Chapter 106 Eyeliner is all over the place, 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 his name, but also because of his amazing mathematical talent in calculating the exchange of grain, gold and silver, all of which made Guan Lin look sideways.
In fact, Guan Lin is aware of an unavoidable topic facing the rise of Shu Han.
That's... Green and yellow.
There is only such a wave of people who can fight, and then there are three or two kittens, and then down... It's gone!
There is no general in Shu, and Liao Hua has to be a pioneer.
It is precisely 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 Miyang!
After asking him the small character "Luo Geng" again, Guan Lin became more interested in him.
Mi Yang also seemed to notice Guan Lin's interest in his "small characters", and immediately explained.
"In the past, when my father gave birth to me, Uncle Liu Huang was overturned, and when the army was defeated, he was in danger..."
"My father named me and wanted to take an auspicious name, which happened to have a saying in my hometown of Xuzhou Donghai, that is, to put the child born in a basket, and then buckle a basket on it, so that it will eliminate disasters and take refuge, and be auspicious for life. My aunt proposed, give me a name, enter the 'basket' to ward off evil spirits, and 'Geng' is 100 years old, and the small character will be 'Luo Geng'! β
Not...
Hearing this, Guan Lin exhaled slightly.
He pondered that there was a great mathematician in later generations, his hometown was from Jiangsu, and when converted to the Three Kingdoms period, it was also Xuzhou!
He is still the same villager as this Mi family!
Visible... From ancient times to the present, Xuzhou's mathematics academic atmosphere has become a trend!
"Have you read Nine Chapters of 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 "Zhou Ji Sutra" or "Nine Chapters of Arithmetic".
Mi Yang said truthfully: "The content of the nine chapters in "Nine Chapters of Arithmetic", two hundred and forty-six mathematical problems, I dare not claim to be proficient in it, but I boast... You won't be able to get tested by the math problems mentioned therein! β
- "What a big breath!"
Guan Lin looked at Mi Yang with interest, and he continued: "Then I'll test you, the remaining two of the three or three numbers, the remaining three of the five or five numbers, and the remaining two of the seven or seven numbers, ask the geometry of things?" β
This...
Mi Yang was slightly stunned, he thought a little in his heart, and then replied while deducing:
"Two of the three and three are one hundred and forty, and five and five are three and sixty-three, and two of the seven and seven are thirty. and two hundred and thirty-three, and two hundred and ten minus it. β
Speaking of this, Mi Yang raised his head: "The answer is... Twenty-three! β
Hey... That's right!
Mi Yang's answer did not surprise Guan Lin, but the speed of the answer surprised Guan Lin slightly.
Of course, there are some slight differences between the question raised by Guan Lin and the derivation process of Miyang and the mathematical problems and solutions of later generations.
Translated.
What Guan Lin asked is - divide a certain number by 3 by the remainder 2, divide the remainder by 5 by the remainder 3, divide the remainder by 7 by the remainder 2, find its number?
Mi Yang's answer is - the remainder of 3 division is multiplied by 70, the remainder of 5 division is multiplied by 21, and the remainder of 7 division is multiplied by 15, add the three products, subtract the multiple of 105, and get the answer of twenty-three!
(Ps: i.e. 2Γ70=140,3Γ21=63,2Γ15=30,140+63+30=233,233-2Γ105=23)
This...
Guan Lin was slightly stunned, in fact, all of a sudden... He didn't understand Mi Yang's solution to the problem.
But...
If it were him, he would definitely list the "binary equations"...
- "This kid... There's something to solve the problem!"
Guan Lin said secretly in his heart, and then asked.
"Ben Cao Peng asks you again, there are chickens and rabbits in the same cage today, with twelve heads on it and thirty-four feet on it, ask the chickens and rabbits how much they are?"
Guan Lin pondered.
This chicken and rabbit in the same cage is a combination of mathematics and practical application.
In fact, mathematics can be related to a wide variety of things in many fields.
Including the arrangement of troops, including the hundred soldiers KitKat, including pharmacological common things.
Even to put it more broadly, the argument of "P=NP", which was later known as one of the world's seven major mathematical problems.
Once completed, there will be a significant impact on cryptography, life sciences, condensed matter... The impact is so far-reaching that even a cure for cancer can be solved.
Of course, this is the afterlife...
However, even in the era of the Three Kingdoms at the end of the Han Dynasty, the achievements and contributions that a genius in the field of mathematics can make are still limitless.
From this and there...
Guan Lin inevitably thought that the talents in the late Shu Han period withered...
In the final analysis, it's not that the younger generation has a bad foundation!
There is no perfect system for excavating and cultivating talents.
Zhuge Liang is out of Qishan Mountain, and he plays too much... The number of successors that can be cultivated is too limited.
This is also the source of the tragedy of "there is no general in Shu, and Liao Hua is the pioneer".
This kind of thing can be seen from Miyang.
However, having said that, this era is playing battlefield and conspiracy, except for Guan Lin, who will pile up resources for a "great mathematician"?
Thinking of this...
Guan Lin's gaze was gloomy, and he stared at Miyang again.
He had some expectations...
Miyang can make this problem of "chickens and rabbits in the same cage".
It's just that it turns out...
Guan Lin's expectations are a little too big.
Indeed, according to the concept of binary equations in the Nine Chapters of Arithmetic, this problem can naturally be solved.
But when Mi Yang answered the answer, it took a full sixty breaths.
"Returning to the fourth son..."Mi Yang said angrily: "It's altogether... Seven chickens, five rabbits! β
Don't look at Mi Yang, it is easy to say, but in fact, this needs to go through a complicated process of solving the problem in "Nine Chapters of Arithmetic".
It's easy to get caught up in the middle of it.
Really...
Guan Lin shook his head and spread his hands, "It's so slow!" β
This...
Mi Yang was stunned, in his previous study of mathematics, there was only right and wrong, and there was not... Say fast and slow!
But I heard Guan Lin "chirp" in his mouth...
Kan said: "Is this question necessary?" Just open your mouth and push it out. β
"Suppose all twelve are chickens, then there are twenty-four legs, but in fact there are thirty-four, and the few ten are rabbits that are treated as chickens! So five rabbits are removed from the hypothetical twelve chickens, 12-5=7, i.e. seven chickens in total and five rabbits! β
This...
Is it so fast?
Mi Yang was stunned, he didn't expect it... This problem can still be solved in this way.
Who would have thought, before he came back to his senses.
Guan Lin said another solution, "Twelve, thirty-four legs, you can also assume that the chickens and rabbits have removed half of their legs, and half of the thirty-four is seventeen, and at this time the chicken's head and legs are the same." Let's use all the legs seventeen, minus all the first twelve, which is equivalent to removing one leg from all the chickens and rabbits, so now the chickens have no legs, what about the rabbits? There is only one leg left, and counting how many legs are left, and there are a few rabbits! 17-12=5, so there are five rabbits and seven chickens! β
This...
Mi Yang's eyes have widened, but what is even bigger is his open mouth...
This big mouth is enough to fit an apple.
Mi Yang is dumbfounded, dumbfounded, math and... Can you still solve this problem? It's like... It's a whole new way of thinking! It's a whole new world!
Looking at his expression, Guan Lin felt that enough was enough...
It's almost lame.
He deliberately said: "These are just two solutions, one is the hypothetical method, the other is the golden rooster independent method, in fact, similar to this kind of chickens and rabbits in the same cage, there are a total of thirteen solutions... I won't go into detail about it today. β
Guan Lin said this...
It can be regarded as completely mobilizing Miyang's interest.
Guan Lin has walked away...
But everything Mi Yang had in his head became Guan Lin's words.
He muttered, "Chickens and rabbits are in the same cage... Hypothetical method... Golden Rooster Independence Law, Thirteen Kinds... Thirteen solutions? β
People are like that...
Once a person is suddenly opened a window in his field of interest, then he will definitely devote all his body and mind to rushing to this window.
And undoubtedly... For Miyang, today's Guan Lin, he is the window opened by Miyang!
That window to "new" math!
Although, he felt... Now the fourth prince is so busy, he shouldn't ask the fourth prince for advice, but... He... He just couldn't help it.
"Step", "Step..."
Mi Yang gritted his teeth, and he walked towards Guan Lin with steps.
At this time, Guan Lin had already walked to Ma Bing's side and listened to Ma Bing's talk about the arrangements for the storage and granary of these money and grains...
This is a big deal.
It's about the next series of things.
And Mi Yang has walked behind Guan Lin, he mustered up the courage and wanted to ask... Chickens and rabbits in the same cage... So what are the other eleven solutions?
But at this moment...
"The fourth son...", a servant reported: "Outside the door, the beggar gang Lu Youjiao begged to see the fourth prince..."
- "Hmm... Lu Youjiao is here at this time!'
Guan Lin's eyes must be beads, he pondered...
Most of the time there is news from Shi Huolong and You Tanzhi.
Immediately, he instructed Ma Bing, "Ma engaged, the next money and grain here will be handed over to you, and when it's done, don't let the brothers work in vain, the old rule, thirty catties of millet per person!" β
"Okay, I'll make a note of it." As a thief, Cao Peng belongs to the "main chronicle engagement", the second-in-command under Guan Lin...
Ma Bing hurriedly agreed.
However, the clerks and officials who were doing the work next to them, when they heard that they were rewarded with 30 catties of millet, they smiled one by one, and the original "wilted" general appearance suddenly rejuvenated.
They found out that following the fourth son... Although tired, although often staying up late... But the fourth son never let people work in vain.
Every time it's "thirty catties" of millet.
Such a head!
Conscience!
In the Han Dynasty, thirty catties of millet was almost the weight of one hundred, and the annual salary of this kind of scribe was only one hundred and ten hundred!
- "The Fourth Son... Atmospheric!'
Countless scribes and officials shouted in their hearts.
But Mi Yang was the only one, looking at Guan Lin walking away quickly, he was a little lonely and a little sad.
This...
This problem of chickens and rabbits in the same cage can also... I haven't made it clear yet!
The other eleven solutions, in the end... What is it?
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On one side of the table, Guan Yu and Mi Fang sat opposite each other.
"Yun Chang, I've asked everything I need to ask." Mi Fang said truthfully: "This 'Jiaozhou' businessman said that this time the ordnance has a total of 200 partial vans, 1,000 crossbows, and 10,000 crossbow arrows, and there are only 100 wooden oxen and horses!" β
Today's Mi Fang is very kind when facing Guan Yu.
After all, Guan Yu had promised him.
In the future, when he fights Eastern Wu, let Mi Fang be the pioneer, and after laying the Stone City, he will reward Mi Fang with everything in Sun Quan's mansion in Eastern Wu to make up for his deficit this time.
I didn't think before...
But after experiencing this incident, Mi Fang suddenly felt that Yun Chang was this person! Be kind!
No wonder, everyone says that the clouds are long and the clouds are thin.
And Guan Yu was also very polite to Mi Fang.
In the final analysis, the Mi family's money... Now it's in the hands of his Guan Yu son.
Although he is willing to gamble and lose, it is nothing, but inexplicably, Guan Yu just feels a little guilty, and always feels sorry for others.
Therefore, Guan Yu will no longer show that domineering spirit that rejects people thousands of miles away when facing Mi Fang, let alone scold him and refute him loudly... Even the original contempt for him, the "national uncle", has completely melted away like snow.
From the slightly casual kneeling posture of the two, you can see some clues!
- Yun Chang and Zifang, kiss!
At this moment, after listening to Mi Fang's words, Guan Yu took the initiative to pour a bottle of wine for him, "The night is cold, and Zifang came specially to drink a glass of wine to warm up his body." β
Mi Fang took it, and she didn't thank her, she was so cooked, and drank it directly.
"The child can ask for the price." Guan Yu said softly, his tone unhurried.
Now that he knows the truth, he is much more calm.
But on the contrary, I can't tell Mi Fang about this, Guan Yu has to accompany the performance.
Even, not even... In the end, he had to be the one who was "wronged"!
"I don't think I'm from Jiaozhou, but... However, he also talked about some credibility, saying that he would wait for the fourth prince to quote tomorrow, and then he would listen to the price we waited. β
Oh...
Guan Yu didn't know how to pick it up, so he could only say "oh" casually.
But because there was nowhere to put his hands, he brushed his beard.
"Yun Chang, this is..."
Mi Fang felt that something was wrong with Guan Yu tonight, as if she was a little indifferent...
It's the kind of unusual... Indifferent indifference.
"Is Yun Chang worried that this businessman is cheating? If that's the case, Yun Chang can rest assured! This businessman is quite honest and understands the rules, he doesn't say a word about what should be said and what shouldn't be said, these are by no means pretended, like doing 'arms' business! β
Guan Yu is still silent...
The atmosphere grew even more eerie.
"Yun Chang, how are you..."Mi Fang asked again...
This time, without waiting for him to speak, Guan Yu came like a god, and he directly asked Mi Fang, "Zifang thinks that how much will these ordnance and cloud banners cost?" β
This one...
Mi Fang's eyes rolled, he thought about it carefully, and then tried to open his mouth: "Thirty thousand grains?" β
blurted out these words, Mi Fang felt that something was wrong...
"It's not going to burn like this, look at noon today... The heroic appearance of the fourth son, I'm afraid that he won't report it too low, but... But the fourth son has at most 50,000 pieces of grain... I can't tell you more, it's just..."
In the end, Mi Fang's eyes must be, "It's hard to protect... We have eyes from the north and east in Gangneung City, and since this merchant is so flamboyant, isn't his master's purpose to raise the price? And even... He is just to attract all sides to compete, the snipe and the clam compete, and the fisherman profits! β
Mi Fang's implication is obvious.
There will be other forces involved.
Guan Yu bowed, "Governing Jingzhou, the eldest brother and Kong Ming have made a start, since them, neither Jingnan nor Nanjun have ever blocked the border pass, nor have they ever blocked the entry of foreign merchant ships..."
"But because of this, Gangneung City's eyeliner, fine work... How many there are, Guan doesn't know! This time, such an artifact appeared in the world, how could it not cause competition among many forces? β
At this point, he sighed faintly.
This ordnance...
Inadvertently, I poked him in the sore spot!
ββIn this Gangneung City, the eyeliner and meticulous work of various external forces...
How could he not be his confidant Guan Yu?
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(End of chapter)