Bao Xiaomeng's life has become a three-point line in garages, Internet cafes, and milk tea shops every day. In the hot summer, she stands on the side of the road to hand out leaflets, and there is always a piece of paper stuffed in the pocket of her uniform apron.
It may be an English text or an ancient Chinese poem. Every time she posts something, she always has words in her mouth.
After seeing such a scene, Lin Zhaoxi never stopped her again.
Time keeps moving forward.
For Lin Zhaoxi, she finished the whole book of numerical methods engineering with python, and successfully ran the last comprehensive problem in the book; she finished the post-book exercises on probability theory twice; and on a piece of paper with her bare hands, Classify the machine learning theory and organize the formula algorithms to be used.
And the graduation assessment of the summer camp finally arrived.
—
The sun was scorching hot outside the window, the trees on the university campus were green and beautiful, and the light was like filaments pulled out of viscous sugar solution.
"The last exam, I hope everyone will take it seriously."
Lin Zhaoxi looked at the podium, where Zhang Shuping was standing.
In fact, it didn't take long, and the primary school summer camp is still vivid in my memory.
She could still recall the scorching breath when she rushed upstairs, she stood in Zhang Shuping's office, mustering all her courage to say those words to him.
But now, the final test of the training team is about to begin, and her mood seems to be completely different from that time.
She neither finds it difficult nor easy, and she doesn't think that she must be the first in the exam or that she must surpass others. The mountain she wants to climb is never called Zhang Shuping.
The test papers were handed out like snowflakes, the electric fan was whirring, and the test papers were flying violently.
Lin Zhaoxi took the test paper, took out the mechanical pencil and clicked twice,
If she had to find something every time she came, now she seemed to be a long way from finding that thing.
After all, before going back to primary school, she had clearly foreseen the moment she left. But not now, she still doesn't know when she will leave.
But it doesn't matter, just be patient and work harder.
—
The last exam consisted of only five questions, but the exam lasted all day.
After all, it is a difficult test paper for high school Olympiad, and various solutions emerge one after another, so it is difficult to simply measure it with standard answers. There will no longer be the situation in elementary school where the grades are issued after an hour after the class is finished.
The next day, Zhang Shuping and Xie Ran appeared in the classroom with dark circles under their eyes.
Lao Zhang threw the test paper on the table, shaking the whole classroom.
"Today is the last day of the summer training camp. After I finish this test paper, you can pack your things and go home in the afternoon."
After he finished speaking, he picked up the chalk and spread out the test paper: "The first question is the familiar trigonometric function. Some students made it, some didn't, but it doesn't matter. In your answer, I saw an unconventional solution. Let's ask classmate Ah Guang to talk about it."
Ah Guang sat in his seat, instead of rushing up to the stage excitedly, he looked at Zhang Shuping dully, and most of the other students in the classroom had the same reaction.
"What's wrong?"
"Teacher, why...why didn't you hand out the test papers?"
"Don't report the score?"
"Success... What about the grades?"
"Are grades important?" Zhang Shuping asked.
Everyone in the class gasped, and the mischievous Lao Wang directly asked, "Who are you, and you returned Lao Zhang to us?!"
Lin Zhaoxi lowered her head and smiled, writing the proof of the convergence of the em algorithm. In this kind of free time, she usually does similar derivations casually. If you write the same thing more times, you will get different results.
Zhang Shuping's voice sounded: "Lin Zhaoxi, is grade important?"
Feeling shocked, Lin Zhaoxi looked up, not understanding why Zhang Shuping called her suddenly.
"Still... okay?" she said.
"Answer my question seriously."
Zhang Shuping feels very oppressive when he is serious. Lin Zhaoxi couldn't help standing up.
The whole class was silent.
Lin Zhaoxi thought for a while: "I used to think it was very important, such as when I was in elementary school, because at that time, if you failed other people's exams, you would be driven away..."
"What now?"
"I really feel better now."
"Why is it okay?"
"Probably because I didn't get the first place in the exam?" She joked.
The students below all laughed at the right time, and the atmosphere became relaxed and harmonious again.
"But this time, you took the first place in the exam." Uncle Zhang said slowly, his voice was not loud, but it overwhelmed all the smiles.
Lin Zhaoxi was stunned for a moment.
Zhang Shuping looked at her: "Strict argumentation, impeccable answers. Five major questions, you are the only one in the class with perfect marks."
The middle-aged Ruzi was calm and serious, but the whole classroom fell into an unprecedented silence.
"Is there anything you want to say?" Zhang Shuping asked.
Lin Zhaoxi didn't know what to say.
Once at the door of the toilet, she said to A Guang - "Just try to surpass you next time."
But now that she really did it, after thinking about it, she seemed to have nothing to say.
It felt quite difficult, she only had this idea.
She shook her head and smiled quietly.
"Come up and get the test papers." Zhang Shuping said.
The classmates around her stepped aside, Lin Zhaoxi was still sweating profusely, and a little wind blew in from the window.
She stood for a while, wiped the sweat with the back of her hand, and walked over.
—
Just like before the end of the last training camp, that afternoon, she went to the library to borrow books.
She moved a stack of books out of the reading room and put them on the reading table. The teacher scanned the barcodes and campus cards one by one, and finally put the cards in the stack of books and pushed them back to her together.
"Thank you, teacher."
Lin Zhaoxi took out the card and put it in her pocket. The moment she was about to pick up the book, she suddenly saw a book called "Probability and Mathematical Statistics" among the pile of newly returned books behind the borrowing desk.
Her heart skipped a beat: "Teacher, can I read that book?" She pointed and said.
The teachers in the library were very cold, and without saying a word, they took out the book and threw it to her.
The shabby cover and the curled inside pages look very old.
She had checked on the library computer many times before, and the "Probability Theory" on Lao Lin's book list had always been on loan.
It's really a coincidence that she appeared before she was about to leave now.
She casually flipped through a few pages, and sure enough there was Lao Lin's handwriting on them.
"Teacher, I still need to borrow this book." She said with a smile.
—
Hongzhang New Village, Resident Library.
At 9 o'clock in the evening, when Bao Xiaomeng came home from get off work, Lin Zhaoxi was reading the book he had just borrowed.
Bao Xiaomeng held a small bag and pressed it directly in front of her.
Looking down, there is a cup of milk tea inside, half sugar and pearls.
"A token of love." Lin Zhaoxi pulled out the straw, punctured the seal, and took two big gulps.
"Don't drink it all, let's drink it together, and the other half is mine."
Bao Xiaomeng picked up another straw in pain.
With quick eyesight and quick hands, she pulled out the straw in her hand, replaced the last test paper and stuffed it in.
"Hurry up and do the papers. You won't drink until you score 80 on the math simulation paper."
"It's so difficult." Bao Xiaomeng immediately lowered her face.
"hurry up."
"All right."
The girl took off her uniform jacket and picked up a pencil.
The room became peaceful and quiet again.
She happened to see a very interesting place. The blank space in the book was filled with dense derivation process, as if some academic masters were discussing the probability formula of winning in gambling.
—How can you always make money without losing money when you gamble
At first, I didn't know who asked this question.
Lin Zhaoxi remembered what he asked Pei Zhi that day, her heart trembled, and she continued to read.
Next, someone derived a brand-new winning probability formula, and simplified the complex problem of doubling the odds, and analyzed it by flipping a coin.
After substituting it into the public notice, it is found that if you use 10 yuan to bet on the heads of coins, the probability of doubling the amount and the probability of bankruptcy are 50 to 50.
It's very easy to understand.
And once you do something with the coin to increase the odds of heads by 3 percent, the odds of winning money instantly increase from 50 percent to a staggering 77 percent.
Lin Zhaoxi fell silent.
On the other side of the page number, someone wrote a few lines. Because of the long time, it looks very dim.
- Probability of average player winning blackjack at p=0.495. If the cards are memorized, the odds of winning increase to p=0.51.
—Then, just increase the odds of winning a little bit
—Are you an idiot? This is gambling, yes, plug it into the formula, just add that little chance of winning, and the probability of doubling your bet will immediately become 99.75%. That is, you can win without losing money.
It still belonged to Lao Lin's handwriting, the naughty tone she was used to, and she was already very familiar with the knowledge of the whole book, but this passage made her feel something.
I don't know how long it has passed.
"I'm done!" Bao Xiaomeng shouted.
Lin Zhaoxi turned the page of the book, regaining consciousness from the world of probability.
She changed to a red pen, took the test paper, pressed it on the book, and began to correct it simply.
From filling in the blanks to selection, from calculation to proof.
Check tick, check tick, check tick, finger pointing on the last conclusion, completely correct, she ticked the last one.
She also froze for a while, before turning to the front, and wrote a red "100" after the initial score.
Bao Xiaomeng was extremely unbelievable, "Am I right?"
"Yes." Lin Zhaoxi opened the test paper and handed it back.
The moment the scroll was removed, she saw the old and new lines of dialogue on the withered pages.
—The same goes for working hard every day. If you increase a little probability, you will double your bet unconsciously and become a winner in life
—Consistent efforts, never slack life. Small daily accumulations will determine the final result, and this is the answer.
This is an extremely small moment, the lamp is dim, and the noise of the street is outside the house.
She seemed to have returned to the vegetable market where the sun was setting. She stood there and asked Pei Zhi: How can ordinary people achieve this probability in their lives of poverty
"I don't know, but it should be possible, but if you know the answer someday, please let me know."
Pei Zhiming clearly said so.
But the last sentence.
The ink is still very bright, and the handwriting is so familiar.
Lin Zhaoxi couldn't help trembling slightly, this line was not written by Lao Lin, it was clearly written by Pei Zhi.
She couldn't guess when Pei Zhi wrote this sentence, it might be during the first training camp, or before leaving for the last time.
But these lines clearly proved that Pei Zhi knew the answer a long time ago, but at that moment, he chose to lie to her.
Yeah, how could you not know
A bicycle runs over the road.
Many scenes are overwhelming.
The desk at home, the lights in the classroom, the cold floor tiles in the library, and the stuffy summer night in the rented house, she fell asleep in the phone booth and woke up with a swollen face.
From the running in the elementary school summer camp to the moment when she opened the Chinese book and recited in the junior high school class, there were so many sad days, the moments of non-stop cheering for herself, and the difficult situation that needed mutual support from Bao Xiaomeng to persevere.
I didn't think there was anything at the time, but looking back now, it was so painful that my throat choked.
Bow your head again, the same page is still on the table.
Consistent efforts, never slack life.
Answers like a joke.
So light, yet so heavy.
But from real genius.
"What's the matter with you, I got 100 points in the test, are you unhappy?"
Bao Xiaomeng's voice was very low.
Lin Zhaoxi looked at the girl in front of her, at the simple 100 points she had just scored on her math test paper.
I couldn't help crying.