Rule department scholar

buy!

Zhao Yi bought two exercise books, intending to understand all the questions before the Olympiad.

The high school-level Mathematics Olympiad has little to do with high school mathematics, but doing the Mathematics Olympiad can indeed exercise the flexibility of thinking, and he also hopes to improve his mathematics performance.

Not to mention getting a full score of 150 in the exam, it is acceptable to get a score of 140 and five!

……

After eating dinner, Zhao Yi tried to do Olympiad questions.

After struggling with a question for 10 minutes, he simply gave up the normal way of logical thinking and changed to mostly using causal thinking and a small part using logical thinking.

The topic was immediately simple.

[Find a four-digit number whose first two digits and last two digits are the same respectively, and the number itself is equal to the square of an integer. 】

Solution: Let the desired four-digit number be x, x=1000a+100a+10b+b.

Logical thinking ends here.

The following is the causal thinking time, a and b are numbers between 0 and 9, using the "Law of Karma" to get a=7, b=4.

Next step.

Use the "Law of Contact" to derive the problem-solving process.

Write down the answer.

"Perfect!"

Zhao Yi made an evaluation in satisfaction, and immediately turned to the next question, [Proving the multiplication of four consecutive natural numbers...]

"Pass!"

"Professional proof questions for 100 years! Don't waste time!"

The next question, 【Proof...】

"Pass!"

The next question, [to find the largest perfect square number, after crossing out its last two digits, still get a perfect square number (assuming one of the two numbers crossed out is non-zero). 】

its stuck.

This is the limitation of The Law of Karma.

"The Law of Cause and Effect" can find the correct answer among the options, but the use restriction is 'limited, the less the better'.

Limited is the premise.

Another premise is that there must be the correct option.

In addition, he himself has to make sure that there are correct options in it, and the question established by "guessing" or vaguely "none of the above" is untenable.

The number of options is directly related to energy consumption.

Finding the correct answer among dozens of options can consume several times more energy than finding the answer among ten options, and it will consume more energy for different situations.

Zhao Yi took a deep breath, and decided to give in to the question. It is impossible to get the answer directly with causal thinking. There must be some skills to solve the question.

Read the question again:

[To find the largest perfect square number, after crossing out her last two digits, a perfect square number is still obtained. 】

There is no upper limit range for this problem, so the number of digits cannot be determined by the "Law of Cause and Effect".

but……

"The last two digits must exist. Then, at least a three-digit integer..."

Use "The Law of Karma" to get the numbers 6, 8, and 1 respectively, cross out the last two digits, and the last three digits are 600.

Let n be the largest square number, a2=n-81

Analysis: a must be a number with 0 behind it, and the first non-zero mantissa after square is 4 or 6.

Using the Law of Cause and Effect, the number 4 is derived.

Guess what... 40?

402 = 1600。

1681 = 412。

correct!

Use the "Law of Contact" to derive the steps!

perfect!

……

Using the combination of causal thinking and logical thinking, Zhao Yi came up with more than a dozen questions in a row.

Can't stop at all!

Among them, there are also questions that cannot be solved, and those marked with letters such as x and y are the most annoying, because even the answers are symbolic expressions, and it is impossible to find out the answer without getting the steps.

Fortunately, most of the questions can be done.

Zhao Yi found that doing Olympiad questions is indeed very useful. In the process of continuously doing the questions, he became more familiar with the use of "Law of Cause and Effect" and "Law of Contact".

Stretched for a long time, walked to the room to the living room, picked up the apple on the table, took a bite, and sat down on the sofa.

"Finished the question? Are you tired?"

Liu Jing helped to get a glass of water.

Zhao Yi took it and took a sip, then watched TV with his parents.

The program "Brain Power Explosion" is being broadcast on the TV, and the two contestants are preparing to compete in the restoration of the third-order Rubik's Cube.

Zhao Yi came alive.

The two contestants are Jia Hongning and Zhou Junkai.

Jia Hongning looks like a popular niche student, wearing glasses with black rims on the upper edge, which is indeed a bit of a celebrity; Zhou Junkai is like the kind of student who is not good at socializing, and he is also very friendly to the people, and his kind smile can also give people favor.

The restoration of the third-order Rubik's Cube is compared with hand speed.

When the two people's Rubik's Cube is placed on the table, they can observe for a few seconds first, and the screen is aimed at the Rubik's Cube and the players' hands respectively.

Subsequently.

Start!

Swish, swish, swish...

Jia Hongning solved the Rubik's Cube in just over nine seconds; Zhou Junkai's hand speed was also very fast, but it obviously took two seconds.

The same goes for the second round.

Jia Hongning took 11 seconds.

Zhou Junkai is 12 seconds.

The game was a best-of-five game. In the third round, Jia Hongning solved the Rubik's Cube first, and raised his hands excitedly to shout for victory.

Zhou Junkai could only leave with a smile to hide his sadness.

Zhao Zhenxi half-lyed on the sofa, nodded and said, "This Jia Hongning is better than Zhou Junkai, so he gets up a little faster every time."

"Not necessarily."

Zhao Yi shook his head and said, "I just noticed that the first round of Jia Hongning's Rubik's Cube can be solved in only 22 steps, while Zhou Junkai's needs [-] steps."

"In the second round, Jia Hongning needed 24 steps, while Zhou Junkai needed [-] steps."

"In the third round, Jia Hongning's was easier, 23 steps, but Zhou Junkai needed [-] steps."

Zhao Zhenxi looked at Zhao Yi blankly, with an expression of 'what are you talking about, son'.

Zhao Yi smiled.

In the end Zhao Zhenxi shook his head, he just thought Zhao Yi was joking.

Go back to the room.

Zhao Yi turned on the computer, only to remember to send the completed algorithm package to Zhang Zhen.

Click to open.

send!

Zhang Zhen on the opposite side immediately accepted the document, and attached a surprised expression, "So fast?"

Zhao Yi: "Hurry up?"

Zhang Zhen: "You didn't do it all day, did you? /Shocked."

Zhao Yi: "Let's take a look, does it meet the requirements?"

Zhang Zhen: "Okay, now, just wait!"

opposite.

Zhang Zhen opened the file in surprise, and seeing more than 200 lines of code inside, he put it into the programming software, made changes at the beginning and end, and ran the debugging directly.

A success!

Then input some data that is prone to problems, and run it directly to get the sorting successfully.

no problem!

He was even more surprised immediately.

The difficulty of this algorithm package is not too high, but even if he is asked to do it, it is impossible to complete it without a whole day.

Design takes time.

Writing code takes time.

It takes more time to debug and modify.

Zhao Yi is a high school student, or a third year student, so he should be in class.Even if you don't go to class and work all day, it is quite remarkable to be able to complete the algorithm package.

"Look again!"

Zhang Zhen opened the code page and carefully read the code line by line.

Chapter 69 The Best of the Best High Schools

The capital, Zhouyu Interactive, is a medium-sized technology company with a total of more than 200 employees.

More than half of them are engaged in operations, personnel, legal affairs, sales, etc. There are more than 70 people in the core technical department, including a general manager and two department managers.

Zhang Zhen is in the technology department of Cosmos Interactive, and is the manager responsible for developing new products. His position is second only to the general manager in importance.

As an employee who joined later, being able to become the manager of the technical department within a few years is enough to prove Zhang Zhen's ability.

He is a very successful returnee.

He graduated from Capital University with a bachelor's degree and studied as a graduate student at the University of Michigan in the United States. After graduation, he worked for Microsoft for four years. He also joined the Windows system development team, but because he could not give up everything in China, he gave up his green card and chose to return to China for development.

Zhang Zhen's work experience is rich and his abilities are very comprehensive.

He is most proficient in architecture, which is the research and development of the underlying framework, but he can also say "proficient" in algorithms and software outer layer design.

For example, a large part of his algorithm library subcontracting work is often completed by him and other people working overtime.

It is difficult to outsource all of this.

It is a dream for technicians in the computer industry to work from [-] to [-]. Excellent algorithm engineers are often very busy and can't even finish their own work, let alone have time to do part-time jobs.

It is not reliable to contract all the big money to other companies.

Money is only one aspect.

In some small companies and leather bag companies that do outside work, the ability of employees is really hard to describe, and the design of the underlying algorithm library is very important, and the upper-level software design must be used. If there is a mistake, it may take ten times, dozens of times the energy and money to make up for it. .

Zhang Zhen's consideration is to use his personal relationship, find reliable people to distribute some workload, and then collect all of them together for integration.

In fact, when he yelled in the group, he really just yelled casually, like a house seller handing out leaflets, even if they can't be sold, it must be right to send them out.

What if?

Sure enough, almost no one in the group responded.