Gamers Are Fierce Chapter 91: Ant (Quad K)


"So you made a second circle?"

On the walkie-talkie communication channel, Xing Hechou looked confused, "Nothing happened?"

"No, not a second circle."

Wang Buxing, who was in the same team as him, thought for a moment, and his eyes brightened, "To be precise, looking down from the sky, they walked through a total of seven rooms and circled a tiny 8-shaped symbol.

And, during the detour, the conditions encountered also changed - when they first arrived in the initial room, the candles were automatically lit from the extinguished state, and the back door was automatically opened,

When you arrive at the initial room for the second time, the door on the right,

Or the rear door from the initial angle, which is also open.

But the candle is automatically extinguished,

Explain that after they left the original room again, the candles in the room went out for some reason. "

"Candle go out?"

Xing He frowned and asked, "The change in the grotto also started when the candles in the room went out.

Does this represent something? "

"I don't know yet."

Li Ang said with great interest in the communication channel: "But if I guess correctly, we will soon find out the pattern..."

After that, he threw the walkie-talkie to Hohenheim, pushed open the door behind the initial room, made the ninth move, and walked into the (0, -1) room.

The furnishings in the room have not changed, but the candles were initially extinguished,

After the door is opened, the candle slowly ignites automatically, and the door on the right can be pushed open.

Break the loop?

Li Ang strode into the room. The opening sequence of the room was a 8-shaped symbol, but now a new room has been opened.

He pushed open the door on the right,

Make the tenth move, enter the (-1, -1) room, the candle will change from light to dark, and the door on the left will open.

The eleventh move, enter the (-1, -2) room, the candles turn from light to dark, and the door on the left opens.

The twelfth move, enter the (0, -2) room, the candles turn from light to dark, and the door on the left opens.

Move the thirteenth time, enter the room (0, -1), the candle will change from light to dark, and the door on the left will open.

Fourteen, (-1, -1), the candle becomes dark and bright, and the door on the right is opened.

Fifteen, (-1, 0), the candle is dark and bright, and the door on the right is opened.

Sixteen, (0, -1), the candle becomes darker and brighter, and the door on the right is opened.

Seventeen, (-1, -1), the candles are dimmed, and the door on the left is opened.

....

Lee Ang moves very fast,

At first he would keep trying to push the four doors in each room, and when he got to the back, he seemed to know where he was going,

The shooting star strode into the room without hesitation to the left or right.

The candles in the room either changed from light to dark or from dark to light along the way, and the scene I saw did not change from beginning to end,

To the rest of the team, the atmosphere is depressing and silent.

Tread.

Walking, Li Ang suddenly stopped, and everyone in the back hurriedly stopped moving to avoid collision.

"It's pointless to go on like this."

Li Ang raised his arm, twisted the beard on the dragon head mask, and said, "I already know the next path,

(-1,-2),(-2,-2),(-3,-2),(-3,-1)...

If I'm not wrong, by the rules provided by the grotto, we'll be stuck here for a long time. "

"...Need support?"

On the communication channel, Nebula took a deep breath and asked, "Or should we call Michael?"

"Support? No. We're the only team moving right now, and if you all started moving, it might be the same."

Li Ang said lightly: "Well, in order to verify, in your initial room, choose a random direction, open the door,

Then go through the only door you can go through, moving eight times. "

"Choose any direction?"

Hearing that, Nebula paused for a moment. It was impossible to find out the direction in the mysterious locks of the grotto. The south, south, north and west of each team were disordered. There was no difference between choosing a direction and walking casually.

Therefore, in addition to Li Ang's other group in the fifth team, they chose the direction and made eight moves,

Like Li Ang, they also recorded the travel route in the form of coordinate axes,

And report in the communication channel.

The result of the eight moves is to walk through seven rooms and draw a figure-8 symbol in place.

"It seems that everyone is the same."

Li Ang said lightly: "No matter the orientation you choose at the beginning, front or back, left or right, the final result is the same.

The purpose of the Grotto Mystery Lock is indeed to use the rules to trap us here for a long time. "

He paused and explained on the communication channel: "Have you noticed the pattern of everyone's travel?

The candles in the room are lit and extinguished, and only one of the four doors in the room can be opened. When someone in one room remains in place and does not move, others cannot go to the next room.

These three laws are essentially the same,

It is for us to circle around a fixed area. "

"In a circle?"

Xing Hechou asked: "That's not right, the previous eight moves were to draw a figure 8 on the spot,

If the Grotto Mystery wants us to go around in circles, it is only necessary to limit the death to reciprocating in these seven rooms,

There is no need to open up this new room (-1, -1).

And even the following paths (-1, -2), (-2, -2), (-3, -2), (-3, -1). "

"Have you ever raised a hamster, Lao Xing?"

Li Ang smiled and said indifferently: "Domestic hamsters can survive in a very small space,

But too narrow a space will make the hamster feel depressed and die soon, even running the hamster wheel all day will not help.

Animals in zoos will also suffer from stress diseases because of the narrow living space, too few elements, and lack of social interaction.

Crazy self-harm, such as hunger strikes, crashing into cages, etc.

If you want the creatures in the cage to not feel pain and despair, naturally you have to expand the cage space, and let the creatures mistakenly think that they can walk out.

Of course, it is possible to walk out of the Grotto Mystery Lock, but to really break the cycle, or start another cycle to walk out, I think it will be at step 10055. "

"Step 10055?"

Xing Hechou's heart skipped a beat and said solemnly, "So accurate?"

The reason for his tone change is not only because the number is too large, but also because Li Ang's tone is calm and calm, but also because he knows,

When Li Ang changes back to a frivolous attitude, it means that this guy already knows the answer.

When the other parties in the communication channel heard Li Ang reporting 10055, their eyes lit up, thinking about it, as if they understood something.

"Yes, not 9999, not 10086, not 114514, but 10055."

Li Ang smiled: "(0, 1), (-1, 1), (-1, 0), (0, 0), (0, -1), (1, -1), (1 , 0), (0, 0)...

Every time we move, we can see the state of the candle in the room, which changes as we push the door open,

Either from dark to light, or from light to dark.

When the candle in the room keeps burning at the beginning, when we open the door and walk in, the candle will go out, and the door on the left will open at the same time.

When the candles in the room are kept extinguished at first, when we open the door and walk in, the candles will burn automatically, and the door on the right will open at the same time.

In other words, if the candle is burning at first, turn left,

If the candle is initially extinguished, turn right.

We seem to be moving according to our own will along the way, but in fact we are completely under the restrictions of the rules of the cave,

At first we felt like we were walking symmetrical or repetitive shapes,

But the further we go, the more chaotic and erratic the path becomes - as we walk back into the room we've walked through.

After the nameless wind hit, the candles in all the rooms were extinguished. Our passing caused the candles to light in some rooms, and when they passed again, the candles were extinguished again.

The rule of opening the door according to the state of the candles in the room,

Shows a chaotic random shape.

However, this chaotic randomness is essentially a pseudo-random with dead rules, no matter where our five teams are,

Which direction is selected,

If they do not interfere with each other, they will stop the chaotic pseudo-random at about 10055 steps, and start a cycle with a period of 104 steps.

Move in a fixed direction.

Like... ants. "

Nebula's eyes lit up in the communication channel, and subconsciously blurted out, "Lanton Ant!"

"That's right."

Li Ang smiled and snapped his fingers, "The mysterious lock of the grotto constructed by King Shibi is the cage that binds the Langton ants."

"Lanton what?"

Xing Hechou was stunned for a moment, his brain was running fast, retrieving relevant information.

"Ant."

Li Ang explained casually: "You don't have to look for it in the database, it has nothing to do with Ant King or the extraordinary elements of the killing game.

The Langton ant is a concept proposed by Christopher Langton in the mid-1980s. It is a classic example of cellular automata and belongs to a two-dimensional Turing machine.

The rules are also very simple, draw square grids of the same size on the plane, and fill in black or white to all grids,

In one of the squares, place an ant.

If the ant is in the black grid, turn 90 degrees to the right, enter the next grid, change the grid to white, and move forward one step;

If the ant is in the white square, turn 90 degrees to the left, enter the next square, change the square to black square, and move forward one step;

Just like us, the ants will return to the initial grid on the eighth move,

And after the eighth move, continue to draw chaotic shapes.

Up to about 10,000 steps, start to draw a cycle of 104 steps, moving in a fixed direction, like building a highway, extending infinitely.

The example of Langton's ant is to illustrate a point,

That is, very simple initial conditions and regular logic can also evolve into a random situation that seems to be chaotic and disorderly, and this chaos will become regular again after reaching a certain level.

Become beautiful.

Just as the wild earth gave birth to the first life from the boiling hot soup. "

“…”

Xing Hechou digested this passage in his mind and imagined the specific pattern of Langton's ant, "From chaos to order.

Ok, I get it.

The ultimate purpose of the cave locks is to protect King Shibi,

It knows that it can't trap us and can only procrastinate to a certain extent, so it sets up a seemingly simple, but in fact complex logic to let us fall into a maze.

If the game is played according to its rules, it will take at least another 10,000 moves before it can progress efficiently.

And this kind of high efficiency is still fixed in a certain direction, not necessarily leading to King Shibi. "

"That's right."

Li Ang said with a smile: "Considering the upper limit of the energy of the caves, the entire labyrinth will not extend infinitely,

In other words, as long as we walk more than 10,000 steps, it will not take too long, we will walk out of the maze and return to the outside world,

But I'm afraid King Shibi can't get close.

And if we want to change our destiny and continue to explore the checkerboard, there are only two ways.

One, tear down the walls with brute force.

Second, find a way to meet, let one team walk in the front, and change the color of the square. When the other team arrives, because the color of the square changes in advance, the direction of the final path will also change.

Neither method is very reliable.

Relying on brute force, it is possible to demolish dozens of walls or doors, but it will soon run out of spiritual power and be in a dilemma.

Find a way to meet, it can be done, but it will be too time-consuming. When we plan everything, it is estimated that the daylily will be cold-

The path of a Langton ant is well drawn,

If multiple Langton ants are placed together, the path will become extremely chaotic and disordered,

Even because of the different speed of travel between the teams, it was impossible to start painting at all, and it was in a dead end.

No matter from which angle you think about it, this grotto mystery lock is very delicate and ingenious~IndoMTL.com~ Only a few rules are set, which is almost within a square inch, and the complexity and chaos are deduced to the extreme.

From the perspective of an ancient supernatural being, King Shibi was indeed very, very intelligent. "

Wouldn't you be smart enough to figure out the structure of a modern cellular automaton thousands of years in advance?

Xing Hechou took the walkie-talkie and listened to Li Ang's sincere compliments,

He smiled bitterly, but his heart calmed down. Nobita had an inexplicable sense of relief when he saw Doraemon taking magical props from his 4D pocket, "So brother Li, how can we go out?"

Dora Aang, hurry up and tell me the method.

"Going out?"

Li Ang smiled when he heard the words, "No no no, if we follow the rules of the Grottoes, we will lose no matter what.

Either it consumes too much spiritual power, or it takes too long,

In any case, it can buy enough time for King Shibi to recover.

If you want to crack the mystery, you have to start from the initial positions of the five teams and find the pattern. "

While he was talking, he took out a large piece of metal from the backpack, released alchemy at will, transformed the iron block into a blackboard-like rectangle, and placed it on it,

Draw a square grid and the initial positions of the five teams.

"We already know where the other teams are now, and where they started from, by taking the square before the Mystery Lock extinguishes the candle.

If the conditions are brought in, and the interference caused by other teams advancing at the same time is excluded, then each team's Langton's ant roadmap can be drawn.

It is nothing more than upper left, upper right, lower left, lower right, four directions.

Five teams, twenty directions,

The area of ​​the island that is not covered by the route map on the entire map is where Shibi King may exist. "


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