But this first question stumped him.

If this equation stopped at a few hundred or a few thousand, he could still work it out slowly, but the final value was 999,900,000...

No, there must be some pattern! Tik quickly realized that when he was in Yieta Harbor, Lin En had played a square board game of exponential summation, which was also a very complicated calculation. However, through a wonderful exponential formula, he easily simplified the originally complicated calculation process to the point where an apprentice could calculate it in a short time.

Thinking of this, Tik picked up the feather pen and started to calculate quickly on the manuscript paper. He listed the products of the first ten columns of exponents on the paper, and then added them up one by one, repeatedly pondering the similarities and differences between each value.

【1, 4, 9, 16, 25...】

[5, 14, 30, 76...]

Tik bit the end of the quill and pondered. Numbers flashed through his mind. He tried to substitute the exponential summation formula he had learned in the Mathematical Olympiad class, and compared the result with the value he found. He then kept changing the formula to find a correct answer.

No, ten numbers are too few, not enough to confirm the pattern...

Tick's feather pen kept shaking on the manuscript paper. Numbers and symbols were written one after another, but were quickly crossed out and the calculation started again.

Page after page was thrown to the ground, slowly covering the ankles.

Before he knew it, it was already daybreak. Tik had already counted an entire afternoon and a night. His eyes were bloodshot, but his spirit was becoming more and more excited. Finally, he stood up suddenly, unable to control his excitement.

"So that's how it is, so that's how it is!"

It was like a person walking in the desert, hungry and thirsty, suddenly seeing an oasis. Tik was full of energy and took another page of manuscript paper, matching the previously calculated values ​​with the answers calculated using the formula one by one.

"They are all correct, my formula is correct!"

Tik was extremely excited. He imitated Lynn's exponential summation formula and solemnly wrote down line after line of formulas on the paper.

【Sn=1/6 (n+1)(2n+1)n】

After finishing writing, Tik sat down again, feeling extremely relaxed. The feeling of discovering unknown rules and summarizing them made him indulge in it.

Tik couldn't wait to look at the next question.

[Five monkeys found a pile of peaches on the beach and decided to divide them up the next morning. The first monkey arrived the earliest, but he couldn't divide the peach into two equal parts, so he ate the extra one. The remaining peaches were exactly divided into five parts, so he took his part and left.

Then the second monkey arrived, and unaware that a monkey had already been there, he also ate one, then divided it into five equal portions and kept his own portion.

The third, fourth, and fifth monkeys do the same thing. They eat one peach, and the remaining one can be divided into five equal parts. How many peaches are there in total?

When Tik saw the question for the first time, he breathed a sigh of relief. Isn’t this just a simple equation?

But it was not until he picked up the pen to start the calculation that Tik suddenly realized something was wrong, because the conditions given by Lin En this time were too few.

The only thing we know is that the peaches were divided five times, and one peach was subtracted before each division. As for the number of peaches divided each time and how many peaches were left after the last monkey divided them, these are all unknown.

Tik wrote down the existing conditions and thought for a long time. He pulled out several strands of his hair. For a moment, he felt like he had no idea where to start. He couldn't help but have the urge to beat up the person who set the question.

Is this really a problem that a human can solve? Tik had no choice but to make a random estimate and assume it was the total number of peaches, then try to substitute it into the calculation and slowly look for the pattern.

That night, there were many wizards who were tortured by these brain-burning math problems like Tik. Most of them failed on the first three questions and angrily tore the manuscript paper in front of them in half or smashed the tables and chairs to pieces. However, the real warriors were able to go against the current and enjoy this feeling of both pain and happiness.

…

At the same time, Lin En, who was being targeted by hundreds of wizards and wanted to be beaten up, was building a new scene in the magic field.

The second gathering place was turned into a library by Lin En, which was filled with various Olympiad mathematics books. Then Lin En began to think about what he should use as bait to attract those wizards to stay in the magic field for a long time.

It is not an easy task to crack the mental frequency of a formal wizard and thus access his computing power.

The Faceless Gathering created by Helram took one or two years to crack the mental frequencies of more than a dozen three-ring wizards.

Lin En didn't have that much time to wait, so he thought of a way to speed up the progress, which was to let these wizards stay in the magic field and do questions frantically to consume their mental energy, thereby speeding up the brain's cracking progress.

Calculus may be a good choice, which is brain-burning enough. Many wizards are still confused about the many theories and formulas he proposed before, knowing what they are but not why they are. Learning calculus can also help these wizards understand the derivation process of those formulas and theories.

Of course, the wizards of Greenrill were not completely ignorant of calculus. For example, the method of cutting the circle they used to calculate pi - using the perimeter of a regular polygon inscribed in a circle to continuously approximate the circumference of the circle - applied the knowledge of calculus.

There are even wizards who have successfully used a method similar to Mouhe Fanggai's to derive an algorithm to calculate the volume of a sphere, and the results they obtained are very accurate.

All I can say is that smart people are everywhere, but in the past there were not many wizards who were willing to focus on and seriously study mathematics.

Most wizards still prefer subjects like elements and plasticity, which allow them to intuitively gain power and master magic as long as they study them. Basically, only alchemists will take the time to study these things in depth.

As Lin En was thinking about it, a sudden palpitation suddenly emerged in his heart...

Almost instantly, Lin En broke free from the magic field and opened his eyes suddenly. There was nothing in front of him, but an invisible magic barrier had been cast on him.

Then there was a slight sound, as if a blade was cutting cloth. A strange dagger slowly emerged from the air, covered with complicated runes, and slashed straight towards his neck.

(End of this chapter)