Chapter 108: Brain-Burning Puzzle (Part 3)
"Ah! I know."
Suddenly, Su Chen stood up abruptly, threw away the branch in his hand, and shouted excitedly.
"No, I have to verify it again to make sure it is foolproof."
Su Chen was not overwhelmed by joy.
There is only one chance, Su Chen must hold it tightly.
Picking up the peach branch thrown aside, Su Chen carefully checked it several times.
After confirming that his method was foolproof, Su Chen came to the three lions with full confidence.
To be honest, the three lions are not small in size.
At least much larger than the lions on Earth.
It looks like a monster in a fantasy novel.
If Su Chen hadn't confirmed that these three would not eat people, Su Chen really wouldn't have the courage to stand in front of them.
The red lion stood on Su Chen's left, the yellow lion stood in the middle, and the green lion stood on Su Chen's right.
From left to right, they are red lion, yellow lion, and green lion.
Su Chen wanted to distinguish the three lions.
The lion that tells the truth is called the truth lion, the lion that tells a lie is called the lie lion, and the lion that tells both the truth and lies is called the confusion lion.
First of all, for his first question, Su Chen had to identify a lion that was not a confusion lion among the three lions.
Su Chen asked the first question to the yellow lion in the middle: "If I ask you whether the red lion on my left is a confusion lion, will you answer "Awoo"? "
When Su Chen's question fell, the yellow lion shouted "Awoo Awoo" without thinking.
Su Chen now heard the answer and fell into thinking.
The yellow lion in the middle only shouted "Awoo Awoo".
Then Su Chen now needs to judge whether the yellow lion in front of him is a confusion lion.
Because if the lion in the middle is a confusion lion, then no matter what it answers, it is meaningless.
Because the confusion lion can tell the truth or a lie, its answer has no reference significance for him.
But it doesn't matter.
Whether the yellow lion in the middle is a confusion lion or not does not affect his judgment.
Because the yellow lion in the middle is a confused lion, then the two lions on the sides cannot be confused lions.
If the yellow lion in the middle is not a confused lion, and the yellow lion's answer just now is "Awoo Awoo".
Then Su Chen can conclude that the red lion on his left hand must not be a confused lion.
So how did Su Chen determine that the red lion on his left hand must not be a confused lion?
In fact, the reason is complicated and not complicated.
The secret is actually hidden in Su Chen's question.
Because Su Chen can't determine the specific meaning of "Awoo" and "Awoo Awoo" which represents "yes" and which represents "no".
Su Chen simply jumped out of this thinking circle.
Just think of a universal question to ask the lion, so that no matter which answer the lion gives, it will be useful to you.
First of all, this universal question must include both "Awoo" and "Awoo Awoo", so that you can avoid the trouble caused by not knowing the meaning of "Awoo" and "Awoo Awoo".
Secondly, add a hypothetical condition before each question.
Because after adding a hypothetical condition, it doesn't matter even if the other party is lying.
The question Su Chen asked before was, if I ask you whether the red lion on my left is a confused lion, will you answer "Awoo"?
This is actually a universal question.
Let's make an assumption.
Change the way of asking.
Ask!
If I ask you whether 1+1 equals 2, will you answer "Awoo"?
The first case.
If the meaning of "Awoo" corresponds to "yes", "Awoo Awoo" corresponds to "no".
If this question is asked to the truth lion, then the truth lion will definitely answer "Awoo".
If the question is asked to the lie lion, then the lie lion's answer must be "no", that is, "Awoo Awoo". But because the lie lion needs to lie to you, its answer will be the same as the truth lion, and the answer is also "Awoo".
And the second case.
If the meaning of "Awoo" corresponds to "no", "Awoo Awoo" corresponds to "yes".
Then at this time, if you ask the truth lion, "If I ask you, whether 1+1 is equal to 2, will you answer "Awoo"?", the truth lion will still answer "Awoo".
Why has the meaning of "Awoo" changed, but the truth lion's answer has not changed?
Because it involves a double negation.
Translate the sentence "If I ask you, whether 1+1 is equal to 2, will you answer "Awoo"?" to "If I ask you, whether 1+1 is equal to 2, will you answer "No"?",
But 1+1 is indeed equal to 2, and the truth lion can only tell the truth, so its answer is of course negative, and it will give you the answer "No", which is "Awoo".
This is a double negation, two nos, negative and negative equal positive, which cancel each other out, which means that 1+1=2.
Ask the same sentence to the lie lion.
Because the lie lion can only tell lies, 1+1 is not equal to 2 is obviously wrong, and the lie lion should say "Yes", which is "Awoo awoo".
But because it wants to lie to you, it still said "Awoo", which means "no", to deceive you.
Although the truth lion and the lie lion have different motives when answering your questions, the answers they give are the same.
And through the above two situations, Su Chen also knows that as long as the question he assumes is correct, the answer of the truth lion and the lie lion can only be "Awoo".
Similarly, if the question he assumes is wrong, the answer of the truth lion and the lie lion must be "Awoo Awoo".
In this way, Su Chen can perfectly avoid the true meaning of the two answers "Awoo" and "Awoo Awoo" through this question.
Then, after sorting out the ideas of the universal question above, Su Chen can make a good judgment.
Now, I, Su Chen, have learned from the answer of the yellow lion in the middle that our assumption is wrong.
So the red lion on the left cannot be the confused lion.
Then Su Chen can ask the second question to this red lion to judge whether this red lion is the truth lion or the lie lion.
Su Chen asked, "If I ask you if you are a lion of lies, will you answer "Awoo"?"
The red lion also said "Awoo awoo" without thinking.
"Very good!"
Su Chen nodded with satisfaction. Now Su Chen can be sure that this red lion is the lion of truth.