Chapter 7: Cycles

In the square, Su Lin asked everyone to make room for him, and he used an iron badge to write and draw on the ground, explaining to everyone.

"Therefore, if we want to clear all the customs, we must change our thinking, unite and use the same set of unpacking schemes."

Speaking of this, Su Lin looked up at the prisoners present, "Let me ask first, there is no offense, but I want to know if your eldest brother is illiterate?" ”

No one stood up, Su Lin smiled, "That's good, we can continue." ”

He can summarize the optimal solution to the game and make everyone understand how to beat the level, but he doesn't have time to teach the death row inmates how to count.

Sure enough, there is no mortal nature in the tasks given by the mountain and sea games, otherwise if there are fifty illiterate people here, and a few of them are mentally retarded, then he is really blind.

He had already drawn a pattern on the ground, a total of ninety-six squares representing chests, in eight rows of twelve columns, and numbered 1 to 96 on them.

"In order to make it easier for everyone to understand, I simply numbered the boxes, in fact, it doesn't matter whether the boxes are numbered or not, if not, everyone just needs to number them in the room in order from left to right."

Su Lin continued: "My plan is like this, after each of us enters the room, we start from the box represented by our own number. ”

As he spoke, he put his sign on the pattern of box No. 39 on the ground, "Suppose I have a lot of luck and open No. 39 directly, and I will naturally pass, if not, let's say...... Well, I opened an 8. ”

He pointed to the number on Xiao Gang's chest, "Then I can help Brother Xiao take it out, so that Brother Xiao can pass it." ”

The atmosphere at the scene became strange, and some people looked at Su Lin with dangerous eyes.

Su Lin spread his hands, "Just kidding, don't be so nervous, big brothers, since it's a game, you have to relax and have fun." ”

So more strange eyes came, and many death row inmates felt that this white, tender and handsome young man was not mentally normal, this was a game related to his own life and death, how could he relax and play? Still having fun?

Su Lin turned the topic around, turned his sign over again, and put it on box No. 8, "After opening box No. 8, I will go to open box No. 8, assuming that box No. 8 is opened, ......"

He glanced at the badge of the girl who was squatting beside him and listening carefully, "Well, let's just number 76, then we'll go open box number 76, and so on, until we find our number." ”

"What if you don't find it?"

A death row inmate couldn't help but ask.

Su Lin's face was full of lightness, "Then it's a failure, hurry up and restart the next round." ”

The three old strangers present except for Xiao Gang all showed thoughtful applications, obviously not understanding the deep meaning of Su Lin's arrangement of this open-box strategy, but Xiao Gang felt that his head was itchy and he was too lazy to think about it.

"Is there any benefit to looking for this?"

The male college student asked, feeling as if he had grasped something, but he couldn't figure it out for a moment.

Su Lin smiled mysteriously, "Of course there is, theoretically speaking, as long as our number meets certain conditions in the random assignment, then we will definitely be able to find our own number." ”

"Why?"

The mediocre-looking woman asked, this was a matter of her own life, and she had to understand the principle and agree with the feasibility of this plan in order to believe Su Lin.

Su Lin was very familiar, and in the surprised gaze of the girl beside him, he stretched out his hand to her chest, and then grabbed it...... Her badge, "Lend me for use." ”

Then, before the male college student could react, he took his badge again and looked up at Xiao Gang.

Xiao Gang was very conscious, although he didn't know what Su Lin wanted to do, he cooperatively took off the badge and handed it to Su Lin.

Su Lin put Xiao Gang's badge on box No. 8, "Back to the previous simulation, I opened No. 8 in box No. 39, No. 76 on No. 8, and No. 44 on No. 76 ......"

Saying that, he picked up his number again and put it in the No. 44 box, "At this time, I opened my own number in the No. 44 box, and I cleared the customs, interestingly, according to my rules of opening the box, the number in the No. 44 box at this time is pointing to the box where I originally started, have you found anything?" ”

"A cycle has been reached!"

The male college student exclaimed, "I see, the advantage of this is that as long as your number is in the loop, then the number that points to the box you start selecting must be your own number!" ”

Su Lin snapped his fingers, "Bingou." ”

Not to mention the death row inmates, several strangers were still confused, Xiao Gang asked, "Brother Su, what if your number is not in the loop?" ”

Su Lin said with a smile: "Don't worry about this, in this game, if you open the box in the way I said, there is only one possibility that your number is not in the loop, that is, your number is placed in the box with the corresponding number, and you can find it the first time you open the box." ”

He lifted the badge sideways and drew a connecting line between the boxes on the ground, "As long as the first opening of the box is not the number that matches the box, then the number plate in the box will inevitably point to the next box, and the next box will point to the next box, and this line segment will only have one way to end, that is, to return to the original starting point, forming a cycle." ”

"Then if the newly opened box is directly the corresponding number, won't the cycle stop?"

The girl asked timidly.

Su Lin cast a caring look at the other party, "That's impossible, because the reason why you want to open a new box back is because the number corresponding to it has already been opened by you in the previous box." ”

The girl realized that she had asked a stupid question, and blushed and wanted to dig a hole in the ground.

"So...... As long as you select the box corresponding to your own number, open it in this order, your own number must be in the cycle, I understand this, but there are many ways to randomly arrange the ninety-six boxes, and the cycle can be long or short, if you have a limited number of forty-eight unpacking opportunities, you can't get to the end of the cycle, then you can't find your own number? ”

The female stranger asked with a frown.

The words of the female alien are also a question for many people who understand Su Lin's plan in front of him, Su Lin's sequential unboxing plan can only find its own number at the end of the cycle, what if the cycle is too long?

"Boy, you've been talking for a long time, and it sounds like a lot of ideas at first glance, but what kind of winning method is this? Depending on the length of the cycle, there will be a probability of losing, and I feel like I opened half of the boxes randomly, and the success rate is even higher, right? ”

A death row prisoner shouted in the back, pointing out that Su Lin was not a sure way to win at all.

Originally, many death row inmates really thought that this plan was quite clever after understanding the principle of circulation, but after being pointed out at this time, the problem of the length of the cycle was pointed out, and they realized that the number of times they could search was limited, and this was not a sure way to win at all.

After this point was pointed out, many death row inmates became a little impatient again, and for a while various voices came and went.

"It's all quiet! My brother isn't done yet! ”

Xiao Gang shouted, his tall figure and fierce muscles immediately shocked many people.

Su Lin stood up and stretched, because he felt that his legs were a little numb after squatting for a long time, and he unceremoniously put his hand on Xiao Gang's shoulder and helped him, "Brother Xiao still trusts me, my plan is indeed a sure way to win, as long as everyone listens to me, I can go out today, and if I am fast, I may be able to win on the first attempt." ”

He glanced at the death row inmates present, not afraid of the gaze of these murderers, but felt more and more that the mountain and sea game was an interesting place.

"But it seems that if you don't explain it clearly, your big brothers don't seem to be willing to cooperate, so I'll say a few more words."

Su Lin said with a smile, pointing to the pattern on the ground, "In order to avoid being too difficult to understand, I will start with the first grid by analogy. ”

He looked at the male college student with a didactic look, "I ask you, if we want to build a cycle of ninety-six now, ninety-six numbers, and put it in the first square, how many options are there?" ”