Blue Star Sea Diamond

Chapter 40 Intense Discussion of Algorithms

Jiang Shan took a few people to a meeting about the transmitter.But the focus of this meeting is to discuss things about aliens.But this time the discussion is not just the curiosity of a few astronomers about aliens, but the discussion of aliens as a rigorous subject.There are also many questions about future computers, even more than the discussion of aliens.The initiator of this meeting was Kong Qiuming.What Liu Chengyi didn't expect was that this pedantic man was so interested in alien affairs.Among them were Liu Hui, an old friend, and Xia Shangbu, Kong Qiuming's proud disciple. He was a man of blue origin.

Kong Qiuming likes to conduct in-depth discussions on the complex principles of computing, so it is difficult for ordinary people to understand what he says.Few can understand the profound meaning of Kong Qiuming's words.

Liu Hui is good at rebutting Kong Qiuming's meaning and often raises questions that even Kong Qiuming can't say. Although Kong Qiuming is a little bored, he still reuses him.

Xia Shangbu is the most talented person among Kong Qiuming’s students. He is also an old and optimistic person among the symbol players. He will even give the position of heir. Many people think Xia Shangbu’s talent is even the most on the surface. Strong, he is very smart and easy to learn, and often inspires people to have a deep understanding of science. Most of the big hypotenuse led by Kong Qiuming was created with him as the soul.

After Kong Qiuming introduced Liu Chengyi to his students, he began to say to the students: “The traces of aliens are becoming more and more obvious. It is necessary for the people on earth to have sufficient evaluation ability to assess the degree of danger to life on earth by aliens and the earth The ability of people to respond to this. The people on earth began to complete this large-scale calculation plan, called the big hypotenuse. Zhang Wu needs to tell everyone about this."

Zhang Wu said: "Big hypotenuse calculation involves alien population distribution, technological level, weapon type and offensive ability. However, no matter how difficult it is, at most for calculation, it is done by adding a few chips."

Liu Hui said: "Improving computing power is a great thing. We need to understand the complexity of computing. Are you sure to do this well?"

Zhang Wu said: "The most difficult problem in the world is the simplest problem in the world. There are so many, so hard to imagine. Is there a simple way? If there is, there will be no simple way again. If there is a way, then It will also become difficult to count further away, even with the help of complex machines, one day it will collapse, that is, many machines will be separated to read."

Liu Hui said: "If there is a simple method to solve the problem, the calculation time will be shorter and the efficiency will be higher. Can a range be solved in a short time, a few minutes or even a few seconds. Then after that, the calculation will become easier. So what about the longer one? The one is very long and very long, it is arbitrarily long, can it? But, different lengths should be different algorithms. If the different lengths are the same algorithm, the longer it is, the slower the calculation. It’s a simple ratio, so when it grows to a certain extent, it will definitely slow down. So there is no easy way. There must be different methods all the time, or different situations of the same algorithm. That’s also difficult."

Zhang Wu said: "With the improvement of calculator capabilities and the improvement of calculation simplification, it will be solved gradually."

Liu Hui said: "If there is, it means that there are super long numbers to solve, the super long numbers are also solved, and the infinity afterwards are also solved. Then the solutions are not completely equal, the methods used for different numbers They are different, and can reach a level that humans can’t bear. So although the latter method cannot be used in the front, the method that should be in the back should be as simple as the one in the front, so the latter, and the latter, etc. At that time, it should be relatively simpler and easier."

Xia Shangbu said: "If we want to say that there is a simple way, then we still need to be in our expectation. In our expectation, this is called a law that we know from the front to the back. It can be called the existence of simple methods, then this law is the law of simple methods, but when it reaches a certain level, it will not be counted. Therefore, the law of this method must be divided into sections, and there must be a law. So and so on , There has always been this rule, and it can be solved by pushing it to the upper level. At the beginning, it is mostly the zeroth level, then the first level, the second level, and the higher level derivation. So the level problem is very important Once you see a problem, you need to determine the level first."

Liu Hui said: "Layering will also encounter difficulties. Moreover, there are too many counts and too many calculations, and work needs to be done at the beginning, which is very cumbersome."

Xia Shangbu said: "When you see the problem, determine the layer, you will first count the number of layers, and determine the number of bits to determine which layer to use. If the number of bits is very slow, just divide the number and use distributed. It will solve the problem quickly. So to solve the problem of the layer is to use multiple machines to calculate. Multiple machines can solve the time problem of one machine. When there are many, how many machines can be calculated to calculate the most reasonable? Here is reasonable Refers to the shortest time, not too many machines as much as possible, and relatively simple calculation."

Speaking of Xia Shangbu, he began to draw his own model and formula on the blackboard.

Liu Hui said: "I can't see the edge for a while. That is an approximate infinity problem. Will your solution solve this? Can you start from the beginning? If it is solved by a different method, it is only a semi-solved state, and this kind of thing will exist. Can it be solved by another way of thinking, but it is not a one-time solution, because the above may be irregular and need to be discovered continuously. That is to say, when complex calculations appear because they are too large and too strong to be used when simple, say It is the "method for later use". So can humans predict the "method for later use"? So do humans already have some equations for later use that humans are not aware of?"

Xia Shangbu said: "One after the other, the numbers can’t be seen from the side. How can this be the case? One piece of paper is dissatisfied, and the other is dissatisfied. That can also be determined from the paper and the book. Stop sending here, and you will feel a sense of uncertainty when it will end. At this moment, can it be solved? If it can't be caused by the uncertainty of the next digit, can it be solved in stages? Can it be solved in sections? If you don't know the whole, and each part solves something accordingly, can it be solved?"

Kong Qiuming said: "It's too easy to use the layers of problems."

Xia Shangbu said: "The expected way of the problem of layers and the anticipation between the layers finally have the highest layer. That layer is a method. This expected whole is called "the unexpected The method triangle". If it is big enough, it is expected that the big triangle will be more complicated, because there are too many layers, so the formula for the up and down relationship of different layers also needs to be regular, which is called the "big triangle layer height law." This big triangle layer height law must also be simple to use, but when it is too large, extremely complicated situations will occur, so "the big triangle layer height law will also appear for the big triangle layer height law", which is called the "triangle layer height law" ."By analogy, we need to have the rules of triangles that are difficult for humans to bear. How many triangles are reached is called the law of triangles, and it must be drawn into a shape, that is, a high A single shape in the shape of a three-dimensional triangle."