Chapter 064: Calculating Ji

The game is clearly designed, and the questioner sets some conditions and traps.

A large number of calculations need to be completed quickly in a short period of time.

If the time is extended to 10 minutes, most poker enthusiasts will be able to figure out the outcome.

But the young students in the math camp only have a dozen seconds, no pen, no paper and no computer, and their only tools are their brains and sensitivity to numbers.

"Wait a minute, give me some more time, and I'll be able to figure it out. Zhou Yu'an's forehead was covered with sweat, and it cost him a lot of brain cells to quickly calculate the victory or loss of this landlord game.

"Next question!" Sun Erxiong waved his hand, and a new question swiped out on the screen.

"Damn. "Zhou Yu'an is halfway through the calculation, there is wood, all wood is there.

Entering the mathematics major test, the pace of answering questions is too fast, and students are not given time to reminisce at all.

Shen Qi rubbed his temples and stared at the projection screen in front of him with round eyes.

The second question reads: "Hypothetical scenario: There are five prisoners in the cell, and their uniforms are numbered 1-5. ”

"The warden took the five prisoners to the gallows and said, "I will play a game with you, and the winner of you will be released immediately, and the loser will be executed on the spot." ”

"There are 100 beans in this sack, and the rules of the game are that you take turns to catch beans in the sack in order of number 1 to 5, and each person can only catch them once, at least one bean at a time. ”

"Listen, whoever catches the most and least beans will be put to death on the spot. The rest left alive. ”

"You are not allowed to communicate with each other, not even eye contact. However, when you touch the beans, you are allowed to feel the number of beans left in the sack. ”

"It is not necessary to divide all 100 beans, and if there is a tie for the largest or the smallest, the tie will be executed together. ”

The topic is gone here.

The atmosphere in the classroom was extremely tense, and after the first math test question, all the students understood that they only had a few seconds to quickly read and understand the questions.

After Shen Qi finished reviewing the question, he already had a sense of proportion in his heart.

This question is similar to the IMO logic problem, it is not a simple numerical calculation, in fact, the part of numerical calculation is very simple, and the difficult part is logical reasoning.

Instructor Sun gave a scenario hypothesis but did not ask questions yet, and Shen Qi guessed that the question was probably which of the five prisoners had the highest survival rate?

"Ladies and gentlemen, here you are, here are the questions, please be prepared. Ten seconds later, Sun Erxiong broke the silence, "These five prisoners are all smart people, and their principle is to save their lives first and then harm the other prisoners. So who of the five prisoners has the highest chance of getting out of the cell alive? I'll give you another ten seconds to think. ”

Ten seconds passed quickly.

Sun Erxiong said hurriedly: "Please raise your hand!"

Brush!

Brush!

There was no doubt this time, Shen Qi was the first to raise his hand.

The second one to raise his hand was Zhou Yu'an, who was a second or two slower than Shen Qi, and the instructor and assistant could clearly distinguish it with the naked eye.

After all, Zhou Yu'an is a regular player who has been selected for the Olympic national team, and he won the individual gold medal at IMO, although it is not a perfect gold medal, but his logical ability is also relatively good.

"Lean on ......" Zhou Yu'an sat next to Shen Qi, and he could see that he raised his hand slower than Shen Qi.

Shen Qi raised his right arm and glanced at Ou Ye, who had answered the first question correctly.

Ou Ye's thin eyebrows tightened, and he did not raise his hand.

"Shen Qi, please give your answer, which of the five prisoners has the highest probability of survival?" Sun Erxiong looked at Shen Qi.

Shen Qi said with confidence: "My answer is that prisoners 1, 2 and 3 have the highest probability of leaving alive. In fact, it is not fair to draw lots in this order, but what is the fairness in the prison? ”

"Then Shen Qi, what is your basis?" Sun Erxiong said noncommittally.

Shen Qi explained: "All prisoners are smart people, and their principle is to save their lives first and then kill others, so prisoners No. 1, No. 2, and No. 3 all caught 17 beans, and they have the greatest hope of survival." No. 4 and No. 5 are the backs, and there is no way to do it if the life is not good. ”

"Yes, Shen Qi scored 10 points, and everyone else scored 0 points. Sun Erxiong affirmed and asked the other students: "Do you understand Shen Qi's logic?"

"Oh, that's right. ”

"Yes, that's it. ”

"Give me another minute and I'll be able to deduce it. ”

The students of the math camp are all smart people, Shen Qi threw out the introduction, and they understood it in seconds.

"Ahhh Zhou Yu'an thumped his chest.

"Zhou Yu'an, you are a complaining robot. Shen Qi massaged the eyelid area and adjusted it slightly.

"So far, Shen Qi and Ou Ye have scored 10 points each, let's move on to the next question. Sun Erxiong didn't give the students time to rest.

A question was updated on the projection screen: "There are 2 horses, 3 cows and 4 sheep today, and the total price of each of them is less than 10,000 yuan." If 2 horses plus 1 cow, or 3 cows plus 1 sheep, or 4 sheep plus 1 horse, then the total price of each of them is exactly 10,000 yuan. Q: How much is the unit price of horses, cattle and sheep?

it?

It's a very, very simple question.

Compared with the first two questions, the third question was so simple that Shen Qi couldn't even believe what he was seeing.

"The question has been released, please raise your hand and answer it immediately!" Sun Erxiong said as if urging.

Brush!

Brush Brush Brush!

More than a dozen arms were raised one after another.

This problem is actually to list a system of ternary equations, let the unit prices of horses, cows, and sheep be x, y, and z, and then mentally calculate the values of x, y, and z.

This question is not a comparison of mathematical knowledge reserves, nor is it the logical reasoning ability of nine twists and eighteen bends.

It is the purest numerical calculation, and arithmetic is a part of mathematics, the most basic part.

If there is enough time, junior high school students can also calculate the values of x, y, and z.

Calculating the result in a few seconds is more than the ability to calculate quickly.

Shen Qi was distracted and raised his hand slowly.

At least ten people raised their hands before him.

Ou Ye was the first to raise his hand, asking Ou Ye to answer. Sun Erxiong said, and then glanced at his assistant: "Xiao Qian, who did you observe raising his hand first?"

Ou Ye was the first to raise his hand, Zhou Yu'an was second, Wang Sheng was third, and the latter was not remembered. The assistant replied with a small amount of money.

After confirming, Sun Erxiong said, "Ou Ye, please give your answer." ”

Ou Ye's speed of speech was not slow: "Three thousand six horses, two thousand eight cows, and one thousand six sheep." ”

Sun Erxiong: "If the answer is correct, Ou Ye will score another 10 points!"

The rest of the students did not have any objection to this set of answers, and they mentally calculated the same result, but the calculation speed was a little slower.

"Ouye, this girl has scored 20 points! and I still have 0 points, I feel sorry for myself. Zhou Yu'an complained to himself.

Shen Qi, who is currently ranked second with 10 points, said: "According to my observation, Ouye's comprehensive logical ability is estimated to be average, but her calculation power is very strong and her response is very fast. ”

Zhou Yu'an: "Shen Qi, you have met an opponent, Ou Ye's sister is actually a calculating concubine." ”