"No way? Is there really a newcomer who gets into trouble with such a despicable question?"

"Young man, your courage is really commendable, but mathematics is not about brute force, it depends on your brain! For example, when I look at a question like this, my brain tells me, stop struggling! You can't solve it!"

"You are a prospective graduate student in a certain mathematics school or graduate school this year, right? Your tutor recommended you to come here? Let me tell you, this type of number theory problem that requires integer solutions is not as simple as it seems. Listen to my uncle's advice and learn real mathematics.

The first step is actually to learn to let go. Accepting the fact that you are mediocre is an inevitable process on your path to mathematics, and remembering this is more important than anything else."

Seeing these jokes, Qiao Yu became even more unconvinced.

Although he didn't quite understand how credible it was that the mathematical expert said that the future mathematical life would guarantee that this problem would have an integer solution, but since everyone thought that this problem had an integer solution, he really followed this problem

He's getting better at it. This is already the fifth day he's tried to solve this equation.

Although Qiao Yu does not spend all his time solving problems every day. He still maintains the original rhythm of watching videos in the morning, and spends the afternoon brushing up on the exercises involved in the videos. But in the evening, Qiao Yu is really

I have been struggling with this equation problem.

It was precisely because of this question that he was unable to maintain the good work and rest habits he had just developed. He accidentally thought about it until two or three in the morning. This was probably the same as the cram school that Xia Keke signed up for on July 8th.

Related to the official opening of classes.

The schedule of the cram school is similar to that of junior high school. Classes start at 7:30 in the morning, so after the 8th, it is naturally impossible for Xia Keke to wake up Qiao Yu at 8:00 every morning for breakfast. It is indeed very difficult to live such a life during the summer vacation.

It's hard, but if your goal is Huaqing or Peking University, if you're not gifted, you have to persevere no matter how hard it is.

After all, in high school, there are many students who suffer more than the social beasts of 996. Not to mention that when you work in 996, you can still find time to fish and deceive the leaders. If you choose to fish in high school, you are purely deceiving yourself. It is nothing more than high school for only three years. You have expectations and you can see the end. Once you enter society, once you choose to start 996, you really don’t know how many years it will take before you get to the end.

It's actually the same for Qiao Yu.

Even if you go to bed at three in the morning, you must still get up at nine in the morning. After all, studying in the morning is very necessary.

In this way, Qiao Yu spent ten days, and finally used the desktop computer at home. He finally solved the equation at 8:30 pm on July 12th. Then he couldn't help but cursed. Voice: "Me!"

Huangtian paid off. He finally solved this stupid equation, and after taking it in for verification, the equation relationship could indeed be established. But the answer was an exaggeration.

Because the values ​​of the three variables a, b, and c all reach 80 digits! The final result is:

a=154476802108746166441951315019919837485664325669565431700026634898253202035277999 b=36875131794129999827197811565225474825 492979968971970996283137471637224634055579, c=4373612677928697257861252602371390152816537558161613618621437993378423467772036 Qiao Yu finally understood how mean this question was, and how dirty the math master who gave it was really!

If he hadn't had a computer and happened to know some programming, it would have been impossible to calculate it!

As we all know, this type of problem cannot be solved directly by using computer brute force calculations, even if two variables have been determined, because to verify the calculation of the third variable as an integer, the total number of combinations is 10 to 160 times Square. According to the peak computing power of a large Chinese supercomputer of 1.25 billion calculations, it can only calculate 10 to the power of 18 per second. So if you want to solve this problem, it will also take 10 to the power of 134 years.

So we must first find a way to solve this problem.

To solve this problem, Qiao Yu really reasoned about too many things. He used up a bunch of draft paper just for drawing elliptic curves.

The methods I tried included bringing in special values, Euclidean algorithm, modular arithmetic, approximation and approximation, mean inequality... and it took more than ten sleepless nights! Fortunately, no matter how tortuous the process was, He finally figured it out!

So Qiao Yu quickly logged on to the forum, and opened a new post with high spirits, bearing the title of a rookie. "That equation that you all said was difficult and impossible to solve was solved by this rookie!"

Then I quoted the original question, copied and pasted the answer directly, and simply @@the original poster who asked the question.

"Okay, I admit that I was superficial before. You are right. This question does have a solution. I have found the integer solution and verified it. Now I will publish the answer as follows... In addition, I want to reply to some people Some previous speeches.

The senior who said that mathematics does not rely on brute force but relies on brains, thank you for the advice. It turns out that I also have a brain. But I am thinking, if you just look at it, your brain will tell you not to bother, does it mean that your brain is full? Do you feel that your IQ is not high enough, so you actively trigger the alarm to make you quit in the face of difficulties?

But I'm really sorry. When I saw this question for the first time, my brain definitely told me that the solution process of this question is as simple as its stem. As long as you are willing to solve it, You can definitely figure it out!

Now it seems that my brain was right! Oh, by the way, I also want to thank the uncle who tried to tell me that the first lesson in learning mathematics is to learn to give up first! Maybe you are talking about your life experience and have accepted it I understand my own mediocrity, but obviously, your life experience does not apply to me!

Maybe what I say will make you seniors feel very angry, but please don't be angry now. I'm here in this forum. You old guys will have many opportunities to get angry in the future! I'm afraid that you will be so angry now that you will ask questions in the future. It’s no use. If you are not convinced, you can continue to talk to Mr. Mathematics, and I will continue!”

After posting, Qiao Yu felt refreshed, jumped onto the bed, and fell asleep instantly.

In reality, he can only be submissive for the dozens or hundreds of red papers because of the pressure of life. On the Internet, I'm sorry, I will punch hard if I'm unhappy.

Anyway, those random netizens on the forum didn’t know him, so they wouldn’t affect him in the slightest. When it’s time to look down on people, he had to look down on them. So, as expected, Qiao Yu’s new post went viral!
Chapter completed!