Omnipotent Data

Chapter 330

The award distribution rules of the National Undergraduate Modeling Contest are as follows:

All competition area awards are divided equally between a and b.

And all the national award quotas are allocated to two topics a and b according to half of the quota, and half of the quota is allocated according to the proportion of the number of topics a and b selected.

No matter from the perspective of competition area awards or the national award quota allocation mechanism, if you choose the question that is chosen by fewer people among the two questions a and b, the chance of winning will increase to a certain extent.

Therefore, those teams who think they are not good enough or are on the verge of winning, when choosing a topic, not only should they consider whether it is suitable for their group, but of course, they should also consider whether the competition for this topic is fierce.

Under normal circumstances, during the three-day competition, the selection of the topic would take almost one morning.

After all, the participating teams must have a full and comprehensive understanding of the two topics before they can make a careful choice. Otherwise, halfway through the topic, they realize that it is not suitable for their group, so there is no place to cry.

No one glanced at the topic casually, and all the specific modeling ideas appeared in their minds, except of course, Cheng Nuo!

Others need a whole morning to choose a topic, but Cheng Nuo doesn't have to bother.

After hesitating for a while, Cheng Nuo chose question b, which is expected to be chosen by many people - splicing and restoring pieces of paper.

In each modeling question, there are 3~4 questions included, and the splicing and restoration modeling of shredded paper is no exception.

Question 1: [For a given piece of paper shredded by a shredder (only longitudinal cut) from the same printed text file, establish a splicing restoration model and algorithm for the shredded pieces, and for the Chinese and English given in Annex 1 and Annex 2 The fragmented data of each page of the file is spliced ​​and restored. If the recovery process...]

Question 2: [For the situation where the paper shredder cuts both vertically and horizontally, please design the splicing restoration model and algorithm of shredded paper, and splice the fragmented data of the Chinese and English pages given in Annex 3 and Annex 4 recovery……】

Question 3: [The fragmented data given above are all single-sided printed files. From the actual situation, there may be problems of splicing and restoring the shredded papers of double-sided printed files that need to be solved. Attachment 5 shows the fragmented data of a double-sided printed document in English. Please try to design a corresponding splicing restoration model of shredded paper and...]

in conclusion.

In fact, the difficulty of the three questions is increasing in order.

The first question is just for you to restore the shredded paper that was cut vertically on one side. The second question is to restore the shredded paper that has been cut horizontally and vertically on one side. And the third question is to discuss the shredded paper that is double-sided, cross-cut and longitudinal-cut at the same time.

What Cheng Nuo wanted was not to build a model step by step in the order of the questions, as that would be boring and uninteresting to him.

According to his philosophy, for these three questions, only one model is needed to solve three problems at the same time.

In other words, as long as the constructed mathematical model can solve the third problem, the first two problems will be solved naturally.

After having an idea in his mind, Cheng Nuo turned his head and said to the two women behind him, I'm about to start working, it's not time for dinner, don't bother me!

After finishing speaking, Cheng Nuo turned around, shook the mouse, and clicked on the software and a word document at the same time!

Modeling, programming, and thesis should have been the work of three people, but now they all fell on Cheng Nuo. This may not be an easy task for other thigh models, but it is much easier for Cheng Nuo.

Three in one, the entire team is voiced by Cheng Nuo alone, there will be no conflict of ideas at all. Besides, no one said that the three tasks cannot be carried out at the same time, right?

Just do it!

Cheng Nuo chose to start with modeling, skipping the first two questions, and proceeded directly to the modeling of the third question.

First call the software imread function to read the 24 pictures in Attachment 5, Cheng Nuo got a gray matrix ak(i, j) with 24, (k∈[1,24], i∈[1,n], j ∈ [1, m]).

Next, Cheng Nuo took out a stack of draft paper and copied the obtained grayscale matrix formula.

The next step is to use the binary method to transform the grayscale matrix. Through calculation, the binarized image w(x, y) formula can be obtained:

w(x, y) = 1, th ≤ g(x)

w(x, y)=0, th\u003eg(x)

...

Cheng Nuo maintained his high efficiency as always.

The formulas come at your fingertips as if they have been stored in your mind for a long time.

In fact, modeling this thing is not that complicated. As long as you have the right idea in your mind and a smart enough brain, it doesn't take much time to successfully build a mathematical model.

Here, Cheng Nuo lay on the computer desk, calculating carefully, while over there, the two sisters Liu Qing and Gu Feifei could really be described as boring...

Originally, the two of them wanted to get together to help Cheng Nuo, but when they saw the large string of ghost-like formulas on the paper, they stuck out their tongues and swallowed the words with self-knowledge.

Feifei, do you think the master can do it alone? Liu Qing swept the other teams in the computer room, and found that all three people got together to discuss and do it. On their side, Cheng Nuo was lying on the table alone, while the two of them were paddling.

No, they can't even count as paddling. Others paddling is still a symbolic performance, but the two of them have really become melon eaters here.

Gu Feifei replied, It should be possible. Seeing that the master is so confident, he should be confident. Besides, even if we don't win the award in the end, we have nothing to lose.

Well, that's right. Let's continue eating snacks then.

Yeah, I also brought a few bottles of Kidney Treasure to the Great God, and I will give it to him when I eat later.

After finishing speaking, the two girls who had nothing to do started to eat snacks again.

…………

Phew, since that's the case, then we'll choose question b!

I have no opinion.

No comment.

It was ten o'clock in the morning, and a team in the computer room finally decided on the topic after two hours of discussion.

As a member of this team, Qiu Qi looked around the computer room for a week, wanting to observe the progress of other teams.

Suddenly, when Qiu Qi's line of sight fell on a corner of the computer room, his line of sight stopped moving.

Qiu Qi, Qiu Qi, what's wrong with you, why are you stunned, let's discuss this topic again! one of his team members shouted to him.

Qiu Qi looked unmoved, raised his finger, and pointed in one direction, Look over there.

The man followed Qiu Qi's gaze, Hey, isn't that the team of one man and two women just now?

Yes, then look at what the two girls in that team are doing? Qiu Qi said.

The man fixed his eyes and saw Cheng Nuo sitting at the computer desk in his field of vision, lowering his head to write and draw something, which was not surprising.

The point is that the two girls are sitting side by side with a pack of spicy strips each.

On the stool in front of them, there is an ipad erected on a stand.

The two women stared intently at the ipad with relish.

With his 1.5 eyesight, if he read it correctly, what was playing on the ipad was the popular TV series of today—Fuyao!

What is this doing? ! Aren't we in a modeling competition? !

Qiu Qi and his teammate looked at each other, they were all stunned!

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