Chapter 190 Solution - Saturation Solution
Chapter 190 Solution - Saturation Solution
Chapter 200 Solution Section - Saturation Solution
"People often try to find shortcuts when they encounter difficulties, which is actually a kind of thinking misconception."
Hugo cleared his throat and addressed the three girls present—
"First, we should consider the possibility of cracking the dealing pattern of Double Dragon Poker head-on. Although Vio's theory using the clock face algorithm has flaws, it doesn't mean that other mathematicians and gamblers can't find a smarter way."
"You mean you found a card-counting theory that's even more powerful than Vio's, and used it to defeat Vio head-on?" The client looked like he couldn't believe it.
“If a foolproof calculation truly existed, its master would naturally know all the cards face down on the table—a very boring answer, but such a possibility does exist,” the detective replied.
"Professor Fischer spent at least two months on the Royal United, and I don't think it would take that top mathematician so much time to decipher a 30-year-old paper. Combining the wisdom of a mathematical genius and a gambling king, they might actually be able to write the dream formula to crack the ultimate mystery of playing cards."
"Well, maybe he's just loafing around on the gambling ship?"
Naz recalled the first time she saw Fischer in the casino lobby. The old man mingled among a large group of drunken gamblers, chatting and squandering chips like any other customer. He didn't look like someone who was tackling a difficult mathematical problem at all...
However, according to updated intelligence, many of those "ordinary guests" appear to be surveillance agents from the business alliance. They were accomplices in Blueberry's scam, yet they mingled so warmly with Fischer. Could it be that they had already acquired a superior card-counting theory and were testing it in actual games?
No, no, no, there's no need to drink alcohol for testing experiments... Sabrina shook her long, dark blue hair violently, denying her wavering stance—
"That's it!" Naza found compelling evidence for herself: the testimony of someone involved in the incident—
"During the casual conversation before the roulette game began, Fischer said that according to the Double Dragon poker rules agreed upon by Lanju and Vio, no matter how sophisticated the calculation theory, it was impossible to lock in the outcome of a round of the game with 100% certainty, let alone perfectly manipulate the game. In addition, he praised Vio to his face, saying that although he ultimately lost the game, the theory he relied on was the closest to a perfect prediction algorithm."
However, as if he didn't need time to think, the detective immediately retorted—
“Fischers may have lied on purpose. If he and Blueberry really developed an algorithm that could suppress Vio, they would certainly not reveal the truth to outsiders for the sake of their long-term interests.”
Undeniable...
If the professor were here, he might be able to provide more evidence to refute the detective's suspicions—but right now, all that's in the Feather Residence is Natsumi, an observer with only a superficial understanding of the gambling game and its techniques.
“However, Hugo.” Seeing the client’s predicament, Azure offered yet another counter-argument—
"Calculating the hand must require very advanced mathematical skills. After all, King Lantau is not a professional mathematician. Even if he had mastered the relevant theories, he could not make a judgment as quickly as Vio."
"When reasoning, one should avoid preconceived stereotypes, Azure. I do not believe that a skilled gambler's calculation ability is inferior to that of a mathematician. Moreover, even if your view is reasonable, you lack actual evidence to prove the counter-argument."
Hugo's rebuttal left the assistant speechless.
The existing evidence is insufficient—so much so that even such seemingly absurd reasoning cannot be refuted.
"The second guess is that Blueberry used some kind of method to achieve genuine cheating."
Seeing everyone fall into an awkward silence, the detective finally handed out the second answer sheet with satisfaction—
"Due to the presence of comprehensive surveillance and the glass enclosure, two methods of cheating can be ruled out—stealing chips and switching cards. If Lan Tachibana were to use either of these methods, she would be discovered instantly by Team Plasma."
“Physical tricks leave behind traces of cheating that cannot be concealed, which is also dangerous for business alliances that invest in bilberries.”
Azure tried to redeem herself for her earlier slip of the tongue, speaking before the detective could.
"That's right. In a game of cards, Team Plasma will always be keeping an eye on the amount of chips held by both sides, so such obvious cheating is impossible. A skilled cheater can switch cards in the blink of an eye, but Double Dragon Poker is not a game that requires repeated play, and Vio, who has excellent card counting skills, would not allow such a situation to happen. Therefore, no matter how powerful Chow Tachibana is, he will not find an opportunity to perform card magic to steal the day."
"These are truly hellish conditions," Naz sighed.
"Really? I think the conditions are as lenient as paradise."
The detective shrugged.
"First, Lantana can manipulate the referee in the gambling game. He can have his subordinates infiltrate Team Plasma pretend to be clumsy and inept at gambling, thus leading Vio into a trap of reverse thinking. The Team Plasma member who is promoted to dealer, while pretending to be clumsy, is actually manipulating the flow of every card on the table. He carefully manipulates the outcome of each round of gambling according to the rules agreed upon with Lantana. In this way, Lantana will naturally know when to go all in and when to withdraw decisively."
"Oh, so it's teamwork between undercover agents."
As the topic turned to familiar territory, Douzi shook his head and commented, "If this kind of plot appears repeatedly in movies, it will make the audience feel a bit tired of it, as if there aren't many truly bad people in the villainous organization."
The assistant chimed in, "Besides, Vio should be a pretty smart guy. He wouldn't stoop so low as to hire a mole to infiltrate him in a life-or-death gamble like this."
“I guess so,” the detective said noncommittally, “but we can’t rule out that possibility.”
Here we go again… Naz, her head aching, propped her cheek up with her hand. She finally understood what the detective meant when he said “miracles of this magnitude are easy.”
Generally speaking, the person making the inference must present sufficiently detailed evidence to support their conclusion. But nowadays, detectives and clients often lack any evidence, leaving the inference to remain mere speculation, and the truth to stand ambiguously between falsehood and reality.
Conversely, the detective in front of us is indeed using a reliable reasoning method—since the conditions are insufficient and the conclusion of the reasoning cannot converge, we might as well list all the possibilities one by one. Once all the possibilities have been analyzed, the real answer must lie among the listed conjectures.
Over-reasoning—the "saturated solution" of "better safe than sorry," a barrage of guesses.
"Besides turning the dealers against Vio, there are other ways to fool him."
Hugo's voice rang out once again.
"One method is to use off-table assistance to find out the suit and rank of the cards dealt to the table before the cards are revealed."
"Off-field assistance?" Naz asked, somewhat surprised.
"But it's an airtight glass room, thoroughly inspected by Vio both inside and out. There's no way it could have any connection to the outside world. Given its special location on the top floor of the casino, even if I tried to use my superpowers for telepathy, it would just be intermittent static, unable to transmit even a clear word, let alone manipulate the game. Besides, how would the assistants outside the game know the information from the face-down cards?"
"It was precisely because it was a one-way reflective glass chamber that a certain trick was able to be carried out."
The detective cupped his hands into a pyramid shape, looking like a wise sage like Vio who had the upper hand in a gambling game.
"In the mirrored chamber, the two duelists, wary of each other, concealed their cards. The dealer, even more cautious, carefully placed the deck on the table, dealing with unwavering focus, fearing that a mistake would reveal the community cards and void the round. In the live broadcast, the spectators in the casino hall shared the same perspective as the duelists, unable to discern the card values hidden in the darkness—but wasn't the elaborate design of the gambling room a deliberate attempt to conceal some hidden secret?"
"what do you mean?"
Naz instinctively realized that the trick the detective was now telling was completely different from the previous outlandish reasoning—this solution had a chilling feasibility.
"What do you do when you want to hide the cards in your hand so that the person in front of you can't see them?"
Hugo shook the business card holder he had somehow gotten back into his hand, tapped it lightly with his knuckles, and two business cards from his firm popped out.
"Miss Naz, imagine you are in Vio's position. When the dealer has just dealt you two hole cards and you want to check your score, what would you do?"
The detective, acting like a real dealer, placed two business cards on the table like frisbees and presented them to Natsume.
The proprietress hesitated for a moment, recalling the usual practices of patrons in casinos, and then imitated them verbatim—
First, cover the business card with both hands, carefully move it in front of you, then transfer the paper from the table to between your palms, making your palms and shoulders form an impenetrable fortress, and only peek at a corner of the business card by the reflection of light shining on your palms.
"Not bad, the motion simulation is incredibly lifelike. If I were your opponent at the gambling table, I would never be able to peek at your cards."
The detective offered praise that was anything but pleasant, then predictably changed the subject—
"But this is only airtight to your opponent. If someone stands behind you and observes carefully from the top left corner, they can still see your cards. In fact, as long as you try to examine the cards in your hand with your eyes, you will always leave enough gaps for others to peek."
Naz performed the action again, this time calling Blue to check behind her. Sure enough, they found a gap large enough to see the contents of the business card.
"Light travels in straight lines and is everywhere. Wherever the eye can see, there will naturally be other rays of light that transmit information to the outside world. This is why Blueberry went to great lengths to create a one-way transparent room."
Looking at Azure, who had sat back down on the sofa, Hugo began to explain—
"When inside the gambling room, the mirrors around the room give participants a sense of security. This makes Vio subconsciously believe that as long as he avoids the gaze of Blueberry and the reflections on the walls, the information of his hole cards will be safe and secure—however, this is a false sense of security, because the secret room that reflects the interior is actually completely transparent from the outside. Blueberry's accomplices can simply set up high-precision telescopes in various corners of the casino to peek at the contents of Vio's hole cards while he is reading his hand."
Don't underestimate the power of telescopes—humans can use astronomical telescopes to observe faint planets five thousand light-years away; with proper preparation, it's not too difficult to see one or two numbers tens of meters away, with the cover of your hands and shoulders.
"Even so, how will Yueju's accomplices pass the information to Yueju?"
Naz asked again, saying that the idea of off-site surveillance was indeed feasible, but the ones participating in the gambling were not the accomplices behind the binoculars, but rather the raccoon under heavy surveillance.
Before entering the tenth-floor gambling room, he and Vio both underwent full-body metal detection, making it impossible for them to be carrying any communication devices.
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