What the f * ck?
Tell me, what is this Hail Conjecture?
In the live broadcast room, someone immediately asked.
[I'll stop talking. The Almighty is going to explain. I have to take notes on the knowledge points!]!
Following this person's words.
"Hail conjecture, also known as 3N 1 conjecture.”
Ling Chen said,"Give me a random natural number. Do you understand odd numbers?"
Dilareba felt that her intelligence had been insulted and rolled her eyes."Please! I also went to middle school, how could I not know what an odd number is!”
"That's good. If you know the odd-even numbers, you can basically understand this conjecture.”
Ling Chen nodded and continued," If it's an odd number, then multiply it by 3 and add 1. When it becomes an even number, divide it by 2 and keep calculating…"
" In the end, you will realize that no matter how large the value is in the process, it will eventually fall like a waterfall and become a number 1.”
"And the most amazing thing is that it will become 4-2-1 in the end, and the three numbers will keep repeating like falling into a black hole.”
Dilareba naturally understood, but her face was full of doubt."Really?"
Ling Chen smiled.
If it was the first time he knew about this conjecture, he would definitely think that it was impossible.
So he took out a piece of white paper, grabbed a pen, and said,"If you don't believe me, you can give me any number and we can calculate it.”
"Really?"
Dilareba didn't feel that she had turned this lifestyle program into a math class.
Instead, he excitedly thought of a number.“27。”
Ling Chen was stunned for a moment and hesitated.”
Dilareba's eyes widened. Could it be that the number 27 doesn't fit the Hail Conjecture you mentioned?”
"That's not it."
Ling Chen shook his head and said," It's just that the number 27 is the most special number within 100 in the Hail Conjecture. Of course, 54 is twice the number 27."”
Dilareba naturally did not understand. She asked,"Why is it special?"
" It's because the fluctuations in the calculation process are extremely unstable," Ling Chen explained. First of all, 27 needed to go through 77 steps to reach the peak value of 9232, and then go through 32 steps to reach the bottom value of 1.”
" The entire calculation process requires 111 steps, and the peak value of 9232 is 342 times the original number of 27.”
"In the range of 1 to 100, there is no such violent fluctuation as 27.”
"So, if you just want to play this number game, there's no need to come up with the number 27.”
Dilareba's eyes turned into crescents as she smiled."I was just saying. Is it that amazing?”
Ling Chen glanced at her and lowered his head to write 25 on the paper. He said,"Why don't we use the number 25 to calculate?”
"Okay," Dilareba nodded.”
Then, he said to the camera,"Friends who are watching the live broadcast, you can try it too!" He's now a professor at Pearson…Right, Ling Chen, you're a professor now, right?”
"Yes." Ling Chen nodded.
Dilareba revealed a look of admiration and said,"It's Professor Pearson's teaching time now! Please take out a pen and paper and learn from them!”
Ling Chen was amused by her actions.
After writing 25 on the paper, he asked,""Do you still remember the rules I just mentioned?”
"Eh?"
Dilareba opened her mouth and smiled embarrassedly."I forgot."
Ling Chen then wrote on the white paper:
Take any positive number N,
If n is an odd number, the next step becomes 3N 1;
If n is an even number, the next step becomes N/2.
After he finished writing, he asked," The number 25 is an odd number. We have to multiply it by 3 and then add 1.”
After saying that, he looked at Dilareba.
Dilareba was dumbfounded.
Don't tell me you want me to calculate it myself?
"Humph! Give me a pen!"
Dilareba stubbornly reached out to snatch the pen from Ling Chen's hand and started calculating."25 multiplied by 3 is…75! Add another 1 and it's 76!"
"What's the next step?"
"Next, divide the even number by 2. 76 divided by 2 equals 38!”
"Continue."
" 38 divided by 2 equals 19. Ah, 19 multiplied by 3…equals…"
"That's 57, plus 1 equals 58. Continue.”
"Hmph, I don't need your help!"
Dilareba wrinkled her nose like a little girl. She hugged the paper and placed it on the table in front of her, then began to calculate.
" 58 divided by 2,29, multiplied by 3,87, plus 1,88,88 divided by 2,44, then divided by 2,22, then divided by 2,11…"
"11 has to be multiplied by 3 again. 33 plus 1, 34, divided by 2, 17…Ah, it feels so troublesome.”
"Soon."
"17 multiplied by 3 equals 51. Add 1, 52, divide by 2, 26, then divide by 2, 13…Is it really fast?”
"Yes, it will be over soon."
"Alright, I'll calculate again."
Dilareba bit the tip of her pen with her beautiful lips and started counting."Multiply 13 by 3, 39, add 1, 40, divide by 2, divide by 2, until only 5 is left!”
The appearance of the number 5 made her feel like she had seen the light of dawn.
He had indeed seen a glimmer of hope.
"5 multiplied by 3, 15, plus 1, 16.”
Although she wasn't that sensitive to numbers, Dilareba's eyes lit up when she saw the number 16. She slammed her pen on the paper.
Then he said confidently," 16 divided by 2 is 8, 8 divided by 2 is 4, 4 divided by 2 is 2, and 2 divided by 2 is 1!”
……
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