God's imitator
Chapter 472 Chained Loops and Skip Chains
Chapter 472 Chained Loops and Skip Chains
Many players have seen the match between "↓Emperor" and "↑Demon".
However, most players cannot explain why the '↑Demon' would execute that strategy.
Lin Sizhi did not elaborate on this issue, nor did she analyze the strategies and behaviors of the '↑Demon'.
He looked again at the 22 wooden boxes on the table: "So now the question left for me is..."
"Which level would you consider, and which strategy would you adopt?"
Han Mengying remained silent, not uttering a single word.
Lin Sizhi reached for the wooden box, but then paused and casually asked, "I want to ask you a simple question."
"If I win this game, regardless of the strategy I use... do you think it's more due to skill or luck?"
Han Mengying considered for a moment and said, "...strength."
"No matter what, as long as you can beat me in this game, I will consider it a complete test of skill, without any element of luck."
Lin Sizhi nodded, clearly having made his decision: "We'll play by your rules. My chosen number is 10."
He began to open the wooden boxes quickly, but deliberately avoided the number 10 wooden box "Wheel of Fortune" and randomly chose the number 2 wooden box "Priestess".
There are 6 wealth coupons with a face value of 100 inside.
Lin Sizhi didn't choose box number 6 again, but randomly opened box number 9, "The Hermit." This time, there were five wealth coupons with a face value of 100.
In this way, Lin Sizhi opened five wooden boxes, but each time she deliberately did not choose the box number corresponding to the 100-yuan wealth coupon in the previous box.
The sixth time, Lin Sizhi opened wooden box number 19, and inside were exactly 10 wealth coupons with a face value of 100.
"Looks like I'm lucky."
Wearing the '↑Lover' mask, Han Mengying appeared somewhat stiff. Clearly, this was an unexpected situation for her, and she felt immense pressure as a result.
Under these rules, the first attempt is the one with the highest probability of failure for the 'thief'.
On the second attempt, since seven wooden boxes had already been opened and the contents of the wealth vouchers were known, the probability of success would be much higher than the first time, regardless of the strategy employed.
The 'Thief' finding the number he chose on his first try is the worst-case scenario for the 'Sage'.
But Han Mengying clearly doesn't intend to give up, because she still has a chance to win, even though that chance has been greatly reduced.
According to the rules, it was her turn to give a number.
Han Mengying remained silent for a long time before saying, "7."
This is a number that has never appeared before.
As before, Lin Sizhi deliberately avoided the already opened wooden boxes and the No. 7 wooden box, and searched among the remaining wooden boxes.
The next wooden box opened was deliberately chosen to avoid the box number corresponding to the 100 wealth coupons inside.
Finally, on her third attempt, Lin Sizhi opened wooden box number 3, which contained exactly seven wealth vouchers worth 100 each.
It's even simpler than last time.
Success on both occasions means Lin Sizhi can win all 22 wealth vouchers in the wooden boxes.
Han Mengying stared blankly at the open wooden box on the table, seemingly trying to figure out where the problem had occurred.
She had previously stated that if Lin Sizhi won this game, she would acknowledge it as 100% skill, without any element of luck. But clearly, it was precisely for this reason that she found this result even more difficult to accept.
Lin Sizhi showed no emotional fluctuation and said indifferently, "If you want to know, I can tell you the specific strategy."
"But you have to listen carefully, because time is running out, and I'll be speaking very quickly."
Han Mengying silently looked up, waiting for Lin Sizhi's explanation.
Logically speaking, explaining game strategies to the other party is not Lin Sizhi's style. Previously in "The Kingdom of Tycoons", Lin Sizhi did not answer Han Mengying's questions.
But this time, things seem to be different.
……
Lin Sizhi explained, "This matter has to start with the match between '↑Demon' and '↓Emperor'."
"The strategy I employed was the same as that of '↑Demon'."
"Jump chain".
"That is, to actively break free from the digital chain."
In the previous match, '↑Demon' initially chose the number 15, but on the first attempt, he deliberately avoided the wooden box 'Demon' with the number 15 and did not open it at all.
This is something that all the players who watched the match remember very clearly, but most of them didn't understand it.
Lin Sizhi continued, "The interesting thing about the game 'Digital Prisoners' is that the real game with the 'Sage' only begins after the 'Thief' has truly figured out the '100 Prisoners Problem' and the 'Chain Strategy'."
"Because the original '100 Prisoners Problem' was calculated based on the premise of 'randomly placing numbered slips of paper'."
"The reason why the prisoners' strategy, namely the 'chain-loop strategy,' works is entirely based on 'randomness.'"
"But if the warden anticipates the prisoners' strategies and artificially alters the placement of these numbered slips of paper, the situation will be completely different."
"Through certain methods, it is even possible to make the 'chain strategy' inevitably fail."
"The strategy is simple: deliberately create one or more chain loops that are "more than a certain number of times," which is the "evil warden problem."
"After the 'evil warden' learned that the prisoners were going to use the 'chain loop' strategy, he deliberately made these numbers cycle more than 50 times. Then all the prisoners who followed this strategy would only face death. It would be better to find them randomly."
"For example, the number in box 1 is 3, the number in box 3 is 7, the number in box 7 is 12... This cycle continues until the 51st time, when the number finally returns to 1."
"In this way, all prisoners who implement the 'chain loop' strategy can only find the slip of paper with their number on the 51st time, and they all only have 50 chances."
"In other words, they are doomed to die."
"In this game, if the evil warden deliberately makes the number chain in the wooden box more than 7, then the 'thief' will inevitably lose when executing the 'chain loop strategy'."
“The ‘demon’ had thought of this.”
Lin Sizhi paused slightly before continuing:
"On the surface, '↑Demon' chose the number 15 but did not choose to start with 'Wooden Box No. 15,' which is somewhat like the behavior of a player who has no idea about the '100 Prisoners Problem' or the 'chain loop strategy.'"
"But this does not match his true strength."
"It is obvious that he knew about the 'chain loop strategy' but deliberately did not use it."
(End of this chapter)
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