After saying goodbye to the instructor, the teachers and students who participated in the training took a bus back to the school.

In the car, when the team leader asked Chen Zhou and the others what was the most impressive thing about this military training.

Chen Zhou unconsciously thought of the digital pyramid.

This is also his greatest gain.

Now that the military training is over, he can finally pour out all his thoughts.

As soon as Chen Zhou got off the car, he went straight to the dormitory, and he couldn't wait.

So much so that the team leader was still counting the number of people and was about to say something else, Chen Zhou's figure had disappeared.

Of course, Chen Zhou didn't turn his head and leave. He told Li Li that if he counted the number of people, he would give him a squeak.

On the way, Chen Zhou sent another message to Yang Yiyi, telling her to wait for her in the library in the afternoon.

However, Chen Zhou himself returned to the dormitory, packed up his things, and went directly to the library.

He is chasing the rotation of the earth.

"List the pyramid of numbers first."

Library, old location.

Chen Zhou took out the draft paper, began to draw triangles, then sorted them out, listed the numbers of each level, and completed the construction of the digital pyramid model.

"The next one is based on the hail conjecture operation."

Thinking of this, Chen Zhou continued to write on the draft paper with the pen in his hand.

[After the odd number a has passed m times of hail conjecture operation, the m1st odd number obtained is recorded as a(m), and obviously a(m)=3^m/2^(b1b2···bm)·a3^

(m-1)/2^(b1b2···bm)3^(m-2)/2^(b1b2····bm)···3/2^(bm-1bm)1/2^bm]

[Here you can list the m1 odd numbers obtained by a after m hail conjecture calculation: a, a(1), a(2),..., a(m)]

Having written this, Chen Zhou looked back at the model of the digital pyramid.

The two can be connected in series.

In the pyramid of numbers, Chen Zhou marked the location of m1 odd numbers obtained by a after m hail conjecture calculation.

Then use the one-way arrow to point a(n) to a(n1) and connect these points in turn.

After doing this, Chen Zhou looked at the pyramid of numbers and wrote next to this curve with his pen:

【Odd number, the route lm after hail guessing operation]

"Well, the route must be clear..."

Chen Zhou habitually lit the draft paper with his pen and thought about the route.

After completing the verification of the route in my mind, Chen Zhou began to write:

【If ab can be divided by 2 in the hail conjecture operation of m times, b1, b2, b3,..., bm times, ac can be divided by 2 in the hail conjecture operation of m times, c1, c2, c3,

…,cm times…]

【…When the condition br=cr(r=1,2,3,…,m) is true, it can be said that the "operation routes of ab and ac are the same. When the condition br=cr does not necessarily have, but r=1

When →m∑br=r=1→m∑cr is established, it can be said that the "operation routes of ab and ac are similar."]

At this point, Chen Zhou completed the preliminary preparations.

Seeing the contents of a whole piece of draft paper, a smile appeared on the corner of his mouth: "This idea is a big deal..."

After putting down the pen, Chen Zhou stretched and felt a little tired.

As soon as he participated in the military training, he came to the library to solve the hail speculation. There was no one except him.

"Little brother, what were you laughing at just now?"

Hearing this familiar voice, Chen Zhou turned his head slightly and saw Yang Yiyi standing next to her with her backpack and lunch box.

Well, Yiyi is also tanned. Is that sunscreen fake?

Chen Zhou thought of before the military training, he searched it out and prepared a military training guide for Yang Yiyi.

But looking at Yang Yiyi's face, Chen Zhou suddenly felt that this strategy was unreliable, and it was a blessing that hundreds of people praised it.

"Hey, you come here if you don't have lunch. Do you want to cultivate immortality?" Yang Yiyi handed the lunch box in her hand to Chen Zhou, with a hint of blame in her tone.

Chen Zhou took the lunch box and whispered, "I won't know next time."

After a pause, he added: "Who made me have such a caring girlfriend?"

After saying that, he ignored Yang Yiyi's angry eyes and got up with the lunch box and walked away.

After all, it is still difficult to eat directly in the self-study area in the library.

He is afraid of being beaten.

But what Chen Zhou didn't know was that as he left, the cough that was already ready to go was taken back.

The vegetables Yang Yiyi bought for Chen Zhou were all the ones he liked to eat.

Chen Zhou satisfied and eliminated this happy lunch box.

After packing the garbage for a while, Chen Zhou slowly walked back to the self-study area.

Looking at Yang Yiyi's back, Chen Zhou thought about it and went out again.

When he comes back, he holds an ice cream bowl in his hand.

He gently patted Yang Yiyi's back. When Yang Yiyi turned her head, Chen Zhou handed the ice cream bowl on it: "Hey."

Yang Yiyi happily took it over, eating ice cream while looking at the books in her hand.

Chen Zhou looked at Yang Yiyi's appearance and rubbed her head in a doting way.

Yang Yiyi pouted and turned her head to look at Chen Zhou: "It's delicious~"

Chen Zhou chuckled softly.

Putting the previously written draft paper aside and taking out a new draft paper, Chen Zhou began to continue his research on the hail conjecture.

From the numerical pyramid, you can also obtain some characteristics of the n-th odd number when performing hail conjecture operations.

【Feature 1: If a hail conjecture operation is performed on the 2^(n-2) odd numbers in the nth level in the pyramid, there will be 2^(n-3) odd numbers when performing hail conjecture operation, and they can only be

2 is divided once; and so on, there is an odd number that can be divided by 2 by nd(n) times when performing hail conjecture operation. Here d(n) is equal to 1 (n when odd) or -1 (n is an even number

hour)】

This is what Chen Zhou thought about during military training.

But feature 1 needs to be proved.

After thinking briefly, Chen Zhou began to prove it.

The proof method is not difficult, and it requires some content of number theory.

Chen Zhou first wrote aside the number theory content that needs to be used, and then listed the 2^(n-2) odd numbers in the nth level of the pyramid in turn.

Then make it equal to a1, a2, a3,..., a2^(n-2) respectively.

This is an arithmetic sequence with a tolerance of 2.

Using this feature, you can convert the sequence again.

That is, the form a2=a12 is converted.

After the conversion was completed, Chen Zhou tapped the tip of the pen, thought for a moment, and then wrote:

[When performing the first hail conjecture operation on each item in the above formula, first multiply each item by 3, and then add 1, you can get...]

Chen Zhou's pen kept calculating each item along the way.

Then, make a simple change in each item after the operation, treat 3·2 as a, and 3a11 as any integer b.

At this point, we can deduce it based on the number theory lemma on the side.

【…The term with serial number 2^(n-4)2^(n-6)…21 is multiplied by 3 and added by 1 to...】
Chapter completed!