little fool's child bride
Chapter 136
"So it's over." Xiao Xiao repeated.
Only then did the supervisors sitting below applaud and applaud Xiao Xiao at the same time.Some of the doctors on the platform also smiled at Xiao Xiao, and they were no longer as solemn as before.The sacrificial wine asked Jiancheng to pull Yu Taiqing up, coughed a few times and said:
"The first question is solved, so please ask Assistant Professor Xiao to solve the second question."
The second problem set by Yu Taiqing was the Shanglian, which only had five characters. It was first published in history by Chen Zisheng in the Ming Dynasty, "Zhongzhou Thatched Cottage Remains".But there is no Ming Dynasty in this world, so Xiao Xiao doesn't know where Yu Taiqing got this Shanglian, or he thought it up by himself.But to Xiao Xiao, this is not too important. The important thing is that Xiao Xiao has heard these five words since elementary school, and knows how to answer the second line——
Smoke Lock Pond Willow.
Chen Zisheng made three couplets in those years, which are contained in the four poems of "Liubo Qu", all of which use five elements to five elements.One is the pendant brocade threshold wave.The poem where it is located is: "Smoke locks willows in the pond, lights hang brocade threshold waves. The echo dances for the first time, and when the willows are broken, you hear the song." Home Dadikou." Generally speaking, if the antithesis in the poem is not used alone, it should not be regarded as a couplet.But he said in the preface of the two poems: "The guest has used the five characters of 'Yan Suo Pond Liu' with five elements to belong to the rest as a couplet, because of the two poems of "Liu Bo Qu", and correct it with those who do good things."It can be seen that "Deng Hang Brocade Threshold Wave" was specially made for "Yan Suo Pond Willow", which is relatively independent, so it can be read as a couplet.The second is that Feng sells extremely Saihong.The poem where it is located is: "The smoke locks the willows in the pond, and the beacon sells to Saihong. The east branch stops the spring water, and the south wing resents the autumn wind." The third is Zhongshen Taixie lamp.The poem where it is located is: "Smoke locks willows in the pond, bells and lanterns. The heart of the lamp is red and dense, and the eyes of the willows are green and clear."
"It's impossible for Assistant Professor Xiao to solve it this time, right?" A supervisor shook his head, "If he can figure it out, he can choose from the four schools and the imperial school, so how can he be a small teaching assistant in mathematics?"
"What do you know!" The superintendent of mathematics became angry when he heard it. "Our teaching assistants stay in mathematics because we want to create a new field of knowledge! Our teaching assistants can do everything!"
That's what I said, but the supervising students in the mathematics school were also heartbroken, for fear that Xiao Xiao would make a fool of herself if she couldn't explain it.They didn't care, but what if the Guozijian asked Xiao Xiao to settle accounts for this?There were only two teachers in their arithmetic...
"I'm hanging on to the lantern."
While the supervisors were muttering, Xiao Xiao said calmly.At this time, Yu Taiqing had just woken up from his passion for guitar, and he couldn't help being stunned in place when he heard Xiao Xiao's answer.
"The structure of Yansuo Pond Willow uses the five elements as radicals to describe a quiet pond surrounded by green trees and filled with smoke. I also use the scene as the opposite. Is there anything wrong?"
Only then did Yu Taiqing come to his senses, and just as he thought about it, a doctor of Guozixue stood up and said, "How can the five elements be in the same position? Besides, these five characters are all about objects, and the second line should also be relative to objects." .”
Jijiu nodded, and the rest of the doctors also said that if they didn't need to fight neatly, they would have faced each other long ago.Yu Taiqing also fell silent at this time, after all, he couldn't say that Xiao Xiao had caused so many people in the Imperial College to lose face, so he only gave Xiao Xiao a worried look.But will Xiao Xiao be afraid?He immediately put on a thoughtful look, and then when a doctor wanted to speak, he smiled and said:
"Mirror Concrete Fire Tree Embankment."
"The first couplet describes the scene of a smoky pond, and the second couplet is about the beauty of the pond's water reflection. Flat and flat, the five elements are misplaced; the fire tree is not only a tree name, but also a sunset or lighting effect. It can be painted. It is also possible that there is a small bridge by the pond, and the bridge has a culvert; the word mirror describes the water surface of the pond as calm as a mirror." Xiao Xiao looked at the doctors who were racking their brains to find something wrong, and the corners of his mouth slightly raised, "This What's wrong with Lianke?"
Xiao Xiao looked around at the speechless doctor and others, and then said leisurely: "Actually, this couplet is not neat, because the five elements generate and restrain each other. This couplet is just misplaced but not matched."
"I have another couplet here, Peach Burning Jinjiang Embankment. The rhythm, artistic conception, and mechanism are all in harmony. What do you think?"
Now even the supervisors who had been discussing in low voices stopped talking.The students sitting at the front of the Guozi Academy looked at this talented young man in shock, and felt shocked for a while, but Rong Zijin took the lead in applauding.The faces of the doctors of Guozixue are a little ugly, some are red, some are green, some are black, and some people's faces are changing from moment to moment like signal lights.
"Passed!" Yu Taiqing said loudly, with admiration on his face.Only then did Jian Cheng go to beat the gong——
"The second problem has been solved, now ask Assistant Professor Xiao to solve the third problem!"
Yu Taiqing's third question is the Tower of Hanoi problem.At this time, someone brought up a Tower of Hanoi and put it on the table. Yu Taiqing made a "please" gesture and said to Xiao Xiao: "This is a question I read in a book, so I took it out after I couldn't figure it out." Take it as the third one. I was negligent before, so please ask Mr. Xiao to explain this one as well so I can be educated!"
Xiao Xiao shook her head, "No need."
"What do you mean no need?" A doctor rushed forward like a maned dog smelling blood, "You must know that you are talking about solving three problems! If Assistant Professor Xiao can't solve this problem, then you will be considered a loser!"
"That's the truth!"
"No one can stand without faith, Assistant Professor Xiao, don't forget what you promised at the beginning..."
"Did I say I can't solve it?" Xiao Xiao interrupted their questioning indifferently, "I said that there is no need to demonstrate this, because I have a better way to calculate how long it will take."
In modern times, the issue of the Tower of Hanoi originated from an ancient legend in India: when Brahma created the world, he made three diamond pillars. On one pillar, 64 gold discs were stacked in order of size from bottom to top, and then ordered Brahman Rearrange the disks on the other pillar in order of size from the bottom.And he stipulated that the disk cannot be enlarged on the small disk, and only one disk can be moved at a time between the three pillars. The third question for Yu Taiqing is to ask how many times or how long it will take to complete.
But why did Xiao Xiao say that there is no need to show Yu Taiqing such a troublesome piece of work?
This is because the number of times can be calculated using the recursive method, and this number is so huge that it is impossible to demonstrate it to everyone in a short time.He opened his backpack and took out a stack of white papers:
"This is actually a math problem. First of all, these are the Roman numerals I am teaching now. They correspond to our one, two, three, four, etc., and multi-digit numbers are written like this. Addition, subtraction, multiplication, and division are written as +-*÷, = This symbol means equal at this time, which means that the results on both sides of the formula are the same. We now assume that there are n pieces, and n means an unknown integer, that is, any integer starting from 1. The number of moves is written as f(n). The calculation can be Get f(1)=1, f(2)=3, f(3)=7. Do you understand?"
Yu Taiqing frowned and calculated the correctness and error of these calculations with a half-comprehension, Xiao Xiao stopped to watch Jian Cheng transcribe what he wrote on other white papers and circulate it to the doctors in various schools.
"Understood." Yu Taiqing breathed a sigh of relief.
"Then it is not difficult for us to find that f(k+1)=2*f(k)+1, k is an integer we introduced that refers to an integer smaller than n. You can try any integer and see this Whether the formula holds."
Yu Taiqing thought of a relatively small number and brought it into the calculation, and found that it was true.So he put in a larger number, but it still holds true.At this time, the doctor and others and the supervising students also got the equation, and they all started to check the equation with interest——
"It's true." Everyone whispered.
But Yu Taiqing asked: "We only have a hundred people, how can we calculate all the numbers once? I still don't know whether this equation is correct or not."
肖潇看着“较真”的余太清倒是觉得欣慰,于是他点点头:“的确,如果不能证明这个等式成立的话,那么剩下的解题全都是在放屁。首先我们用数学归纳法可证得1+2+3+…+2n=n(2n+1)……”
Xiao Xiao started talking about arithmetic, but none of the doctors dared to interrupt him this time, because they all had a vague premonition that this young man might really be a young all-rounder who knew both astronomy and geography.Jijiu was also shocked by Xiao Xiao's talent and learning, and thought a lot about the prince and the court.He had known for a long time that this Xiao Xiao belonged to the prince's faction, and he also knew that he was the one who spread the method of preventing and controlling the captive epidemic in Ancheng, but he never expected that this person would have such high attainments in mathematics and literature .No wonder the emperor sent him to the Imperial College!Jijiu imagined that if Xiao Xiao was placed in the court, he immediately began to rejoice that he had always remained neutral and firmly defended the emperor.
“所以不难证明f(n)=2^n-1。2^n的意思是有n个2相乘。那么回到我们最初的问题,如果n=64呢?”
Xiao Xiao's explanation had come to an end, and everyone held their breaths and concentrated on it. Although they could no longer understand, they were attracted by the person who was so energetic and eloquent.
"If n=64, then we get a number, 18446744073709551615."
"At least 5845 billion times," Xiao Xiao flipped the ring on the Tower of Hanoi, "If I flip it three times in one breath, then it would be [-] times in a quarter of an hour, and [-] times in an hour." , that's [-] times a day. So I said there's no need to demonstrate, because we can't even live to the moment of completion."
Only then did the supervisors sitting below applaud and applaud Xiao Xiao at the same time.Some of the doctors on the platform also smiled at Xiao Xiao, and they were no longer as solemn as before.The sacrificial wine asked Jiancheng to pull Yu Taiqing up, coughed a few times and said:
"The first question is solved, so please ask Assistant Professor Xiao to solve the second question."
The second problem set by Yu Taiqing was the Shanglian, which only had five characters. It was first published in history by Chen Zisheng in the Ming Dynasty, "Zhongzhou Thatched Cottage Remains".But there is no Ming Dynasty in this world, so Xiao Xiao doesn't know where Yu Taiqing got this Shanglian, or he thought it up by himself.But to Xiao Xiao, this is not too important. The important thing is that Xiao Xiao has heard these five words since elementary school, and knows how to answer the second line——
Smoke Lock Pond Willow.
Chen Zisheng made three couplets in those years, which are contained in the four poems of "Liubo Qu", all of which use five elements to five elements.One is the pendant brocade threshold wave.The poem where it is located is: "Smoke locks willows in the pond, lights hang brocade threshold waves. The echo dances for the first time, and when the willows are broken, you hear the song." Home Dadikou." Generally speaking, if the antithesis in the poem is not used alone, it should not be regarded as a couplet.But he said in the preface of the two poems: "The guest has used the five characters of 'Yan Suo Pond Liu' with five elements to belong to the rest as a couplet, because of the two poems of "Liu Bo Qu", and correct it with those who do good things."It can be seen that "Deng Hang Brocade Threshold Wave" was specially made for "Yan Suo Pond Willow", which is relatively independent, so it can be read as a couplet.The second is that Feng sells extremely Saihong.The poem where it is located is: "The smoke locks the willows in the pond, and the beacon sells to Saihong. The east branch stops the spring water, and the south wing resents the autumn wind." The third is Zhongshen Taixie lamp.The poem where it is located is: "Smoke locks willows in the pond, bells and lanterns. The heart of the lamp is red and dense, and the eyes of the willows are green and clear."
"It's impossible for Assistant Professor Xiao to solve it this time, right?" A supervisor shook his head, "If he can figure it out, he can choose from the four schools and the imperial school, so how can he be a small teaching assistant in mathematics?"
"What do you know!" The superintendent of mathematics became angry when he heard it. "Our teaching assistants stay in mathematics because we want to create a new field of knowledge! Our teaching assistants can do everything!"
That's what I said, but the supervising students in the mathematics school were also heartbroken, for fear that Xiao Xiao would make a fool of herself if she couldn't explain it.They didn't care, but what if the Guozijian asked Xiao Xiao to settle accounts for this?There were only two teachers in their arithmetic...
"I'm hanging on to the lantern."
While the supervisors were muttering, Xiao Xiao said calmly.At this time, Yu Taiqing had just woken up from his passion for guitar, and he couldn't help being stunned in place when he heard Xiao Xiao's answer.
"The structure of Yansuo Pond Willow uses the five elements as radicals to describe a quiet pond surrounded by green trees and filled with smoke. I also use the scene as the opposite. Is there anything wrong?"
Only then did Yu Taiqing come to his senses, and just as he thought about it, a doctor of Guozixue stood up and said, "How can the five elements be in the same position? Besides, these five characters are all about objects, and the second line should also be relative to objects." .”
Jijiu nodded, and the rest of the doctors also said that if they didn't need to fight neatly, they would have faced each other long ago.Yu Taiqing also fell silent at this time, after all, he couldn't say that Xiao Xiao had caused so many people in the Imperial College to lose face, so he only gave Xiao Xiao a worried look.But will Xiao Xiao be afraid?He immediately put on a thoughtful look, and then when a doctor wanted to speak, he smiled and said:
"Mirror Concrete Fire Tree Embankment."
"The first couplet describes the scene of a smoky pond, and the second couplet is about the beauty of the pond's water reflection. Flat and flat, the five elements are misplaced; the fire tree is not only a tree name, but also a sunset or lighting effect. It can be painted. It is also possible that there is a small bridge by the pond, and the bridge has a culvert; the word mirror describes the water surface of the pond as calm as a mirror." Xiao Xiao looked at the doctors who were racking their brains to find something wrong, and the corners of his mouth slightly raised, "This What's wrong with Lianke?"
Xiao Xiao looked around at the speechless doctor and others, and then said leisurely: "Actually, this couplet is not neat, because the five elements generate and restrain each other. This couplet is just misplaced but not matched."
"I have another couplet here, Peach Burning Jinjiang Embankment. The rhythm, artistic conception, and mechanism are all in harmony. What do you think?"
Now even the supervisors who had been discussing in low voices stopped talking.The students sitting at the front of the Guozi Academy looked at this talented young man in shock, and felt shocked for a while, but Rong Zijin took the lead in applauding.The faces of the doctors of Guozixue are a little ugly, some are red, some are green, some are black, and some people's faces are changing from moment to moment like signal lights.
"Passed!" Yu Taiqing said loudly, with admiration on his face.Only then did Jian Cheng go to beat the gong——
"The second problem has been solved, now ask Assistant Professor Xiao to solve the third problem!"
Yu Taiqing's third question is the Tower of Hanoi problem.At this time, someone brought up a Tower of Hanoi and put it on the table. Yu Taiqing made a "please" gesture and said to Xiao Xiao: "This is a question I read in a book, so I took it out after I couldn't figure it out." Take it as the third one. I was negligent before, so please ask Mr. Xiao to explain this one as well so I can be educated!"
Xiao Xiao shook her head, "No need."
"What do you mean no need?" A doctor rushed forward like a maned dog smelling blood, "You must know that you are talking about solving three problems! If Assistant Professor Xiao can't solve this problem, then you will be considered a loser!"
"That's the truth!"
"No one can stand without faith, Assistant Professor Xiao, don't forget what you promised at the beginning..."
"Did I say I can't solve it?" Xiao Xiao interrupted their questioning indifferently, "I said that there is no need to demonstrate this, because I have a better way to calculate how long it will take."
In modern times, the issue of the Tower of Hanoi originated from an ancient legend in India: when Brahma created the world, he made three diamond pillars. On one pillar, 64 gold discs were stacked in order of size from bottom to top, and then ordered Brahman Rearrange the disks on the other pillar in order of size from the bottom.And he stipulated that the disk cannot be enlarged on the small disk, and only one disk can be moved at a time between the three pillars. The third question for Yu Taiqing is to ask how many times or how long it will take to complete.
But why did Xiao Xiao say that there is no need to show Yu Taiqing such a troublesome piece of work?
This is because the number of times can be calculated using the recursive method, and this number is so huge that it is impossible to demonstrate it to everyone in a short time.He opened his backpack and took out a stack of white papers:
"This is actually a math problem. First of all, these are the Roman numerals I am teaching now. They correspond to our one, two, three, four, etc., and multi-digit numbers are written like this. Addition, subtraction, multiplication, and division are written as +-*÷, = This symbol means equal at this time, which means that the results on both sides of the formula are the same. We now assume that there are n pieces, and n means an unknown integer, that is, any integer starting from 1. The number of moves is written as f(n). The calculation can be Get f(1)=1, f(2)=3, f(3)=7. Do you understand?"
Yu Taiqing frowned and calculated the correctness and error of these calculations with a half-comprehension, Xiao Xiao stopped to watch Jian Cheng transcribe what he wrote on other white papers and circulate it to the doctors in various schools.
"Understood." Yu Taiqing breathed a sigh of relief.
"Then it is not difficult for us to find that f(k+1)=2*f(k)+1, k is an integer we introduced that refers to an integer smaller than n. You can try any integer and see this Whether the formula holds."
Yu Taiqing thought of a relatively small number and brought it into the calculation, and found that it was true.So he put in a larger number, but it still holds true.At this time, the doctor and others and the supervising students also got the equation, and they all started to check the equation with interest——
"It's true." Everyone whispered.
But Yu Taiqing asked: "We only have a hundred people, how can we calculate all the numbers once? I still don't know whether this equation is correct or not."
肖潇看着“较真”的余太清倒是觉得欣慰,于是他点点头:“的确,如果不能证明这个等式成立的话,那么剩下的解题全都是在放屁。首先我们用数学归纳法可证得1+2+3+…+2n=n(2n+1)……”
Xiao Xiao started talking about arithmetic, but none of the doctors dared to interrupt him this time, because they all had a vague premonition that this young man might really be a young all-rounder who knew both astronomy and geography.Jijiu was also shocked by Xiao Xiao's talent and learning, and thought a lot about the prince and the court.He had known for a long time that this Xiao Xiao belonged to the prince's faction, and he also knew that he was the one who spread the method of preventing and controlling the captive epidemic in Ancheng, but he never expected that this person would have such high attainments in mathematics and literature .No wonder the emperor sent him to the Imperial College!Jijiu imagined that if Xiao Xiao was placed in the court, he immediately began to rejoice that he had always remained neutral and firmly defended the emperor.
“所以不难证明f(n)=2^n-1。2^n的意思是有n个2相乘。那么回到我们最初的问题,如果n=64呢?”
Xiao Xiao's explanation had come to an end, and everyone held their breaths and concentrated on it. Although they could no longer understand, they were attracted by the person who was so energetic and eloquent.
"If n=64, then we get a number, 18446744073709551615."
"At least 5845 billion times," Xiao Xiao flipped the ring on the Tower of Hanoi, "If I flip it three times in one breath, then it would be [-] times in a quarter of an hour, and [-] times in an hour." , that's [-] times a day. So I said there's no need to demonstrate, because we can't even live to the moment of completion."
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