Game Design: Is it possible? CaiGou

The first class of Liuliu, the cyber postgraduate entrance examination tutor, the "Minecraft Cyber ​​Architecture" series of courses has come to an end.

After-school homework assigned by Ke Liuliu——

In my world, the question of how many squares of farmland can be irrigated by a bucket of water has triggered a great discussion among the people.

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

Taipingdao community, Minecraft chat section.

The Yellow Turban Army from all major factions gathered here to exchange opinions and express opinions, and finally reached a unified understanding——

Which faction gives the stronger answer to the question [In Minecraft, how many squares of farmland can be irrigated by a bucket of water]?

Then in the fourth Yellow Turban faction war, other Yellow Turban factions will automatically cede community land and surrender to the winner to pay compensation, allowing that faction to obtain the Jiuding emblem with an overwhelming advantage.

Today, the Jiuding Badge has become the obsession of Yellow Turban Army players. After all, whichever faction can obtain the Jiuding Badge can request General Tiangong to customize the game.

However, as the number of games released in Taipingdao increases, and now there are more than 30 community sections, and the heroes are divided, it is too difficult to unify the Central Plains.

Fighting in the nest, fighting back and forth, since there is no result, it is better for everyone to take a step back.

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

As a result, this problem is no longer just an after-school homework, its importance suddenly rises to the level of Jiuding Badge and customized games.

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

There are big bosses of all kinds in the player group, and a mere problem cannot stump the heroes of the world.

The major factions reached an agreement, and in less than half an hour, Cheese Snow Leopard, the elder of the reformist faction, took the lead and released a scarf on the official WeChat account of the reformist faction, firing the first shot of a bucket of water in Minecraft.

"Hello everyone, I am Cheese Snow Leopard. This kind of hard-core issue has always been the weak point of our reformists. If this is the case, then we reformers should be the first to offer suggestions."

"As we all know, in my world, how many grids of land can be irrigated by one grid of water? The most standard and mainstream answer is that one grid of water can irrigate 80 grids of land in [9x9-1]."

"But don't forget, one square of water source can extend 7 squares. When we dig 7 squares outward on both sides of the water source, the two sides count as 14 squares, plus the water source itself, the total is 15 squares, so that the water sources on both sides can Irrigation [(15+8)x9-15] is 192 grids of cultivated land.”

"If we extend the water flow crosswise, the wet land area is equal to [23x23-(14+14+1)-(7x7x4)], which is 304 grids."

"With my current ability and problem-solving ideas, I can only go so far. If you have other ideas, players are welcome to post scarves."

As soon as the Cheese Snow Leopard appeared, it raised the upper limit of 80 blocks to 304 blocks, which was amazing.

"Awesome——"

"Renovate, renovate, renovate, maintain my uniqueness!"

"Okay! Cheese Snow Leopard is indeed a sword that is still young, and he is worthy of being a long-famous general of our reformist faction!"

"Hahahaha, our reformers came first! I'm proud!"

The reform faction moved, and the other factions couldn't sit still and decided to take over.

More than half an hour later.

[Prince Furong], one of the thirty-six presidents of the old conservative sect and now one of the seventy-two elders of the Steamed Dumpling Sect, posted his answer on the Steamed Dumpling Instructor’s WeChat account.

"Hello everyone, I am Prince Furong. As we all know, Cheese Snow Leopard and I are old enemies. Cheese Snow Leopard has already made moves, so there is no reason why I shouldn't take them."

"I admit that Cheese Snow Leopard's problem-solving ideas are very good on a flat surface, but don't forget that in my world, water can flow."

"When adding the property that water can flow, our problem-solving ideas will be completely different. At the same time, the amount of land we irrigate can easily surpass the Cheese Snow Leopard."

Prince Fleur manipulated Steve to build a square column that was only one square in size but reached into the sky.

Prince Furong then built four parallel square strips facing the ground in the four directions with the square column as the center in the sky, making this peculiar flat building appear in the shape of an [x] when viewed from the sky.

Prince Furong poured water directly on the center of the square pillar. This square of water flowed slowly and gradually spread to the four directions of southeast, northwest and northwest.

Immediately afterwards, Prince Furong spread soil blocks around the four square strips, and finally completed the [x] shape into a square with four missing corners.

The water staying 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 showed everyone: "In this way, one grid of water can irrigate 160 grids of cultivated land. But my problem-solving ideas are far from over."

"Now I knock out a block below the center of the water source, and the water will continue to flow downward. I will continue to erect block strips around this position and lay down soil blocks."

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

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

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

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

These scenes, displayed in front of the players, made the watching water friends say that there was something.

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

"Stay conservative, stay conservative, 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, something's up!"

"Yeah, why didn't I think of it, but according to the flow characteristics of water, 768 squares is obviously not the final answer."

"I have an idea, I have an idea of ​​a better one, wait for me to try it!"

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

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

It's hard to imagine!

But in less than five minutes, Xiang Xianchong, the soul of no faction, posted a Weibo post.

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

"We can apply the plan of flat farmland to the three-dimensional farmland, and add a condition that the height in a normal world is 255 grids, which means that one grid of water can irrigate 20,480 pieces of land."

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

Although he was one step slower than Cheese Snow Leopard and Prince Furong in posting on Weibo, Xiang Xianchong's final answer suddenly rose to 20,480 grids based on Prince Furong's 768 grids.

This almost crazy number made countless players call it awesome.

The question of how many grids of land can be irrigated by one grid of water in My World also became a hot search in a short period of time, attracting countless people to Weibo to observe the answers of the big guys.

"No, it's only been three rounds, and the answer has soared from 80 squares to 20480 squares? Is it really that exaggerated?"

"The people of No Faction are the most awesome! Big Brother Xiang Xianchong is worthy of being Big Brother Xiang Xianchong, I give in!"

"Hahahahaha, what Cheese Snow Leopard, what Hibiscus Prince, in front of our Big Brother Xiang Xianchong, they are all scum."

No one thought that this was just an assignment assigned by Cyber ​​​​Postgraduate Entrance Examination tutor Liuliu after class, but it actually triggered a big discussion on the entire network.

Especially when Xiang Xianchong, the soul of No Faction, pushed this answer to the peak of 20480 squares.

Many top masters found the defects and optimization space in this solution at a glance.

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 Misleads the Country, Hardcore Prospers the Country], one of the 72 Elders of the Steamed Dumpling Sect, stood up.

"Hahaha, heroes are as numerous as crucian carp 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 that Cheese Snow Leopard also said that water can be extended on a plane. So the three-dimensional farmland model can be further optimized."

"With this, I use the Manhattan distance formula, which is a measurement method for calculating the distance between two points on a plane."

"Because it can only move horizontally and vertically, the shortest path to move through the grid line 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|。 "

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

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

"Through simple calculations, we can conclude that one square of water can irrigate 50 million squares of farmland. "

Player: "..."

Water friend: "..."

No——

What is the Manhattan distance formula?

What do you mean by simple calculation?

What do you mean by irrigating 50 million squares of farmland?

Your mother's kiss, 50 million, a full 50 million!

From the initial 80 squares to the current 50 million squares!

Big brother, this result is too exaggerated, isn't it?

"I'm so tired, is this the difference between me and the big brothers? This game allows you big brothers to get it for free, and you lose a lot! "

"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 and it's out of my reach."

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

Once the conclusion of [Abstract will ruin the country, hardcore will make it prosperous] was released, it pushed Minecraft to a climax.

One night passed, and no one from other major factions took up the challenge, 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 points was far from the final answer.

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

"Although the method of [Abstract will ruin the country, hardcore will make it prosperous] is very good, the number of land grids irrigated by one grid of water has been pushed to 50 million grids."

"But this pyramid design makes too much use of the space on each floor. Instead, it reduces the utilization rate of the vertical space by half."

"In this three-dimensional farmland model, we can successfully replicate the previous pyramid structure by sacrificing two grids of flat farmland on each floor. 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 yuan! "

"I also made a schematic diagram with Excel and sent it to Weibo. You can see that the answer can be reproduced according to the formula. "

"I stayed up all night. This is the limit of what I can do. I hope that a master can make another breakthrough in my model. I will catch up on my sleep. Finally, I want to say——"

"Reform, reform, only I am new!"

Friends: "!!!"

Players: "!!!"

How much?

More than 240 million yuan?

Come on, 50 million yuan is outrageous enough!

The spectators 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 Knights of the Reform Party would increase the amount of 50 million by almost five times, reaching an astonishing 240 million.

The area that can be irrigated by one water source is calculated in units of 100 million?

Your mother's kiss, is this world 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 can complete such a difficult homework?"

"By the way, this is more than 240 million yuan. Is this the final answer?"

"I'm afraid only God knows. Anyway, I dare not say anything nonsense. What if there are other masters?"

"That's the truth. But after all, it's Liuliu's question. She should have the answer, right? Class is about to start. Let's ask her?"

"Yes, that's right. After all, this question is about the Nine Tripod Badge. It's better to be cautious."

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

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