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Chapter 106 Eyeliners are everywhere, a chicken and a rabbit share the same cage, how to solve this problem?(1/3)

Mi Fang's son - Mi Yang.

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

In fact, Guan Lin realized that the rise of Shu Han was an inescapable topic.

That is...there is no match for the green and yellow.

There are only one wave of people who can fight, and there are three or two kittens, and then there are... it's gone!

There is no general in Shu, and Liao Hua is going to be a pioneer.

It is precisely because of this that Guan Lin will pay special attention to some talented young people in Jingzhou area.

Guan Xing, Guan Yinping, and Guan Suo are among the series.

Ma Bing, it can be considered half!

As for... this Miyang!

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

Mi Yang seemed to notice Guan Lin's interest in his "small characters" and immediately explained.

"When my father gave birth to me, the upright Uncle Liu was overthrown, and when the army was defeated, he was in danger..."

"My father named me and wanted to give me an auspicious name. There is a saying in my hometown, Xuzhou Donghai, that is, put the child born in a basket and then put a basket on it, so that disasters will be eliminated

Refusal, auspicious life. My aunt suggested that I name it and go into a basket to ward off evil spirits. The same as Geng, the same as Geng, will be a hundred years old, and the small word will be "Luo Geng"!"

Hmm...

Hearing this, Guan Lin breathed slightly.

He thought that there was a great mathematician in later generations. His hometown was from Jiangsu. When it was converted to the Three Kingdoms period, it was also Xuzhou!

He is still a fellow villager with the Mi family!

It can be seen... From ancient times to the present, the mathematical and academic spirit of Xuzhou 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 "Zhoufeng Arithmetic" or "Nine Chapters of Arithmetic".

Mi Yang said truthfully: "The content of nine chapters in "Nine Chapters of Arithmetic" and 246 mathematical problems, I dare not be verified by the knowledge, but I claim to be... I will not be examined by the mathematical problems mentioned in it.

arrive!"

——『What a big tone!』

Guan Lin looked at Mi Yang with great interest, and he continued, "Then I will test you. The number of 33 numbers is left, the number of 55 numbers is left, and the number of 77 numbers is left, and the number of 77 numbers is left, what is the matter?"

this…

Mi Yang was slightly stunned. He thought a little in his heart, and then he replied while deriving:

"There are two left in three and three numbers, one hundred and forty, three left in five and five numbers, sixty and two left in seven and seven numbers, and three left in three. Together, two hundred and one

You can get it if you reduce it ten times.”

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

Hey...the answer is correct!

Mi Yang's answer did not shock Guan Lin, but the speed of the answer surprised Guan Lin slightly.

Of course, the question raised by Guan Lin is slightly different from the mathematical methods and solutions of Mi Yang in later generations.

Translate it.

Guan Lin asked - use 3 to divide the remainder by 2, use 5 to divide the remainder by 3, use 7 to divide the remainder by 2, find the number?

Mi Yang's answer is - multiply the remainder divided by 3 by 70, multiply the remainder divided by 5 by 21, multiply the remainder divided by 7 by 15, add the three products and subtract the multiple of 105, and get

The answer is twenty-three!

(ps: i.e. 2x70=140, 3x21=63, 2x15=30, 1406330=233, 233-2x105=23)

this…

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

but…

If it were him, he would definitely list the "binary equation of first time"...

——『This kid... has something to do with the problem-solving idea!」

Guan Lin said in his heart and then continued to ask.

"I, the official Cao, asks you again, there are chickens and rabbits in the same cage, with twelve heads on top and thirty-four feet on bottom. How many chickens and rabbits are there?"

Guan Lin was thinking.

This chicken and rabbit in the same cage combines mathematics with practical applications.

In fact, mathematics can indeed be associated with various things in many fields.

It includes placing troops, including the ingenuity of soldiers, and pharmacological common sense.

To put it bluntly, the argument of "p=np", which was hailed as one of the seven major mathematical problems in the world in later generations.

Once completed, it will have a profound impact on cryptography, life sciences, condensed matter..., and even the cure of cancer can be easily solved.

Of course, this is later generations...

However, even in the late Han Dynasty, the achievements and contributions that a genius in the field of mathematics could make were still limitless.

From this and that…

Guan Lin inevitably thought that the talents in the later period of Shu Han had withered...

After all, it’s not that the younger generation has a bad foundation!

There is no complete system for exploring talents and cultivating talents.

Zhuge Liang went out to Qishan six times and played too much... the successors he could train were too limited.

This is also the source of the tragedy that "there is no general in Shu, and Liao Hua is the pioneer."

This kind of thing can be seen from Miyang.

However, then again, this era is playing the battlefield and power struggle. Apart from Guan Lin, who would have accumulated resources for a "big mathematician"?

Thinking of this...

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

He was looking forward to it...

Miyang Energy has made this problem of "chicken and rabbit in the same cage".

But, it turns out...

Guan Lin’s expectations are a little too big.

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

But when Miyang answered the answer, he took a total of sixty breaths.

"Report to the fourth young master..." Mi Yang said, "There are a total of... seven chickens and five rabbits!"

Although Mi Yang seems easy to say, in fact, this requires a complicated binary problem-solving process in "Nine Chapters of Arithmetic".

It is easy to get confused and get stuck in it.

really…

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

this…

Mi Yang was stunned. In the past, he only had right or wrong in his learning of mathematics, but he did not say...fast and slow!

But I heard Guan Lin smacking his mouth...

Kankan said, "Is this question necessary to calculate? Just open your mouth and then you will be able to pull it out."

"If all the twelve heads are chickens, then there will be twenty-four legs, but in fact they are thirty-four. These ten are rabbits that are regarded as chickens! Therefore, we must go from the hypothetical twelve chickens.

If you dig out the five rabbits, 12-5=7, that is, there are seven chickens in total, and five rabbits!"

this…

So fast?

Mi Yang was stunned. He didn't expect that... this question could be solved like this.

I never thought that he hadn't come back to his senses.

Guan Lin also said another solution, "Twelve heads and thirty-four legs, you can also assume that the chicken and rabbit have half of their legs removed, and half of the thirty-four is seventeen, and at this time the chicken's

The heads and legs are the same. We use all the legs and subtract all the heads and twelve, which is equivalent to removing all the chickens and rabbits one leg. Now the chickens have no legs. What about the rabbits? Only one is left.
To be continued...
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