Game Design: Is that okay, CaiGou?

Chapter 357 My World: A Battle for the Nine Tripod Badges (Subscription Request)
The first class of the cyber postgraduate entrance examination tutor Liuliu, the "Minecraft Cyber ​​Architecture" series of courses has ended.

Homework that Ke Liuliu can assign:

In my world, the question of how many squares of farmland can be irrigated with one bucket of water has sparked a nationwide discussion.

A large number of players who have watched the "Minecraft Cyber ​​Architecture" series of courses are all thinking about this seemingly simple question. They are discussing it among players in their respective social circles. As a result, the number of players paying attention to this issue has increased exponentially in a short period of time.

Taipingdao Community, the chat section of Minecraft.

The Yellow Turban Army of various factions gathered here to exchange ideas and opinions, and finally reached a unified understanding.

Regarding the question of [In Minecraft, how many squares of farmland can be irrigated with a bucket of water], which faction gave the stronger answer?

Then in the subsequent fourth Yellow Turban Faction War, other Yellow Turban factions will automatically cede community land and surrender to the winner, paying land and compensation, allowing that faction to obtain the Nine Tripod Badge with an overwhelming advantage.

Today, the Nine Tripod Badge has become the obsession of Yellow Turban Army players. After all, any faction that obtains the Nine Tripod Badge can request a customized game from General Tiangong.

However, as the number of games released by Taipingdao increases, there are now more than 30 community sections, with many warlords fighting for power. It is too difficult to unify the Central Plains.

Fighting among the party has led to no result, so it would be better for everyone to take a step back.

Therefore, the leaders of the major factions of the Yellow Turban Army decided to use the question raised by Liu Liu to determine the winner.

In this way, this problem is no longer just a homework, its importance has suddenly risen to the level of the Nine Ding Badge and customized games.

When the agreement known as the Yellow Turban Agreement became known to players, the entire gaming community fell into madness again.

There are big guys from all walks of life among the player community, and a mere problem cannot stump any hero in the world.

All the major factions reached a consensus, and within half an hour, the reformist elder Cheese Snow Leopard took the lead and posted a Weibo on the reformist official Weibo, firing the first shot in Minecraft's bucket of water.

"Hello everyone, I'm Cheese Snow Leopard. This kind of hard-core problem has always been the weak point of our reformists. In this case, let us reformists take the lead in throwing out some ideas."

"As we all know, in my world, one water grid can irrigate how many grids of land. The most standard and mainstream answer is that one water grid can irrigate 9 grids of land [9x1-80]."

"But don't forget that one water source can extend 7 blocks. When we dig 7 blocks outward on both sides of the water source, both sides count as 14 blocks, plus the water source itself, a total of 15 blocks. In this way, the water sources on both sides can irrigate [(15+8)x9-15], which is 192 blocks of farmland."

“如果我们再将水流进行十字延伸，这样湿润的土地面积，等于【23x23-（14+14+1）-（7x7x4）】也就是304格。”

"With my current abilities and problem-solving ideas, I can only go this far. If you have other ideas, you are welcome to post them on Weibo."

As soon as the cheese snow leopard appeared, the upper limit of 80 grids was raised to 304 grids, which was amazing.

"Awesome——"

"Reform, reform, reform, reform only me!"

"Great! Cheese Snow Leopard is still as skilled as ever, and is worthy of being a famous general of our reformists!"

"Hahahaha, we, the Reformists, took the lead first! I'm proud!"

After the reformists made their move, other factions could no longer sit still and decided to take action.

More than half an hour later.

Prince Furong, one of the 36 former conservative presidents and currently one of the 72 elders of the Steamed Dumpling Sect, posted his answer on the official Weibo account of the Steamed Dumpling Sect.

"Hello everyone, I am Prince Furong. As everyone knows, Cheese Snow Leopard and I are old enemies. Cheese Snow Leopard has already made a move, so there is no reason for me not to accept it."

"I admit that Cheese Snow Leopard's solution to the problem is quite good on a flat surface, but don't forget that in my world, water can flow."

"When we add the fact that water can flow, our approach to solving the problem will be completely different, and the amount of land we can irrigate can easily surpass Cheese Snow Leopard."

Prince Furong manipulated Steve to build a cube column that was only one block in size but reached the sky.

Then, Prince Furong built four square strips parallel to the ground in the sky, with the square column as the center, in the four directions of southeast, northwest, and northeast. When viewed from the sky, this strange flat building appeared in the shape of an [x].

Prince Furong poured water directly on the center of the square column. The water flowed slowly and gradually spread to the four directions of east, south, west and north.

Then, Prince Furong spread mud blocks around the four squares, completing the shape of the [x] into a square with four corners missing.

The water remaining in the square strips gradually spreads to the surrounding mud blocks and eventually successfully irrigates all the cultivated land.

Prince Furong waved his hand and demonstrated to everyone: "In this way, one grid of water can irrigate 160 grids of farmland. But my solution is far from over."

"I will now knock out a block below the center of the water source, and the water will continue to flow downwards. I will continue to build blocks around this location and lay down dirt blocks."

"In this way, one block of water nourishes 384 blocks!"

But before anyone could come to their senses, Prince Furong continued, "Is this my limit? No, it's far from over."

"Everyone, let's knock down the blocks under the water source again to let the water flow downwards, and then we will lay down the dirt blocks from below."

"As you can see, the water flowing downwards can also nourish farmland. Now one grid of water nourishes 768 grids of farmland."

These scenes, displayed in front of the players, made the viewers exclaim that there was something interesting.

The players of the Steamed Dumpling Sect were very excited and waved flags and cheered.

"Keep the old ways, and achieve success!"

"This is another peak showdown between Cheese Snow Leopard and Prince Hibiscus after the Words Come True competition!"

"Fuck, it's getting exciting! The answer has soared to 768 pieces of land again, there's something!"

"Yeah, why didn't I think of that? However, based on the flow characteristics of water, 768 grids is obviously not the final answer."

"I have an idea. I've thought of something even more awesome. Let me try it out!"

"No, you hardcore guys are all out? Are you serious this time?"

Cheese Snow Leopard and Prince Hibiscus made their moves one after another, and in just two rounds, the answer to this question soared from 80 squares to 768 squares.

It’s unimaginable!
But in less than five minutes, Xiang Xianchong, the leader of the factionless group, posted on Weibo.

"According to the property of water being able to flow, water can flow downwards infinitely, so one grid of water can not only irrigate farmland on the same plane, but also irrigate downwards."

"We can apply the plan for flat farmland to the three-dimensional farmland, and add one more condition. The normal height in my world is 255 grids, which means that one grid of water can irrigate 20480 pieces of land."

Xiang Xianchong was obviously the one who started thinking about the answer to the question as soon as the major factions of the Yellow Turban Army reached a consensus.

Although he was slower than Cheese Snow Leopard and Prince Furong in posting on Weibo, Xiang Xianchong's final answer suddenly increased to 768 squares based on Prince Furong's 20480 squares.

This almost crazy number made countless players exclaim in awe.

The question of how many squares of land can be irrigated with one square of water in Minecraft also became a hot search in a short period of time, attracting countless people to Weibo to observe the answers of the masters. "No, it's only been three rounds, and the answer has soared from 80 squares to 20480 squares? Is it really that exaggerated?"

"People without factions are the most awesome! Boss Xiang Xianchong is worthy of being Boss Xiang Xianchong, I am convinced!"

"Hahahahahaha, what cheese snow leopard, what Prince Hibiscus, they are all trash in front of our boss Xiang Xianchong."

No one expected that this was just an assignment given by Cyber ​​​​Postgraduate Entrance Examination tutor Liuliu after class, but it actually triggered a heated discussion across the entire network.

Especially when Xiang Xianchong, the soul figure of the factionless group, pushed the answer to the peak of 20480 grids.

Many top experts immediately discovered the flaws in this solution and the room for optimization.

After a large number of players raced against time, three hours passed and it was already evening.

Just when ordinary players thought that 20480 was the final answer, [Abstract will ruin the country, hardcore will make it prosperous], one of the elders of the Zhengjiao Sect, stood up.

"Hahahaha, there are so many heroes in the world, but the Nine Tripod Badge must belong to us."

"According to Xiang Xianchong's algorithm, it can reach 20480 grids. Don't forget, Cheese Snow Leopard also said that water can be extended on a plane. So the three-dimensional farmland model can be further optimized."

"From there, I used the Manhattan distance formula, which is a measure of the distance between two points on a plane."

"Since you can only move in the horizontal and vertical directions, the shortest path through the grid lines is the Manhattan distance."

“For two points A(x1, y1) and B(x2, y2) on the plane, the Manhattan distance between them (denoted as d(A, B)) can be calculated by the following formula: d(A, B)=|x1 - x2|+|y1 - y2|.”

"Using the Manhattan distance formula, we can conclude that if we want water to spread as widely as possible on a horizontal plane, the shape of the entire flat farmland should be a rhombus."

"Based on the area of ​​this flat farmland, we made the 255-block-high three-dimensional farmland model take a [Z] shape, turning one block of water into multiple water columns, and finally we can get a pyramid-shaped structure."

"Through simple calculations, we can conclude that one grid of water can irrigate 5000 million grids of arable land."

Player: "..."

Water friend: "..."

no--

What is the Manhattan distance formula?
What does simple calculation mean?

What does it mean to irrigate 50 million acres of arable land?

Your mother's kiss, fifty million, a full fifty million!

It has soared from 80 square meters at the beginning to million square meters today!
Boss, isn't this result a bit too exaggerated?

"I'm so tired. Is this the difference between me and the big guys? You big guys are losing a lot by letting you guys get this game for free!"

"No, I thought this game wasn't hardcore at all, but it turns out that Minecraft is a hardcore game?"

"This game has been played by you big guys to the point where I can't even reach it."

"Damn it, how could it be so powerful!?"

The conclusion that [abstract will ruin a country, while hardcore will make it prosperous], once released, pushed my world to a climax.

One night passed, and no one from other major factions came to fight, as if this was the final answer, and they were about to celebrate.

At 9:30 the next morning, Satellite, the leader of the Reformist Knights, posted on Weibo, announcing that 50 million was far from the final answer.

"There's no reason to let the Steamed Dumpling Sect take the cake. The Reformists should continue to take the challenge—"

"Although the method of [Abstracts will ruin a country, but hardcores will make it prosperous] is very good, it pushes the number of land grids irrigated by one grid of water to 50 million grids."

"But this pyramid design makes too much use of the space on each floor. As a result, the utilization rate of the vertical space is reduced by half."

"In this three-dimensional farmland model, we can successfully replicate the previous pyramid structure by sacrificing two grids for each layer of flat farmland. In this way, the pyramid structure becomes a tower structure."

"After a simple calculation--"

“∑=(0~127){∑（n=1~2m+1）[128n+16（n-1）+16x2n]+64（2m+1）+16}=248292352块！”

"I also used Excel to make a schematic diagram, which I have now sent to Weibo. You can take a look. Based on the formula, the answer can be reproduced."

"I stayed up all night, and this is the limit of what I can do. I hope that some experts can make another breakthrough in my model. Everyone, I will catch up on some sleep. Finally, I want to say -"

"Reform, reform, only I am the new one!"

Water friend: "!!!"

Player: "!!!"

many?
How many?

More than 240 million yuan?
Come on, 50 million is outrageous enough!

The onlookers originally thought that even if there was a new answer, it would at most be a slight increase on the basis of 50 million yuan.

But who would have thought that the leader of the reformist knights would increase the amount of 50 million by almost five times, reaching a staggering 240 million.

How is the area that can be irrigated by one water source calculated in billion?

Your mother's kiss, is it the world that is crazy, or am I crazy?
Is this the strength of a hardcore master?
Is this the horror of my world?

Is this the game I know?
I am tired, destroy it!

"You call this Liuliu's homework? Who is a good person who can complete such a difficult homework?"

"Speaking of which, this is more than 240 million yuan. Is this the final answer?"

"I'm afraid only God knows. Anyway, I don't dare to say anything nonsense. What if there are other experts?"

"That's true, but after all, it was Liuliu who asked the question, so she should have the answer, right? Class is about to start, why don't we ask her?"

"Yes, that's right. After all, this issue involves the Nine Tripod Badges, so it's better to be cautious."

"My world? Haha, it's just someone else's world."

【Monthly Ticket】【Recommended Ticket】

(End of this chapter)