Can you solve the multiverse rescue mission riddle? - Dan Finkel

1,731,876 views ・ 2019-08-15

TED-Ed


请双击下面的英文字幕来播放视频。

翻译人员: Carol Wang 校对人员: Candace Hwang
00:06
It was a normal Tuesday at the superconductor,
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这是超导体实验室的一个普通星期二,
00:09
until a bug in the system created a small situation.
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但一个系统漏洞造成一个突发小状况,
00:14
Now your team is trapped in eleven separate pocket dimensions.
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把你的团队困在 11 个 单独的空间维度里。
00:18
Luckily for you, there’s a half-finished experimental teleportation robot
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幸运的是,有一个实验性 远距传送机​​器人半成品,
00:24
that may be able to get you all home,
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若能弄懂其古怪设计和如何操控,
00:26
if you can figure out how to work through the quirks of its design.
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它可能会把你们送回家。
00:30
Over interdimensional radio,
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你的工程师
00:32
your engineers explain
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通过跨维无线电解释说,
00:34
that the robot can teleport into the alternate universes you’re trapped in,
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机器人可以随机穿越到
00:38
but it’ll do so completely at random.
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你们被困的另一个宇宙。
00:41
The robot has two levers and one big button.
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机器人有两个控制杆和一个大按钮,
00:44
When it appears,
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当它出现时,
00:45
you just switch the position of one of the levers from A to B or vice versa,
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你只需切换任意一个控制杆的位置, 从 A 到 B,或从 B 到 A,
00:51
and then the robot will note your dimensional position
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机器人就会记住你所在的维度位置,
00:54
and teleport to another of the eleven dimensions at random.
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并随机穿越到 11 个空间维度中的一个。
00:58
If it shows up again, you’ll have to pull a lever before it’ll teleport away.
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若它再次出现,你必须 变换控制杆的位置,它才会离开。
01:03
When anyone presses the button,
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当有人按下按钮时,
01:06
the robot will bring everyone who pulled a lever back home.
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机器人会把曾拉动控制杆的人全带回家。
01:10
Anyone who didn’t will be lost in the multi-verse forever.
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而没有拉过控制杆的人, 将会永远迷失在多元宇宙中。
01:14
The challenge is to make sure everyone has pulled a lever
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挑战在于,如何在按下按钮前,
01:18
before anyone hits the button.
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确保每个人都拉了控制杆。
01:20
While you can talk to each other now over the interdimensional radio
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虽然你现在可以用跨维无线电互相交谈,
01:24
and agree on a plan,
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并一起制定方案,
01:25
the robot’s teleportation technology
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但机器人一旦抵达,
01:28
will interfere with all attempts at communication once it arrives.
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其远程传送技术会干扰所有的通信。
01:32
You won’t be able to attach messages to the robot
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你无法在机器人身上附加消息,
01:35
or scratch notes into its superstrong alloy body.
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也不能在其超强的合金体上刻字。
01:39
Your only way to communicate information
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你们沟通的唯一方式,
01:42
is to change the position of exactly one lever or hit the button.
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就是改变一个控制杆的位置或按下按钮。
01:47
What plan will make sure everyone gets home?
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什么样的计划将确保每人都能回家呢?
01:50
Pause the video now if you want to figure it out for yourself.
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[若想自己解题,请暂停播放]
01:55
Answer in 3
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[答案公布 3]
01:56
Answer in 2
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[答案公布 2]
01:57
Answer in 1
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[答案公布 1]
01:59
It would be nice if you could set different combinations of the levers
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用控制杆的位置组合 来代表机器人访问过谁,
02:03
to indicate who’s already been visited by the robot.
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是个不错的主意,
02:05
But it has only two levers.
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但它只有两个控制杆,
02:08
That gives four combinations—
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即仅有四种组合——
02:10
far too few to communicate about 11 people,
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组合太少了,无法代表 11 人,
02:13
especially when you’re forced to flip one to send the robot onward.
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特别是你必须用掉一个组合, 才能让机器人去其他人那里。
02:18
There must be another way.
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肯定有另外一种方式。
02:20
The critical insight is that not everyone has to know
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解题关键在于,
并非每个人都必须了解 哪些空间维度已被访问过。
02:23
when every pocket dimension has been visited.
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02:26
If one person accepts responsibility ahead of time for hitting the button,
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如果某人提前接受按下按钮的任务,
02:30
then only they need to know who the robot has visited.
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那么,只需他知道机器人访问过谁即可。
02:33
In fact, they don’t even need to know exactly who’s been visited…
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其实,他甚至无须知道 机器人去过谁那里……
02:37
just how many people have been.
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只需知道去过多少人那里即可。
02:39
You volunteer to be the person in charge of pressing the button
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你主动承担了任务,
在一切就绪的时候按下按钮的任务,
02:43
when the moment is right,
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02:45
and give the following directions to everyone else.
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并给其他人下达如下的指示。
02:48
Your plan is simple:
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02:50
you’ll use the left lever to count visits,
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你将用左控制杆来计算访问次数,
02:53
and the right lever will have no meaning,
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而右控制杆没有任何用处,
02:55
so there’s no harm in moving it up or down.
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所以,移动右控制杆位置无所谓。
02:58
Each of the others will pull the left lever
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其他每个人都会拉动左控制杆,
03:00
from position A to position B exactly once.
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从位置 A 到位置 B,仅一次。
03:05
If the robot appears with the left lever already pulled down,
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若机器人出现时左控制杆已拉到 B,
03:09
or if an individual has previously pulled the left lever down
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或某人已在先前某时
03:12
at any point in the past,
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把左控制杆拉到 B 位置,
03:14
then they should move the right lever.
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这时,他们应该移动右控制杆的位置。
03:16
You, meanwhile, will be the only one who ever resets the left lever from position B
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而你,才是唯一重置左控制杆的人,
从位置 B 重置到 A 。
03:22
to position A.
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03:24
This gives you a way to count how many people have been visited by the robot.
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这就提供了计算 被机器人访问过的人数的方法。
03:28
Everyone needs to pull the left lever down exactly once,
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每个人只需将左控制杆 拉到 B 位置 1 次,
03:32
and you’re the only one to pull it back up.
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而你是唯一能将位置重置回 A 的人。
03:35
So you know that the tenth time the robot visits you
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所以,当机器人第十次拜访你、
且左控制杆处于下方位置 B 时,
03:38
with its left lever in the down position,
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03:40
it must have visited all ten of the others.
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你就知道,它已访问过其他所有人了。
03:43
And that means you’re safe to press the button and teleport everyone home.
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也意味着,你可以安全地 按下按钮,传送每人回家。
03:48
It may take a while–
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这可能需要一段时间——
03:49
most likely the robot will need to teleport around 355 times;
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很可能机器人要传送约 355 次;
03:55
but better that than leave anyone behind.
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但总比留下任何一个人要好。
03:58
Your teammates phase back into your home dimension one at a time.
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你的队友依次回到 你们家所在的维度空间,
04:02
The mission proves a great success.
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任务圆满完成。
04:05
Well...mostly.
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嗯……理论上如此。
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