen was shocked. In a short period of time, Yu Qian used two methods to solve the problem, especially the second solution... How did he calculate it?
Why does it sound like a Mathematical Olympiad? That’s wrong. I am the time traveler. Logically speaking, I should beat you up!
This situation now... makes it seem like you are the time traveler...
"You are very good at calculation, now listen to the second question!"
Zhu Qizhen walked back and forth for a few steps, thinking to himself, I have to make it a little more difficult for you this time.
"It's still arithmetic. Now there is an object whose number I don't know. When counting threes and threes, there are two left. When counting fives and fives, there are three left. When counting sevens and sevens, there are two left. What is the geometry of the object?"
This principle is called "things cannot be counted". It also comes from "Sun Zi Suan Jing". It is said that there are some items, but I don't know how many there are. If the number is 3 and 3, there are 2 more, and the number of 5 and 5 is more.
If 3 or 7 7 numbers are found, there will be 2 more items. How many of these items are there?
In later generations, this problem is also very simple, that is, find a natural number that is divided by 3 with a remainder of 2, divided by 5 with a remainder of 3, and divided by 7 with a remainder of 2. Anyone who has read junior high school can easily calculate this number. The smallest number is 23. p>
Sure enough, this question stumped Yu Qian. He frowned and closed his eyes, like an old monk in meditation, and did not move for a long time.
Zhu Qizhen thought to himself, I don’t believe it yet, but if you answer me again, I will ask you calculus!
After a full stick of incense, Yu Qian finally opened his eyes, feeling relieved and said: "Twenty-three!"
Zhu Qizhen was stunned again. Did you really answer him?
Do you really have to ask me to use calculus to control you?
But...I haven't learned calculus myself...
"Tell me, how do you calculate it?"
Yu Qian took a long breath, and then said: "If you count three to three, there are two left, and place one hundred and forty; if you count five to five, there are three left, and you place sixty-three; if you count seven or seven, there are two left, and you place thirty.
Combine them, and you get two hundred and thirty-three. Subtract it from two hundred and ten, and you get it. If you count three or three and there is one left, put it at seventy; if you count it by five or five, and there is one left, put it at twenty-one; seven
If there is one left after counting seven, place it at fifteen. If it is more than one hundred and six, reduce it by one hundred and fifty, and you will get it."
Zhu Qizhen's face was already a little ugly. After thinking about it, he seemed to have forgotten almost all the knowledge of calculus...
"Okay, listen to the third question. Today there is a wall five feet thick, and two rats pass through it. A rat's day is one foot, and a mouse's day is also one foot. A rat's day is twice as long, and a mouse's day is half a foot. Question: When will we meet?
What geometry do you wear?"
Although this question is not as good as calculus, it is still very difficult.
There is a five-foot-thick wall, and two mice are digging holes facing each other. The big mouse can dig one foot on the first day, and the same goes for the little mouse. Every day after that, the big mouse digs twice as fast as the previous day, and the little mouse digs one foot.
It is half of the previous day. Ask how many days it will take to break through the wall, and how much the big mouse and the little mouse dug respectively.
This is a problem of variable speed motion. The difficulty lies in the speed change. The mathematical methods of the ancients were limited and there were no tools like today’s algebraic functions. I don’t believe you can still answer it!
Even if you use the stupidest method and deduce it day by day, it won't work.
On the first day, the big mouse hit 1 foot, the little mouse hit 1 foot, a total of 2 feet, and 3 feet left;
On the second day, the big mouse hit 2 feet and the little mouse hit 0.5 feet. On this day, a total of 2.5 feet was hit. In the two days, a total of 4.5 feet was hit, leaving 0.5 feet;
On the third day, it stands to reason that the big mouse will hit 4 feet and the small mouse 0.25 feet. But now there is only 0.5 feet left to break through, so it will definitely be able to break through on the third day.
The key to the problem is that the third day is not complete. This 0.5 feet needs to be dismantled. The most difficult part is here. How do you dismantle it?
However, Yu Qian's next move shocked him again.
I saw Yu Qian taking a pen and paper and listing out a series of calculations. It seemed that this question was not as difficult as imagined.
Zhu Qizhen couldn't help but stepped forward to take a look, but found that... he couldn't understand!
It's like a system of equations and a matrix. In short, it's very mysterious...
This time, Yu Qian didn't waste much time and gave the answer quickly.
Zhu Qizhen stared blankly for a long time and asked helplessly: "Is there no problem in this world that can trouble you?"
"Why did the emperor say this? I just read some books other than the Four Books and Five Classics when I was studying, and I know a little bit about these arithmetic problems."
"Tell me, how did you solve the last question?"
Yu Qian pointed to the numbers on the paper and said: "Back to the emperor, this method is called the over-deficit technique, which specializes in solving various loss problems..."
After Zhu Qizhen listened carefully, he suddenly discovered that this overflow and underflow technique seemed to have the same effect as the equation.
The two are very similar, but not exactly the same. For a moment, I couldn't tell which one was better.
Suddenly, he became happy. He had been worried about a problem for a long time. It would be difficult to develop natural science in this era, and he would encounter all kinds of resistance. Even if he was the emperor and had supreme power, he could not
Change it as you say.
But now it seems that is not the case at all.
Take the most basic mathematics as an example. The ancients clearly did research, and the research was very in-depth. However, Zhu Yuanzhang stipulated that only the Four Books and Five Classics should be tested in the imperial examination. Scholars would not care about things other than the Four Books and Five Classics. As a result, many previous
The treasures left behind by people have been buried.
Especially in the Qing Dynasty, the imperial examination system became more stringent, and a literary inquisition was launched. In addition to the Four Books and Five Classics, any book may become a banned book, which led to a narrower knowledge base of scholars, and the situation of useless scholars became more obvious.
When the strong ships and cannons of the West knocked on the gate of the Qing Dynasty, the world knew what the outside world was like.
Therefore, from that era, people with lofty ideals began to study the West in all aspects. They learned the advanced ideas of the West, the science and technology of the West, and everything about the West, including their religious beliefs. At the same time, they would
The things left by my ancestors are regarded as dross, and I wish I could throw them all away.
The root cause of this problem is, of course, the Qing Dynasty's insularity and lack of ambition to make progress. However, if we look further, the Ming Dynasty's responsibility is not small.
In any era, you must never stand still, otherwise, you will be eliminated by the times, fall behind, and be beaten!
Therefore, Ming Dynasty’s transformation must proceed!
Even if my position as emperor is unstable, this change is inevitable!
"Yu Qian, thank you, you have helped me a lot!"
Yu Qian was confused. Are these three questions important?
Zhu Qizhen continued: "I don't want to say too much now. In a word, Ming Dynasty must make changes. This will be a war. Yu Qian, I need you to help me win this battle. Do you have confidence?
”
Yu Qian immediately said: "I will obey the imperial edict!"
Zhu Qizhen shook his head and said: "This is not a matter of compliance. I don't want to force you. You must know the importance and necessity of this change. If Ming Dynasty does not make changes, sooner or later, it will be stepped on by others."
At my feet, I don’t want to see this day, do you understand?”
Yu Qian nodded as if he understood, and said: "I...seem to understand!"
"Well, I'll give you this reform plan. You can improve it after you go down. We, the monarch and the ministers, will have a vigorous and bloody fight. If we win, we will be famous for centuries, and the Ming Dynasty will be glorious for hundreds of more years! If
If we fail, both you and I will become sinners in the writings of later generations of historians and will be infamy for thousands of years. More importantly, the Ming Dynasty will be on the road to decline. Therefore, we have no retreat in this battle. We can only win, not lose!"
Yu Qian saw Zhu Qizhen's serious expression and wanted to ask another question, but he didn't dare.
"If you have anything to say, just say it. I don't treat you as an outsider, so don't do it in front of me!"
Zhu Qizhen really has no reservations about modesty.
Not to mention the sins committed in his previous life, Yu Qian's role cannot be replaced by ordinary people just from his talent in governing the country.
"Then... I have one more question..."
Yu Qian asked cautiously: "I understand what the emperor means, but why is the emperor so urgent? The Northern Yuan Dynasty has been pacified, the border of our Ming Dynasty has been expanded to the Onan River, the Japanese pirates on the southeast coast have just been pacified, and those in the south such as Annan Kingdom, etc.
We do not have the strength to fight against the Ming Dynasty. The Ming Dynasty has neither internal nor external troubles at the moment. If we want to implement the New Deal, we should do it slowly. I wonder what the emperor is worried about?"
"You still don't understand!"
Zhu Qizhen slowly shook his head and said: "You should know how difficult it is to implement the New Deal. In fact, I have a plan for a long time, but I have been unable to implement it because it affects the interests of too many people. Fortunately, this time
The rebellion in Nanjing gave me an opportunity. If I don’t take the opportunity to make changes, I’m afraid it will be more difficult to implement them in the future.”
Yu Qian nodded and asked again: "I am worried that if the new policy is forcibly implemented, if it is serious, there may be a murder case..."
"If I want to make changes, I am not afraid of causing harm to people. Moreover, I have not forced those gentry to a dead end. Under the New Deal, they still have an absolute advantage. They have money and land, and they can open workshops or
In business, in short, as long as you work hard, the rewards you will get will not be less than you are now. What I want to get rid of are those who hold a lot of land in their hands, do nothing all day long, and only squeeze the people. They are trash and the scum of the country!"
When Yu Qian heard this, he finally understood why Zhu Qizhen was so eager to make changes.
If you want the country to be rich and the people strong, everyone must mobilize. Accumulating wealth by suppressing the people is not a good thing for the country.
If you do business and open a workshop, these actions will not only make money for you, but also create employment, and the people's lives will be better. Therefore, the emperor's plan encourages everyone to go out and take action.
If these changes can be implemented, the Ming Dynasty will be completely different at that time, and it will be a brand new world!
"Please rest assured, Your Majesty, I have issued a military order. If I am still alive, the New Deal will be carried out to the end!"
Zhu Qizhen nodded with satisfaction and said: "With you here, the pressure on me is much less. Since we want to change, we will start with the people's clothing, food, housing and transportation, measure the land, allocate the land into acres, and start in Nanjing and surrounding areas.
Set an example and then implement it nationwide!"
Yu Qian thought for a while and then said: "Your Majesty, I'll be honest, the Jinyiwei arrested too many people, and the number of officials in the Sixth Department of Nanjing was reduced by 30%. In some yamen, half of the people were gone, and there was no one... The work was not easy to carry out.
I suggest that these vacancies should be filled first."
Zhu Qizhen shook his head and said: "What are you adding? All six departments in Nanjing have been withdrawn, no more!"
"Ah?"
Yu Qian was stunned again, what happened?
"I said that the six ministries in Nanjing should be abolished directly, the Forbidden City should be retained, the Yingtian Mansion should be retained, and all other yamen should be removed. As for those officials... they just go to fill the vacancies of local officials. I have already drafted the edict and will issue it tomorrow." p>
Yu Qian's face was very shocked. Don't you want to go to Nanjing?
If you say you don’t want it, then you don’t want it?
As we all know, the Ming Dynasty had two capitals, one in Nanjing and one in Beijing.
After Emperor Taizong Zhu Di moved the capital, the city of Nanjing has been retained. As a companion capital, it exercised part of the power of the imperial court. Its biggest role is that if one day the city of Beijing cannot be defended, the emperor can withdraw to Nanjing, where there is a complete set of imperial court
The team can be put into operation immediately.
Historically, Emperor Chongzhen could have moved south when facing the Chuang King's army, but he finally chose to hang himself on the southeastern branch...