Chapter 447
Chapter 447
Here is an example of the rules of this devil game:
If the first person enters, numbered 1, then open 50 of the 100 boxes. If you find 1, you pass the level. If you don't find it, you die.
And you can't restart the next round, which means that the other 99 of the 100 people will be buried with you.
Normally, the probability is the same as what Xu Moran and Pei Youyao said, one-half to the power of one hundred, but this is obviously unrealistic, but if you regard these 100 people as a whole, the probability will increase suddenly.
Wang Ge said calmly: "You correspond to numbers 1-100. The first person who enters will open the gift box No. 1. Whatever number is in the gift box No. 1, open the gift box corresponding to that number until the loop is built and find the box with the number 1 inside it to complete the task."
One person couldn't help but ask: "What if you can't find 50?"
Wang Ge asked back: "Does that mean that the loop where your number is located is greater than 50? That means that all the people corresponding to the numbers in this loop can't find the gift box with their numbers?"
"In this way, you don't have to blame yourself for not finding the number. It's not that you alone have harmed everyone, but that everyone is the same."
The people of the Tiangong tribe and the elf tribe instantly fell into thinking.
It seems that this logic...
The leader of the blood clan also said directly: "Anyway, our lives are in your hands, but I hope you will abide by Chen's promise. We blood clan will only send 250 people in this stage."
"Yes, but I also hope that you will strictly follow what I say."
"Of course."
Wang Ge shrugged: "Then it's settled. Let's select 100 from the 250 fellow clansmen."
Take advantage of this time.
Qiu Anran asked softly: "I understand, as long as the cycle of the box is less than 50, such as 1-4-6-1, then all the people 1, 4, and 6 in the cycle can find their own numbers, and this probability becomes the probability that there is no cycle of more than 50 boxes in these 100 boxes, and this probability should be infinitely close to one-third."
Xiao Xu blinked: "Wait, slow down, what are you talking about?"
Pei Youyao pretended to think for a while, and quickly nodded: "Well, yes, yes, it seems to be the case."
"Almost, that's what I mean, but I don't think this probability problem is the devil's design of this level 's original intention. "
Wang Ge shrugged and continued: "The devil actually just wants to watch us kill 1,000 people with our own hands."
Qiu Anran nodded slightly and said: "I just don't know if the other four teams have thought of the optimal solution to this problem."
"Bai Rou must know, because on the mechanical side, this is a very classic blind box probability, which is used in many fields. I'm not sure about the other three teams."
Xiao Xu paused and said: "Then they..."
Pei Youyao: "Yes, the most likely choice is to kill 1,000 of them."
Instantly, the atmosphere fell into silence.
If it was the devil who did it, it would be acceptable, but if the players had to do it themselves...
"The game can be barely completed, I hope everyone is okay..."
Wang Ge smiled: "Don't think of others as so fragile, I'm only worried about the six people in Courtyard No. 1, no, the four people led by Huang Yating."
"Li Yijin is definitely a decisive person, he will kill when he should, without hesitation."
"On the contrary, it was Huang Yating, especially if there were humans among the 2,000 people they were assigned..."
Qiu Anran: "It's okay, if they die, they die, it has nothing to do with us."
Xiao Xu shook his head and said: "How can you say that, although she is very annoying, we are all Chinese."
Pei Youyao grinned, showing his white teeth: "No matter what they do, we can't even manage it ourselves."
After a long time, the blood clan finally selected the first 100 clan members who went in to "die".
As one after another entered, until all 100 blood clan members entered, a black projection appeared, which contained the numbers in each box and the box numbers selected by each person entering.
Wang Ge glanced at it casually, shook his head and said: "You can prepare the next 100."
"This..."
Wang Ge said lightly: "Are there any questions?"
The leader of the blood clan dared not speak, shook his head and continued to split 100 people from the last 150 people.
Qiu Anran had already understood the model Wang Ge said: "52?"
"Yes, there are only 2 more numbers."
Qiu Anran and Pei Youyao looked at each other, what are they talking about?
"Ahhhh, brother~~”
Qiu Anran couldn't bear to watch it anymore and explained: "There are 4 cycles in total among the 100 numbers, and the largest cycle is 52 numbers, which means that if we follow the captain's method, these 52 people will not be able to complete this task."
"And the remaining three cycles, each of which is less than 50 numbers, and the longest is only 28, which means that the remaining 48 people can find their corresponding numbers. It doesn't matter how many people there are. The result is determined at the moment the number in the gift box is determined. Do you understand?"
Xiao Xu and Pei Youyao looked at each other again, shook their heads in tacit understanding, and said in unison: "I don't understand! "
Qiu Anran almost fainted after a short breath. Sure enough, he shouldn't have explained to this little fool.
Wang Ge smiled helplessly and explained: "Suppose the number in the first gift box is 2, and the number in the second gift box is 3, and so on, then the cycle is to open the first box to see 2, open the second box to see 3, that is, 1-2-3-4...99-100-1, and only see 1 in the 100th box, then this is the cycle of 100 boxes. "
"If a person with a certain number opens the gift box corresponding to his number, he will definitely go through this cycle, that is, 100 gift boxes can find his number. For example, if his number is 60, he needs to open 61 boxes and look down to find the 59th gift box, and the number inside is 60.
"So as long as 100 numbers form multiple cycles, and the number of gift boxes in each cycle is less than or equal to 50, then it can be guaranteed that everyone can find his number within the 50 gift boxes. Therefore, as long as the gift box number is determined, you can know whether you can pass the test."
"Look at the 100 numbers above, don't they just form 4 cycles? The largest cycle is 52 gift boxes."
Xiao Xu's eyes sparkled, and he said in surprise: "Really!"
Pei Youyao touched the back of his head. Did this little fool understand?
Why didn't he understand?
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