Seeing Zhang Cang handing over the bamboo slips, he also said that the bamboo slips were the arithmetic problems that Zhang Cang gave to his grandson, and Liu Ying wanted to take it happily.

But after hearing Zhang Cang's later addition, Liu Ying's outstretched hand was unconsciously suspended in the air, neither stretched nor contracted······

Five-year-old children, have already begun to learn chickens and rabbits in the same cage?

What are the international jokes!!

You must know that even in the new era of universal nine-year compulsory education, which has almost eliminated the illiterate group, the 'exercises' of five-year-old children are still only addition and subtraction within ten!

As for chickens and rabbits in the same cage, that is not at all what students should be involved in before going to school, or even before middle school.

The reason is simple.

——In essence, it has been preserved by the "Nine Chapters of Arithmetic" and passed on to the classic title more than 2,000 years later: the chicken and rabbit in the same cage, in fact, it is what later people often call the binary equation.

At that moment, the bamboo slip that Liu Ying took over embarrassingly took is an example: there are twenty-seven chickens and rabbits, with a total of eighty-four legs;

Then, according to the solution of the binary equation commonly used by middle school students in later generations, the number of chickens and rabbits should be set to x and y respectively.

Then, the following two equations can be derived.

x+y=27；

2x+4y=84.

Then by solving the binary equation and solving the values of x and y respectively, we can know how many chickens and rabbits there are.

And at this moment, even though it has been more than ten years since she came to this era, Liu Ying still has not forgotten: solving binary equations is clearly a junior high school course!

As for the problem of chickens and rabbits in the same cage, it often appears in the math olympiad or the last big question in the math exam!

Such a memory made Liu Ying unable to believe that the binary equation that would take a teenager to learn in later generations was actually a five-year-old child who had to learn it before this academic barren Western Yuan.

Thinking of this, Liu Ying roughly reacted: What is the situation?

"Someone!"

Without warning, a light sigh suddenly made the originally relaxed atmosphere in the hall tighten, and the palace maids, eunuchs, and Lang officials in the hall were all startled, and then they all raised their heads and looked in the direction where the imperial couch was.

As for Cao Shen, Wang Ling, and Zhang Cang, after all, they were important ministers of the Zhu State, among the ministers, and they had also served as Liu Ying's emperor's concubine, but they were not frightened.

But even so, the three of them raised their heads in unison, and cast their suspicious gazes on Liu Ying's face that had grown a little beard.

- Just like that, Your Majesty won't be furious and ask for guilt at every turn, right?

Without waiting for the three of them to figure out this question, they saw Liu Ying get up from the couch and wave to the outside of the hall door and the side of the hall.

"One person who enters the halberd, one maid and one temple, to ask me what I want."

Seeing that Liu Ying had made his intentions clear, everyone in the hall breathed a sigh of relief, looked at each other again, and after a while, they sent **** to the center of the hall.

"Weiyang Palace Halberd Lang Chenmao, see Your Majesty!"

"Slave green lotus, slave okra, see Your Majesty's ······"

After the three of them had each seen the salute, and solemnly bowed to Cao Shen and Wang Ling, Liu Yingcai raised his head with a light smile and looked at the halberd man who called himself 'Mao'.

"Halberd Lang Qian Mao, father Qian Ning from Dangjun, from Emperor Taizu Gao into Xianyang; After the death of Chang'an, the widow of the young son Mao, Emperor Taizu Gao sympathized, so the shade for Lang. ”

"In the eleventh year of Emperor Taizu Gao, the acting minister Chen Xuan rebelled, and Mao rode with him, no matter how big or small, he was quite trusted by Emperor Taizu Gao; When he returns to the court, he will be picked up and plucked as the halberd ······"

Almost without thinking about the origin of the Daoming Halberd Lang, Liu Ying ignored the slightly surprised eyes of Cao Shen and Wang Ling, and looked at Qian Mao with a pleasant face.

"Qing doesn't have to be restrained, what do I say, and Qing will answer truthfully."

Qian Mao was a little excited that Liu Ying could remember his name and even close his eyes and tell his origins.

Hearing Liu Ying's words, Qian Mao straightened his waist straight, and he couldn't bend it upside down into a bow, with a pair of 'Your Majesty greets you casually, and the minister will not hesitate!' 'The stance.

Seeing that Liu Ying smiled lightly again, she didn't even forget to glance at Zhang Cang meaningfully, and then looked at Qian Mao thoughtfully.

"When the acting prime minister Chen Feng rebelled, Qing once followed Emperor Taizu Gao's drive, and the previous generations and Zhao put down the rebellion; And because of the merit, Emperor Taizu Gao was fortunate and was promoted to the halberd Lang, so he should have a little understanding of the affairs of the army? ”

asked in a calm tone, and when Qian Mao nodded without hesitation, Liu Ying finally sat back on the couch again, and asked the question that made Qian Mao regret it for life, and he was entangled until he died, "Why didn't you answer it?" ' question.

"I heard that the army of my Han family was mostly defended by foot and chariots, and attacked by bows and crossbows, and when the Northern Barbarians were fighting, they abandoned the chariots and focused on bows and crossbows."

"I also heard that when the Han family fought in the Northern Barbarian Huns, the heavy foot soldiers had a shield and a sword, and then they had to hold a light foot and spear to respond; After the infantry, the crossbow is fired flat from the front, and the bow is thrown from the back. ”

"And the bow and crossbow pawn are different in each battle."

"- Twenty arrows of the archers, three of them were shot in the first battle, seven after a long battle, five after a hard battle, five after a hard battle, and the last five feathers were shot at the death;"

"And the crossbow, it is a little more generous, fifty arrows, ten in the first battle, and ten in the second battle, where the officials do not stop, the crossbow of my Han family will not break the string and will not stop."

"But so?"

As if he was not sure what he had heard, he asked a question, and then looked at Cao Shen and the three of them separately, Liu Yingcai finally sighed and asked the last question.

"Even if this is true, Qian Jilang is familiar with the affairs of the army, so I will ask this question."

"Yan an army, and two thousand bows, according to the rule, when a person with a bow and feathers twenty, a total of forty thousand."

"However, the enemy is cunning and cuts off the grain channel of my bowmen, and the bow feathers cannot be lost, so I have to use the arrows of the crossbowmen temporarily."

"Therefore, there will be an order: all the crossbowmen in the army will have eight crossbow arrows, and they will use them with the bowmen, and they will eventually get 40,000 crossbow arrows."

"Ask, in this army, how many crossbowmen do you have?"

Asking questions without changing his face, and glancing at Zhang Cang without a trace, Liu Yingcai looked at Qian Mao's stunned face with a look full of encouragement.

But no one noticed: After Liu Ying asked this question, Qian Mao was not the only one who was stunned.

- but everyone except Liu Ying!

For those palace ladies and eunuchs, no one knew what this question meant;

Everyone just thinks that His Majesty suddenly asked a question about the army, and he clearly wanted to hint at something!

However, for Cao Shen, Wang Ling and other loyal ministers of the Zhu State, especially for Zhang Cang, who is proficient in "Nine Chapters of Arithmetic" and can be called the only arithmetic master in the Han family today, this question is really familiar.

- Chicken with two legs, rabbit with four legs, chicken and rabbit in one cage······

- Crossbowmen can each take out eight crossbows, and archers need twenty crossbows each, and the crossbowmen are all in one army······

"This!"

"It's clear!"

Realizing the 'scramble' of this problem, Zhang Cang only opened his eyes wide and looked at Liu Ying with disbelief!

Then, Zhang Cang looked at Qian Mao anxiously, and he couldn't wait to step forward in person and tell Qian Mao the answer to this question for him!

But it's a pity: this question was asked by Liu Ying to Qian Mao alone······

No matter how anxious Zhang Cang was, he could only watch Qian Mao ponder for a long time, and finally lowered his head lonely.

"Minister, you can't ······ it"

A tone that clearly revealed unwillingness, regret, and faintly sad sounded, which finally provoked Zhang Cang to close his eyes in despair.

But even so, Zhang Cang couldn't avoid the top of the imperial steps, and Liu Ying's indifferent tone came again.

"The Marquis of Beiping is proficient in the way of counting, when you ask here, there is a solution?"

Seeing that Liu Ying still had the leisure to ask about himself, Zhang Cang was unwilling, so he had to get up, as if he was unwilling to give up his hand to Liu Ying.

"Your Majesty's eyes are as wise as a torch······"

"If there are eight crossbowmen, and if there are forty thousand, it will be five thousand."

"If the solution recorded in the "Nine Chapters of Arithmetic" is also possible, 'the archer needs twenty arrows, and the crossbowman needs eight, then one archer, and two and a half crossbowmen need to borrow arrows; and two thousand bowmen, and two and a half crossbowmen, and two and a half crossbowmen, and two thousand, five thousand crossbowmen and arrows······.

Hearing that Zhang Cang was in the blink of an eye, he used two ideas to solve this problem, one simple and one difficult, but Liu Ying only smiled lightly and nodded, and then waved his hand lightly, signaling Qian Mao to retreat.

Then, Liu Ying's eyes fell on the palace maid named Qinghe and the old eunuch who called himself 'okra'.

"And you two, I also asked; But if one of you answers this question and gets the right answer, I will give you ten gold each! ”

dropped the bounty without hesitation, and Liu Ying didn't think much about it, so she threw out another question.

"At the beginning of the year, I want to appreciate the palace people, based on the age of entering the palace: one year old in the palace, a hundred dollars, two times old, ten times the age of ten years."

"And this '100 yuan a year' reward is a comparison for the powerful traitor in the palace, and for every 100 yuan I reward, this traitor will draw 5 yuan."

"There is a person in the inner temple, who has received my reward, and the reward money he has received has been drawn by this traitor, and there is more than one thousand one hundred and forty dollars."

"Question: What year did this inner temple enter the palace?"

When the question came out, Zhang Cang's face only sank again, frowning and lowering his head, not knowing what he was thinking.

As for the two people who were questioned, as Liu Ying expected, they didn't focus on the question itself at all, but as soon as their words fell, they quickly knelt down and kowtowed to thank them.

"How dare the old slave be rewarded by His Majesty with '100 dollars a year'?"

"But with this reward, the old slave will not dare to accept it, and all of them will be included in the Shaofu for the use of the community······"

stumbling to say this, the old eunuch didn't even forget to swallow greedily, and at first glance, it was not a short time to enter the palace;

As for the little palace maid, she couldn't say a word excitedly, she only lowered her little head and smashed it on the wooden floor in the hall.

I don't know how long it took to wait for Liu Ying to be a little impatient, but finally the old eunuch raised his head with a smile and gave his own answer.

And this answer was clearly for Liu Ying, but in the end, it was Zhang Cang······

"Thanks to Emperor Taizu Gao and His Majesty the grace of the second Ming Monarch and the Lord, Yu Your Majesty's question, the old slave, dare not deceive."

"The old slave was purified at the age of seven, and he entered the Qin Palace Xianyang at the age of nine;"

"After Emperor Taizu Gao broke through, he saw that the old slave was still his duty, so he allowed the old slave to serve in the palace, and came for more than 40 years·······"

"In the past few decades, the old slave has seen countless dignitaries and dignitaries, that is, Qin Wangzheng, the second Hu Hai, and the third son, and the old slave has also seen it."

"Old Slave ······"

Halfway through speaking, he saw that the old eunuch stopped talking with an embarrassed face, and looked at Cao Shen, Wang Ling, and Zhang Cang on the side with some shame.

When Liu Ying coughed lightly and signaled to continue talking, the old eunuch looked like a newly married girl, and lowered his head shyly.

"The old slave purified his body because his family was poor······

"The old slave has never been able to read and write·······

"The word "Cangjie", the old slave only heard the words of others, but never saw it in his eyes, even if he saw it, he was afraid that he would not recognize it."

"For such a vulgar person as the old slave, His Majesty actually asked each other with the study of counting, which is really a bit ······"

"Uh······"

"Somewhat ·········"

Seeing that the old eunuch was humming for a long time, he couldn't think of the words 'too lifted', Liu Ying finally waved his hand slightly and asked the two to step back.

In the hall, when it was restored to the scene where only Liu Ying sat on the imperial couch and Cao Shen, Wang Ling, and Zhang Cang sat under the imperial stairs, Liu Ying raised his head with a smile and looked at Zhang Cang again.

It's just that this time, Liu Ying's smile is no longer full of easy-going and elegant before, but faintly with a little bitterness and helplessness······

"Seeing the attainments of these three people in 'counting', how does the Marquis of Beiping feel?"

The tone of voice asked easily, and seeing that Zhang Cang was still bowing his head and indifferent, Liu Ying only shook his head and smiled, and continued to himself: "Halberd Lang, subordinate to Lang Zhongling, rank six hundred stones; ”

"But if there is a war and it is released, it can be marked by the general."

"However, even if this 600 stone forbidden Zhonglang official is a general who leads the army, and he is also helpless in the mouth of the Marquis of Beiping, 'It is easy for children in the general corner'."

"And the maidservants in the palace and the inner temple, although they are illiterate, but finally immersed in the palace for many years, they deserve to be called "well-informed", but they are also faced with the difficulty of "passing easy", and they cannot solve it······"

As she spoke, Liu Ying's tone became a little serious, and seeing that Zhang Cang's face was still unwilling, Liu Ying simply got up from the couch and walked down the stairs.

"Today, I want to say that the Marquis of Beiping is a person in the world, not everyone is smarter than the youngest grandson of the Marquis of Beiping, and not everyone is smarter than the Marquis of Beiping.

After speaking, Liu Ying had already come to Zhang Cang's side, and while reaching out to help Zhang Cang up from the ground, he did not forget to say in Zhang Cang's ear half-jokingly and half-meaningfully: "I volunteer that one day, all the people of the Han Dynasty will be smarter than the young grandson of the Marquis of Beiping." ”

"However, today, the Marquis of Beiping should also know that this examination is a young official with a rank of 200 stones, and it is also promoted among the people, such as scholars, farmers, and workers."

"The knowledge of this generation is not as good as that of the Marquis of Beiping, and the princes of the court; It is also difficult to compare with the ups and downs of the court for many years, and the old officials who are proficient in government affairs. ”

"However, my family needs the strength of this generation·······"

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