There's not much time left.

This is already the third.

Yi Cheng recorded Murong Jun's name.

At the same time, the matrix in the system was checked.

Sure enough, the matrix has changed:

【0.4 0.7 0.1】

【0.5 0.2 0.1】

【0.2 0.1 0.8】

So does this matrix represent Murong Jun?

Up in the air.

It's too hard.

From Matrix 1 to Matrix 2 to Matrix 3, there was nothing to see anything related to Ran Bingqing, Shu Yu, Xia Rong and Murong Jun.

It's only 4 days left.

3 and a half days to be exact, because the answer had to be given at noon on Sunday to determine the true identity of the person who was projected in the end.

"Hahaha, mortal, you can't figure it out." Murong Jun sat on the bed and let out a wild laugh.

It's also strange to say, when Gong Sinan became a boy, he still spoke in this golden tone-

He felt the urge to hit him.

No, no, the world is so wonderful, I can't be so grumpy.

He suppressed the urge to hit Murong Jun and continued to sit at the table to solve his matrix.

But it's a waste of time.

He got up from his desk and prepared to go to the dream to solve the problem.

The time in the dream is three times that in reality.

"Did you go to bed so early today?"

Murong Jun was lying in the quilt, his eyes rolling.

Yi Cheng didn't want to see this face.

He lay down in the quilt, and Murong Jun held his hand.

Wait a minute.

Yi Cheng suddenly opened his eyes and sat up.

"I see."

"What?" Murong Jun looked at him nervously.

"I won't tell you." Yi Cheng smiled and fell asleep.

"Hmph, your aunt is right, you're a bad silver."

Yi Cheng smiled at the corner of his mouth and fell asleep.

He has a perfect method.

Dreams are 3 times longer than reality, which is equivalent to a way to predict the future.

He just needs to go in advance to see who Gong Sinan's projection will become tomorrow, and when it comes to Saturday, he will use the same method to find Sunday's projection, and then determine the answer.

……

【In Dream】

Yi Cheng experienced a day, and finally saw Gong Sinan's new projection at night-

The girl in class 2 is called Yang Yu.

Very well, he silently wrote it down.

At the same time, the transformed matrix is also recorded.

The next day, back to reality.

Yi Cheng got out of the evening self-study, a little bit looking forward to it.

He broke up with Bai Jingxue at the gate of the community, took the elevator, and came to his aunt's house-

How come?!

Yi Cheng was startled by the woman at the door—

This is English teacher Fei Yiqin.

What about Yang Yu, who said yes?

Yi Cheng glanced at both sides of the corridor, and didn't see a third person except for Teacher Fei.

"Hello Mr. Fei."

Yi Cheng greeted her.

Don't be, don't be, don't be, don't be......

"Yes, I'm Teacher Fei today." Fei Yiqin looked confused, "But I forgot what my full name is." ”

“……”

Yi Cheng sighed, he was very calm this time.

After many similar things, he wouldn't be surprised even if it was the headmaster who came tomorrow.

The two of them entered the house, and Yi Cheng introduced his aunt -

"This is our English teacher, Fei Yiqin and Fei teacher."

"This is my aunt, Shen Leyin."

"Hello auntie." Teacher Fei was as polite as ever.

"Hello Mr. Fei."

The aunt also behaved calmly.

Now she won't be surprised that Yi Cheng brings anything home.

……

"I'm a little tired today, why don't we watch TV together for a while?" Yi Cheng proposed.

"Okay." Teacher Fei was very happy.

The two sat on the sofa holding hands.

My aunt was playing a game next to her.

Yi Cheng made Ge You lie on the sofa.

He doesn't usually do that.

It shows that I am really tired today.

Tired.

He couldn't understand at all how the reality he simulated in his dream should be Yang Yu, but now he became Teacher Fei.

What happened in between?

looked at the matrix table in the system again, and it was already wrong with Yang Yu's.

Quantum mechanics?

God loves to roll the dice, and is he slightly left-handed?

"New FGO Event." The aunt bit her lower lip, "I have my favorite black chastity, should I smoke it?" ”

"Don't think about it, you can't draw it." Yi Cheng said.

"Hmph, maybe I have a good face?" My aunt doesn't believe in this evil.

"If you spend enough money, you have a higher probability of drawing," Yi Cheng said expressionlessly, "Although the gacha pool is a random process, it is actually a ......"

Wait a minute......

What if the matrix represents something else instead of people?

A flash of inspiration suddenly occurred in Yi Cheng's mind.

He jumped up from the couch and ran back to his room.

"What's wrong with you all of a sudden?" Auntie asked suspiciously.

Only Teacher Fei stood up silently and followed Yi Cheng into the room.

"There's really a tacit understanding, you guys." The aunt complained and continued to play her FGO.

……

"I see."

The corners of Yi Cheng's mouth went up, and he quickly did calculations on paper.

"What do you understand?" Teacher Fei sat on the bed, his eyes motionless at his back.

"I understand the principle of the task of the Digital Phantom." Yi Cheng's whole body became excited.

"So do you know the answer?" Teacher Fei continued to ask.

"I don't know." Yi Cheng shook his head.

"Oh." Teacher Fei sighed with a lonely expression.

"Looks like you really get it."

She said with regret.

……

Yes, Yi Cheng has already found the key from the conversation between his aunt just now-

As with all gacha games, this is a random process.

Each card draw is an independent random event.

However, the gacha in the game is not so random, and a good designer will take care of the feelings of [Face Black] players, and gradually increase the probability of SSR draws.

But that doesn't really guarantee that you'll spend enough money to actually get the SSR you want.

Because the next gacha is still a random process.

Yi Cheng made some calculations and comparisons between the previous projection events and the corresponding matrices, and put forward a conjecture -

This projection mission is a Markov chain.

However, this needs to be verified several times.

Yi Cheng took a deep breath and closed his eyes.

He now has 3 time-free items in his backpack from the Starter Pack, which can come in handy.

The Time-Free item allows him to spend real time in his dreams.

After Yi Cheng entered the dream realm, he spent all 3 time-free props.

At the same time, three very important data were obtained to simulate the projection results of Gong Sinan in the next 3 days and generate the matrix.

"No wonder."

Yi Cheng calculated for ten minutes, stopped his pen, and looked back at Mr. Fei.

Teacher Fei was also looking at him.

"No wonder you said the only thing you couldn't do was tell me the answer to the Sunday projection." He let out a sigh, "Because you don't know either." ”

Even if he could already guess what the values in that matrix were, he wouldn't be able to come up with a precise answer.

Markov chain.

The next event is only related to the current state and nothing else.

For example:

Assuming that the weather only changes in Sunny, Cloudy, and Rainy days every day, then if it is sunny today, we can get a probability of the next day's weather change based on the current state:

Sunny: 0.5, Cloudy 0.3, Rainy 0.2

However, we still don't know what the weather will be like the next day.

And when the weather occurs the next day, assuming it is cloudy, then the probability of the weather on the third day may change to:

Sunny: 0.2, Cloudy 0.3, Rainy 0.5

In any case, the probability of the next day's weather is only related to the current weather, and has nothing to do with any other day.

This is the Markov chain.

Therefore, even if Yi Cheng knew that the value in the matrix was actually the probability of the next event occurring, he would not be able to know exactly what the next event would be.

Originally, he was hoping that maybe he would get an all-1 or all-0 matrix on Saturday......

That way, he still has the slightest chance of winning the dungeon.

This is the end of my dream dungeon.

Yi Cheng thought to himself.

He looked at Teacher Fei in a daze.

What's even more terrifying is that neither he nor Gong Sinan knows who she will become in the end.

"So, if you're fully projected into reality," said Isei bitterly, "do you still need to find me to keep warm?" ”

"I don't need it." Gong Sinan responded to him happily, "Hmph, after I have an entity, how can I still be bound by mortals like you." ”

Very good.

That's a new life.