Three Kingdoms: The Guan Family's Rebellious Son, Long Blessing Jing Xiang

Chapter 106 Eyeliner is everywhere, chickens and rabbits are in the same cage, what is the solution to this problem?

Mi Fang's son - Mi Yang.

Not only because of the name, but also the amazing mathematical talent he showed in calculating the exchange of grain and gold and silver, all of which made Guan Lin look sideways.

In fact, Guan Lin is aware of an inescapable topic facing the rise of the Shu Han.

That is... green and yellow.

There is only such a group of people who can be beaten, and then there are three or two kittens, and the next one... It's gone!

There is no general in Shu, and Liao Hua will be the vanguard.

It is also based on this that Guan Lin will pay special attention to some talented young people in the Jingzhou area.

Guan Xing, Guan Yinping, and Guan Suo are in this series.

Ma Bing, barely half of it!

As for... this Mi Yang!

After asking him the small character "Luo Geng", Guan Lin became more interested in him.

Mi Yang also seemed to have noticed Guan Lin's interest in his "small characters", and immediately explained.

"When my father gave birth to me in the past, the upright Uncle Liu Huang was overthrown, when the army was defeated, and in times of crisis..."

"Father named me and wanted to choose an auspicious name. There is a saying in Donghai, Xuzhou, my hometown, that is to put the newborn child in a basket, and then put another basket on top, so that disasters will be eliminated. Refuge, life is auspicious. My aunt proposed to name me, enter the 'basket' basket to ward off evil spirits, and be the same as 'Geng' for a hundred years, and the small characters should be 'Luo Geng'!"

Well…

Hearing this, Guan Lin exhaled slightly.

He pondered, there was a great mathematician in later generations, his hometown was from Jiangsu, if converted to the Three Kingdoms period, that would also be Xuzhou!
He is still from the same hometown as this Mi family!

It can be seen... From ancient times to the present, Xuzhou's academic spirit of mathematics has become a common practice!
"Have you read "Nine Chapters on Arithmetic"?"

Guan Lin asked directly...

"I have been fond of mathematics since I was a child, and I have studied it repeatedly, whether it is "Zhoubi Suanjing" or "Nine Chapters of Numeracy."

Mi Yang said truthfully: "In the nine chapters of "Nine Chapters of Arithmetic", there are 240 six mathematical problems. I dare not claim to be well versed in it, but I claim that... I will not be tested by the mathematical problems mentioned in it!"

——"What a big tone! 』

Guan Lin looked at Mi Yang with great interest, and he continued: "Then I will test you. If you count three or three, you will get two, if you count five or five, you will get three, and if you count seven or seven, you will get two. How about things?"

This…

Mi Yang was slightly taken aback, he thought for a while, and immediately replied while deducing:

"The remaining two of the number of three and three, put 140, the remaining three of the number of five and five, put 63, the remaining two of the number of seven and seven, put 230. Combine it to get 210 three, and subtract it from [-] to get it."

Speaking of this, Mi Yang raised his head: "The answer is... 23!"

Hey...that's right!

Guan Lin was not surprised by Mi Yang's answer, but Guan Lin was slightly surprised by the speed of his answer.

Of course, the question raised by Guan Lin and Mi Yang's derivation process are slightly different from the later generations' mathematical questioning methods and solutions.

translate it.

关麟问的便是——某数用3除余2, 用5除余3，用7除余2，求其数？

Mi Yang's answer is - multiplied by 3 for the remainder when divided by 70, multiplied by 5 for the remainder when divided by 21, and multiplied by 7 for the remainder when divided by 15. Add the three products and subtract the multiple of 105 to get Come up with the answer 23!

（Ps：即2×70=140，3×21=63，2×15=30，140+63+30=233，233-2×105＝23）

This…

Guan Lin was slightly stunned. In fact, all of a sudden...he didn't understand Mi Yang's idea of ​​solving the problem.

but…

If it were him, he would definitely list the "binary linear equation"...

——"This kid... has something to do with his problem-solving ideas! 』

Guan Lin thought to himself, and then asked again.

"I'm going to ask you again. Today there are chickens and rabbits in the same cage. There are twelve heads on the top and 34 feet on the bottom. How many are the chickens and rabbits?"

Guan Lin pondered.

This chicken and rabbit in the same cage is a combination of mathematics and practical application.

In fact, mathematics can indeed be related to various things in many fields.

Including the formation of troops, including Hundred Soldiers Kit Kat, including common pharmacology.

Even more broadly speaking, the "P=NP" argument, which is known as one of the world's seven major mathematical problems in later generations.

Once completed, it will have a profound impact on cryptography, life sciences, condensed matter... and even cure cancer.

Of course, this is hereafter...

However, even in the era of the late Han Dynasty and the Three Kingdoms, the achievements and contributions that a genius in the field of mathematics can make are still limitless.

Here and there…

Guan Lin could not help thinking that the talents withered in the late Shu Han period...

In the final analysis, it's not that the younger generation has a bad background!
There is no perfect system for digging and cultivating talents.

Zhuge Liang came out of Qishan six times, and he played too much... The successors he can train are too limited.

This is also the source of the tragedy of "There is no general in Shu, and Liao Hua is the vanguard".

This kind of thing can be seen from Mi Yang.

However, having said that, in this era, battlefields and tactics are played. Besides Guan Lin, who would pile up resources on a "big mathematician"?
Thinking of this...

Guan Lin's eyes were dim, and he stared at Mi Yang again.

He is looking forward to...

Mi Yang can solve this "chicken and rabbit in the same cage" problem.

However, it turns out that...

Guan Lin's expectations were a little high.

Indeed, according to the concept of linear equations in two variables in "Nine Chapters of Arithmetic", this problem can naturally be solved.

But when Mi Yang answered the answer, it took a total of sixty breaths of time.

"Reporting to the Fourth Young Master..." Mi Yang said frankly, "There are... seven chickens and five rabbits in total!"

Although Mi Yang said it was easy, in fact, this required a complicated process of solving binary one-time problems in "Nine Chapters of Arithmetic".

It's easy to get lost in thoughts.

really…

Guan Lin shook his head and spread his hands, "How slow!"

This…

Mi Yang was taken aback. In the past, in his study of mathematics, there were only right and wrong, and there was no... fast or slow!

But Guan Lin said "baji"...

Candidly said: "Is it necessary to count this question? Just open your mouth and push it out."

"Assuming that all twelve are chickens, then there are 24 legs, but in fact there are 34. The few ten are rabbits that are regarded as chickens! Therefore, five chickens have to be removed from the hypothetical twelve chickens. For rabbits, 12-5=7, that is, there are seven chickens in total, and five rabbits!"

This…

so fast?

Mi Yang was taken aback, he didn't expect...this question could be solved in this way.

I never thought about it, but I haven't waited for him to recover.

Guan Lin came up with another solution, "Twelve heads and 34 feet. It can also be assumed that chickens and rabbits have half of their legs removed. Half of 34 is seventeen. At this time, the chicken's head and legs The same amount. We use all the seventeen legs and subtract all the first twelve, which is equivalent to removing one leg from all the chickens and rabbits. Now the chicken has no legs. What about the rabbit? There is only one leg left, counting Count how many legs are left, that is how many rabbits! 17-12=5, so there are five rabbits and seven chickens!"

This…

Mi Yang's eyes have widened, but what's even bigger is his open mouth...

This big mouth is enough to stuff an apple into it.

Mi Yang was dumbfounded, stunned, math...is it still possible to solve it like this?It's like... a whole new way of thinking!It's a whole new world!

Looking at his expression, Guan Lin felt that enough was enough...

Almost flickering.

He deliberately said: "There are only two solutions, one is the hypothetical method, and the other is the golden rooster's independent method. In fact, there are a total of thirteen solutions to the problem of chickens and rabbits in the same cage... There is still something to do today. I won't go into details."

What Guan Lin said...

It can be regarded as completely mobilizing Mi Yang's interest.

Guan Lin has already left...

But Mi Yang's mind was filled with Guan Lin's words.

He muttered in his mouth... "Chicken and rabbit in the same cage... hypothetical method... golden rooster independent method, thirteen... thirteen solutions?"

That's how people are...

Once a window is suddenly opened in a field of interest to a person, he will definitely rush to this window with all his heart and soul.

And undoubtedly... For Mi Yang, the current Guan Lin is the window that Mi Yang opened!

That window on "new" mathematics!

Although, he felt...Since the fourth son is so busy now, he shouldn't ask the fourth master this question, but...he...he just couldn't help it.

"step", "step..."

Gritting his teeth, Mi Yang walked towards Guan Lin with strides.

At this time, Guan Lin had already walked to Ma Bing's side, listening to Ma Bing's description of the arrangements for the storage of money and grain into the granary...

This is a big deal.

It's about the following series of things.

And Mi Yang had already walked behind Guan Lin. He mustered up his courage and wanted to ask... What are the other eleven solutions?

But at this moment...

"Fourth Young Master..." A yamen servant reported, "Outside the door, Lu Youjiao from the beggar gang begged to see Fourth Young Master..."

——"Well... Lu Youjiao's time has come! 』

Guan Lin's eyeballs must be, he pondered...

Most likely Shi Huolong and You Tanzhi got news.

Immediately he told Ma Bing, "Ma is engaged, and I will hand over the money and food here to you. When it is finished, don't let the brothers work for nothing. The old rule is [-] catties of millet per person!"

"Okay, I'll make a note of it." As the second-in-command under Guan Lin...

Ma Bing quickly agreed.

On the contrary, the civil servants and government servants who were doing the work beside them, when they heard that another [-] catties of millet would be rewarded, all of them smiled, and their "sluggish" appearance suddenly gave off new life.

They found that working with the Fourth Young Master...although it was tiring and often stayed up late...but the Fourth Young Master never made people work in vain.

Every time it is "thirty catties" of millet.

Such a boss!
Conscience!
In the Han Dynasty, thirty catties of millet was almost the weight of a dendrobium, and the annual salary of such a civil servant was only a hundred dendrobium!

——"Fourth Young Master...you're magnificent! 』

Countless civil servants and yamen servants shouted in their hearts.

But Mi Yang was the only one who watched Guan Lin walk away quickly, feeling a little lonely and dejected.

This…

The issue of chickens and rabbits in the same cage, but...hasn't made it clear yet!
The other eleven kinds of solutions, in the end...what are they?
...

...

At one table, Guan Yu and Mi Fang sat opposite each other.

"Yun Chang, I've asked all the questions I need to ask." Mi Fang said truthfully: "The merchants of Jiaozhou said that the ordnance this time totaled two hundred vans, one thousand crossbows, and crossbow bolts. Thousands of sticks, less wooden cows and horses, only a hundred heads!"

Today's Mi Fang spoke very kindly when facing Guan Yu.

After all, Guan Yu had promised him.

When fighting Soochow in the future, let him Mi Fang be the vanguard, and after taking down Stone City, give him Mi Fang everything in Soochow Sun Quan's mansion to make up for his shortfall this time.

never felt...

But after going through this incident, Mi Fang suddenly felt—this Yun Chang!Kindness!
No wonder, everyone said Yun Changyi was weaker than Yuntian.

Guan Yu was also very polite to Mi Fang.

After all, the Mi family's money... is now in the hands of his son Guan Yu.

Although he was willing to gamble and admit defeat, it was fine, but inexplicably, Guan Yu just felt a little guilty, always feeling sorry for Zifang.

Therefore, when Guan Yu faced Mi Fang again, he would never show that domineering arrogance that rejects others thousands of miles away, and he would never scold or refute him loudly...even the contempt for him, the "uncle of the country", was like snow flakes Completely melted.

Some clues can be seen from the slightly casual kneeling posture of the two of them!
——Yun Chang and Zi Fang are kissing!
At this moment, after hearing Mi Fang's words, Guan Yu took the initiative to pour a bottle of wine for him, "It's cool in the night, and Zi Fang came here specially to drink a glass of wine to warm up."

Mi Fang took it without saying thank you, she was so familiar, she drank it all in one gulp.

"Zi Fang can ask for the price." Guan Yu said softly, his tone unhurried.

Now that he knows all the truth, he is much more relaxed.

But, Mi Fang couldn't be told about this, Guan Yu had to accompany him on the show.

Even, the guarantee is not complete... In the end, he has to be the "big injustice"!

"I don't think this merchant is from Jiaozhou, but...he still talked about his reputation, saying that he will wait for the price from me after the Fourth Young Master quotes tomorrow."

Oh…

Guan Yu didn't know how to answer it, so he could only say "Oh" casually.

But because there was nowhere to put his hands, he stroked his beard.

"Yun Chang, this is..."

Mi Fang felt that there was something wrong with Guan Yu tonight, he seemed a little indifferent...

It's that uncharacteristically... indifferent indifference.

"Is Yun Chang worried that this merchant is cheating? If so, Yun Chang can rest assured! This merchant is quite honest and understands the rules. He said what he should say and didn't say a word about what he shouldn't say. These are definitely not Pretending to be like doing the 'arms' business!"

Guan Yu remained silent...

The atmosphere became more and more strange.

"Yun Chang, why are you..." Mi Fang asked again...

This time, before he could open his mouth, Guan Yu came over like a god, and he directly asked Mi Fang, "How much does Zifang think Yunqi will quote for these ordnance?"

this…

Mi Fang's eyeballs rolled, he thought carefully, and then tried to open his mouth: "Thirty thousand grains?"

This blurted out, Mi Fang felt wrong...

"It won't be like this. At noon today... the heroic appearance of the fourth son, I am afraid that the report will not be too low, but... but the fourth son has at most [-] hu of grain... I can't report more. ,only…"

When it came to the end, Mi Fang's eyeballs must have been, "It's hard to guarantee... We have eyes in the north and east in Jiangling City. Since this merchant is so flamboyant, isn't his master's purpose just to drive up the price? Even... he just wants to attract all parties. The competition between the snipe and the clam, the fisherman wins!"

Mi Fang's implication was obvious.

There must be other forces involved.

Guan Yu nodded, "In order to govern Jingzhou, the eldest brother and Kong Ming started a plan. Since then, neither Jingnan nor Nanjun has ever blocked the border, nor has it blocked the entry of external merchant ships..."

"But because of this, Guan doesn't know how much Jiangling City has eyeliner and secret work... this time, with such a magical weapon in the world, how can it not cause competition among various forces?"

Having said that, he sighed faintly.

This ordnance...

Inadvertently, it hit his sore spot!

——In Jiangling City, the eyeliner and spies of various external forces...

And why was he not Guan Yu's confidant?

...

...

(End of this chapter)