My subject turned into a beautiful girl

The last big question, if you only look at the question, doesn't seem complicated at first glance.

But An Yi was certain that the so-called "simple" was an illusion, because even without carefully studying the question, one could see the score written at the top of the question—50 points!

Clearly, this question is used to select the final list. Those who can solve this question will basically have one of the three tickets to the National High School Mathematics League.

However, An Yi has now encountered a small problem.

With the added boost of "Mathematical Thinking Ability +1", he easily understood the question and developed a clear enough solution.

And that's where the problem lies... It's fine to find the minimum value, but when it comes to finding the maximum value, he "felt" that he needed to use the Cauchy inequality that he had mentioned to Wang Xinze earlier. But it's obvious that the Cauchy inequality used in this problem is not two-dimensional or three-dimensional, but n-dimensional!

"I don't think I've learned about the n-dimensional Cauchy inequality yet!"

An Yi's pen hovered uncertainly above the draft paper as he couldn't help but think.

"Is this question really not beyond the syllabus?"

An Yi had some guesses about the n-dimensional Cauchy inequality, because just looking at the two-dimensional and three-dimensional Cauchy inequalities, one could roughly feel that it was a rather beautiful formula, so beautiful that the regularity was exceptionally obvious.

However, firstly, he couldn't be sure if his guess was completely correct, and secondly... as everyone knows, formulas that haven't been learned cannot be used directly in answering questions because they are beyond the scope of the curriculum.

It's not impossible to use it directly if you insist on doing so, but you'll lose some points.

Of course, there is another perfect solution—if he wants to use the n-dimensional Cauchy inequality but doesn't want to lose points, he can only prove it on the spot!

Proving a formula on the spot during the exam and using... sounds like something out of a school legend.

Ke An Yi suddenly became excited. Who wouldn't want to become a legend? In countless moments of daydreaming, he would almost always fantasize about similar things. Now, he finally had such an opportunity to turn his fantasy into reality, stroke by stroke!

This was an irresistible temptation for An Yi, so he made up his mind almost without hesitation.

So now he only has one problem to face—how to prove the n-dimensional Cauchy inequality?

[Mathematical Thinking Ability +1] This seems to be the limit. It allows An Yi to "sense" the solution to the problem and the need to use an advanced formula. However, in proving this formula, it can only give An Yi a vague outline of the formula through a hazy fog.

No problem, if +1 in mathematical thinking ability isn't enough, then add more! The moment you make up your mind, whatever you're going to do, you should have the spirit to show your hand!

The system panel appeared before An Yi's eyes, and he chose to use it.

You have used [an MP3 carefully selected by mathematics]

[The background music will excite you! You can choose any [inherent ability bonus] to temporarily double your boost!]

Currently, the only selectable [Inherent Ability Bonus] is [Mathematical Thinking Ability +1], which has been automatically selected.

Your [Mathematical Thinking Ability] has been boosted by +2! Duration: 1 hour

For a moment, a soothing melody actually resonated in An Yi's heart. The music wasn't noisy; it was like a young girl humming softly when she was in a very good mood.

"In my own background music, I should be invincible!"

An Yi thought confidently as she looked at the draft paper.

[Mathematical Thinking Ability +2] In place, in that instant, the thick fog that had been obscuring his vision disappeared, as if a monkey's fiery eyes had been enhanced and upgraded, and all the demons, monsters, ghosts, and evil fogs retreated before this supreme power!

Many paths leading to "proving the n-dimensional Cauchy inequality" came into view with unparalleled clarity at this moment, and were firmly remembered by An Yi.

So the next step is to choose one of the paths and then walk that path.

This step was actually quite difficult for An Yi in the past.

To solve a problem completely from beginning to end, it can be summarized into a fixed pattern: choosing a strategy, formulating tactics, and equipping tools.

For example, when someone wants to climb a mountain, choosing which route to take is the strategy. Different strategies present different levels of difficulty. After choosing a strategy, the next step is to devise tactics based on the specific route. For instance, if the route includes rivers and snowfields, when and how should one cross them? Finally, there's the equipment and tools. Without a safety rope, it's difficult to cross a river, and without warm clothing, one cannot traverse snowfields.

Similarly, solving a math problem is the same. Strategy corresponds to the problem-solving approach, tactics correspond to the problem-solving methods, and tools correspond to the necessary basic knowledge... You can't expect to solve an advanced math problem if you've only learned elementary math.

The +2 to Mathematical Ability allowed An Yi to solve the Strategy problem. He already possessed the Tools, as he had mastered the basic knowledge required to prove the n-dimensional Cauchy inequality. So, all that remained was the Tactics.

But now, this only problem has been solved by the significant improvement in logical ability, because logical ability corresponds to tactics—the ability to deduce mathematically!

Mathematical thinking ability, logical reasoning ability, and essential basic knowledge are all required, along with strategic tactics and tools.

An Yi could even boldly utter that classic line.

"Now, I lack nothing!"

In the blink of an eye, he identified two methods for proving the n-dimensional Cauchy inequality... He chose one and began writing rapidly, quickly becoming completely absorbed in it.

……

On the podium, math teacher Qiu Chenggeng stared at An Yi's movements.

As for An Yi, Qiu Chenggeng only knew his name and that the student's grades had always hovered around the passing mark... That was all.

Logically speaking, under these circumstances, Qiu Chenggeng shouldn't have noticed An Yi. Looking down from the podium, so many people were engrossed in answering questions; An Yi was just one of them, nothing special.

However, An Yi's first action after receiving the test paper was somewhat illogical—he immediately flipped to look at the last big question.

This behavior is normal in both Chinese and English exams, but it's a bit unusual in math exams... As we all know, the last math problem is usually the most difficult and time-consuming. Who would be so kind as to tackle such a tough problem right away?

Of course, we should wait until we've gotten all the points we can before trying to get any meat!

Not to mention, as the person who set this exam paper, Qiu Chenggeng was fully aware of the level of difficulty of the last big question... It was the standard level of the second round of the National Higher Education Institutional Qualifying Examination, requiring the use of n-dimensional Cauchy inequalities to solve completely, an out-of-syllabus question!

He had his reasons for including such difficult questions in the exam—after all, this exam was for selecting direct entry slots to the National High School League, so what's wrong with adding more challenging questions for the second round? How else would you select participants if the exam wasn't difficult?

If you really want to put it bluntly, he was essentially creating a "missile crater" by using a question with a second-round difficulty level to ensure that Xia Qing and Zhou Yinshuang could get a spot, in order to avoid a situation where the question was too easy and too many people answered it, thus requiring a second round of testing.

He felt no guilt about it. As he said before, this is not a radish pit but a "missile pit". If you have the ability, then fill it in. If you don't have the ability, you'll just be on the side of the road even if you go to the high school league. You might as well stay in school and study!

So, initially, after noticing An Yi's unusual behavior, he was somewhat amused, thinking, "This kid will soon be completely bewildered and have to start all over again, right?"

But after waiting for a while, he didn't get the "completely bewildered" answer, nor did he find the "nowhere to start" answer... because after reading the question, An Yi only paused for a very short time before starting to write.

Without the slightest pause!

What's going on?

Yau Shing-Keng was momentarily stunned.

Is it just random writing?