Can you solve the death race riddle? - Alex Gendler

1,857,231 views ・ 2020-03-03

TED-Ed


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翻译人员: Yifei Liu 校对人员: Meng Ren
00:08
The night before the Death Race across the Wastelands is set to begin,
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在荒地死亡竞速开始的前一天晚上,
00:12
your uncle, the great inventor Slate Kanoli,
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你的叔叔,伟大的发明家 斯雷特 · 卡诺利
00:15
got kidnapped by the ruthless No-Side gang.
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被残忍的无帮派人士绑架了。
00:18
The only way to get him back is to race his Coil Runner
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唯一救回他的方法 就是驾驶他的螺旋跑车
00:22
against the gang yourself.
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亲自和无帮派赛车。
00:24
Win and they’ll give back your uncle.
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赢了,他们就会放了你叔叔。
00:26
Lose and you’ll forfeit the Coil Runner and all his other creations.
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输了,你就会失去螺旋跑车 和他所有的发明。
00:31
As the grueling race gets underway,
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艰难的竞速赛正在进行,
00:33
you find yourself falling further and further behind.
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你发现自己正落后得越来越远。
00:36
Your only chance is to take a shortcut your uncle told you about––
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你唯一的机会是走 叔叔曾告诉你的那条近道——
00:40
the Flux Ravine gambit.
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熔岩谷。
00:43
Fortunately, the Coil Runner comes equipped with emergency turbo thrusters.
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幸运的是,螺旋跑车 装备了紧急涡轮增压推进器。
00:48
Unfortunately, your uncle was a notorious tinkerer,
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不幸的是,你叔叔的 修理水平是远近闻名的差,
00:52
and the system still had some kinks to work out.
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车的系统仍有 一些小问题需要解决。
00:55
Just minor things like the ignition exploding,
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仅仅一些小问题, 如火星塞爆炸,
00:58
the reactor leaking, or the oxygen levels depleting—
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反应器泄漏,或者氧气用尽——
01:01
any of which would end your racing career immediately.
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当中的任何一个都可以 立即结束你的赛车生涯。
01:05
Before his kidnapping,
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在你叔叔被绑架之前,
01:06
Uncle Slate determined that each of these critical failures
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他判断出这些严重故障中的任何一个
01:09
was the ultimate result of a chain reaction
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都是推进器中
01:12
originating in the thrusters.
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一个链式反应的最终结果。
01:14
He was also certain that while one factor could trigger two different effects,
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他十分肯定 一个因素会引发两个不同的结果,
01:19
and two factors could each independently lead to the same effect,
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并且两个因素可以 各自独立地引起同一个结果,
01:23
no effect is caused by two factors in conjunction.
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没有一个结果 是由两个因素共同引起的。
01:28
However, Uncle Slate never got around to pinpointing
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但是,斯雷特叔叔还没来得及找出
01:31
which thruster was responsible for which error.
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哪个推进器会引起哪个问题 就被绑架了。
01:35
All you have are the notes from his test runs:
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你只有他测试跑车时记下的笔记:
01:39
1. When thrusters B and C are on, the Fuel gauge glows.
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1. 当开启推进器 B 和 C 时, 燃油量表会闪烁发光。
01:44
2. When thrusters A, B, and D are on,
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2. 当开启推进器 A、B 和 D 时,
01:47
the Fuel gauge glows and the Helium tank rattles.
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燃油量表闪烁发光 并且氦气瓶发出咔嗒声。
01:50
3. When thrusters C, D, and E are on,
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3. 当开启推进器 C、D 和 E 时,
01:54
the Fuel gauge glows and the Gravitometer spins.
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燃油量表闪烁发光 并且比重计旋转。
01:58
4. When thrusters A, D, and E are on,
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4. 当开启推进器 A、D 和 E 时,
02:02
the Gravitometer spins and the Helium tank rattles.
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比重计旋转 并且氦气瓶发出咔嗒声。
02:06
5. Shortly after the Helium tank rattles and the Gravitometer spins,
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5. 在氦气瓶发出咔嗒声 并且比重计旋转不久之后,
02:11
the Ignition explodes and the Oxygen levels deplete.
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火星塞爆炸并且氧气耗尽。
02:15
6. Shortly after the Fuel gauge glows and the Gravitometer spins,
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6. 在燃油量表闪烁发光 并且比重计旋转不久之后,
02:20
the Reactor leaks.
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反应器泄漏。
02:22
You need to use as many thrusters as possible
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你需要用尽可能多的推进器
02:25
to give yourself the best chance at clearing the gap,
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使自己尽量缩小差距,
02:28
without triggering any of the three catastrophic failures.
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且不会引起三个 毁灭性故障中的任何一个。
02:32
Which thrusters should you activate?
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你应该启动哪个推进器?
02:34
Answer in 3
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答案揭晓倒计时:3,
02:36
Answer in 2
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2 ,
02:39
Answer in 1
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1 。
02:42
The most important thing to remember here
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这里你需要记住的最重要的信息是,
02:44
is that even if we know that one thing causes another,
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即使一件事会引发另外一件事,
02:47
the converse is not necessarily true.
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反过来却不一定成立。
02:50
For example, this panic switch shuts off the coil runner’s engine.
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比如,应急开关 可以熄灭螺旋跑车的引擎。
02:54
But the engine being off doesn’t necessarily mean
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但是引擎熄灭了
02:57
the panic switch was engaged—
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并不意味着用了应急开关——
02:59
the coil runner could be out of fuel, or damaged—
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螺旋跑车可能没油了 或者坏了——
03:02
or turned off normally.
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或者被正常关掉了。
03:04
We can, however, conclude that if the engine is running,
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但是我们可以推断出 如果引擎还在运行,
03:08
the panic switch hasn’t been engaged.
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应急开关就没有打开。
03:10
With that in mind, one way we can start is to work backwards
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知道了这个,我们可以
03:14
from the three defects that could knock you out of the race.
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从会导致挑战失败的 三个缺陷中反向推导。
03:18
So let’s look at Slate’s last two notes,
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现在我们一起看看 斯雷特的最后两条笔记,
03:20
since they give direct information about those.
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因为它们给出了 有关上述笔记的直接信息。
03:23
The Gravitometer spins in both cases, but the results are different.
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在两个情况下比重计都会旋转, 但它们的结果不同。
03:28
That means the spinning Gravitometer
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这意味着比重计旋转
03:30
can’t be the cause of any particular malfunction.
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不会是任何具体故障的原因。
03:34
If it were, the same thing would happen each time.
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如果它是, 那么每次都会发生同样的结果。
03:37
So we can conclude that a glowing Fuel gauge makes the reactor leak,
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所以我们可以推断 闪烁发光的燃油量表使反应器泄漏,
03:42
while a rattling Helium tank makes the Ignition explode
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咔嗒作响的氦气瓶使点火塞爆炸,
03:45
and depletes the Oxygen levels.
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并且使氧气耗尽。
03:48
Once we know which two errors we need to avoid,
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一旦我们知道了 哪两个故障需要避免,
03:51
we can make a table and use the logic of cause and effect
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我们就可列一张表,用因果逻辑
03:54
to see which thrusters trigger them.
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来判断哪一个启动器引起它们。
03:56
Since the Helium tank is fine during the first test run
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因为氦气瓶在第一次测验
04:00
when thrusters B and C are active,
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启动推进器 B 和 C 时正常,
04:02
we can assume neither makes it rattle.
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我们可以推断这两个推进器 都不会使它发出咔嗒声。
04:05
And from the third run we know that D and E don’t either.
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从第三次测验我们知道 推进器 D 和 E 也不会。
04:09
That leaves thruster A,
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那就只剩下推进器 A 了,
04:11
which was indeed used in the second and fourth test runs
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当第二和第四次测试启动它时,
04:15
where the Helium tank rattled.
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氦气瓶会咔嗒作响。
04:17
Now what causes the glowing Fuel gauge?
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那什么会引起燃油量表闪烁发光呢?
04:21
From the fourth test run we know it can’t be thrusters A, D, or E.
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从第四次测试我们知道 不会是推进器 A、D 或 E 。
04:25
So is the culprit, B, C, or each of them separately?
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那么 B 和 C 到底谁是罪魁祸首, 还是说它们都是 ?
04:29
The answer can be found in the second and third test runs:
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从第二次和第三次的测试中 可以得到答案:
04:33
the fuel tank glowed in both, but B was activated in one,
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燃油量表在两次测试中都闪烁发光, 但是 B 只在一次测试中被启动,
04:37
and C in the other.
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而 C 在另一次被启动。
04:39
That means the B and C thrusters each independently make the Fuel tank glow.
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这就说明 B 和 C 推进器 各自独立地使燃油量表闪烁发光。
04:46
It looks like the A, B, and C thrusters are off limits.
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看来 A、B 和 C 推进器不能用。
04:50
Fortunately, the other two are just enough to clear the jump.
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幸运的是,另两个推进器 足够完成这次跳跃。
04:54
You rocket into first place
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你一跃成为第一名,
04:56
and the gang begrudgingly hands over your uncle.
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无帮派人士不情愿地交出了你叔叔。
04:59
He thanks you profusely, and decides to celebrate your victory
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他对你表示了由衷的感谢, 并且决定庆祝你的胜利,
05:03
with a cup of tea from his latest contraption...
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奖励了你从他那最新的 奇特装置里倒出的一杯茶······
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