The way to pass the game~

A dark steel room, sealed off from all sides. A huge blue clock emitted an eerie glow and became the source of light. After the Truth Clock finished speaking, Fu Wenduo asked the same question as in the previous round, unlocking the Truth World's suppression of the player. After gaining his freedom, Tang Mo took one step in front of the Truth Clock, and he stood underneath the giant clock.

In the next moment, Tang Mo reaches out and passes through the blue clock.

His hand steadily touched something, and Tang Mo closed his eyes, sighing softly. He curled his lips and snapped this door open.

The sound of the door opening resounded in the room, and at this moment, Zhao Xiaofei and Li Miaomiao were still standing at the same place with a dumbfounded look on their faces. Even though they could move their feet freely, they were still staring blankly at Tang Mo's back. They hadn't regained their senses from the drastic change just now.

...... What do you mean the second round of hide and seek is over?

How can the second round be over when they haven't even started the game of hide-and-seek, haven't entered a single corridor, haven't left a single footprint?

But the Truth Clock didn't lie, and there was certainly no way they could win this round of the game again.

Zhao Xiaofei and Li Miaomiao bit their lips and racked their brains to figure out what was going on.

Tang Mo said, "Sure enough, directly across the street is this staircase."

Everyone immediately came back to their senses and rushed over to the door. Who did not expect that behind the Truth Clock there was actually a small door that was hidden extremely tightly. After opening this door, Li Miaomiao looked at the scene outside the door and said in dismay, "This is ...... another staircase?!" As the words fell, Li Miaomiao seemed to remember something, she quickly ran to the door on the other side of the room, that is, the door they had just entered, and opened it.

The two doors corresponded to each other.

Coming down one staircase, you can go straight into the room with the Truth Clock. Don't look back again, go forward along this room and through another door, you can walk into a second staircase and up the stairs into the second floor.

The room of the Truth Clock becomes a center passageway that connects the two staircases.

Zhao Xiaofei felt as if she had caught the key: "If you want to pass the game of hide-and-seek and find Schrödinger, you have to find this door?" Judging from Tang Mo's reaction, this should be the case. But she still doesn't understand, "Why have we lost now? We haven't even started our second round of hide-and-seek yet."

Tang Mo : "Because when we stand in this room, it means that it is no longer possible for us to find all the rooms."

Zhao Xiaofei abruptly froze.

The two doors were opened together, and two dark staircases came into the players' eyes. Schrödinger no longer spoke, but everyone knew that the little black cat with the big green eyes must be staring directly at every player in the room, at the silent blue clock.

Everything is actually very simple.

"During the last round of games, I had Li Miaomiao ask the Truth Clock a question."

Li Miaomiao recalls, "I asked how we could pass this game of hide-and-seek."

Tang Mo nodded, "Yes, that was your question. But at that time, after the Truth Clock made its answer, the Black Tower blocked the answer for the fairness of the game. We didn't hear any of the answers, and the Black Tower told us that the Truth Clock's answers were correct, that it hadn't lied, and that was the end of that question."

Everyone remembers this incident, and they were all so angry that they wanted to smear Black Tower with Schrödinger's cat food.

Li Miaomiao: "So?"

What's the point of this question when the answers are blocked by the Black Tower?

Tang Mo laughed, "The Black Tower blocked the answer, but it didn't block the answer before the Truth Clock said one thing."

The crowd began to ponder what exactly the Truth Clock had said at that moment, when a calm male voice rang out, "It said that there is only one way to pass this game."

Tang Mo looked up and locked eyes with Fu Wenduo for a moment before he said, "Yes. It says there is only one way to find Schrödinger."

Li Miaomiao is still a bit confused: "There's only one way, and then what?"

"And then, the method the Black Tower already told us long ago."

After a long time, Li Miaomiao and Zhao Xiaofei said in unison, "Rule number seven of the game, look in all the rooms and you'll surely find the Schrödinger?!"

"Right." Tang Mo said, "Schrödinger can lie, the Truth Clock can lie. But the Black Tower, never lies. It only conceals conditions, lays traps, reduces the amount of information available to the players, and even misleads them. But it will never lie. So there is one and only one way to pass this game - search all the rooms and you will find Schrödinger. then the problem is simple, it's a one-stroke problem. But then the problem is a bit more complicated, because this castle can never be walked through in one stroke."

Four hours ago, when Tang Mo had listened to the Black Tower explain the rules of the game, making sure that he could only walk down each corridor once, he had been reminded of a graphing problem he had once encountered when he took the civil service exam the year he graduated from college.

The librarian in Suzhou is a career program that requires an exam. That graphing question looked extremely complicated, with intersecting lines for each of the four options. The requirement was to choose one of the following four figures that could not be drawn in one stroke. It took Tang Mo five minutes to choose the correct answer, and by then he had a vague realization in his mind that there must be some kind of theorem for the one-stroke problem.

Tang Mo suddenly thought that if Chen Shanshan had come along to participate in the tower attack game, I'm afraid this game would have ended long ago.

When they started the tower game, Tang Mo didn't know what the theorem was. As they walked out of the kitchen to find the Schrödinger and learn about the map of the Iron Fortress, Tang Mo drew all kinds of patterns in her mind as she walked, looking for the theorem. By the time the five players have finished the second floor, Tang Mo has also discovered the theorem, and has argued for it himself. But then a problem suddenly arises.

This fortress can never be walked in one stroke.

Because it has two staircases.

"Any closed figure that wants to go through it in one stroke requires one prerequisite: it can only have 0 or 2 odd intersections in its intersections. Other than that, any graph that does not fulfill this condition can never be walked through in one stroke."

An odd number of intersections is an intersection where it has an odd number of lines. Using Schrödinger's Iron Fortress as an example, this is an odd-numbered intersection point before Tang Mo finds the second door hidden in the Truth Clock room. There are three ways to go from this point: up the stairs, left into the corridor, and right into the corridor.

The speed of the players' thinking has increased since the launch of Earth. Zhao Xiaofei and Li Miaomiao were not able to prove the theorem at once, but they thought of a few graphs in their heads and realized that all of them were consistent with the theorem.

Zhao Xiaofei said: "If this is really the case, there are a total of two staircases in this castle. Each side of each staircase is an odd numbered point, and there are a total ...... of four odd numbered points. It's simply impossible to walk through all the corridors without looking back!"

"So there are two odd points that can certainly become even." After a pause, Tang Mo glanced at Fu Wenduo.

Ten minutes ago when they were at the bottom of the second staircase, Fu Wenduo whispered in Tang Mo's ear. He said that in this present position, the room of the Truth Clock was to their left, directly to the left.

The conditions for being able to find this hidden door were actually extremely harsh.

First of all, the player should know that there is one and only one way to find Schrödinger, and that is to find all the rooms. Finding all the rooms means that the player has to play a simple one-stroke game.

Secondly they have to figure out the basic map of the two-story building in the first round of the game, they have to know the theorem of the one-stroke problem, and they have to discover the truth in the second round of the game to find this hidden door that will turn this fortress of steel into a workable one-stroke graph.

Finally, players like Fu Wenduo, who have strong spatial thinking skills and memory, are also needed.

Tang Mo has been thinking about how to turn four odd points into two. He won't realize that the two corridors are actually directly corresponding, with the room of the Truth Clock sandwiched in between.

All of the above conditions are missing. Even the player can't find the truth if they don't get an inch and ask it questions when confronted with the Truth Clock, but simply win the quiz and leave the room.

Tang Mo : "The fact that there are 0 or 2 odd points is only the first condition for completing the one-stroke problem. The second condition is that our starting point must be an odd numbered point. We can't go anywhere in the second round of the game, because in the third round, we have to start the game from some fixed point. Otherwise even if we discover the truth by then, we won't find Schrödinger as long as we don't start walking from an odd numbered point."

Tang Mo chose to enter the room of the Truth Clock at the beginning in order to determine the true singularity.

Truth Clock's room is located at an odd point. This odd point is not a true odd point, so even before they start walking in the second round of the game, it's already impossible for them to win the game. This is the truth Tang Mo wants to know from Truth Clock.

Grea's voice rings out with a chuckle, "It's Schrödinger's fortress, and of course it's free to move around in every room. So without searching all the rooms, it can hide in any room that the players haven't been in. Only by searching all the rooms will it not dare to cheat ...... This game is so much fun, the great Herr Schrödinger."

"You shameless humans!!!" The little black cat roared. No one would give it face though.

Already knowing the way through, they also find this small, hidden door through which the five players leave the room in turn, ready for the next round of the game.

Before leaving the room, Tang Mo turned her head to look at the truth clock.

The seconds clattered away on the huge blue-lit clock. The clock seemed like an ordinary clock, and as it had said at the beginning, it told the time accurately for the great Herr Schrödinger. Schrödinger had only needed it to tell the time, and perhaps he didn't need it now.

It can't be a coincidence that the Truth Clock was placed in this particular room.

Tang Mo walks out of the room, smiling and shaking her head.

The Black Tower turns a blind eye and lets Schrödinger cheat, allowing it to move around the 108 rooms as it pleases. The Black Tower will then give the player hints as well. The Truth Clock is a hint. If it wasn't the Truth Clock that was placed here, this game would be substantially more difficult. Tang Mo would not have known the real way through, and Fu Wenduo would not have been so impressed that he made sure the left and right staircases corresponded to each other.

The five players reach the top of the corridor and Li Miaomiao wants to go further, but Tang Mo stops her.

Tang Mo looked up and said, "Black Tower, can we just drop the second round of the game and start the third round of hide-and-seek?"

The little black cat roared, "You asshole!!!"

The Black Tower said in an emotionless voice, "Yes. Please confirm that the player forfeits the second round of the game."

Tang Mo: "We give up."

"Ding Dong! The second round of the hide-and-seek game is over and the player has failed. After a ten minute break, the third round of the hide-and-seek game will be forced to start."