Can you solve the death race riddle? - Alex Gendler

1,857,231 views ・ 2020-03-03

TED-Ed


請雙擊下方英文字幕播放視頻。

譯者: Lilian Chiu 審譯者: Helen Chang
00:08
The night before the Death Race across the Wastelands is set to begin,
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在「荒蕪地」的「死亡賽車」 即將展開的前一晚,
00:12
your uncle, the great inventor Slate Kanoli,
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你的叔叔,大發明家 史雷特·克諾利,
00:15
got kidnapped by the ruthless No-Side gang.
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被無情的「不選邊」幫派綁架。
00:18
The only way to get him back is to race his Coil Runner
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要把他救回來,只能靠你 駕駛他的「迴旋跑者」
00:22
against the gang yourself.
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親自參賽對抗這個幫派。
00:24
Win and they’ll give back your uncle.
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你贏了,他們就會釋放你的叔叔。
00:26
Lose and you’ll forfeit the Coil Runner and all his other creations.
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你輸了,就會失去「迴旋跑者」 以及他所有其他的發明。
00:31
As the grueling race gets underway,
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隨著艱辛的比賽開始進行,
00:33
you find yourself falling further and further behind.
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你發現你落後越來越多。
00:36
Your only chance is to take a shortcut your uncle told you about––
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你唯一的機會就是走你叔叔 曾經跟你說過的截徑——
00:40
the Flux Ravine gambit.
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「熔流深谷」險招。
00:43
Fortunately, the Coil Runner comes equipped with emergency turbo thrusters.
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幸運的是,「迴旋跑者」 本身就裝有緊急渦輪推進器。
00:48
Unfortunately, your uncle was a notorious tinkerer,
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不幸的是,你的叔叔 是個名聲很差的修補匠,
00:52
and the system still had some kinks to work out.
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這個系統還有一些要處理的毛病。
00:55
Just minor things like the ignition exploding,
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只是些小狀況, 比如點火器會爆炸、
00:58
the reactor leaking, or the oxygen levels depleting—
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反應器漏油,或者氧氣耗盡——
01:01
any of which would end your racing career immediately.
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上述任何一個狀況發生都會 讓你的賽車職涯立即告終。
01:05
Before his kidnapping,
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史雷特叔叔在被綁架之前,
01:06
Uncle Slate determined that each of these critical failures
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就認定上述的每一種關鍵故障狀況
01:09
was the ultimate result of a chain reaction
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都是源自推進器的一個連鎖反應
01:12
originating in the thrusters.
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所造成的最終結果。
01:14
He was also certain that while one factor could trigger two different effects,
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他也很確定,雖然一個因子 可能會觸發兩種不同的效應,
01:19
and two factors could each independently lead to the same effect,
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且兩個不同因子有可能會 個別導致相同的效應。
01:23
no effect is caused by two factors in conjunction.
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但沒有任何效應是由 兩個因子共同造成的。
01:28
However, Uncle Slate never got around to pinpointing
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然而,史雷特叔叔 始終沒有著手去找出
01:31
which thruster was responsible for which error.
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哪個推進器造成哪個錯誤。
01:35
All you have are the notes from his test runs:
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你所有的資料就是 他在試車時留下的筆記:
01:39
1. When thrusters B and C are on, the Fuel gauge glows.
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一、當推進器B和C 開啟時油表會發光。
01:44
2. When thrusters A, B, and D are on,
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二、當推進器A、B、D開啟時,
01:47
the Fuel gauge glows and the Helium tank rattles.
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油表會發光,且氦氣瓶會作響。
01:50
3. When thrusters C, D, and E are on,
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三、當推進器C、D、E開啟時,
01:54
the Fuel gauge glows and the Gravitometer spins.
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油表會發光,且重力儀會旋轉。
01:58
4. When thrusters A, D, and E are on,
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四、當推進器A、D、E開啟時,
02:02
the Gravitometer spins and the Helium tank rattles.
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重力儀會旋轉,且氦氣瓶會作響。
02:06
5. Shortly after the Helium tank rattles and the Gravitometer spins,
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五、在氦氣瓶作響 及重力儀旋轉後沒多久,
02:11
the Ignition explodes and the Oxygen levels deplete.
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點火器就會爆炸,氧氣耗盡。
02:15
6. Shortly after the Fuel gauge glows and the Gravitometer spins,
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六、在油表發光 及重力儀旋轉後沒多久,
02:20
the Reactor leaks.
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反應器就會漏油。
02:22
You need to use as many thrusters as possible
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你要盡可能使用最多的推進器,
02:25
to give yourself the best chance at clearing the gap,
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讓你有最高的機率成功飛躍峽谷,
02:28
without triggering any of the three catastrophic failures.
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且不要觸發那三種 災難性故障的任何一種。
02:32
Which thrusters should you activate?
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你應該啟動哪幾個推進器?
02:34
Answer in 3
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答案即將公佈:三
02:36
Answer in 2
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答案即將公佈:二
02:39
Answer in 1
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答案即將公佈:一
02:42
The most important thing to remember here
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在這裡,最重要需要記住的
02:44
is that even if we know that one thing causes another,
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就是即使我們知道 一件事會造成另一件事,
02:47
the converse is not necessarily true.
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反過來卻不見得成立。
02:50
For example, this panic switch shuts off the coil runner’s engine.
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比如緊急按鈕可以關掉 「迴旋跑者」的引擎。
02:54
But the engine being off doesn’t necessarily mean
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但若引擎是關閉的,並不見得 一定和緊急開關有關——
02:57
the panic switch was engaged—
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02:59
the coil runner could be out of fuel, or damaged—
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「迴旋跑者」的引擎有可能 沒油了或受損了——
03:02
or turned off normally.
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或只是正常關閉。
03:04
We can, however, conclude that if the engine is running,
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然而我們可以確定, 如果引擎仍然在運轉,
03:08
the panic switch hasn’t been engaged.
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則緊急開關絕非處於按下的狀態。
03:10
With that in mind, one way we can start is to work backwards
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知道了這一點, 我們能用的一種方式
就是從會讓你退場的 那三個問題開始反推。
03:14
from the three defects that could knock you out of the race.
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03:18
So let’s look at Slate’s last two notes,
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咱們來看看史雷特 筆記的最後兩點,
03:20
since they give direct information about those.
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因為這兩點中有關於 這三個問題的直接資訊。
03:23
The Gravitometer spins in both cases, but the results are different.
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在這兩個情況中重力儀 都會旋轉,但結果不同。
03:28
That means the spinning Gravitometer
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那就表示讓重力儀旋轉
03:30
can’t be the cause of any particular malfunction.
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不可能會造成任何特定的故障。
03:34
If it were, the same thing would happen each time.
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否則,同樣的事 每次都應該會發生。
03:37
So we can conclude that a glowing Fuel gauge makes the reactor leak,
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所以,我們可以確定, 是油表發光導致反應器漏油,
03:42
while a rattling Helium tank makes the Ignition explode
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而氦氣瓶作響會導致點火器爆炸
03:45
and depletes the Oxygen levels.
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和氧氣耗盡。
03:48
Once we know which two errors we need to avoid,
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一旦我們知道要避開哪兩個錯誤,
03:51
we can make a table and use the logic of cause and effect
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我們就可以做一張表, 用因果關係邏輯
03:54
to see which thrusters trigger them.
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來找出是哪個推進器 造成那些錯誤。
03:56
Since the Helium tank is fine during the first test run
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因為在第一次試車把推進器B和C
04:00
when thrusters B and C are active,
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都打開時,氦氣瓶沒問題,
04:02
we can assume neither makes it rattle.
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可假設兩者皆不會讓氦氣瓶作響。
04:05
And from the third run we know that D and E don’t either.
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根據第三次試車,我們知道 D和E也不會讓氦氣作響。
04:09
That leaves thruster A,
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那就只剩下推進器A了,
04:11
which was indeed used in the second and fourth test runs
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的確,在氦氣瓶會作響的 第二次和第四次試車中
04:15
where the Helium tank rattled.
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都有用到推進器A。
04:17
Now what causes the glowing Fuel gauge?
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那麼,是什麼造成油表發光?
04:21
From the fourth test run we know it can’t be thrusters A, D, or E.
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根據第四次試車,我們知道原因 不可能是推進器A、D,或E。
04:25
So is the culprit, B, C, or each of them separately?
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所以,肇事者是B和C? 或者它們分別都會肇事?
04:29
The answer can be found in the second and third test runs:
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從第二次和第三次 試車的資訊可以得到答案:
04:33
the fuel tank glowed in both, but B was activated in one,
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在這兩次試車時油表都有發光, 但只有其中一次試車有打開B,
04:37
and C in the other.
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另一次則是打開C。
04:39
That means the B and C thrusters each independently make the Fuel tank glow.
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那就表是推進器B和C
單獨都可以造成油表發光。
04:46
It looks like the A, B, and C thrusters are off limits.
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看來,推進器A、 B、C都用不得了。
04:50
Fortunately, the other two are just enough to clear the jump.
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幸運的是,用另外兩個 推進器就足夠飛躍峽谷。
04:54
You rocket into first place
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你飛進到第一名,
04:56
and the gang begrudgingly hands over your uncle.
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幫派很不情願地交出了你的叔叔。
04:59
He thanks you profusely, and decides to celebrate your victory
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他再三感謝你,並決定
用他最新的發明泡出一杯茶 來慶祝你的勝利。
05:03
with a cup of tea from his latest contraption...
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