#第二章

If we are given a simple portrait puzzle, its outline is rectangular, consisting of 64 pieces of 8X8.

Then, after knowing the final picture information of the puzzle, there are roughly three ideas for the puzzle:

The first way of thinking is to solve the part first, and then piece the part and the part together, when it comes to portrait puzzles, such as piecing out the head, hands, feet, etc., and then connecting the head, hands, feet and torso together. This is the normal logical order.

The second way of thinking is the sequential method, which is deduced in one direction over and over again, such as starting from the head, to the neck, and then to the upper body......

The third is because there is already a picture in mind, and the approximate position of each tile has been virtualized on the desktop, and then the tiles in the hand can be put into it in turn, the nose is placed in the position of the nose, and the foot is placed in the position of the foot, it seems that each piece has no connection, and when all the pieces are placed, the character puzzle has been completed.

This third method of "matching the seat" is obviously a genius.

The example of a portrait puzzle is too simple, and the flat unfolding diagram of Li Fan's polyhedron is definitely not a boxy rectangle. The 34 faces that make up the polyhedron are spread out in a variety of shapes and angles.

In principle, if Li Fan hadn't been so assembled today, hundreds of millions of viewers might still be able to see this kind of operation.

Because, normal people, don't do this! Even the simplest portrait puzzle, I haven't seen anyone do the puzzle in this way, let alone a flat expansion diagram of this level of difficulty!

Then, the audience was all confused, excited, and dumbfounded in complete incomprehension!

Sun Feifei patted her chest and said, "It's amazing, there is this kind of operation!"

Doctor Chen said excitedly: "When designing this problem, I never thought that there would be such a method of assembling, this is not within the logic of normal people's thinking!"

What is the strongest brain? Therefore, I will now give you a new definition, which is to use unbelievable methods to solve complex problems, which is the strongest brain!"

Jia Yun hurriedly interrupted: "Please Doctor Chen, don't get excited, everyone be quiet first, be quiet!"

We are a relay race, the race is not yet complete, we need to immediately verify the correctness of the results for Li Fan! You have already delayed the Haha sister team for a minute!

Please ask the staff to verify the results!"

The staff entered the picture numbers into the computer in order, and the verification was completed instantly, and she said loudly: "Correct!"

Doctor Chen clenched his fist hard, and Li Fan really didn't disappoint him.

Jia Yun said: "Please pass the information of the plane unfolding diagram to the relay player Miao Miao!"

The staff handed a tablet computer to Miao Miao, and there were 34 numbers in this tablet, that is, the sum of the numbers on each of the 34 faces in the plane expansion drawing: 4, 2, 3, 5, 3......

This challenge consists of two parts: "Jigsaw Puzzle" and "Supercomputing".

The link of "Jigsaw Puzzle" that Li Fan is responsible for has been completed, and next, Miao Miao needs to relay to complete the "Supercomputing" part.

When Miao Miao took the tablet, she was instantly overjoyed, and said in her heart: I'll go, it's so simple, the numbers are basically below 5!

She quickly ran to the clipboard with her tablet in her hand, picked up the pen and began to write quickly.

Time passed quickly, and Niu Bige, who was standing beside Miao Miao, was already anxious, and he suddenly shouted at Lin Xiaofeng: "You can spell out a correct answer, you don't need the best solution, as long as your answer is correct, I can solve it for you!"

"Huh, are you sure?" said Lin Xiaofeng, puzzled.

"I'm sure, don't forget that I'm -" Niu Bige originally meant to say, "Don't forget that I have 18 national patents in my body", but after he glanced at Li Fan, who was listless not far away, he decided not to brag, he immediately changed his words, "Don't forget that I am your strongest backing!"

Lin Xiaofeng nodded affirmatively, "Okay, I'll spell out an answer as soon as possible!"

Niu Bige was shocked when he heard this, it turns out that you haven't even spelled out an answer until now, dear?

At this time, Miao Miao was very calm, and 15 minutes had passed since she received Li Fan's data.

In these 15 minutes, she had already completed the calculations and performed two checks.

She glanced at Niu Bige, who was "idle" beside her, and then noticed Lin Xiaofeng, who was busy not far away, and then forced herself to start the third inspection......

After another 2 minutes, Lin Xiaofeng finally ran to the challenge area and spelled out his answer, and after verification by the staff, a tablet computer with input data was handed over to Niu Bi Singer.

After Niu Bige glanced at the data, he was suddenly stupid:

11，9，11，12，10…… Among these data, there are only a handful of single digits, but there are basically few of the data in the group of Miao Miao that exceed 5!

Lin Xiaofeng also shook his fist at him, "You can!"

Niu Bige exhaled and said in his heart: This is enough to choke, sister!

Niu Bige just lifted the writing pen, but saw Miao Miao next to him raise his hand and said loudly: "Referee, I will complete the challenge!"

On the answer board, the answer to "≈39.375218" is impressive.

The referee said, "Please wait a moment, and we will finally reveal the answer together." ”

That's 15 minutes.

Niu Bige finally put down the pen, exhaled deeply, raised his hand and said, "I'm done!"

On the clipboard, the final answer is: ≈109.1393832

Jia Yun said: "Okay, is Niu Bige correct, or Miao Miao is correct, please ask the scientific assistant to bring the answer, and we will witness it together!"

The two scientific assistants each brought over two answer boards, Jia Yun walked in front of one of the scientific assistants first, and she said: "This is the final result of Brother Lei's team, whether the numbers in this brand can be consistent with Niu Bige's answer, please see!"

Hiss!

Jia Yun removed the answer board, and the hidden mathematics was revealed: ≈109.1393!

"Correct! Congratulations to Team Raygo, the answer is correct. Below, the life and death of the Lei Ge team fell into the hands of Miao Miao, if Miao Miao's answer was correct, because the Miao Haha sister team took less time, they would win.

Next, let's verify Miao Miao's answer, let's count down 3 words!"

The audience really cooperated and shouted in unison:

“3！”

“2！”

“1！”

Hiss!

The answer board was torn open, revealing the correct answer inside: ≈39.3752

The Haha sister team was jubilant, Miao Miao high-fived Li Fan excitedly, and shook Li Fan's arm a few times, "It's too powerful, Li Fan, you're too powerful!"

Jia Yun said: "Why is Miao Miao so excited?"

Miao Miao said convincingly: "I'm really convinced, my set of data is too good, the numbers are basically below 5, much simpler than Niu Bige's set of data, Li Fan is good!"

"That's what I'm talking about, the first round of correct answers is not important, what matters is the optimal solution of the correct answers.

Li Fan's set of data is very small, and when substituted into a specific formula, Miao Miao's calculation is not large, while Niu Bige's set of data is countless times more complicated than Miao Miao's!

This is how the relay race works together, and that's the extremely important aspect of the optimal solution. ”

Jia Yun asked, "Is this set of data of Li Fan the optimal solution?"

Doctor Chen got up and said, "First of all, I don't know if Li Fan's answer is the best solution, everyone, please look at the big screen first!"

On the big screen, countless sets of data scrolled out:

（11、5、6、2、9…… 3）

（7、6、3、9、10…… 6）

……

（9、8、8、4、11…… 5）

(Note: In brackets, all numbers are 34, because the floor plan of Li Fan's project is 34 faces, so there are 34 "numerical sums".) ）

After scrolling on the big screen for a while, Doctor Chen scanned the big screen with a remote control pen and said, "Everyone, pay attention, these countless sets of data you see are all the answers to the first link of this project, the "Jigsaw Puzzle"!"

The hall exclaimed, "Wow!"

"Oh my God!"

"How many answers do you have to have!"

……

"Some viewers asked how many sets of answers there were, okay, I'll tell you, please see," Doctor Chen clicked on the remote control pen, and a diagram appeared on the big screen, and he began to explain to the audience:

"Let's take a triangle as an example, the plane of the triangle is made up of 4 triangles, and if we put this triangle into this project, if the first triangle may be composed of 3 schemes, the second triangle can be composed of 2 schemes, the third triangle can be composed of 3 schemes, and the fourth triangle can be composed of 4 schemes.

So, the correct answer to the plane expansion of this triangle is: 3X2X3X4=72!

And the project challenged by Li Fan, everyone looks at the big screen, there are a total of 34 sides, so how many answers are there?

2X1X2X2X1X3X1…… X2 = 65,536 for a total of 65,536 answers!

There are more than 60,000 answers, imagine how difficult it is to lock the optimal solution from more than 60,000 answers, and it is by no means human!

And Li Fan's answer is not the optimal solution given by the system? Is it or not? Please see!"

Press the remote pen again, and a set of data appears on the big screen: (4,2,3,5,3...... 3）

Jia Yun picked up the tablet and said, "Now let's check Li Fan's answer with the answer to the optimal solution given by the system."

1st, 4th, correct!

2nd, 2nd, correct!

3rd, 3rd, correct!

……”

The audience was completely stupid, Yao Qian, Guo Ming, and Sun Feifei all stood up, everyone's eyes widened, and they opened their mouths one after another:

"Wow!"

"Wow!"

"Wow!"

……

(There are no other words.) ）

"The 34th, 3, correct!" Jia Yun was so excited that her eyes were red, "After verification, Li Fan's answer is completely consistent with the optimal solution given by the system! The optimal solution among more than 60,000 answers, Li Fan has done it!"

There was a "boom" in the hall, as if white water had been poured into hot oil, and it was completely boiling.

Sun Feifei covered her face: "Oh my God!"

Guo Ming crossed his feet: "Pick out the only answer out of 60,000, which is the head on Li Fan's neck, it is completely against a computer!"

The shouts and applause of the audience surged instantly.

On the side of the stage, Gu Tian slapped his face: "It's awesome, a god-like man!"

Zhang Li was stupid, "I'm afraid of explaining, the more I explain, the more I feel that Li Fan is amazing!"

Indeed, when Doctor Chen explained in detail, the audience's admiration for Li Fan rose sharply again, and the recording hall fell into a huge wave of sound.

However, there are a few people who are sober, such as Li Fan, Niu Bige, Hahamei, Lei Ge and other masters.

Doctor Chen did have a good analysis, but he only analyzed the number of correct answers to this "jigsaw puzzle", not the process of the players.

Contestants do not participate in the competition to crack the number of answers in a "multiply by few" approach. The purpose of the contestants' challenge is not to calculate how many answers there are in this project, and it has nothing to do with the contestants if you have 100 million answers in this project, the contestants only need to find the answers that meet the requirements.

Doctor Chen's analysis is also slightly exaggerated, which obviously leads the audience astray.

Li Fan hurriedly watered everyone and extinguished the fire: "Everyone, please be quiet, Doctor Chen explained correctly, but Doctor Chen hasn't finished speaking, just now Doctor Chen analyzed the number of correct answers, not the way our players compete, although the optimal solution is not so easy to find, but I am not so magical." ”

Li Fan talked about his game process again, and then the audience breathed a sigh of relief, just now everyone was frightened by the number of 60,000, it turned out that it was not like that at all.

Li Fan said suddenly: "Actually, I think the total number of correct answers for this project is not 65,536, but 65,532!"

"Oh, why?" asked Doctor Chen, confused.

"In my prop plan, the side in the lower left corner can be made up of patterns numbered 5, 89, and 133, and the middle side can be made up of patterns 89 and 342.

In other words, the pattern number 5 can be part of two of the 34 faces in the plan.

However, the pattern number 5, in numbers 1 to 400, has only one pattern, and it cannot be used twice at the same time!

Of the 65,536 answers, there must have been a set in which the number 5 pattern was used twice. But how can there be two numbers 5 in a jigsaw puzzle?"

"Well, that, I don't know much about the specific content, please check with the technical department. Doctor Chen.

The audience whispered, they didn't know if what Li Fan said was right, after all, the behemoth number "65536" just confused everyone, and everyone now doesn't know whether Li Fan is a "god" or a "god among people", but he must be a genius who is a hundred times stronger than himself!

"Finding fault with "The Strongest Brain", is he right?"

"I don't know if he's right, I'm confused. ”

"I'm confused, what are you talking about?"

……

The producers, directors, and others on the side of the stage summed it up, and then the director picked up the walkie-talkie: "Technical department, immediately verify all the answers and see if it is as Li Fan said." ”

After a while, the staff checked it and ran to the producer's side and said, "Indeed, we were negligent, and in a set of answers, the pattern numbered 5 appeared twice at the same time. ”

There was applause at the scene:

"Amazing, find fault with such a rigorous "The Strongest Brain", and it's such a subtle problem, Li Fan can!"

"It's just a competition item, and it actually shows Li Fan's ability to be so strong, it's so powerful!"

……

Doctor Chen said: "Then this is only minus 1 answer, you say 65532 kinds, then there are still three reuses?"

"Yes!"

"Which ones? Let's check. ”

"Please cut to the unfolded plan, please give me a remote control pen. ”

After Li Fan took the remote control pen, he pressed it lightly, and a beam of laser hit the big screen, "This surface and this surface can use the number 107 at the same time, and these two sides can be used at the same time 149...... Please ask the staff to verify. ”

After a while, the staff reported to the leader again, "Li Fan is completely right!"

Several leaders instantly got goosebumps, and everyone looked at each other, it was amazing!

First of all, this is a very small mistake, basically no one will pay attention to it, and secondly, Li Fan is standing on the stage and giving information directly, which shows that these mistakes are all in his head, how did he do it?

Jia Yun said: "Thank you Li Fan, you found a flaw in the show!"

Doctor Chen was going crazy, "How did you do this, how do you know that our number of 65536 is wrong? Oh my God, did you really calculate the number of answers?"

Li Fan hurriedly said: "You think too much, I watched the technical analysis on the big screen, and found that the problem of 'duplicates' was not considered in this analysis, and I found duplicates during the challenge, so it is estimated that the total number should be wrong."

Subtracting the 4 I found from the original is the answer I guessed. ”

"Oh, amazing, Li Fan is amazing!" Doctor Chen was numb in his slap, and he also comforted the frustrated Lin Xiaofeng:

"Sister, your grades are very normal, it's not that you are not excellent!"