Datang: I am the prince of salted fish, I impeach Li Er at the beginning

Chapter 91 The Islander Problem That Doesn't Meet Intuitive Instinct
"Really? Then I'll take a look."

Cui Zhiwen saw that Li Zhi didn't seem to be being mysterious, so he concentrated on reading the question.

There are fifty islanders living on a small island, and they live a life without contention with the world.

Forty-five of them had red eyes, while the remaining five had blue eyes.

And there is a rule on the island, once these people know the color of their eyes, they must kill themselves in the square in the island at noon on the second day.

One day, a scholar accidentally broke into this island.

Before leaving, he said a word: "Your eyes are so beautiful, there are people with blue eyes, and there are people with red eyes."

Question [-]: If the number of days the scholar left the island is counted as the zeroth day, on what day will everyone die?

Question [-]: If you also walked into this island unintentionally, how can you break this mortal ending?

At first glance, this question seems absurd.

Fifty islanders have lived on this island for such a long time, and they have always lived well.

Just because someone else said something indiscriminately, they are going to commit suicide collectively?

This is obviously not in line with human instinct.

Therefore, after Cui Zhiwen took a cursory glance, he instinctively felt that Li Zhi was joking.

He felt that Li Zhi was fooling him with something specious, and this His Highness often did such mysterious things.

However, after Cui Zhiwen carefully observed all the conditions, he found a problem!
People on the island do commit suicide, and they all die!

This is a dead end!

Cui Zhiwen thought for a long time, and he began to try to answer the first question.

"According to the rules of the island, if I am a person with blue eyes."

"Then on the fourth day, if I see that the other four blue-eyed islanders did not commit suicide, then I will choose to commit suicide on the fifth day!"

"After that, the red-eyed islanders confirmed that there were five people with blue eyes in total, so he must have red eyes."

"So, the correct answer is that on the sixth day, all islanders will choose to commit suicide!"

"Five people died on the fifth day, and all died on the sixth day!"

After Cui Zhiwen finished speaking, he looked at Li Zhi with questioning eyes, and said hesitantly, "This should be the correct answer, right?"

"Yes!" Li Zhi approved Cui Zhiwen's answer and said, "This is the answer to the first question."

After all, he immediately asked a question: "If the conditions are changed, if there are nine islanders with blue eyes and 41 islanders with red eyes, what is the answer to the first question?"

Cui Zhiwen replied without thinking: "Nine people died on the ninth day, and none died on the tenth day!"

This time, Li Zhi didn't say whether Cui Zhiwen's answer was right or wrong, but said directly: "Tell me about your thinking, tell me what you think, and tell me how you got this answer."

The answer to this question is not important, what is important is the process and the way of thinking about solving the problem.

Only by clearly analyzing this process can we understand what the chain of suspicion is.

When Cui Zhiwen heard what Li Zhi said, he fell silent.

It is actually not difficult to solve this question, as long as you follow your instinct all the way, you will find the answer.

But the question is, how did he get this answer?

Cui Zhiwen thought for a long time, and spoke slowly while preparing his words.

"I assumed that I was one of the blue-eyed people, and I got the result based on the reactions of others."

Li Zhi raised his chin, and said boredly: "Continue."

Cui Zhiwen spoke very slowly: "The first day is not important. In my eyes, there are four blue-eyed people, so the key point is...the fourth..."

After hesitating for a long time, Cui Zhiwen changed the subject and said in a positive tone, "No, the key point is the third day, not the fourth day!"

After all, he felt something was wrong again, and immediately changed his wording: "No! The third day is also wrong, the key time lies in the second day!"

After finishing speaking, Cui Zhiwen's eyes revealed a trace of confusion. He looked at Li Zhi and said tentatively, "The second day seems to be wrong too. The critical time seems to be the first day?"

Cui Zhiwen was very puzzled.

For the first time, he felt that the fourth day was important because he had already assumed that there were five people with blue eyes.

But when he put himself into the role of the fifth person, he found that this assumption was wrong.

Because in his eyes, there are four blue-eyed people in total, and he doesn't know if he is a blue-eyed person.

In other words, if he is not a blue-eyed person himself, then the critical time node will become the third day.

Because if he were not a blue-eyed person, he would become a red-eyed person.

In other words, there are only three blue-eyed people that can be seen in the eyes of the remaining four blue-eyed people.

Then here comes the problem, in this case, Cui Zhiwen followed his instinct and brought it into another blue-eyed person.

Then, he discovered that this time point was staggered again, and it had to be done one day earlier.

Then he followed this cycle again and made another hypothesis.

Then, he found that the critical time point became the next day.

By analogy, after overturning his assumption again, he found that the key node became the first day.

This made Cui Zhiwen puzzled, why did this result appear after analyzing and analyzing?

Li Zhi saw Cui Zhiwen's confusion, and explained: "The whole logic is an invisible chain. If you ignore the results of the first day, loopholes will naturally appear. You have to regard the whole logic chain as a whole. OK, you can't take it apart to see."

Cui Zhiwen seemed to have realized something, and nodded thoughtfully: "So, this matter must be deduced from the first day, and no day can be skipped, otherwise the chain will be broken."

"Yes, that's what it means!" Li Zhi gave an affirmative answer, and then said: "Now, you can re-deduce."

Hearing this, Cui Zhiwen didn't waste any time and immediately started the deduction.

"It's just a hypothesis at the beginning, I'm one of the blue eyes."

"The first day has passed, and no one died. This is an inevitable result, but I can't ignore this process!"

Speaking of this, Cui Zhiwen looked at Li Zhi with questioning eyes, saw him nodding slightly, and then continued talking.

"Now, the next day has passed, and no one has died. This is an inevitable result, but I must pay attention to it now!"

At this time, Li Zhi suddenly interrupted and asked, "Why?"

Cui Zhiwen replied without thinking: "Because, if I am a red-eyed person, then in the eyes of other blue-eyed people, the result will appear tomorrow!"

Hearing this answer, Li Zhi laughed: "Yes! Because on this day, in addition to the chain of logic, the chain of suspicion also appeared!"

(End of this chapter)