The hail conjecture is also known as the 3n+1 conjecture and the Kakutani conjecture.

It comes from a math game.

In the mid-20s, most people in the famous schools in the beautiful country were playing a math game, day and night, forgetting to eat and sleep.

This game is to write a positive integer N arbitrarily and transform it according to the following rules:

If it is an odd number, the next step becomes 3N+1.

If it is an even number, the next step becomes N/2.

This interesting game was born in the beautiful country, and it has swept the world like autumn leaves, and a large number of scholars have joined in.

The most interesting part of this game is that no matter what number N is, the final result will return to the bottom 1.

In other words, no N can escape the fate of falling into the 4-2-1 cycle at the bottom.

Later, the game became known as the Hailstorm Conjecture.

Ye Xiaotian wrote down the content of Hail's conjecture on a white paper, and began to think hard.

The previous Zhou's conjecture was proved after Ye Xiaotian understood the problem-solving process given by the system.

Just like peeking at the answers in an exam, although you can score points, it is not something you racked your brains to come up with, so it doesn't exercise your thinking to a great extent.

This time, Ye Xiaotian wanted to prove it by himself instead of looking at the systematic problem-solving process.

He wants to exercise himself.

Make yourself stronger.

After becoming stronger, even if the system "disappears in ashes and ashes", it will not hurt.

System [Then I go? 】

Ye Xiaotian smiled and said, "Just kidding."

After thinking for an hour and scribbling on paper, Ye Xiaotian had some ideas, but he still had a long way to go to prove the hail conjecture.

But Rome wasn't built in a day.

A world-class problem like the hail conjecture cannot be solved in three to five days. You have to take your time, and you can't eat hot tofu in a hurry.

As long as you don't want to die, then think about death.

It wasn't until one o'clock in the morning that Ye Xiaotian closed his eyes and fell asleep.

In the early morning of the next day, Lin Shiqing walked into Ye Xiaotian's room and was taken aback.

Panda eyes.

Lin Shiqing helped him tuck the quilt, and slipped out quietly.

It wasn't until 11:[-] that Ye Xiaocai woke up, his stomach growling with hunger.

As soon as she walked out of the living room, Lin Shiqing came over with a bowl of lean meat porridge.

Ye Xiaotian took it and ate one bowl, then another.

Lin Shiqing asked: "Have you stayed up late?"

Ye Xiaotian said: "Staying up late is not good for your health."

Lin Shiqing nodded.

Ye Xiaotian continued: "So, I stayed up all night."

Lin Shiqing's face began to turn from yang to yin.

"Just kidding."

Ye Xiaotian chuckled, if he teased his mother again, he might really get beaten, so he gave a reason and said, "I just suffered from insomnia last night."

Lin Shiqing's face turned from cloudy to sunny.

It's like juggling.

"Go back to sleep and go shopping with me in the afternoon."

Lin Shiqing pinched his face and said with concern.

Ye Xiaotian shook his head: "No need, let's go now."

He has slept for 10 hours, and if he sleeps, he will be no different from a pig. It is better to go out for a walk and let his mind relax.

Seeing that Ye Xiaotian's expression was not bad, Lin Shiqing took him out to buy things to fill the refrigerator.

Mao Xiaomi stayed behind and guarded the house.

Before Lin Shiqing buys anything, she always makes a list. Everything she needs to buy will be written on the list. What she pays attention to is balanced nutrition, cheap and delicious food.

But every time she goes out, she forgets to bring the list.

With her infinitely close to zero mind, she couldn't remember most of the things on the list.

So, I can only buy whatever is delicious.

Lin Shiqing took Ye Xiaotian's hand, walked into a fruit shop, and began to pick out fruits, all of which she and Ye Xiaotian liked to eat.

As for what is nutritionally balanced, fuck you.

Ye Xiaotian stood aside, and began to look at the beauties, bah, to look at the environment in the fruit shop.

Next to him, a young lady was picking durians.

Ye Xiaotian mourned silently in his heart: "A certain brother, your knee is about to fail."

"Miss, are you choosing durian?"

Ye Xiaotian walked over and started to strike up a conversation.

The young lady stopped, took a look at Ye Xiaotian, and there were stars in her eyes, such a cute little lady, she started to attack him.

After touching Ye Xiaotian's head, the young lady nodded.

Ye Xiaotian continued to ask: "When you buy durians, do you buy them to eat or to use?"

The little sister blushed a bit, and said shyly, "It is used."

"Who is it for?"

Ye Xiaotian asked curiously.

The young lady said, "Give it to my dad."

Great filial daughter!

Ye Xiaotian sighed, not only did the padded jacket leak air, but it was also black.

"I'm the best at picking durians. Let me tell you, Miss, just buy this one. Don't look at it as small, but the thorns on it are definitely the biggest and sharpest here. When your dad's knee touches it, it will definitely rot." Useless."

Ye Xiaotian enthusiastically picked a durian for the little sister.

The young lady took a look at the durian, touched it with her hand, took a breath of air, and quickly shrank back.

She decided to buy this.

"Thank you, little brother."

Ye Xiaotian said modestly: "It is my nature to be willing to help others."

"Can I bite you?"

The young lady asked blushingly, this little Zhengtai is so cute, she couldn't help but want to hug her and hold her high.

Ye Xiaotian is a decent person, how could he agree to such an unreasonable request?
He refused: "No."

The lady is a little disappointed.

Ye Xiaotian said with a smile: "It takes two mouthfuls."

The young lady's eyes lit up, she squatted down, bit Ye Xiaotian's face twice, then blushed, and left with the durian.

Ye Xiaotian sighed.

Two mouthfuls are really two mouthfuls?

Won't you take a few more bites?

I don't mind.

Lin Shiqing picked out the fruit, walked over, and asked curiously: "Little Tian, ​​why do you look like you're still full of ideas?"

Ye Xiaotian shook his head, and quibbled: "I don't have anything to say, I'm just sighing, this durian looks too straight, right?"

Lin Shiqing:? ? ?

After buying fruit, go buy some vegetables and meat.

Lin Shiqing took Ye Xiaotian back.

Downstairs, Ye Xiaotian saw Sister Wu.

"Aunt Wu, what are you doing?"

Ye Xiaotian asked.

Sister Wu said anxiously: "My sweeping robot is gone. I searched at home for a long time but couldn't find it, so I went downstairs to look for it."

Intuition told Ye Xiaotian that Mao Xiaomi should have done this.

"Aunt Wu, look for it here first, and I'll help you find it later."

After Ye Xiaotian said something, he went upstairs with his mother.

Lin Shiqing frowned and said, "Mao Xiaomi couldn't have done this, could it?"

"possible."

Ye Xiaotian said noncommittally.

Opening the door, the two of them saw this scene.

The sweeping robot is turning around in the living room, and the cat Xiaomi is lying on it and sleeping soundly, very comfortable.

The point is, they didn't bring back the robot vacuum.

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