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Chapter 455: Mathematicians Don’t Jump Without Inequality

[Player No. 12 please speak]

"Or maybe it could come out between 10 and 11 today."

"Player No. 9 said to randomly click on anyone and click on a pit. Once everyone starts passing messages, there will be no more passing messages. As long as the Wicked Wolf dares to secretly click on three wolves to pass messages, we can then infer who the Wicked Wolf is based on the wolf pit."

"It sounds reasonable at first glance, but it's really too difficult to play."

"One is that there are too many speaking rounds. The Wicked Wolf can pass on messages to his wolf teammates at any round, and we can't remember every person who is mentioned in every round so clearly."

"The second is that if we play like this, the Wolves will definitely benefit, but our benefits are unknown."

"Player No. 9 said that we can reversely find the Strange Wolf by looking at the wolf pits that each person has chosen. The problem is that we are not sure who the wolf is. How can we reversely find the Strange Wolf?"

"So try not to do anything rash, just play normally, and after me, don't randomly click on people, so as not to be misunderstood."

What player No. 12 said was very clear. He did not agree with player No. 9's playing style and did not recommend playing according to player No. 9's playing style.

Because playing like this provides great convenience for the Wandering Wolf to pass messages, he can talk to the little wolf without thinking, and the Wandering Wolf will become extremely comfortable.

It is difficult for the good guys to find the strange wolf. They have to identify the little wolf first and then work backwards to find the strange wolf. There is also the possibility of accidentally attacking the good guys in the wolf pit, which is extremely troublesome.

So why do we play this way? New tricks and ways of playing are not necessarily better than the old ways, so it is better to stick to the old ways.

"Although I don't agree with the way Player 9 plays, I think he is most likely not a wolf, because from his speech, I can feel that he really wants to find the Wicked Wolf and provide new playing methods and ideas for the good guys."

"To put it simply, his mentality is good and he doesn't sound like a wolf."

"To be honest, except for the good guys with wild imaginations, I don't think a wolf would dare to speak like this. It's too outrageous to blatantly deceive the good guys and let the strange wolf pass the message."

"Of course, maybe he is just so arrogant, and he wants to create an environment where it is easy for Weird Wolf to pass on the message, or he wants to take a chance, just in case he deceives the good guy."

"This possibility exists in theory, but I don't want to discuss it. If I discuss the logic with this mentality, there will be no good person on the field who can recognize it."

"Player 10 is following Player 9's idea. He has a bandit side, and it is possible that he is a wolf. He will take advantage of the situation to lead the pace. Anyway, this head start was started by Player 9. If a good person wants to fight, he will only fight Player 9 and will not pay special attention to him."

"Of course, this is just my guess and may not be correct. I just want to say that I can accept player No. 9 for now, but I cannot accept player No. 10 who follows his logic."

"Player No. 11 has similar ideas to mine, and does not agree with the play style of Player No. 9. From this point of view alone, his banditry is smaller than that of Player No. 10, but his identity is not as good as that of Player No. 9."

“我对前置位9、10、11的身份排序是9号玩家最好，11次之，10号玩家匪面最大。”

"Note that when I say the bandits have the biggest presence, I'm comparing them to players 9 and 11. If you don't compare them that way, then player 10's comments are also okay."

"Because he talked about a point that I agree with very much, which is that when the mathematician jumps out the next day, we should trust his information about the verification of people and stop wondering whether the result has been affected by the Wraith Wolf."

"This board requires us good people to make choices, so how can we choose the one with the highest probability of being right? That means choosing the thing with the highest probability."

Player No. 12 made a relatively detailed comment on the people who had spoken in the previous position and ranked their identities.

Player No. 9 has the highest status, so he can be temporarily recognized. Player No. 11 has a similar idea to him and is also doing a better job. However, Player No. 10 is the most wolf-like among the three of them.

What’s interesting is that 12 didn’t criticize 10 too harshly. Instead, he said that 10 also had some good points to talk about.

In this way, the hostility of Player No. 10 towards him is reduced to a great extent, which is a bit like giving a slap in the face and then giving a sweet date.

As for his suggestion of going out between 10 and 11 today, it was actually a joke. He didn't hear so many people's speeches, so it's not necessary to say that today is the 10th or 11th round.

"This is what I think. We must pay more attention to people who are suspected of delivering messages, especially when we are lighting a wolf pit. We must be more careful and cautious."

"As a good person, you should try your best to avoid being misunderstood by people in the external position. As for how to do this, everyone depends on their own ability. It's like the Eight Immortals crossing the sea, each with their own magical powers."

"Oh, by the way, if the mathematician verifies that the equation is true, then don't jump out. Let's continue to push deep. Because if the equation is true, you don't have a shield, and if the wolf knife falls on you at night, you will die."

"But it's different if the equation doesn't hold. There will be a shield at night, and the wolf knife won't be able to do anything to you. You can report your personal information the next day."

"The most important thing is that there is a wolf in the inequality. We can choose between happiness and fate."

Player No. 12 made a very good point on this point. Mathematicians had better be able to protect themselves before jumping out, otherwise they will have to eat a knife at night.

Unless there is a pair of jumps, that's another matter.

Assuming there is no Wolf on the field to pretend to be a Mathematician, then she'd better wait until the inequality is verified before jumping, so as to maximize the effect and value of this card.

Being able to talk to a mathematician like this, Player No. 12 has undoubtedly got a good mentality and is most likely not a wolf.

That's right, it's just a high probability, because no one can guarantee whether he is a wolf or not, and he deliberately chats like this to create an identity for himself.

But generally speaking, player No. 12 can be temporarily recognized, as he will definitely not appear on the first day.

[Player No. 1 please speak]

"Since I've been asked to come out and get the badge to lead the team, I won't hide it. I'll stand here with a gun, and welcome werewolves to jump against me."

Player No. 1 stood up and revealed his identity: Hunter.

As for the last half sentence, welcoming werewolves to jump head-on, is pure nonsense. Unless the wolf is out of his mind, he will jump head-on with the hunter. Isn't it good to be alive?
"After listening to the speeches of the first four players, I don't know what you think, but I personally think that the speech of player No. 12 is the best."

"First, he analyzed why the play method proposed by player No. 9 didn't work. It wasn't because of any logical problems, but because it was too difficult to implement in practice, and the gains would not outweigh the losses."

"But he didn't take advantage of the situation and say that player No. 9 is a wolf. Instead, he thought that player No. 9 is most likely a good guy. Once he said this, I felt that he couldn't hold up the wolf card."

"Secondly, his definition of the identities of people 9, 10, and 11 was so good that it really touched my heart."

"If player 12 is a wolf in this game, I think the good guys lose. Who can beat him?"

"Finally, Player 12 will talk to the mathematician. If an inequality is verified, then jump out. If there is no inequality, then it is best not to jump out. I thought about it and it made sense."

"If Player 12's hole card was Wolf, he probably wouldn't have talked to the mathematician like this."

"Combining all the above reasons, I say that Player 12 is a good person. I can't see why he is a wolf. His speech, logic and perspective are all flawless."

Player No. 1 used a lot of logic to acknowledge Player No. 12 who had just spoken.

The reason sounds very sufficient, 12 really doesn't look like a wolf.

In fact, it’s not just 1. The good people in the external position also recognized 12. His speech was indeed good, there is no doubt about that.

If the hole card of player No. 12 is Wolf, then the Wolf Team is already invincible.

But then again, Player No. 12 has done such a good job of identifying himself, but he has never been stabbed, which would make people suspicious.

"Player No. 9's first speech was not a slack one. It can be heard that he is trying hard to find a wolf. Although the method he mentioned is a bit ill-considered, as 12 said, a wolf probably wouldn't have such a strange idea."

"So, I also think that Player 9 is a good person. At least it won't happen to him today. It depends on his words and actions in the future."

"I think one of the 10th and 11th players will be a wolf. Let's put aside the logic of their words, and the positional knowledge will kill them both."

"If we are 1, 9, 10, 11, and 12 and no wolves show up, then we are the good guys in the fifth company. The possibility of this is too low."

"Although it's a little hard to learn the position, this is how deep push games work. Should I trust the five good guys and go to the outside position to find four wolves, or should I open a wolf between 10 and 11? I think most players will make the same choice as me."

"As for who has a bigger gangster side, No. 10 or No. 11, I think they are about the same. No. 12 said that No. 10 has the lowest status, but I think No. 10 is slightly better than No. 11. At least he didn't hit No. 9 and recognized him."

"As for player No. 11, he is quite hostile to player No. 9, saying that player No. 9 might be the wolf who is leading the pace. I totally disagree with this statement."

"In a board like this, the wolves just need to stay alive. There's no need to make themselves the focus. If the rhythm is good, the people will lead the way. They don't need to worry about it at all."

"11 can point to player No. 9, who might be a wolf. His identity is not very good in my opinion."

Player 10 and Player 11 still have some differences in the definition of the identities of 1 and 12.

12觉得10的身份最差，11要稍微好一些，但1正好相反，他认为10的身份比11好，并且笃定10、11当中有狼。

"Police badge, I won't be polite. Today I will lead the team to return the votes, but if I make a mistake, don't blame me. In this kind of deep push game, no one can guarantee that they will definitely get the right wolf."

"My goal is what player No. 9 said, try not to attribute the votes to the God Card, and on that basis, push for the Wolf."

"Alright, that's all I want to say, police. That's it, over." [Player No. 2, please speak]

"Yes, I completely agree with Player 1. The wolf will definitely appear in 10 or 11."

"If they are not wolves, then they are not the good guys of the Fifth Company, but the good guys of the Sixth Company, because I am not a wolf."

"In fact, both 10 and 11 have some flaws or things that are not done well, but in different ways."

"After hearing about 10's new style of play, player 9 actually praised it highly. I don't understand. It's fine if 9 is just going crazy, but he's also going crazy with him. After hearing what they said, I'm afraid the Wanderer must be so happy that he's going to die."

"Instead of pointing out the problem with player No. 9, he seemed to be following the crowd and setting the pace. This is where player No. 10 is like a wolf."

"The problem with player 11 is that player 9 is a wolf. Although I dare not say that player 9 is definitely a good person, based on the current situation, it is unlikely that player 9 will fall into the wolf's pit if we close our eyes."

"His definition of 9's identity was wrong, and his bandit side suddenly emerged."

"If I have to say who is the wolf between the two of them, I think it is player 11, because 11 is more murderous. He has played both 9 and 10, as if he is looking for a position to resist the push."

"But player No. 10 is different. He recognized No. 9, which is equivalent to compressing the living space for himself and his wolf teammates. This behavior is not like that of a wolf."

Player No. 2 is very hostile to 10 and 11 because he has already recognized 9 and 12. Player No. 1 is a hunter. In this case, if 10 and 11 do not appear as wolves, he will have to play six consecutive good guys.

Six consecutive good guys, what a concept. It’s no exaggeration to say that you may not encounter such a situation even if you play a hundred games.

Therefore, player No. 2 is more certain than player No. 1 that there is a wolf among 10 and 11, and he talked about the ways in which these two people are like wolves. Overall, it is still relatively objective.

“1号玩家认为10、11当中开狼，12号玩家也认为10、11不太可能都是好人，我更觉得10、11有问题，那我们今天就在他们当中上票吧。”

"Police officers are under 10 or 11 to take photos of their identities. If they are all civilians, they will compete for speeches. If someone brings an identity card, the other one will eat resistance."

"That's what I think of the Mathematician card."

"When the Trickster Wolf uses his abilities at night, will he turn good people into wolves, or will he turn wolves into good people to interfere with the results of the mathematicians' verification?"

"I think most people who use the Wraith Wolf will choose the latter, turning their wolf teammates into good guys, so that the mathematician will be less likely to verify the inequality."

"And after the mathematicians have verified the equation, they basically won't say that the equation is a pair of wolves, but will say that it is a pair of good guys, right?"

"Anyway, I think it's the wisest choice for the Wicked Wolf to use his skills on his wolf teammates and turn them into good guys."

"Unless a mathematician verifies two wolves at the same time, in which case he will end up with an inequality. Otherwise, the probability of a mathematician verifying an inequality is quite low."

"As long as the mathematician cannot prove the inequality, he can forget about having a shield and using his skills to find the wolf."

"This is in the case that no wolf is eliminated. If a wolf is eliminated on the first day, and the wolf turns another teammate into a good guy at night, where can the mathematician verify the inequality? It is difficult to verify it."

"I just want to tell the good people that if mathematicians verify the inequality, there is no doubt that there must be a wolf involved. It is almost impossible that there are two good people and one of them was used by the trickster wolf."

"On the other hand, if the mathematicians find an equation, we should be more careful, because there might be wolves in it."

Listening to Player 2's speech, all the good guys on the field fell into deep thought.

According to 2, the Wolverine will most likely change the camp of its wolf teammates and try its best to become a Wolverine, rather than changing the good guys to the werewolf camp and resisting a good guy.

In short, as long as the mathematicians check the inequality, there is basically no doubt that the good guys are there. There must be wolves among them. There won't be two good guys. The weird wolf is in no mood to bring good guys into the wolf team.

On the contrary, it is an equation verified by mathematicians. A good person does not necessarily say that there must be a wolf in it, but he does need to be careful. After all, it is better to be safe than sorry.

If the skills of the Wraith Wolf and the Mathematician don't collide once, what about twice? Or even three times? There will always be a time when they collide. The more times, the greater the probability.

Since Player No. 2 was able to bring this up, his status immediately rose.

In the first half, his chat was very ordinary, without any highlights. He started the wolf between 10 and 11, and he had to come out between these two people, and it was more like he was setting the pace and looking for a position to resist the push.

But as soon as the second half of the speech came out, the status of Player 2 rose sharply. After all, he provided a new idea for the good guys.

"There is only one player No. 6 under the police, so there is no need to discuss whether he is a Wraith Wolf. Not to mention that he is going against the grain, and it is a bit unpleasant to have a Wraith Wolf stay under the police."

"In fact, not only do I not want to consider that Pan 6 is a strange wolf, I don't even want to consider that he is a little wolf. I will directly consider Pan 6 wolves to be police officers. Unless Pan 's speech is particularly bad, otherwise, I will recognize him."

"And I think those who want to attack player 6 as a possible wolf are just trying to stir up trouble. Whoever doubts player 6 will fall into my wolf trap."

"Okay, that's all I want to say, police officer. I'm a good guy, and I hope you can all recognize me. That's it, over."

[Player No. 3 please speak]

"After listening to Player 2's speech, I already have a rough outline of my wolf pit."

"Because I recognized him. His speech earlier was quite standard, nothing special. I couldn't tell if he was a good guy or a wolf."

"But when he finished talking about what to believe and what to doubt about the information verified by mathematicians, I felt that he was not able to hold up the wolf card."

"Because I just thought about it seriously, Player 2's logic is correct. It would be better for the Wolverine to be a Wolverine, and let the good guys use their skills to turn into wolves. At most, it will buy a round for the Wolf Team."

"Relatively speaking, the Wicked Wolf does use skills on his wolf teammates and push them into the good team."

"Since Player 2 was able to bring this up, I should recognize him for now. As for the rest of his comments, they can be ignored."

Player No. 3 stood up and acknowledged No. 2 for one reason only, that is, he believed that No. 2 could talk out what mathematicians could trust and what could not be trusted, and the reasons why.

This is the thinking and logic that a good person should have. No one talked about it before, but Player No. 2 was the first to talk about it, so his identity is well-prepared.

"Player No. 1 is a hunter. I won't say much about this. His jumping out not only ensures that the badge is in the hands of good people, but also sets up a pit and reduces the living space of the wolf team. I think it's pretty good."

"Some people think that we should not jump any god cards and just rely on speech. I think that's not good. If we can't even confirm that the sheriff is a good person, we're probably halfway to losing the game."

"So, the mentality and thoughts of player No. 9 are well prepared. After all, he was the first to speak and asked the hunter to jump out. If he doesn't have a magic card, he won't jump out. If he jumps out, he will get hit by a knife or something."

"As for the play method mentioned by player No. 9, I can only say that each has its pros and cons. He is right in saying that we cannot prevent the spooky wolf from delivering messages even if we are on guard against it. There is no such thing as guarding against thieves for a thousand days."

"It's a good idea to completely mess up the water on the field so that even the little wolf can't tell who is the Trick Wolf."

"The fact that Player 9 was able to think outside the box and come up with this unconventional approach at least shows that his intentions were good."

"It's a pity that player 11 couldn't even hear this, and even suspected that player 9 was a wolf trying to set the pace. If he really was a wolf, I admire him for blatantly helping the Wraith Wolf to pass on the message. He's awesome."

"11's definition of player No. 9's identity is obviously problematic. He has the biggest black side, at least the biggest black side among all the people who have spoken in the previous position."

"Player No. 10 has done a good job as a player, but whether he is a wolf or not is uncertain. If one of No. 10 and No. 11 is a wolf, it doesn't mean that they must be one wolf and one good guy. They could be two wolves."

"Although player 11 stepped on player 10, if player 10 is a Wraith Wolf, player 11 doesn't know that this is the Big Brother card and wants to use it as a defense. This possibility also exists."

Player No. 3 had a very good impression and hearing of 9. He acknowledged 9 with a firm tone. If nothing unexpected happened, he would probably not point out that 9 was a wolf throughout the game.

However, he is very hostile to player No. 11, because he is suspected of leading the pace and pushing player No. 11 into the wolf's pit.

If he has the mentality of a good person, how could he think that 9 is like a wolf? His perspective and mentality are wrong, which means that 11 is most likely a wolf.

As for player No. 10, 3 means to be determined. In his opinion, 10 could be a wolf or a good person. Theoretically, it is not ruled out that 10 and 11 are two wolves.

前置位的人都说10、11当中出狼，并没有强调10、11也能做成双狼，这就很容易让人下意识的觉得10、11是一狼一好人，他必须要把这一点拎出来强调一下。

"Player 12's speech was undoubtedly very well done. In the first conversation, the mathematician said that if there is an inequality, then jump, and if there is no inequality, then hide. Putting aside other things, this logic alone is enough to regard him as a good person."

"The only thing he talked about that I was not satisfied with was his definition of the identity of player No. 11. He said that the identity of player No. 11 is higher than that of player No. 10, which is definitely not true."

"Both the 1st and 2nd players in the back position brought this up. It seems that everyone has sharp eyes. Even if it is the 12th person who made such a good speech, he will still be singled out if he gives the wrong identity definition."

"There is only player No. 6 under the police. If he is selected, and the fourth wolf is on the police, this wolf pit will be very crowded."

"I'm afraid there will be two or three wolves among the 4th, 5th, 7th and 8th police officers. I will focus on listening to what they say. There's nothing I can do about it. The people in the front positions have good identities."

"Okay, that's all I want to say, police officer. You're a good guy. If nothing unexpected happens today, I'll vote for player number 11. That's it, passed."

(End of this chapter)