"Ahh

Yi Cheng sat up from the bed abruptly.

Outside the window, the sky is faintly bright.

The morning birds have not yet foraged for food.

The time was half past five in the morning.

Yi Cheng looked back-

Ziqi lay peacefully on one side and slept deeply.

On the other side, Gong Sinan became a normal size and lay on the ground, one hand still hooking him.

Yi Cheng brushed aside Gong Sinan's fingers and covered his aching forehead.

Before, was it just a dream?

"Hey, guess?"

The sound of wind chimes rang in his brain.

Belch......

Yi Cheng's eyes narrowed a little angrily.

You're really bad.

No wonder......

Yi Cheng recalled the episode of last night, a little red and heartbeat.

So the last one is you?

"Which one?" The voice of the wind chime asked with a hint of banter.

"Hehe, you're really bad."

Yi Cheng couldn't wait to uninstall the system.

Ziqi couldn't have said that kind of thing.

But why is the Soul Goddess able to control my dreams?

It stands to reason that since he obtained the dream system, as long as he does not fall asleep in the dream, the dream is a simulation of reality......

If dreams are simulations of reality—

According to the normal timeline, if he doesn't fall asleep, he will ...... with Ziqi?

Yi Cheng suddenly blushed and his heart jumped.

"Hahaha......"

The wild laughter of wind chimes came from the brain.

Yi Cheng had an urge to kill her.

"yes, if you hadn't fallen asleep yesterday, this would have been the way the plot developed." Wind Chime said regretfully, "You are single by strength, poor boy." ”

"......," Yi Cheng turned his face to the side, "I just wanted to study hard." ”

lowered his head and put Gong Sinan, who was gradually shrinking due to the cold wind, into his pocket.

"Well, but you'll gradually discover ......," the wind chime's breath seemed to be in her ears, and she said word by word, "your own soul." ”

Discover your soul?

Yi Cheng was stunned.

"Or rather, what your true heart wants."

"Uh......"

Yi Cheng ignored her.

"You haven't answered my question yet, how the hell do you control my dreams?!" Yi Cheng was a little annoyed.

"Because I'm a goddess of souls." Wind Chime said with a smile.

"What does that have to do with my dreams?"

"Haven't you heard a word?" Wind Chimes Say –

"Dreams are the dwelling place of the soul."

……

The next day, everyone attended the opening ceremony and visited their own examination rooms.

They are placed in different classrooms for the exams.

Yi Cheng and Li Anruo were assigned to an examination room.

In the afternoon, Mr. Meng led the team to visit the Presidential Palace and the Yangtze River Bridge.

When I came back, it was already 8 o'clock in the evening, and after dinner, everyone went back to their rooms to sleep.

After last night's werewolf nightmare, no one wants to continue playing board games today.

Anyway, no matter what they played, they firmly believed that they would eventually become crushed by Yi Cheng and Yan Ziqi.

……

In a blink of an eye, I came to the first exam on the third day.

December 11th.

8 a.m. to 12:30 a.m., four and a half hours.

It looks like a particularly scary length of the exam.

In fact, there are only 3 questions in the entire exam.

Each question is worth 21 marks.

You can imagine the difficulty of the question.

In order to be in line with IMO, it has become more and more difficult for CMOs to write questions in recent years, and the scope of the exam has gradually expanded.

Although it is a math competition for middle and high school students, the knowledge involved is not limited to high school, and there are some number theory contents, which are university courses.

The entire classroom was packed.

Yi Cheng lowered his head, and he could hear his own breathing.

This feeling -

It's like standing on a silent battlefield.

It's exciting.

At 8 o'clock, the exam officially began.

Yi Cheng opened the test paper and began to review the questions:

The first question is a geometry question.

It also looks very simple, with a large round quadrilateral, a quadrilateral in the quadrilateral, with vertices and vertices connected to each other, and the center point connected to each of the two quadrilaterals......

In short, it is a geometry problem that applies letters to Q.

It needs to be proved that the sufficient and necessary conditions for ABCD to be a circle inscribed quadrilateral are: the area of △ is equal.

This problem is not difficult, if it is used as an auxiliary line and the basic analytical method is used to calculate, the rest is just manual work.

Yicheng already has at least 4 different proofs in his head.

But he didn't want to waste his time.

Yi Cheng chose the Brahmagupta theorem as the warrior for this battle.

The name Brahmagupta is very distinctive when you hear it.

He was an Indian more than 1,400 years ago and was highly accomplished in mathematics and astronomy.

This man wrote a book called The Brahma Correction System

The Brahma theorem mentioned in it is a very important theorem in geometry and has been widely used in various fields.

But his greatest strength was not in geometry, but in solving indefinite equations, which he solved more than 1,100 years earlier than the European bull Lagrange.

It's just a pity that it was not known to Europeans at that time.

What does the Brahma-theorem, as a well-known theorem in geometry, say about it?

What it says is -

If the diagonal lines of the circle and the quadrilateral are perpendicular to each other, the lines perpendicular to one side and past the intersection of the diagonal lines bisect the opposite sides.

It's a fitting question.

Mathematics is not difficult for those who know, but not for those who are difficult.

You find it difficult, you can't find your direction, and you can't do it in a day.

But once you figure it out, you can do it quickly.

This question doesn't need to be calculated, Yi Cheng uses the Brahma and many theorems as the first striker, which is equivalent to using the sword rank to fight the spear level, perfect restraint.

He took up his pen and wrote—

In the quadrilateral ABCD, let the diagonal AC and BD intersect at the Q point, and M and N are the midpoints of the line segments AB and CD, respectively, and connect ......

The same can be argued......

Again by ...... Know......

The proposition is proven.

21 points to hand.

Yi Cheng took a deep breath and smiled with satisfaction.

It took less than 10 minutes to complete all the questions.

He still has more than 4 hours.

The first question is relatively simple, as the contestants everyone knows in their hearts, this question is a score question, so they are all bored to answer the question.

Calculations using general analytical methods will take a little more time.

Yi Cheng came to the second question one step ahead of the others-

[Three people fight the landlord.

Remove the big and small kings, and you can only play with black and red A-K.

A total of 26 cards.

The landlord took 10 and the peasant took 8.

Neither of them knows the other two's cards.

Before playing cards, the landlord said, I have a straight.

Farmer A said, I also have a straight.

Farmer B said, I only have one pair (two cards of the same kind).

Q: If the landlord plays the cards first, everyone plays the cards according to the optimal strategy, what is the optimal order of the landlord, and what is the maximum probability of winning? 】

The rules for the landlord of the attached bucket are:

Starting from the landlord, the cards are played in order of the landlord - farmer A - farmer B - landlord.

When it is the user's turn to call, the user can choose to "not out" or play a card higher than the previous player. The hand ends when a player finishes playing their cards.

Hand Type:

Single: A single card (e.g. 5 of hearts)

Pair: Two cards of the same value (e.g. 4 of hearts + 4 of spades)

Straight: Five or more consecutive single cards (e.g. 45678 or 78910JQK, here 12345 can also be straight)

……

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