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

1,718,094 views ・ 2019-08-15

TED-Ed


請雙擊下方英文字幕播放視頻。

譯者: Lilian Chiu 審譯者: Carol Wang
00:06
It was a normal Tuesday at the superconductor,
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在超導體實驗室裡, 今天是平常的星期二,
00:09
until a bug in the system created a small situation.
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直到系統中的一個錯誤 造成了一個小狀況。
00:14
Now your team is trapped in eleven separate pocket dimensions.
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現在你的團隊被困在 十一個不同的口袋異次元中。
00:18
Luckily for you, there’s a half-finished experimental teleportation robot
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你們很幸運,有一個半完成的 實驗性遠距傳送機器人
00:24
that may be able to get you all home,
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可能可以把大家帶回家,
00:26
if you can figure out how to work through the quirks of its design.
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但你得要想出如何運用它的設計。
00:30
Over interdimensional radio,
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透過跨次元無線電, 你的工程師解釋說
00:32
your engineers explain
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00:34
that the robot can teleport into the alternate universes you’re trapped in,
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機器人可以傳送到 你們受困的各個宇宙,
00:38
but it’ll do so completely at random.
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但傳送是完全隨機的。
00:41
The robot has two levers and one big button.
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機器人有兩根控制桿 和一個大按鈕。
00:44
When it appears,
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當它出現時,你只要 把其中一根控制桿
00:45
you just switch the position of one of the levers from A to B or vice versa,
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從 A 切換到 B 或是反過來,
00:51
and then the robot will note your dimensional position
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接著機器人就會 記下你的次元位置,
00:54
and teleport to another of the eleven dimensions at random.
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然後隨機傳送到 十一個次元中的另一個。
00:58
If it shows up again, you’ll have to pull a lever before it’ll teleport away.
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如果它再次出現,你得要再去拉 一根控制桿,它才會再次傳送走。
01:03
When anyone presses the button,
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任何人只要按下按鈕,
01:06
the robot will bring everyone who pulled a lever back home.
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機器人就會把有拉過 控制桿的人帶回家。
01:10
Anyone who didn’t will be lost in the multi-verse forever.
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沒有拉過控制桿的人, 會永遠迷失在多重宇宙之中。
01:14
The challenge is to make sure everyone has pulled a lever
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挑戰之處在於要確保 大家都拉過控制桿,
01:18
before anyone hits the button.
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然後才能按下按鈕。
01:20
While you can talk to each other now over the interdimensional radio
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雖然現在你們可以透過 跨次元無線電來跟彼此通話,
01:24
and agree on a plan,
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並訂定一個計畫,
01:25
the robot’s teleportation technology
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但機器人的傳送技術
01:28
will interfere with all attempts at communication once it arrives.
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在機器人到達時會 干擾所有的通訊。
01:32
You won’t be able to attach messages to the robot
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你無法讓機器人攜帶任何訊息,
01:35
or scratch notes into its superstrong alloy body.
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它的合金身體超級堅硬 也無法在上面刻字。
01:39
Your only way to communicate information
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你們之間只有一種交換資訊的方式,
01:42
is to change the position of exactly one lever or hit the button.
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就是拉控制桿或是按下按鈕。
01:47
What plan will make sure everyone gets home?
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什麼樣的計畫能確保 大家都順利返家?
01:50
Pause the video now if you want to figure it out for yourself.
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[如果你想要自己解題, 請在這裡將影片暫停。]
[剩餘公佈時間:3]
01:55
Answer in 3
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01:56
Answer in 2
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[剩餘公佈時間:2]
01:57
Answer in 1
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[剩餘公佈時間:1]
01:59
It would be nice if you could set different combinations of the levers
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一個好點子是用不同的控制桿組合
02:03
to indicate who’s already been visited by the robot.
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來代表誰已經被機器人造訪過。
02:05
But it has only two levers.
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但只有兩根控制桿,
02:08
That gives four combinations—
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總共只能有四種不同的組合——
02:10
far too few to communicate about 11 people,
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完全不足夠代表十一個人,
02:13
especially when you’re forced to flip one to send the robot onward.
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何況你一定得要拉其中一根 控制桿才能讓機器人繼續傳送。
02:18
There must be another way.
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一定有其他的方法。
02:20
The critical insight is that not everyone has to know
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關鍵的洞見在於, 並非每一個人都必須知道
02:23
when every pocket dimension has been visited.
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何時每個口袋異次元 都已經被造訪過。
02:26
If one person accepts responsibility ahead of time for hitting the button,
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如果有一個人負責按下按鈕,
02:30
then only they need to know who the robot has visited.
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只有這個人需要知道 機器人造訪過誰。
02:33
In fact, they don’t even need to know exactly who’s been visited…
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事實上,他甚至不需要 確切知道誰被造訪過……
02:37
just how many people have been.
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知道有幾個人被造訪過就夠了。
02:39
You volunteer to be the person in charge of pressing the button
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你自願擔任在對的時機 按下按鈕的人,
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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並將下列指示傳達給每個人。
02:48
Your plan is simple:
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你的計畫很簡單:你會用 左控制桿來計算造訪次數,
02:50
you’ll use the left lever to count visits,
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02:53
and the right lever will have no meaning,
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右控制桿沒有意義,
02:55
so there’s no harm in moving it up or down.
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所以拉動右控制桿不會造成傷害。
02:58
Each of the others will pull the left lever
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每一個人都只會把左控制桿
03:00
from position A to position B exactly once.
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從 A 拉到 B 一次。
03:05
If the robot appears with the left lever already pulled down,
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如果機器人出現時,左邊的 控制桿已經被拉下來到 B,
03:09
or if an individual has previously pulled the left lever down
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或者這個人過去任何時候
03:12
at any point in the past,
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已經拉過一次左邊的控制桿,
03:14
then they should move the right lever.
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他就要去拉右控制桿。
03:16
You, meanwhile, will be the only one who ever resets the left lever from position B
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只有你一個人可以把左控制桿
從 B 拉回到 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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這就讓你能夠計算有多少人 已經被機器人造訪過。
03:28
Everyone needs to pull the left lever down exactly once,
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每一個人都只能拉 左邊的控制桿一次。
03:32
and you’re the only one to pull it back up.
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你是唯一能將它拉上來的人。
03:35
So you know that the tenth time the robot visits you
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所以你會知道,當機器人造訪你時
左控制桿在下方位置的狀況 一共發生十次之後,
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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就表示機器人已經 造訪過所有十個人。
03:43
And that means you’re safe to press the button and teleport everyone home.
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那就表示你可以安全地 按下按鈕,把大家傳送回家。
03:48
It may take a while–
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可能會花些時間——
03:49
most likely the robot will need to teleport around 355 times;
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有可能機器人會需要 做 355 次傳送;
03:55
but better that than leave anyone behind.
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但那總比漏掉任何一個人要好。
03:58
Your teammates phase back into your home dimension one at a time.
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你的團隊成員分階段一個一個 回到了你們的家鄉次元。
04:02
The mission proves a great success.
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這個任務是個大成功。
04:05
Well...mostly.
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嗯…大致上是啦。
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