Playing chess on the big chessboard of 21 is undoubtedly very tiring.

In particular, the two know each other well, and the level is comparable, and more importantly, the two of them have an extremely correct attitude towards the game this time, and play this game with a pious mentality that is almost "exploring the true meaning of chess".

Then when such a chess game is played, it will naturally be more tiring.

From the beginning to the end of the game, another two days passed.

"Hehe, Brother Ding'an, it seems that I am a little inferior after all." -------

This game of chess is Li Xiangping holding black, and finally there are 7 meshes on the board, compared to the 8 meshes on the board of Lao Shi last time, so Li Xiangping said the above words.

However, although he feels "slightly inferior", Li Xiangping does not have any dissatisfaction, let alone negative emotions such as "depression" and "loss".

First of all, compared with an old monster like Ren Lao Shi, who has lived for hundreds of years, isn't it normal for him to be "slightly inferior"? This is completely acceptable, since the heart thinks that it is possible to accept it, of course, it will not produce any negative emotions.

Secondly, and more importantly, through playing such a game of chess with an almost pious mentality, Li Xiangping really feels that he has gained a lot, and since he has other gains, then of course he will not care about the outcome of this kind of chess.

"Hehe, Xiangping little friend is polite...... By the way, Xiangping Xiaoyou, do you feel it now, did we take it for granted last time? ”

"Huh?! Hahaha, Brother Ding'an, let's just think of a piece......."

After all, they have been getting along day and night for so many years, although they have not yet reached the realm of complete "heart-to-heart", but Li Xiangping still understands Lao Shi's words.

Lao Shi said "take it for granted", in fact, it was said that last time, the two of them had a "take it for granted" idea of how to judge the winner on the 21-way chessboard.

To be specific, the last time Lao Shi faced 8 meshes, why didn't the two say that Lao Shi won the chess? This is the reasoning of the two out of a kind of "assumption".

Here's how this "assumption" comes about:

On a normal 19-way chessboard, the current Go rules are 6 and a half black stickers or 7 and a half black stickers.

Well, let's look at the situation of the small chessboard first: on the 9-way small chessboard, can black still stick 7 and a half or 6 and a half meshes?

The answer is very clear: although I don't know how much to post, anyone who has played Go knows that on a 9-way board, black can't post so much anyway.

If you really want to post so much, then let two professional chess players play, and the black side will lose 10 games if they play 10 games.

Consider the case of the 11-way board and the case of the 17-way board.......

Therefore, before the 19-way board, you can get a simple inference: as the board expands, then the number of black pieces should slowly increase.

This is how the last "assumption" between the two came about: since the 21-way board is larger than the 19-way board, shouldn't the stickiness of black also increase?

Just how much should be added exactly? The two of them didn't know the bottom in their hearts, and they couldn't say clearly, so the last time Lao Shi faced 8 eyes, both of them couldn't say who would win and who would lose.

However, through today's second game, Li Xiangping has an obvious understanding, that is, he now believes that the popularity of this black chess piece has not been increasing with the expansion of the chessboard.

There must be a limit to the sticker, or there must be a limit value, and even in the process of expanding the chessboard, there may be an inflection point in the sticker. In other words, when the sticker reaches a certain level, it may not increase anymore, and it is very likely that as the board continues to expand, it will start to slowly decrease.

The question about "limit values" is well understood, and here is a little explanation:

The so-called "eye" in Go is actually to counteract the efficiency of black's advance, or it can also be seen as the average value of each move on the board.

If you look at the sticker from this point of view, the question is simple: since it is the average value of each move, can this value be infinite? This is of course impossible.

Because Go is complicated, but the chessboard is an enclosed space, and it is an enclosed space with boundaries!

Since it's a limited space, there must be a limit to something like "sticking to the eye", and it can't be so big forever.

Let's take an intuitive example: if Li Xiangping is now playing chess with Lao Shi on a 31-way chessboard, and Lao Shi finally leads by 15 goals in black, then Li Xiangping is embarrassed not to admit that he lost?

Well, Li Xiangping is not so thick-skinned, of course he is embarrassed, let alone 15 meshes, even if it is only 10 meshes, he must admit that he lost------ because the average value of each chess hand on the chessboard, it is basically impossible to reach 10 meshes, no matter how big the chessboard is.

It is not difficult to understand the concept of "limit value", so what really interests Li Xiangping now is: since "sticking" cannot be big forever, does it have an "inflection point"? If there is an inflection point, where will it appear?

Does it appear on the most standard 19-way Go board that humans are currently adopting?

Li Xiangping didn't know what other people thought, but when he himself began to think about this issue, he immediately thought that the truth was likely to be the case.

In other words, if there is really an inflection point in the past, then the most likely place for this inflection point is precisely on the most standard 19-way Go board!

"Brother Ding'an, I remember that before the Han Dynasty in our country, everyone mainly used a 17-way chessboard, right? , It wasn't until after the Three Kingdoms and the Two Jin Dynasty that the 17 road was officially abandoned and the 19 road was adopted, so do you know what made people make this trade-off? ”

Lao Shi said with a smile: "No, in fact, in my Huaxia, 17 and 19 roads have coexisted for a long time, and even in the Tang Dynasty, there are still people who use 17 road chessboard to play chess, it should be after the Song Dynasty, 17 road chessboard officially withdrew from the historical stage, completely replaced by 19 road." ”

Li Xiangping nodded when he heard this, Lao Shi's words are consistent with modern archaeological discoveries, such as some tombs in the Tang Dynasty in the archaeological world, and some stone chessboards with 17 roads have really been unearthed.

However, at this time, Li Xiangping's focus was not on this aspect, he was more concerned about what considerations the ancients had for abandoning the 17th route and adopting the 19th route.

"Brother Ding'an, I'm not asking about this, I want to know what kind of considerations the ancient sages had before they thought of replacing the 17-way chessboard with a 19-way chessboard?"

Lao Shi said: "It's very simple, the 17-way chessboard is not easy to reason, it violates the way of yin and yang between heaven and earth, and it is taken for granted by the 19-way chessboard." ”

Li Xiangping was stunned: "Yi Li? The way of yin and yang? ”

"Of course! Xiangping friends, you need to know: Yi is words, easy to say, and the decimal is so good. The player, the transaction also, from one change to ten million changes, has its constant, in order to pass through nothing unchanged. The end of the change is in God, and the god is almost more than the transformation. In line with the week, as varied as possible. Hold a few more than the first, hide the gods in the secret, not through the origin of creation, it is not easy to say this, it is also ......."

"Stop, stop, Brother Ding'an......." Hearing that Lao Shi began to talk about dropping his bookbag again, Li Xiangping was really angry and funny in his heart, and he forcibly interrupted:

"Brother Ding'an, I know that you are proficient in Zhou Yi, but you don't need to show it off here, in fact, about this issue, well, it is about why the 19-way chessboard can become the final choice of human beings, when I was in my previous life, I heard another more superficial explanation, do you want to listen to it?"

"Oh, then you can hear it."

"Quite simply, it's actually a question about "equilibrium......."

Li Xiangping really didn't lie just now, probably in the early 90s of the last century, there were really experts in China who thought about this, and published a special research article on the "Go World", discussing why the 19-way chessboard is the most suitable choice for everyone.

The core point of the article is simple: the reason why everyone chooses the 19-way chessboard is because of the consideration of sub-effect balance.

When it comes to the sub-effects in Go, basically every move is composed of two parts: first, the efficiency of this move to obtain the ground, and second, the efficiency of this move to obtain the external potential.

Among all the chessboards, only on the 19-way chessboard, these two efficiencies are the most balanced, smaller than the 19-way chessboard, the efficiency of taking the field is obviously higher than the efficiency of taking the external potential, while the large chessboard is the opposite, the efficiency of taking the external potential should be significantly higher than the efficiency of taking the field.

And the article argues that it is precisely in order to maintain a certain balance that people finally set the Go board on the 19-way.

After Li Xiangping finished explaining this truth briefly, he said to himself:

"Brother Ding'an, what do you think?"

"Well, there is some truth in this, and it has been secretly combined with the way of easy counting, but Xiangping Xiaoyou, if you want to fully understand it thoroughly, I still recommend that you study it......."

"Stop, stop!"

Li Xiang said in his heart what is going on with his plug-in? What era is this, and you still want to seduce yourself to study what Zhou Yi? As a modern promising young man, how can he study this kind of godly chatter?

It is precisely because of this that Li Xiangping decisively told Lao Shi to shut up.

But after Lao Shi really shut up, Li Xiangping couldn't help but think:

“....... Well, not only does Lao Shi like Zhou Yi, but it seems that Boss Wu also likes Zhou Yi in his old age...... Could it be that stuff really helps with Go cultivation? Shouldn't I think about it too....... No, no, it's been many years since I think about it, I'm so young now, and now I think about that kind of godly chatter, doesn't that make people laugh at me? So no, no, this kind of thing definitely doesn't work now......."

Since he has made up his mind to reject Lao Shi, and this question seems to have been explained clearly just now, at least at this time, the two have reached some kind of consensus, so Li Xiangping hurriedly changed the topic:

"Brother Ding'an, I'm thinking like this now, if you don't have an opinion, then we will use the 21-way chessboard training in the future, and use the black paste 7 mesh as the standard for judging the winner or loser, what do you think?"

"Hehe, I don't have an opinion, everything depends on Xiangping Xiaoyou."

After finishing this sentence, Lao Shi added another sentence:

"Alas, no matter what, if we can set this standard today, then we can be regarded as a great gain in today's game, at least pointing out the direction for future training."

Li Xiangping nodded empathetically after hearing this, you must know that in this kind of training, it is very important to have a standard for judging victory and defeat.

For example, when he reached the middle game, Li Xiangping judged that he was 8 meters ahead of the board, so should he think he was an advantage or a disadvantage?

Obviously, he must have a standard in mind to judge the winner and loser in order to better guide his next move.

Now, the standard has finally been set.

Regardless of whether this standard is right or not, anyway, such a standard does not need to be announced to the public, it is a matter between him and Lao Shi, so from this point of view, this is of course a big gain in this game of chess.

Originally, in addition to this harvest, Li Xiangping had other gains, but by this time, he didn't have time to communicate with Lao Shi too much.

Because when the two of them finish this game of chess, a new round of siege is about to start, and this round of siege is away, so Li Xiangping must immediately meet with his teammates and rush to the field.

Not only that, but at this time, the opening date of the new "Chunlan Cup" has also been determined, just on the third day after the new round of armor. So in the next week or so, Li Xiangping must have been running around the field.

In the afternoon of the same day, Li Xiangping rushed to the airport to meet his teammates, and the destination was the spring city of Kunming------ their opponent in the next round, which was the Yunnan provincial team.

On the second day, Li Xiangping played the main general platform again, and he played the main general platform for no other reason, because Xiao Li is currently in the Yunnan provincial team, as a super foreign aid, he has been the best choice for the main general of the Yunnan provincial team this season.

However, when Li Xiangping went out to fight, he couldn't help but be stunned when he saw that it was "Long Feihu" sitting opposite.

But after seeing Xiao Li play in the rapid chess table, he suddenly understood everything------

This must have been proposed by Xiao Li on his own initiative, and he wanted to meet him on the main stage, but with Xiao Li's character, he definitely wanted to touch himself on the rapid chess platform.

Not only did Li Xiangping see it, but the coaches of the two teams also saw it, so at the end of the game, after Li Xiangping's team won the "home win" with a score of 2-1 again, Coach Wu laughed, and he joked to the coach of the Yunnan provincial team:

"Hahaha, it turns out that Xiao Li wants to touch Xiangping so much? That's okay, I'll give you a chance, aren't we going to meet again this year, wait for the next time you choose, which one do you want to arrange for Xiao Li to squeak in advance, I promise to arrange the same platform under Xiangping. ”

Of course, the people who play Go will not be afraid of this, so the coaches of the two teams high-fived and swore an oath.

After playing this game of chess, Li Xiangping rushed to Taizhou, Jiangsu Province non-stop to participate in the opening ceremony of the "Chunlan Cup".

Since he is the defending champion, he only needs to play the next game this time.

Two days later, when Li Xiangping defeated South Korean veteran Liang Jae-ho relatively easily, the time had entered July 2004, and it seemed that it had entered the half-year summary time.

When someone began to summarize the half-year, they found out that since losing to Li Canghao last year, Li Xiangping has only lost one game of chess this year, and he lost one game to Gu Dali in March, and then won all the way to the present.

So at this time, "Who can stop Li Xiangping?" It has once again become a hot topic in the Go world.