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Chapter 48: Mice Through Walls

Wang Duandao:

"This question was recorded in the ancient "Nine Chapters of Arithmetic". I believe everyone has seen it. I have slightly changed it... The wall is a thousand feet thick, and two rats penetrate each other. The rats go one foot a day, and then they doubled every day. The mice go one foot a day, and then they doubled every day. When will the two rats meet and how many will they go?"

As soon as the words were finished, chopsticks were ringing. Many students or Chinese officials used their chopstick heads to dip tea, wine, and soup to calculate on the table.

Many people have seen the question, but in the original question, the thickness of the wall is only five feet, which can be calculated step by step.

For example, the big mouse wears one foot a day in the first day, two feet a day on the second day, and four feet a day on the third day. The more you fight, the more brave the fight becomes. The little mouse pretends to actively deceive the boss on the first day, and also wears one foot a foot. The next day, the second day, the half foot is worn by half a foot, and the third day is only one-quarter foot, so I am too lazy to move.

There is no doubt that the two mice will meet on the third day.

The evil thing about Wang Duan is that he changed the short five feet to a long thousand feet. By step-by-step derivation, the calculation amount is very vast. What's more, when will we meet, not when will we meet? Then, we must be accurate to hours, minutes, seconds, and the difficulty suddenly increased by several steps. As for how many two rats entered each, it is simple. If we calculate the time, we will know the progress.

After one minute, no one answered.

Two minutes later, some of the students gave up and looked around in confusion. The officials of the Imperial Heaven Supervision pinched their fingers anxiously, not knowing whether they were imitating the little mouse to pretend or were really calculating.

Wang Duan sneered.

Officials from Zhou State showed a gloomy face and deliberately toasted each other loudly.

A muttered: "I, a child from Zhou Guo, can calculate this question, and you can just pull any one on the street..."

Another said: "Oh, we can't blame them. The world is so slim, so people will naturally be stupid. Thousands of years ago this place was a wilderness, otherwise how could there be zero spiritual roots?..."

"I heard that their farmers never have more than five sheep, so I'm afraid they can't count them if they have more than one slap."

"It's fake, don't you have a hand?"

"I have a stupid hand and I have to hold a sheep whip."

"Hahaha……"

The voice was deliberately pretending to be very depressing, but it was not too big or small, which happened to be heard by everyone.

The students were blushing, and the Chinese officials lowered their heads to study the placement of chopsticks. The Minister of Rites He Lang had a very beautiful face, and the Imperial Heavenly Supervisor Hu Li was angry and his eyes were wide open, all on the verge of going wild.

What is inconsistent is that the stupid young master Dong Shu walked leisurely among the six students. He "smacked" a piece of meat, "scratched" a sip of wine, and hummed a vulgar tune in his mouth.

"Two rats, two rats, run fast, run fast. One has no tail and the other has no ears. It's so strange, it's so strange..."

Wow...

She couldn't sit upright and stared at Dong Shumin, who was busy eating and drinking in Xintianyou, and hit the table with a palm. Today she was emotionally unstable and loved to slap the table.

"Xiao Shu, how do I teach you mathematics? Tell me quickly, how much is it?"

Ah, Miss Dong teaches mathematics? Mr. Hu, who knows the truth, was stunned and shook his head hard to wake him up to prove that he was not drunk.

Someone shivered in fear and said without hesitation:

"The encounter time was 22:49:42 on the tenth day. The big mouse advanced 998 feet and the little mouse advanced 2 feet."

Xin Tianyou didn’t know whether the title was modified by Wang Duan or the algorithm left behind in ancient texts.

According to his understanding, the current level of arithmetics in the world is only equivalent to that of junior high school 10,000 years ago. To perfectly solve the problem, you must use the high school sequence to sum it. That is, the advance distance of the rat is a doubling sequence, and the advance distance of the mouse is a doubling sequence. Solve unknown terms and solve the equation, and you can get the result in a few tens of seconds. If you rely on hard push step by step, it will take at least several hours.

No way?

Everyone raised their heads together, as if the eel poked out of the water tank and inhaled, staring at Wang Duan.

Even the people from the Zhou Kingdom mission were no exception.

They were told the answer in advance, but they didn't know how to calculate it. Lord Wang was not only the Minister of Rites, but also the great master of calculation. Lian Xiaoshui Sword School had to ask him for advice on repairing palaces, magic circles, and subtle aspects.

Wang Duan stood up suddenly and shook the table.

The man in his fifties suddenly burst into fanaticism. He stopped a little, and then spoke after drinking a glass of strong wine, his voice was cold.

"Young Master Dong is a real god! Please explain how it was calculated."

Miss Dong smiled "hehe" and said:

"What's this? I'll teach him."

Wang Duan glanced at her and ignored her. In fact, no one believed it.

The young man who was busy eating meat and drinking still did not turn around and said:

"What's so strange about this? When I saw the title of "Nine Chapters of Arithmetic", I thought about how to wear ten feet, hundreds of feet thick, and thousands of feet thick. After a whole month of busyness, I have been calculating it until ten thousand feet. Of course I know."

Wow, what is a month?

When everyone heard this, they almost fainted.

Only stupid people are willing to do such stupid things. The blind cat met a dead mouse. After a while, the Zhou people did not win, and the Chinese people did not lose, so they could barely be considered a draw.

The spirit in Wang Duan's eyes gradually disappeared, and he gritted his teeth and said unwillingly:

"Mr. Wang has another question, please listen carefully to Mr. Dong. The radius of the three balls is one, and they are placed close to each other. A ball of the same size is placed on it. Ask, how high is the ball above the ball?"

As soon as you hear the question, you make your head turn into a ball of paste. Are you playing with the ball?

The key to solving the problem is how deep the depression formed by the upper ball hitting the lower three balls. Not only is it unimaginable, but it also makes a calculation that dog bites a hedgehog and doesn't know where to go.

The chopsticks holding the steamed deer tail stopped, and Xin Tianyou sounded a strong alarm in his heart.

The situation is wrong.

This is an Olympic competition question that was ten thousand years ago. It is extremely difficult for ordinary high school students to solve, and even college students may not solve it. It is necessary to use space to analyze geometry, twist the twists and twists and turns to draw many auxiliary lines, and build castles and build many complex models.

He was only ten years old to solve a similar question, and it took only nine seconds, and it was even more difficult. Ask how big a small ball could he put in between four large balls, or how many small beads had a radius?

Xin Tianyou looked at this math problem from a physical perspective.

The geometric center of a homogeneous symmetric object is the physical center, and the center of the ball is the center of mass. Consider the four large balls as a whole, and use the lever principle to quickly find the center of mass. Its plane formed by the three centers below is one, and the distance from the center of the ball above is three. According to the principle of symmetry, the center of the ball of the ball is the center of mass of the cone composed of four large balls. At this point, with the tetrahedral formula, junior high school students can mentally calculate the answer.

Not only that, he often uses macroscopic theory to solve microscopic problems, uses microscopic theory to explain the universe, and allows irrelevant disciplines to verify the answers...

For example, when calculating complex motions, the principle of "equivalence of acceleration field and gravitational field" in general relativity is used to combine vector arrows of external forces, acceleration, electromagnetic, centrifugal, gravity, etc. into one.

So, everything returned to the clan and everything became simple.

These methods of rebelling against the Tao and leaving the scriptures and whimsical ideas made the messenger silent for three days and three nights.

Afterwards, the domineering teacher adjusted his teaching direction, from the "Hundred Flowers Kill" of physical training to the "scientific thinking" of theoretical training. Until the end, he forced the poor students to create the "gate of time and space".

Judging from all the public historical materials at the foot of the mountain, the history after the mid-Ming Dynasty was gone and seemed to have been torn off by an invisible giant hand.

That gap started with the Renaissance where science was sprouted...

So, where did Wang Duan get this question?—

This chapter is a little brain-burning, and is a memory of my teenager.

I miss the wild and innocent boy who was 15 years old who taught himself "Calculus" and "Ordinary Physics", played basketball, practiced martial arts, wrote poetry...walked in the rainstorm and played singing, wild and simple.

If you meet me as a teenager, please take him home!
Chapter completed!
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