How to break into a math book

Although the person in front of him had a playful expression on his face, Tu Hua understood that if he really didn't follow what he said, he would not be able to get the prompt information at all.After all, according to the usual rules of the system, the prompt information of the level can only be obtained by answering the questions correctly or winning in a certain game.

In his match against this blonde NPC, he did lose. Even if the NPC doesn't give him a hint, it's only natural.

Perhaps it was because this NPC was pretended by Su Gechi, so he could be given another chance after he had already lost the bet.

Tu Hua stared at the blond man's face nervously. Although this man was extremely handsome, it was not easy to kiss him casually. What's more, he knew that Su Gechi's soul was behind it. shy.

The person on the opposite side saw that he was still not moving, so he moved closer and touched his face lightly with the tip of his nose: "What's the matter? Are you unwilling to accept this condition?"

Tu Hua's face turned red, she lowered her eyes and dared not look at him: "No...no."

Su Gechi chuckled: "Then you are... shy?"

Tu Hua wished he could find a crack in the ground and get in.First kiss!The crowd!Why does this person have to say embarrassing things so obviously!

Tu Hua confronted him bravely, pursed his lips and said, "I...I didn't!"

Su Gechi's eyes suddenly became darker, one hand rested on Tu Hua's shoulder, the other lightly stroked his cheek, his fiery eyes stayed on his lips: "I originally wanted you to take the initiative, but ...I can't help it now, what should I do?"

While Tu Hua was in a daze, Su Gechi's face moved closer and closer, and a pair of warm lips suddenly pressed against him.Seeing that Tu Hua was still in a daze, Su Gechi reached out to cover his eyes, and pulled him closer to his body with the other hand: "Why, don't you close your eyes?"

He closed his eyes tightly like a conditioned reflex, and the next feeling was like floating on clouds.A wave of heat surged up in his heart, and then rose up at the moment of explosion of joy, Tu Hua felt that he was like a small boat rippling in the waves, unable to control the direction by himself, he could only let the waves beat him.

But this feeling of catharsis and indulgence in the waves... seems to be okay.

After an unknown amount of time, Su Gechi finally let him go.Tu Hua only felt dizzy, looked at the person in front of him in a daze, and wanted to lean on him softly.And the person in front of him was not as calm and calm as before, a blush flashed across his handsome side face.

He gently hugged Tu Hua, leaned into his ear and said, "Your teammates are watching you."

Tu Hua shuddered suddenly, quickly got up from Su Gechi, looked around only to find that everyone was doing their own things, no one noticed what happened in their corner at all.

Su Gechi had a triumphant smile on his face: "Tom told me last night that M will appear in the first two digits of the password, and the rest of the information... you can find someone else."

Tu Hua rubbed his cheeks that were still hot, and hurriedly met up with two other teammates.

Shen Siyi and Sun Wei had already received two notification messages, and they were so busy that they didn't even notice what happened to Tu Hua.They got two password-related hints from a man and a woman respectively: "K and L are adjacent, and K is in front of L; N is behind K."

That is to say, they have obtained four of the five password box messages left by Tom, which are: "O is neither the first nor the last; M appears in the first two places; K and L are adjacent, and K is in front of L; N Behind K."

The password to unlock the lockbox is composed of five English letters. The bartender reminded them that the five letters are M, O, L, K, and N, and they need to judge the order of the password based on these prompts before they can open the lockbox. .

First of all, according to the information that "M appears in the first two digits", the five-digit password can be roughly divided into two types: XMXXX or MXXXX, because for the letter M, it can only appear in the first or second digit .

Secondly, according to the hint "K is adjacent to L, and K is behind L", it can be inferred that K and L must appear in the combination of "KL".

Moreover, "N is behind K", and L and K are adjacent, which proves that the three letters N, K, and L will at least appear in the form of KLN, and there is likely to be a gap between L and N. There are other letters.

Therefore, under these three conditions, the possible combinations of the five-digit password are: X, M, K, L, N, M, K, L, N, X, M, X, K, L, N Or M, K, L, X, N.

And the last unknown letter X in the combination is O. According to the prompt message "O is neither the first nor the last", it is easy to rule out two wrong answers, so there are only two possible correct sorting methods: M, K, L , O, N or M, O, K, L, N.

Only by finding the last hint can they find the correct answer between the two possibilities.

The last person who has the password information is sitting next to the bar. This person looks very thin, with thick black-rimmed glasses on his face, holding banknotes in his hand, as if he is writing something.

Writing in a bar?This man is indeed very strange.The three of Tu Hua walked over, patted the man on the shoulder and said, "Sir, we want to ask you something..."

The man didn't lift his head, and buried his head in writing: "Don't bother me, until I find out the problem... I can't think of anything!"

Tu Hua narrowed his eyes and looked at the paper full of calculations in his hand: "What's the problem?"

"You won't understand after I say it..." The man scratched his head, his tone impatient, "I thought I was about to make an amazing discovery, but I accidentally walked into a misunderstanding, and now I have to get out of the misunderstanding ..."

Tu Hua poked his head over to look at what he wrote on the paper, and vaguely saw the words on the last line: "So 1=2."

"Are you doing a proof?" Tu Hua was surprised, "Are you proving... 1=2?"

The man finally raised his head. Long-term myopia made his eyes look deformed, but there was a desire for truth and knowledge in these eyes: "I think my proof is right, but it is against the truth and facts." ..."

He handed over the paper in his hand: "I don't know where I am wrong... Or, I am not wrong, is the truth producing falsehood?"

Tu Hua glanced at the problem-solving process on the paper, looked at him and said, "If we can help you find the crux, can you tell us what Tom said to you last night?"

The man nodded: "As long as you can rescue me from the mystery, I will definitely tell you everything I know!"

Tu Hua, Shen Siyi, and Sun Wei looked at each other, and hurriedly got together to study the problem-solving process on this piece of paper.

It seems that this strange person in front of him seems to want to prove "1=2", and the proof process he wrote down on paper seems to have nothing to refute.

Assumption: a=b, and a>0, b>0

Prove:

(1) Because a>0, b>0

(2) And because a=b

(3) So a×b=b×b=b^2

(4) So a×b—a^2=b^2—a^2

(5) So a(b—a)=(ba)×(b—a)

(6) So a=(ba)

(7) And because a=b

(8) So a=2a

(9) So 1=2

I don't know if Shen Siyi and Sun Wei have any clues, but Tu Hua can't see any problem with this kind of pure theory anyway.Whether it is a hypothesis or a proof, every step seems reasonable. Seeing the last step, Tu Hua wanted to admit the false proposition that 1 and 2 are equal.

But Xueba is Xueba after all, Shen Siyi and Sun Wei quickly began to analyze the proof process of this question: "His proof process, steps 1 to 3 are no problem."

孙维拿着笔在纸上记录着：“第4步也没有问题，但是从ab-a^2=b^2-a^2这一步到第5步的分解过程……”

Shen Siyi frowned and said: "There is no problem in the decomposition, the problem lies in the reduction and simplification of steps 5 to 6."

"From the fifth step a(b—a)=(ba)×(b—a) to the sixth step a=(ba), he reduced the formula and removed 'b from both sides of the equal sign. -a'. But in fact, it has been stipulated in the assumption that a and b are equal, which proves that ba=0, and 0 cannot be a divisor."

"That is to say, in the fifth step, he cannot perform ba reduction on both sides of the equation."

After Shen Siyi's analysis, Tu Hua also understood that this seemingly impeccable proof process is actually an attempt to use complicated letter relationships to cover up the originally obvious and clear number relationships. If this proof question does not assume ab, just use Precise numbers replace letters, and such fallacies are bound to not arise.

The man with glasses finally understood after hearing Shen Siyi's analysis, and said excitedly: "You guys are so amazing! I've been thinking about it for a whole day and I still can't figure it out!"

Shen Siyi nodded modestly: "Can you tell us what Tom told you now?"

"Tom told me that the restriction of the password is: unless the L and the O are next to each other, the N cannot be the last digit."

Tu Hua quickly compared the analysis results they had obtained based on the four prompts, and they got two possibilities, namely M, K, L, O, N or M, O, K, L, N.

According to the last restriction, if N wants to be in the last position, the two letters L and O must be adjacent.In the two cases analyzed by them, N is in the last place. Obviously, only the sorting method of M, K, L, O, and N is eligible.

So M, K, L, O, N is the correct order of the password!

The three rushed to the bar excitedly, took the combination box left by Tom from the bartender, and pressed the five letters on the roller of the combination lock.

With a "click", the lock opened.

There is a letter in the box, and Tom's fear is revealed between the lines:

"I just came for a drink, but I had to see the most terrifying scene! How I regret that I was sitting by the window, and how I regretted looking out of the window! Those two figures floated into the Oma mansion like ghosts, and more than ten Minutes later, screams were heard from the Omar mansion."

"The police blocked the street and detectives came to investigate but I can't name the two men, they are horrible, they will come to revenge on me!"

"I can only leave a few clues here. I hope that the detective who can investigate here is a smart man and find the murderer who killed Mr. Omar as soon as possible."

On the back of the letter was written a line of red words: One of the two murderers was wearing a black leather jacket. He was either Bill or Allen, but I'm sure that only one of Bill and Allen had been to the Oma Mansion.