How to break into a math book

Tu Hua looked at Sun Wei and Tang Bo in shock. No wonder they kept silent and looked anxious. It turned out that their throats had been sealed by Captain Jack!

Tu Hua forced himself to calm down, and looked back at Captain Jack coldly: "What about the rules of the game?"

杰克船长捋了捋自己的头发,突然伸手一挥,空中出现了四排发着光的扑克牌。排在第一行位置的是三张红桃牌：A、Q、4；第二行位置的是六张黑桃牌：J、8、4、2、7、3；第三行是五张梅花牌：K、Q、5、4、6；第四行是两张方片牌：A、5。

A total of 16 playing cards are neatly placed in the air.

Captain Jack continued to announce the rules: "Among the 16 cards, only one is a lucky card that allows you to pass the level. I will tell the girl the suit of this card and tell the boy the points. The two of them Everyone is only allowed to say two sentences, but they cannot directly reveal the suit or point of the card, it is up to you to guess the card.”

"If you guess correctly, you can pass the level."

A trace of cold sweat broke out on Tu Hua's forehead.He was very nervous, but he could tell that Sun Wei and Tang Bo were even more nervous.This game sounds not difficult, but in reality it requires the three of them to fully understand each other's mind and cooperate seamlessly.

During the whole process, Tu Hua didn't know anything, and Sun Wei and Tang Bo didn't know all the information. The two of them had to cooperate closely and reveal the information of the card in just two sentences, without violating the rules. case of rules.

It's very difficult.

Tu Hua carefully observed the 16 cards. Some of them had the same suit and some had the same points. Tu Hua silently classified them in his mind:

【Hearts: A, Q, 4】

【黑桃：J、8、4、2、7、3】

[Plum Blossom: K, Q, 4, 5, 6]

[Box: A, 5]

Among the cards of different suits, there are two cards at point A, which are A of hearts and A of diamonds; there are also two cards at point Q, which are Q of hearts and Q of clubs; there are three cards at point 4, which are 4 of hearts, 4 of spades and 4 of clubs; there are two 5-point cards, namely 5 of clubs and 5 of diamonds.

Tu Hua found that the points of cards of almost every suit overlapped, which meant that Sun Wei could not tell what the card was when he only knew the suit of the card, and Tang Bo could not tell what the card was when he only knew the points , it is also difficult to judge what this card is.

Unless Captain Jack lowers the difficulty of the game and chooses points that have no overlapping items in other suits.

Tu Hua looked at Tang Bo and Sun Wei. Although Captain Jack restricted the two of them from speaking, Tu Hua was still able to speak, and he could tell his two teammates what he thought: "This question is an exclusion reasoning question."

Tu Hua tried his best to express his needs clearly to Sun Wei and Tang Bo: "You can only say two sentences, so every sentence should let me get the information to be excluded. But in fact, the most important thing about this topic is not to ask me. Express how much you know, only if you know what this card is, I can understand what this card is."

"Also..." Tu Hua suddenly laughed, looking at the two with confidence, "We are teammates with the best understanding. I believe that a game of this difficulty is no problem."

Sun Wei and Tang Bo, who were originally nervous, also laughed when they heard Tu Hua's words, and the atmosphere suddenly relaxed a lot.Captain Jack seemed a little dissatisfied, and urged: "Okay, stop talking, the game is about to begin."

Captain Jack walked up to Sun Wei with an unfriendly expression, bowed his head and said something, Sun Wei immediately raised his head to look at the 16 playing cards, frowning.

Then he walked to Tang Bo's side again, and after telling Tang Bo the points, Tang Bo immediately raised his head to check the cards, also showing a tangled expression.

Captain Jack walked to the middle in satisfaction, and said to Sun Wei and Tang Bo: "Which of you two is going to talk first?"

Tang Bo stared at the card for a long time, and suddenly seemed to have figured something out, hooked his lips at Sun Wei, and raised his hand.

Captain Jack immediately released his throat.Tang Bo coughed, cleared his throat, and said in a low voice, "I don't know what this card is."

Sun Weining frowned in thought, and Tu Hua immediately analyzed Tang Bo's words.

I have to admit that Tang Bo's opening is very clever. He didn't take the card information as the main point of the discussion, but based on his own thinking and ideas.Tu Hua knew that he knew the points of the card, so as long as he said that he didn't know what the card was, Tu Hua could immediately analyze it from his point of view.

Tu Hua looked at the cards in the air. Knowing the points of the cards, Tang Bo said, "I don't know what this card is", which means that the points of the cards are not unique.

Then the points that Captain Jack told him must be the ones that overlapped with other suits in the Tuhua analysis just now.That is: one of A, Q, 4, and 5.

In this way, Tu Hua immediately narrowed the scope of judgment, the points of this card must be in this **.

When Sun Wei heard Tang Bo's words, she raised her hand with a smile. She seemed to have followed Tang Bo's rhythm. After Captain Jack unblocked her throat, she followed Tang Bo's words: "I know you don't know this card. What is it?"

Sun Wei's words are even more brilliant.

She said "I know you don't know what this card is", because the information she got was the suit of this card, since she can judge that Tang Bo doesn't know what this card is, she can prove that all the cards of this suit are Points are overlapped with other suits.

To put it simply, after Captain Jack told Sun Wei the suit of this card, Sun Wei found that all the points in the card of this suit had appeared in other suits, so even if Captain Jack told Tang Bo the points, Tang Bo would also be unable to judge what the card was because he was not sure of the suit.

For Tu Hua, this sentence cleared some barriers for him.

According to Sun Wei, this suit should be one of hearts and diamonds.Because hearts cards include: A, Q, 4, these three points overlap in diamonds, clubs and spades respectively, and A, Q, 4 just belong to the A, Q that Tu Hua just judged according to Tang Bo's words , 4, 5 these four points.

Similarly, the square cards include: A, 5, the points of these two cards have appeared in the cards of hearts and clubs respectively, and they also belong to the four points of A, Q, 4, and 5.

So far, through the first sentence of Tang Bo and Sun Wei, Tu Hua has completely narrowed the scope of this card. This card is A of Hearts, Q of Hearts, 4 of Hearts or A of Diamonds and 5 of Diamonds one of them.

And Sun Wei and Tang Bo also judged this range based on the other party's words.

After Tang Bo judged the suit of the card, he immediately understood: "Now I know what this card is."

At the end of Tang Bo's two sentences, Captain Jack sealed his throat again, but Tu Hua got further information from this sentence.

Tang Bo said that he knew this card, which proved that the points of this card were unique among the two suits of hearts and diamonds.

Because through Sun Wei's words, Tang Bo must have judged the suit of this card, whether it is a heart or a diamond, and he knows the points, he can quickly know what this card is, which proves that this card is not a heart A and square A.

In the cards of the two suits of hearts and diamonds, the points of A overlap.If A is the correct point, it is impossible for Tang Bo to judge what this card is, and he will be caught in the choice between the A of Hearts and the A of Diamonds.

Therefore, according to Tang Bo's words, Tu Hua narrowed down the scope of this card again, that is, this card must be one of the Queen of Hearts, 4 of Hearts or 5 of Diamonds.

After hearing Tang Bo's words, Sun Wei looked at Tu Hua confidently: "I also know what this card is."

Tu Hua was taken aback for a moment, and understood instantly.

Captain Jack walked up to Tu Hua and leaned over to stare at him: "What about you? Do you know what this card is?"

Tu Hua smiled and said, "Five squares."

Captain Jack was stunned: "How...how is it possible?"

Tu Hua looked at his two teammates who cooperated tacitly with satisfaction, and it was indeed a very happy thing to cooperate with smart people.Tang Bo and Sun Wei are very smart. They know that if they explain suits and points intuitively, they may violate the rules and even cause Tuhua to make mistakes in judgment.

But the known condition of this question is that Captain Jack will tell the two of them the suits and points of the cards respectively, and Tu Hua also knows this, so he can analyze it from the perspective of Sun Wei and Tang Bo, so as long as the two of them Knowing what this card is, Tu Hua reasoned it out naturally.

Tu Hua stepped forward, grabbed Tang Bo and Sun Wei, and looked at Captain Jack with a smile: "How is it impossible? We are the most tacit teammates."

"When you were on the boat, you tried to use your only chance of survival to sow discord, but what you didn't expect was that we would give in to each other." Tu Hua snorted, "In our opinion, friendship and fairness are far more important than those temptations We respect each other and love this team, so even if Wang Boyu is locked up by you, we can still work together to rescue him."

"Because we are a collective, everyone is the most important part, everyone ... knows each other's heart."

Captain Jack frowned, seeming a little puzzled: "How do you know it's a 5 of cubes? They didn't reveal anything about what they said?"

Tu Hua smiled: "In the first three rounds, I have locked the range of this card to one of the Queen of Hearts, 4 of Hearts, or 5 of Diamonds. Sun Wei said at this time that she also knows what this card is. , which proves that according to Tang Bo's words, she can determine the points of this card."

"Because Sun Wei knew the suit of this card, after hearing Tang Bo's words, she also locked the range of cards to Queen of Hearts, 4 of Hearts and 5 of Diamonds. And she quickly determined this card, It proves that there is only one possible point for the suit she knows at this time."

"If the suit is hearts, she is not sure whether it is a queen of hearts or a four of hearts. Only when the suit is diamonds can she make such a decisive decision."

Tu Hua reached into the air, picked up the 5 of diamonds, and said to Captain Jack, "Can we pass the level?"