"Do you like to read old books?" Teacher Liu asked jokingly. Pen, fun, and www.biquge.info

"It's okay. Just slightly scratched the surface. Guo Bei smiled awkwardly, in his own words, what "classical masterpieces" such as "The Biography of the Crazy Woman", "The History of the Embroidered Couch", "Lamp Grass Monk" and "******" have indeed been read.

"Yes, yes, I can have such outstanding talent and know modesty, and I will go to a key university in the future, but I don't want to change my original intention! I won't revise the paper this year, otherwise I will definitely give a full score when I see your article......" Mr. Liu patted Guo Bei a few times with great interest, but he is a man of temperament.

"I would like to thank the teacher for lending me a pad......

"That's all trivial......"

An invigilator inexplicably pulled him to say a few words, Guo Bei was also a little flattered, and only watched him go, Guo Bei sighed in one breath: This is considered to be the end of the exam?

It seems that there is nothing in the college entrance examination......

On the contrary, I kept hearing the students around me talking: "Fuck, this year's essay is so perverted, I don't care what color he is butterfly!" Don't talk about butterflies, you put people under a microscope and look at them, and they don't have colors...... The teacher is ****! ”

"The essay of the year before was more perverted than the year before last, and the essay of last year was more perverted than the essay of the year before - that's it, the teacher still does not repent! This year is more perverted than last year's...... Depend on! ”

"Heck, I still don't know what this material means, I don't digress, and I don't know ...... at all."

One by one, they looked solemn, complained about the sky, cried for their fathers and called for their mothers.

Walking to the door of the test center, there were already a lot of students blocked in Wuyang, and outside the door were a large number of eager parents of students. The test papers have not been put together, and people cannot be released in the examination room. But many students are already shouting through the wall: "Mom, I've failed the test!" I want to repeat it! ”

"Woo, Dad, I didn't do well in the Chinese test, what should I do, this is the first one."

Guo Bei, who thought he had done well in the exam, thought easily:

It's stupid, although my grades are not good, I also know that after the exam, don't think about it, don't affect the mood of the next subject.

Waiting for the door to open was a little boring, and when I turned around and saw my best friend Ma Shancang, I lowered my head and walked this way, with words in my mouth, my hands were spread out and closed in front of my chest, I don't know what I was doing.

"Mountain artillery!" Guo Bei called him, the exam was good, and he was confident, so he shouted loudly. -- Actually, there are not many people who are more rustic than him with the name "Guo Beishang", and it is his honor to have the person "Ma Shanpao" around.

Ma Shanpao was already in a trance, completely unresponsive, and muttered in his mouth: "Yes, that's right, butterfly wings have no color, I think so, the magnifying glass magnification was not high enough to find it, but now the microscope is too powerful, and I found that butterflies have no color...... What does this mean? This shows that science and technology have progressed! No problem! No problem! I'm right to write in this direction, anyway, it says to pick any direction......"

Then he shook his head and shook his hand as if someone was talking to him: "No, no, no, it still feels a little off-topic...... It's a bit wrong to write like this, will the examiner not understand that I wrote in this direction? ”

After a while, he said: "Ah, no digression, no digression!" It is a fact that science and technology have advanced! You see, Apple is about to release the iPhone 6s! Technology has indeed advanced! ”

Before he knew it, he had already walked into the crowd, Guo Bei felt funny listening to it next to him, and it turned out that he was also worried about the composition! Then he patted him on the shoulder: "Mountain cannon!" Are you deaf, what's wrong? ”

Ma Shanpao was startled, saw clearly that it was Guo Bei, and stroked his chest: "Go north, where did you come from?" - Hey, you're just right, listen to it, my essay is not off topic! It's just that butterfly wings don't have color -- right? In the past, science and technology were not developed, did people not know this? ”

Guo Bei blinked: "Yes, that's right." ”

"And now- is it technological progress?"

"Yes!"

Ma Shanpao was a little comforted: "Yes, you think so too, right?" My essay is about scientific and technological progress! Stick to the direction of this theme! I'm writing about Steve Jobs' release of the iPhone generation in January 2007, right? It's 2007, right? ”

"Hmm."

"Then, Google released Android - although Android was born before Apple, but it was released after Apple, and the first Android phone was that, the hTc G1 ......"

"Hmm." Guo Bei didn't quite understand what he wanted to say.

"And since then, the 3G mobile network has also begun to develop...... Then, we entered the era of today's mobile Internet......"

Guo Bei listened to him talk about everything, but he couldn't find fault with every sentence, so he could only say one word, "um".

Ma Shanpao became more and more confident the more he spoke, and he danced with his hands: "That's right! That's right! And then now, Samsung has also sent S6, and it will be Note5 soon, and Apple has also sent 6S, and technology has progressed! - Not really! Gaishi 1 to Gaishi 6, Apple 1 to 6s! I wonder there's a plus! Technology has indeed advanced! No digression! ”

Guo Beixin said: What kind of mess are you! What about butterflies in the material? So he reminded: "What about butterflies? And what about butterflies? Where are the butterflies? ”

"Butterflies?" Ma Shancang looked at him in a daze, and then shouted, "That's right! Butterflies! HTC has also sent a 'butterfly' mobile phone! butterfly！ butterflys！ butterfly2！ butterfly3！ ――However, by the time the butterfly was released, the ham sausage (HTC) had already gone downhill, and sales were not good, and sooner or later it would be finished, which did not represent the ...... of 'technological progress'."

Guo Bei looked at him incredulously: Damn, this guy is hopeless! This big round head is full of!

Luckily, I'm a little better than him......

Ma Shanpao himself worried: "I didn't digress, that's for sure, I'm afraid that the grading teacher is too rigid, and they all use copycat machines, my writing is innovative, reasonable, I'm afraid, these teachers don't want to make progress and give points blindly......"

Guo Beixin said: Even if the grading teacher uses a BB machine, it is impossible for you to pass your essay!

Ma Shanpao calmed his little heart a little, and said casually: "What about you, how did you write your composition?" ”

Haha, I've been waiting for you to ask me for a long time!

"Me? Hey! Guo Bei's smug energy came up, and he was very proud: "The composition I wrote is-"

As he spoke, he couldn't go on.

A question suddenly popped up in my head:

Uh, what is the essay I wrote?

Exactly......

Did I just write an essay?

Guo Bei suddenly forgot all about the process of the exam just now, as if he came out after sitting in the exam room for two and a half hours!

A large memory is lost!

All he remembered was that he seemed to have found something under the paper when he entered the examination room, and then he ate it - he couldn't remember what it was!

Hey! It's weird!

Guo Bei scratched his head: What did I do during the exam?

Blindfolded!

Am I going to sleep in the exam room until the end of the exam?

So why was I so happy just now? The invigilator also said that I was a good guy?

Ma Shanpao looked at Guo Bei and was stunned, and said, "Go north, what do you want?" What did you say you wrote in your essay? ”

Guo Bei scratched his head: "I'm thinking about it, but I can't think of it......"

Ma Shanpao looked at Guo Bei's face and suddenly laughed: "Haha! Can't remember! You kid must have digressed and didn't dare tell me! ”

"No, no, I really can't think of it, you give me some time......" Guo Bei shook his hand.

At this time, the doors of the test center opened, and the students squeezed out - all wanting to leave the test room as soon as possible.

Ma Shanpao pushed Guo Bei: "Go north, let's go, let's go, what are you doing, and then think on the way - I always say, you should be as steady as me!" Usually let you take good classes, you don't listen! Went to the college entrance examination room, stupid, right? Like me, if you are well prepared and write well for the exam, don't you feel nervous? Alas, forget it, let's not talk about you, I haven't seen you pay so much attention to exams......"

Guo Bei walked forward in a daze, still unable to remember: Did I write an essay or not?

Belch......

"Mountain cannon! Mountain artillery! I'll leave it here! Ma Shanpao's father stood outside and shouted: "This little calf is young and his eyes are black, but what can he do." ”

Ma Shanpao didn't care about his father's "worry", and said excitedly: "Dad, you wait, this exam, I'm down-to-earth!" ――The composition is too difficult, and everyone else is in a circle, so I can write well, and I am called whoa. ”

"Haha, you kid is quite 'covered'!" Ma Shanpao's father laughed, not convinced.

"Go north, I have to go!" Ma Shan said, I saw that Guo Bei had become a thoughtful person at this time, and asked vigorously: "Composition, have I written it?" ”

Seeing him say hello, he looked up: "Oh, uncle is here." ”

"Isn't it, the college entrance examination? Dabei is okay in the exam, right? Father said kindly.

"Okay...... Uncle Ma, let's go first! Guo Bei said, and suddenly remembered something: "Mountain artillery, where are you~ grandpa?" ”

Ma Shanpao wondered: "My grandfather? ”

"Yes, I sent you here in the morning, where are you~ grandpa?" Guo Beidao.

"You're wrong! - When did you see ...... My grandfather? Ma Shanpao asked.

"It's me who delivered the mountain cannon in the morning! I sent him into the exam room all the way! ――My dad has been planting corn in his hometown in Northeast China! Ma Shanpao's father said with a grin.

"How-" Guo Beigang wanted to say, "Why not?" ”

In the morning, an old man stood next to Ma Shancano, took a bottle of water, and said, "Good grandson, drink it!" The mountain cannon said, "Grandpa, I don't drink!" "Drink!" "I'm not thirsty!" Guo Bei happened to be thirsty and said, "Okay, I'm thirsty, big ~ let me take a sip!" "I grabbed it and drank it. The taste is okay, but it's not as good as the Golden Jar and Duobao.

When did you meet Daddy Mountain Gun? Uncle Ma has never shown up from beginning to end!

What the hell?!

Seeing that Guo Bei was confused, Ma Shancang said: "Dad, let's go, Guo Bei is stupid for the exam!" ”

Ma Shanpao's father looked sympathetic and sighed. The father and son left together, leaving Guo Bei alone and constantly asking himself in the same place: "Didn't I see Grandpa Shanpao in the morning?" That's his dad? Didn't see his father? Also, did I write an essay at all? How much did you write in the test paper? Did you turn in the papers? - I'll go! Can't think of anything! Depend on! I've been dreaming all day today! ”

……

In a daze, Guo Bei came to his uncle's house.

The uncle's house is very close to the second middle school examination center where Guo Bei is located, and he has lived in the uncle's house for the past few days of the college entrance examination.

Uncle and his family, all from the countryside to the city in the late nineties, used to be a vegetable farmer, now a big truck driver, a rough man, the eldest only gave birth to a son, before having his own son, the most pampered is his eldest nephew Guo Bei - even after giving birth to a younger brother Guo Nan, Guo Bei is not bad at all.

As soon as he pushed open the door of the uncle's house, the uncle was already sitting at the dining table waiting for him. When the uncle saw him, his face was old chrysanthemum~ The flowers were wrinkled with laughter, and he shouted in his voice: "Dabei, how did you do in the Chinese test?" ”

"......" Guo Bei: How do I know what's going on! I can't even remember how I got out of the exam room!

As soon as he finished asking, the uncle patted his head: "Oh, by the way, college entrance examination candidates, you can't ask how you did in the exam!" Will be nervous! Then the uncle won't ask! Belch...... How is the composition written? Is there any digression? ――I just watched a TV news saying that this year's essay is a fucking thing! ”

Guo Bei: "......" I don't remember anything myself! I don't know how!

Seeing that the eldest nephew was speechless again, the uncle understood: "Oh, by the way, this shouldn't be asked!" Don't be nervous in the afternoon! I don't ask, I don't ask! ”

Guo Bei: But you shouldn't have asked, you've already asked!

Uncle didn't mind at all, he was originally a person who didn't talk much more than his brain: "Come on, come on, your aunt knows that you finished the exam in the morning, and you have been busy for a long time, so you have already prepared all the dishes!" Eat when you come back! Knowing that you are going to take the college entrance examination, I specially asked your aunt to get more good dishes! - Let's eat the food and drink a few more fucking glasses of wine......"

Guo Bei looked at the table: a plate of Zhou Heiya's duck neck, duck gizzard, and duck wings, a plate of braised beef from Huang Shanghuang, a whole whole chicken with red oil and spicy flavors, and two packs of Weilong's spicy strips...... (I'll go, what the hell is this one in the end!) ）

These aren't all cut and cold finished dishes! - My aunt is busy for a long time...... Just "busy" these things out?

I know that the most important thing to pay attention to in the college entrance examination diet is: try not to eat braised vegetables and cold dishes!

Just as she was thinking about it, my aunt came out of the kitchen with a plate of ...... Pickled pepper phoenix feet! is also the same as the uncle, babbling is more than enough: "Dabei is back?" Sit! Sit down and eat! Try the pickled pepper phoenix feet made by the aunt! This is really made by the aunt! ”

Hehe, this is the only one you made......

Everything else is ready to buy in the supermarket downstairs......

However, Guo Bei felt very warm in his heart, the uncle and aunt never regarded themselves as outsiders, all meat dishes, and no vegetarian dishes have always been the characteristics of their family.

Although Guo Bei usually comes to the uncle's house, it is best for them to take this bite, but today is really different, I am afraid that I will be pulled on my pants in the examination room......

Guo Bei cried with a sad face: "Uncle, there is no ...... Isn't there a vegetarian dish? ”

The uncle was surprised, and then pointed to the ...... in the pickled pepper phoenix paws Pickled pepper: "Isn't this a vegetarian dish?" ”

Guo Bei: "......"

"Dabei, eat well and sleep well, and take the test well in the afternoon! Admit to the exam! The aunt also smiled and shouted at the house: "Xiao Nan! Guo goes south! Your big brother is back! Get out and eat! ”

Guo Nanxia is eleven years old, and the two brothers are nine years apart, but they love to stick to their eldest brother the most, Deng Dengden ran out: "Brother is back?" "A happy face.

"Come, come, Dabei, drink! Chilled best! The uncle said heartily that he wanted to give Guo Bei a full offer.

Guo Bei hurriedly blocked: "Uncle! I can't drink it! I was drunk and couldn't go to the exam room in the afternoon! ”

Uncle said casually: "It's okay!" Uncle will drive you in the afternoon! - Well, that's drunk driving...... Ride a motorbike to send you ...... Not really...... I'll give you a tricycle......"

Guo Bei: "Uncle, I didn't mean this ......"

"Afraid of exams? So what's there! The uncle looked like a passer-by: "I was admitted to junior high school in elementary school that year, repeated, and secretly drank your grandfather's two taels of liquor, and I couldn't walk on the road, but the result was not for me to be admitted to junior high school steadily......

Guo Bei was even more speechless, only you, are embarrassed to talk about the fact that you were admitted to the junior high school for a year......

……

"Eat! Let's eat! - Xiao Nan, don't patronize spicy noodles, go with your brother! I wish your brother the university entrance examination and the university entrance examination! Previous 'Ben'! One and two books are good, and the tuition fee for three books is high, and your uncle will pay for you! What are our old Guo family afraid of! ”

Guo Nanxia also said in a milky voice: "Brother, for your exam today, these two packs of spicy noodles were specially bought by me from the entrance of the primary school and presented to you!" You must eat it! Attending Tsinghua University......"

The uncle didn't understand anything, and shouted blindly: "What Tsinghua is on!" Peking University, Peking University is better! ”

"I'm afraid that I won't be able to get on the 'Great Jade Bird'!" Guo Bei said in his heart, drinking a full glass of wine, bitter.

But......

It's really cool! Especially with the duck neck of Zhou Heiya! Forgive me for always being tempted by deliciousness~ ......

……

At half past two in the afternoon, Guo Bei sat in the tricycle that his uncle pedaled and flew up, walking around the crowd, always feeling that something was wrong, but he was a little dizzy after drinking, so he didn't care.

When the uncle was leaving, he said to Guo Nanxia: "Xiao Nan! Put on some music for your brother! With a strong walk! ”

Until now, Guo Bei's mind is Zhang Jie's hoarseness:

Comeon！ Fight back! Fight against the war! Ace to be wild! Break through the universe and level the world!

The moving melody is addictive...... Sure enough, it is the favorite type of music for elementary school students......

At our level, can we also "fight against the war"?

……

"You know what? I got the news from the inside, this year's math problems in our province are Ge Jun's! ”

"Huh? No way? That's miserable! It's hard to pass math! Bitter also! ”

As soon as I entered the test center, I could already hear students discussing the math test papers in the afternoon.

Ge Jun has made several test papers in the college entrance examination in Suzhou Province, often exceeding the content of university mathematics, and the candidates of the 03rd and 12th sessions are hated to the bone, and even caused several surrounding provinces to talk about the tiger's color change, and every year there are rumors that "our province specially introduced Ge Jun from Jiangsu Province this year".

It's been confirmed that it's fake for the past few years, but this year......

It can't really be Ge Jun's question.

Guo Bei thinks that whoever asks the question is the same, anyway......

He won't ......

I didn't see a single acquaintance in the afternoon, not in the mountains, not in the mountains, not in the fathers, not in the mountains-provided that the ones I saw in the morning were really the grandfathers of the mountains.

Sitting in the examination room, Guo Bei was still a little drunk, anyway, there were three bottles of beer before going to the examination room, and others should not be able to do it.

Guo Bei drank averagely, but the uncle was not drunk with a thousand cups, and in the end, Guo Bei accompanied him, but it was like the uncle took the college entrance examination and Guo Bei practiced it for him.

Mathematics Guo Bei has always been very poor, how bad is it? As bad as his other schoolwork (Khan).

Although he has never been bad in exams, others don't know about it, and he has a bottom in his heart. (More on the mystery later.) ）

The first thing Guo Bei did after handing out the scratch paper was to write the formulas of ellipses and hyperbolas silently, so as not to be unable to remember them during the exam. When he found that he couldn't write a formula, he was relieved to think: I really didn't get drunk! As usual, I can't remember a single one!

Math was originally meant to be made of soy sauce, and if it was too difficult, after the multiple-choice questions, he would not have any more questions to write.

It's just that Guo Bei has sinisterly thought that after the college entrance examination scores are announced, let the uncle carry this black pot - it's all because the uncle got me drunk, otherwise I would still have a few more points in mathematics.

Thinking of this, Guo Bei felt a little guilty, the uncle treated him so well, and he had to pay for him to go to college - just let alone Ben San, as long as he could go to a junior college, he would be content.

It's just that Guo Bei didn't know that the same "luck" as in the morning was waiting for him again......

……

The first thing he did when he handed out the test papers, Guo Bei flipped the papers forward and backward, and shook desperately - and then looked at the table, it was empty, there was nothing, it was also in the stomach of the table, and it was also on the ground, so he was relieved.

"You can still have the answer in the volume, what's the matter?" The man in the back seat thought disdainfully.

Guo Bei found that there was no abnormality, breathed a sigh of relief, and began to answer the question.

The first question, as usual, is a combination of imaginary numbers and quadrants, which is what the teacher usually calls "sending points", Guo Bei calculated for more than ten minutes, proudly calculated two different answers, and then chose one of the two answers and filled in one.

5 points in hand! (There is a 50% probability.) ）

It's quite fun.

The second question is a function question, the difficulty is the third year of junior high school, and in the first two weeks of the first year of high school, Guo Bei feels that this question can also be fought for.

But I didn't expect that the difficulty came, and I couldn't calculate it!

Ten minutes passed, and there was no clue.

So hard? That's the second question!

I vaguely felt that something was wrong.

Guo Bei's left hand pressed on the test paper, and his right hand moved to the scratch paper.

At this time, he chuckled in his heart......

Not again!

Hey, why do I say "again"?

I have just carefully checked it and there is no foreign body! But what is the bulge underneath the test paper?

Cards the size of a foreign painting......

Guo Bei looked at the podium with a weak heart - the two young female teachers didn't know what they were talking about, and the other old teacher looked very bad, and took off his glasses every once in a while to wipe his eye droppings.

Taking advantage of the old teacher's efforts to wipe his eyes, Guo Bei quickly drew out the card and stuffed it into his mouth.

But such a quick movement was still caught by the female teacher, and the two stopped talking. Guo Bei was a little weak-hearted, but he pretended to raise one finger easily, stuffed it in his mouth and sucked ~ sucking, and pretended to do a question with the other hand.

"The current students are weird!" The female teacher looked at this "big baby" with some incredulity.

……

"Big Baby" swallowed the card with difficulty, with the same hardness, compared to the Zhou Black Duck duck bones at noon, it was a little more delicious.

He glanced at the card as he took it to his mouth and ate it.

The avatar is printed on the card, Guo Bei knows it, but the small characters below are much shorter than Meng Fei in the morning. Because this old one doesn't need to be introduced.

Six words: mathematician, Hua Luogeng. (note 1)

……

Guo Bei sucked~ After sucking his fingers for a while, he sat up straight and put his eyes back on the math test paper.

He directly dropped his answer to the first question and replaced it with a B.

Tick A on the second question, and A on the third question.

BAACD。

As if he knew the answer in advance, he directly ticked out these options on the first five questions, which took no more than half a minute.

In fact, this is the answer. Absolutely.

After spending five minutes writing 75 minutes of multiple-choice, fill-in-the-blank questions, he yawned and his eyelids drooped.

Uninteresting, low-level, pediatric.

If others knew what he was thinking, they would be furious!

The multiple-choice questions are very difficult!

Rumors are being confirmed little by little!

Even if it's not Ge Jun, it's uncomfortable enough!

……

The short-answer questions are all relatively short, which means that the questions are either particularly difficult or easy (nonsense. ）

But in fact, for Guo Bei now, there is no such word as "difficult" and "simple" - what is "difficult"? Can it be eaten?

Twenty minutes later, Guo Bei wrote the last sentence of the last question: From this, it can be seen that the maximum value of z=b-a2/4 satisfying D less than or equal to 1 is 1 -- after that, he dusted off the answer sheet, put down the pen, and began to be in a daze with his cheeks.

In fact, judging from the 20 minutes of doing the question, it is not impossible for the two students to say that this year's questioner is Ge Jun. The last two questions have reached the extreme in the application of high school mathematics knowledge. It's hard to do and it's harder.

But......

What is this to Hua Lao?

Ge Jun? You call him, and I'll come up with two questions for him to do, and see if he's still angry.

The last math teacher I admired very much was Chen Jingrun. If Ge Jun is also good, I will also give him a hand.

Make unremitting efforts for the development of mathematics in the motherland.

Guo Beibai thought boredly.

(PS: Note 1: Hua Luogeng, a famous mathematician in China, suffered from leg disease when he was a child and did not continue his studies after junior high school, so the highest degree obtained in China is junior high school.)

To achieve future achievements is entirely dependent on self-study and hard work. ）

……

Just half an hour after the exam, almost all the students were sweating profusely because of the difficulty of the questions that far exceeded the difficulty of last year's test questions, but some students stopped writing and began to close their eyes and recuperate.

This cannot but attract the attention of the invigilator.

Guo Bei was about to fall asleep with his eyes closed.

"Classmate, why didn't you write it?"

Guo Bei opened his eyes blankly and rubbed his eyes at the female invigilator who cared about him. I drank too much and was a little sleepy.

"Keep writing."

I've finished writing, what else to write?

Guo Bei was a little puzzled, and said, "But teacher, I-"

"Even if you can't write, you can't leave it empty!" The female teacher shook her head.

The blank area of the math answer sheet is very large, and the back of the long answer sheet is divided into three large pieces, Guo Bei just wrote a few lines in the first few lines, and there is no more, which obviously does not meet the image that everyone needs to write a big ~ piece of math problems.

And looking at the appearance of other candidates, this year's paper is not simple, it is normal for a "poor student" like Guo Bei to be indifferent, but you can't give up at this time! You can also get a score or two for writing formulas.

The female invigilator thought so.

Guo Bei knew that she had misunderstood, although she wrote concisely, it was just the embodiment of her skill: "Teacher, I have finished everything I can write, I want to hand in the paper!" ”

Really, the perfect score is already in hand, and it is too boring to sit in the exam room for another hour and a half.

Seeing that this student was so casual and slack, the female invigilator was angry: "You are not allowed to hand in the paper in advance!" If you can't write, even if you draw pictures, you have to fill up the test paper! - Don't talk to me anymore and affect others! ”

Alas, the current students don't know what they're doing in school! Arriving at the exam room is like sleepwalking!

Care about him, don't appreciate it!

The female invigilator didn't care about him.

Guo Bei was helpless: But the test paper is extremely difficult for high school students. For "me", it is abnormal to not be able to solve it!

Uh, why didn't you think math was so simple before?

However, since the female invigilator said that she would "write the test paper" and now she couldn't go out of the examination room, Guo Bei had to find something to do, so she could only pick up the pen again, turn back to the first page he wrote, and write the words "Solution 2" in the font below the answer to question 16.

……

The blank space left by the paper is too big, isn't it?

It doesn't match your aesthetic habits, does it?

That's easy! I'll write a few more ways to write it.

A good mathematician should not be limited to "solving the answer to a problem", but should "find a variety of different solutions, summarize and explore the universal laws of the problem, and see the big because of the small, that and that-"

Guo Bei knocked on his head: I don't have anything to think about, what are you doing!

16 questions and write a few more lines, write a "solution two", after "solution two", write another "solution three", because the 16 questions only occupy half of the space of the answer sheet, write here can not continue to write, full, 16 questions can only stay on the three solutions.

The 17 questions that test students' permutations and probabilities are not very difficult, leaving more space than the 16 questions, allowing Guo Bei to write down six solutions in one go.

18 number series of problems, Guo Bei used three solutions - not that he won't, but this problem he used a solution in the ancient Chinese "Mengxi Bi Tan", that is, no algebra, simple and rigid calculation method, in order to solve the method is simple, and the same as in the ancient books, even the number does not use Arabic numerals, X is also expressed with "set Tianyuan one for so-and-so", the method is very ingenious, but the Chinese characters occupy a lot of space, the writing is very brief, and finally the top grid.

This solution makes others see it, and they can only sigh: you mathematicians in the city really know how to play......

……

19 questions with six solutions, 20 questions with four algorithms, 21 questions are the most difficult, and the second question is already difficult to solve without the knowledge of college mathematics, and other students can't even understand the questions, but naturally it is not difficult for Guo Bei.

The only difficulty is that the white space in the exam paper is not large enough.

Guo Bei's words can only be written smaller and smaller, each grain is like a little ant, and the grading teacher will definitely faint if he has a dense phobia.

In fact, when the two female invigilators "reviewed" Guo Bei's answer sheet again, they saw that those dense numbers, letters, and Chinese characters were all fried on the scalp.

In the folk tale, it is said that when Xu Wei (Xu Wenchang) went to take the Bagu exam, the article was well written, but the number of words was very short, and the main examiner disliked him and did not admit him. As a result, when Xu Wei met this examiner again in the next exam, he filled the blank paper in one breath - this was not enough, he simply wrote all the tables and benches, and finally reached 20,000 words, and handed in the tables, chairs and benches together when he handed in the papers.

The examiner must have been the same as the two of them at the time.

……

The last big question, after writing "Solution 3", there are only two lines of space left.

Unfinished, Guo Bei wrote: "For this problem, in addition to the above solution, I also have a very ingenious solution. But it's too small to write. (Author's note: Here is a visit to "Fermat's Great Theorem"!) ）

At this point, the test paper is completely written.

At this time, no teacher dared to say that he "why didn't he write", if he could, the female invigilator really wanted Guo Bei to hand in the paper in advance.

Geniuses' time is precious, and they can't afford to waste a single thing.

Although, this is the college entrance examination.

……

With half an hour left, Guo Bei fell into deep thought.

I don't know what to feel in my head, it's like a small memory of another person...... He doesn't seem to be Guo Bei anymore, as if he has really become an old scientist......

There is something obsessed in my heart that feels like it is not finished......

He thought desperately, desperately thought, and suddenly remembered!

In June 1985, he was invited to Japan for academic exchange.

That afternoon, he gave a lecture on "Theoretical Mathematics and Its Applications" to the Japanese mathematics community in the lecture hall of the Faculty of Mathematics and Physics at the University of Tokyo. Before the speech began, a Japanese student shouted, "Hana-senpai! Can you help me with this question? ”

The Japanese students have sincere eyes and are full of eagerness.

"Absolutely." The old mathematician smiled and agreed, looked at the problem, thought for a moment, and said, "But it will take me half an hour." After the speech, you stay for a while, and I'll do the math for you, can you say okay? ”

"Thank you very much for your willingness to teach!" The Japanese student was inexplicably excited and bowed deeply to him.

Academia knows no borders. He is also willing to be a good teacher to young people.

Unfortunately, due to a sudden acute myocardial infarction, the old scientist was taken to the hospital before the lecture was over, and finally died that night.

He was also unable to give the enthusiastic Japanese student an answer.

will not give up any opportunity to mentor juniors, which is why he has been remembered by people after many years.

……

Guo Bei's mind clearly appeared the difficult question that the Japanese student asked.

He grabbed the draft paper and prepared to spend the remaining half an hour to solve the problem. Time is just right.

This is the regret of an old gentleman.

……

It's just that neither Hua Luogeng nor Guo Bei knows that-

In the 20 years since Hua Lao's death, the student of the University of Tokyo has stayed on to become a professor at the University of Tokyo, but that problem has always haunted his heart.

It's not that he can't figure it out - people's horizons are broadened, and mathematics is communicated all over the world without conservatism. In the second year after Hua Lao's death, he used a manuscript paper nearly the thickness of a book to solve the problem!

After another three years, with the help of many mentors and friends, the solution was cut in half!

Another twenty years passed, and the solution was thirty-six pages of paper!

However, there is no doubt that this is not Mr. Hua's solution!

Because, Mr. Hua said! Just give him thirty minutes!

Thirty minutes is not enough to write 36 pages of numbers and letters!

People who study mathematics are stubborn, so how he hopes to know what kind of ingenious solution Mr. Hua can solve the problem in half an hour!

"I am willing to exchange my ten years of life for one hour from Mr. Hua, and let him help me solve this doubt!" He always said this to others with tears in his eyes, and even more so when he met every Chinese.

But they are also confused about this question and cannot do anything about it.

A long, long time later, in 2014, a student from China with the surname "Lu" came to the University of Tokyo for the third year of study.

He said to the Japanese professor: "Teacher, a new challenge is coming, I am going to England soon, I have to suspend my studies, I am sorry for your teaching!" I know there's a question you've been remembering for 30 years, and when I heard you tell this story, I wanted to make a breakthrough in it...... Even if it's just a little bit of progress...... But I'm running out of time......"

At the airport where he was sent off, the student surnamed Lu took out twenty pages of scratch paper and said sadly, "I'm sorry, Mr. Asamano, the students tried their best, but they could only streamline up to this point." ”

Twenty pages of manuscript paper, that is, it is still far from the "half an hour" that Mr. Hua said.

The Japanese teacher burst into tears: "Lu Sang, I have always said that no matter what you do, you will succeed." Thank you, the teacher is already very satisfied to get to this point, I am proud of you! - Don't forget the math! ”

This is an unfinished story between three generations of teachers and students in China and Japan.

……

It's just that Guo Bei doesn't know about it for the time being.

(PS: Lu Zhuhu is the male protagonist of my first competitive book, please don't mind new readers who don't know much about it.)

In fact, his story has always been in my head, and regular readers have encouraged me to keep writing about it. It's a pity that people's energy is limited, and they can only be put off for the time being-just like Lu Sang will take a leave of absence to play football. ）