Tik's whole body was in a mess. He originally thought that he had studied the Mathematical Olympiad two months in advance and had sufficient knowledge reserves. He should be able to solve the Mathematical Olympiad questions with ease.
But the first question stumped him.
If this calculation stopped at hundreds or thousands, he could still bite the bullet and slowly calculate the result, but the last value was 999.9 million...
No, there must be some pattern!
Tik quickly realized that when he was at Iyetta Harbor, Lin En had played a square game of exponential summation. It was also a very complicated operation, but through a wonderful exponential formula, he could easily sum it up. The originally complex calculation process has been simplified to the point where an apprentice can calculate it in a short time.
Thinking of this, Tik picked up the quill and quickly calculated on the manuscript paper. He listed the products of the first ten columns of indices on the paper, then added them up one by one, and repeatedly considered the difference between each value. similarities and differences.
【1, 4, 9, 16, 25...】
【5, 14, 30, 76...】
Tik bit the end of his quill and thought hard, numbers passing through his mind. He tried to substitute the exponential summation formula he had learned in the Mathematical Olympiad class into it, and compared the calculated value with the result, and then continued Change the formula to find a correct answer.
No, the number ten is too few, not enough to confirm the pattern...
Tik's quill kept shaking on the manuscript paper, and numbers and symbols were written out one after another, but they were quickly crossed out and the calculation started again.
Page after page was discarded on the ground, slowly reaching the ankles.
Unknowingly, the sky was already dark, and Tik had already counted the afternoon and the night. His pupils were bloodshot, but his spirit became more and more excited. Finally, he stood up suddenly, so excited that he could not control himself.
"So that's it, that's it!"
Just like walking in the desert, a person who was already hungry and thirsty suddenly saw an oasis. Tik took another page of manuscript paper in high spirits and matched the previously calculated values with the answers calculated using the formula one by one.
"Everything is correct, my formula is correct!"
Tik was extremely excited. He imitated Linn's exponential summation formula and solemnly wrote one line after another on the page.
【Sn=1/6(n+1)(2n+1)n】
After finishing writing, Tik sat down again, feeling extremely comfortable. This feeling of discovering unknown patterns and summarizing it made people addicted to it.
Tik couldn't wait to look at the next question.
[Five monkeys found a pile of peaches on the beach and decided to share them equally the next morning. The first monkey came the earliest, but it couldn't divide the peach equally anyway, so it ate the extra one, and the rest was divided into 5 parts. It took its own part and left.
Then the second monkey arrived. Not knowing that another monkey had already come, he also ate one, divided it into five equal portions, and kept his own portion.
The third, fourth, and fifth monkeys are all like this. After eating one peach, the rest can be divided into five equal parts. How many peaches are there in total? 】
The first time he saw this question, Tik breathed a sigh of relief. Isn't this just a simple equation question?
Frogs jumping into wells, sliding snails... He had seen the apprentices do it many times when he was at Ieta Harbor. He only needed to put a few unknown numbers into the formula to perform calculations.
But it wasn't until he picked up the pen to start the calculation that Tik suddenly realized something was wrong, because this time Lin En's conditions were too few.
The only known condition is that these peaches have been divided five times, and one is reduced before being divided. As for the number of each division and how many peaches are left after the last monkey divides it, it is totally TM is unknown.
Tik wrote out the existing conditions. After thinking about it for a long time, several of his hairs were pulled out. For a moment, he felt like he had no idea what to do, and he couldn't help but feel the urge to beat up the person who wrote the question.
Is this really a question that people can solve?
In desperation, Tik could only estimate a number at random, assume it was the total number of peaches, try to calculate it, and then slowly find the pattern.
There were not a few wizards who were tortured by these brain-burning Mathematical Olympiad questions like Tick that night. Most wizards fell down 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. , but real warriors can swim upstream and enjoy this feeling of both pain and happiness.
…
At the same time, Lin En, who was worried about hundreds of wizards and wanted to beat him up, was currently constructing a new scene in the magic field.
Linn made the second gathering place look like a library, which was filled with all kinds of Olympiad books. Then Linn began to think about what he should use as bait to attract the wizards in the magic field. stay for a long time.
It is not an easy task to decipher the spiritual frequency of an official wizard and thus access the opponent's computing power.
The [Gathering of the Faceless Men] created by Helllam took a year or two to complete the decoding of the spiritual frequencies of more than a dozen three-ring wizards.
Lin En didn't have much time to wait slowly, so he thought of a way to speed up the progress, which was to let these wizards stay in the magic field and do crazy questions to consume mental energy, thus speeding up the progress of the brain's cracking.
Calculus may be a good choice, it is brain-burning enough. Many wizards still know about the many theories and formulas he proposed before, but do not know why. Learning calculus will also help these wizards understand those formulas and formulas. The derivation process of the theory.
Of course, the wizards of Greenleaf are not completely ignorant of calculus. For example, the secant method they used to calculate pi—using the circumference of a circle inscribed in a regular polygon to continuously approach the circumference of the circle—was applied to calculus. knowledge.
There are even wizards who have successfully derived an algorithm for calculating the volume of a sphere using a method similar to that of combining square lids, and the results are very accurate.
It can only be said that there are smart people everywhere, but in the past there were not many wizards who were willing to focus on studying mathematics seriously.
Most wizards still prefer subjects such as elements and shaping, which can intuitively gain power and master magic as long as they are studied. Basically, only those alchemists will take the time to study this stuff in depth.
While Lin En was thinking about it, a heart palpitation that had not come suddenly appeared in her heart...
Almost instantly, Lin En broke free from the magic field and opened his eyes suddenly. There was nothing in front of him, but the invisible magic barrier had been blessed on his body.
Then there was a slight sound, like a blade cutting cloth, and a strange dagger slowly emerged from the air, densely covered with complicated runes, and slashed straight towards his neck.
