Can you solve the control room riddle

你能解決控制室的謎語嗎

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As your country's top spy, you must infiltrate the headquarters of the evil syndicate, find the secret control panel, and deactivate their death ray.?

But all you have to go on is the following information picked up by your surveillance team.

作為國家的頂級間諜，你必須潛入邪惡組織的總部，找到隱蔽的控制板，并且關閉死亡射線。

但是你擁有的信息只是你的監(jiān)督團隊所收集的。

The headquarters is a massive pyramid with a single room at the top level, two rooms on the next, and so on.?

The control panel is hidden behind a painting on the highest floor that can satisfy the following conditions: Each room has exactly three doors to other rooms on that floor, except the control panel room, which connects to only one, there are no hallways, and you can ignore stairs.

如下：這個總部是一個巨大的金字塔?在頂層有一個的房間，下面一層有兩間房間，以此類推。

控制板被藏在一幅畫的后面，這幅畫在滿足下面的這些條件的最高層：在每一層，每一個房間恰好有三張門通往其他房間，除了控制室只連接一個房間。沒有走廊，忽略樓梯。

Unfortunately, you don't have a floor plan, and you'll only have enough time to search a single floor before the alarm system reactivates.?

Can you figure out which floor the control room is on??

Pause now to solve the riddle yourself.?

Answer in: 3?

Answer in: 2?

Answer in: 1

不幸的是，你沒有樓層平面圖，而且你僅有足夠時間在警報系統(tǒng)恢復正常之前完整搜尋某一層。

你能想出控制室在哪一層嗎？

現(xiàn)在暫停，嘗試解決這個謎題。

答案在3秒后

答案在2秒后

答案在1秒后

To solve this problem, we need to visualize it.?

For starters, we know that on the correct floor there's one room, let's call it room A, with one door to the control panel room, plus one door to room B, and one to C.?

So there must be at least four rooms, which we can represent as circles, drawing lines between them for the doorways.?

But once we connect rooms B and C, there are no other connections possible, so the fourth floor down from the top is out.

We know the control panel has to be as high up as possible, so let's make our way down the pyramid.?

The fifth highest floor doesn't work either.?

為了解決這個問題，我們需要把它形象化。

最開始，我們知道在每一個樓層都至少有一個房間，我們把它叫做房間A，有一個門通往控制室另一個門通往房間B，還有一個通往房間C。

所以這至少有4個房間，我們可以把它們繪成圓形，在它們的門之間連線。

但是一旦我們連接B和C，就沒有其他可能的連接了，所以第4層樓不滿足條件。

我們知道控制室必須盡可能的高，所以我們繼續(xù)下金字塔。

第5層也不滿足條件。

We can figure that out by drawing it, but to be sure we haven't missed any possibilities, here's another way.?

Every door corresponds to a line in our graph that makes two rooms into neighbors.?

So in the end, there have to be an even number of neighbors no matter how many connections we make.

我們可以通過畫圖得出這個結論，但是為了確保我們沒有錯失任何的可能，還有另外一種方法。

在我們的圖中，每一個門對應一條線使兩個房間相鄰。

所以最后必須是有偶數(shù)倍的相鄰房間，無論我們連了多少線。

On the fifth highest floor, to fulfill our starting conditions, we'd need four rooms with three neighbors each, plus the control panel room with one neighbor, which makes 13 total neighbors.?

Since that's an odd number, it's not possible, and, in fact, this also rules out every floor that has an odd number of rooms.?

So let's go one more floor down.

到了第5層，為了滿足我們剛開始的條件，我們需要4個房間，每個房間都有3個相鄰的房間，加上控制室有1個相鄰的房間，總共就有13個相鄰的房間了。

因為這是一個奇數(shù)，這是不可能出現(xiàn)的，實際上，這樣就排除了有奇數(shù)個房間的所有層。

所以讓我們再往下一層。

When we draw out the rooms, low and behold, we can find an arrangement that works like this.?

Incidentally, the study of such visual models that show the connections and relationships between different objects is known as graph theory.

In a basic graph, the circles representing the objects are known as nodes, while the connecting lines are called edges.?

Researchers studying such graphs ask questions like, "How far is this node from that one?"

"How many edges does the most popular node have?"?

"Is there a route between these two nodes, and if so, how long is it?"

當我們畫出房間的時候，看，我們可以找到這樣一種可行的安排。

順便說一句，這種可視化模型的表明不同物體間的聯(lián)系和關系的研究叫做圖論。

在一個基本的圖中，每一個表示物體的圓叫一個節(jié)點，而相連的線被稱為邊。

研究人員研究這樣的圖時會這樣問，“這個節(jié)點和另外一個之間有多遠？”

“一個節(jié)點最多有多少邊與它相連？”

“這兩個節(jié)點之間有沒有一條路線，如果有，有多長？”

Graphs like this are often used to map communication networks, but they can represent almost any kind of network, from transport connections within a city and social relationships among people, to chemical interactions between proteins or the spread of an epidemic through different locations.?

So, armed with these techniques, back to the pyramid.?

You avoid the guards and security cameras, infiltrate the sixth floor from the top, find the hidden panel, pull some conspicuous levers, and send the death ray crashing into the ocean.

這樣的圖表經常被用作繪制通訊網(wǎng)，但是它們幾乎可以呈現(xiàn)任何種類的網(wǎng)，從一個城市的交通網(wǎng)，人與人的社交關系網(wǎng)，到蛋白質之間的化學作用或者是通過不同地區(qū)的傳染病的傳播。

所以，有了這些技術，回到金字塔上。

你躲開了侍衛(wèi)個安保的攝像機，從頂層潛入第六層，找到了隱蔽的控制板，拉了幾個杠桿，把死亡射線偏折到了大海里。

Now, time to solve the mystery of why your surveillance team always gives you cryptic information.?

Hi everybody.?

If you liked this riddle, try solving these two.

現(xiàn)在，到了解開這個謎的時候了：為什么你的監(jiān)督團隊總是給你一些加了密的信息呢？

嗨！

如果你喜歡這個謎語，也嘗試解開這兩個吧。