Can you solve the passcode riddle? - Ganesh Pai

9,721,603 views ・ 2016-07-07

TED-Ed


请双击下面的英文字幕来播放视频。

翻译人员: Nanyuan Chen 校对人员: Yutong Wu
00:10
In this dystopian world, your resistance group is humanity's last hope.
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在这个反乌托邦世界中,你们的反抗组织是人类的最后希望
00:15
Unfortunately, you've all been captured by the tyrannical rulers
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不幸的是,你们被暴虐的统治者抓到
00:19
and brought to the ancient colosseum for their deadly entertainment.
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并被带到古时候的斗兽场,将以死亡取悦他们
00:23
Before you're thrown into the dungeon,
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在你们被扔进地牢前
00:25
you see many numbered hallways leading outside.
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你看见了很多条通往外界的走廊
00:28
But each exit is blocked by an electric barrier
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但每一个出口都有
00:31
with a combination keypad.
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配有按键组合的电子栏杆
00:34
You learn that one of you will be allowed to try to escape by passing a challenge
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你知道你们中的一人将被允许尝试通过挑战逃离
00:39
while everyone else will be fed to the mutant salamanders the next morning.
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但剩下的人将会在第二天成为异形蜥蜴的早餐
00:44
With her perfect logical reasoning, Zara is the obvious choice.
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因为有着完美的逻辑推理能力,Zara成了理所当然的选择
00:48
You hand her a concealed audio transmitter so that the rest of you can listen along.
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你交给她一个隐藏的声音发射器,
这样剩下的人可以听到她的动态
00:54
As Zara is led away,
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Zara先走了出去,
00:56
you hear her footsteps echo through one of the hallways,
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你听到她的脚步的回声从其中的一条走廊上传来
00:58
then stop.
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然后停下了。
01:00
A voice announces that she must enter a code
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一个声音宣称,她必须输入一个代码
01:03
consisting of three positive whole numbers in ascending order,
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代码由三个正整数构成, 并由升序排列,
01:08
so the second number is greater than or equal to the first,
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所以第二个数字必须大于等于第一个,
01:11
and the third is greater than or equal to the second.
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且第三个数字大于等于第二个。
01:15
She may ask for up to three clues,
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她可以要求提供三条线索,
01:17
but if she makes a wrong guess,
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但是她如果做出了错误的猜测,
01:19
or says anything else,
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或者说了其它内容,
01:20
she'll be thrown back into the dungeon.
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她将会被重新扔回地牢。
01:23
For the first clue, the voice says the product of the three numbers is 36.
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第一条线索,这个声音说,这三个数字相乘的结果是36.
01:30
When Zara asks for the second clue,
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当Zara询问第二条线索,
声音告诉她这些数字的总和
01:33
it tells her the sum of the numbers
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01:35
is the same as the number of the hallway she entered.
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同她进入的走廊的数字一样。
长久的静默。
01:39
There's a long silence.
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01:41
You're sure Zara remembers the hallway number,
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你确定Zara记起了走廊的数字,
但你却没办法知道数字是什么,
01:44
but there's no way for you to know it,
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01:46
and she can't say it outloud.
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并且Zara不能大声地说出来。
如果这时Zara可以输入代码,她会输入的
01:50
If Zara could enter the passcode at this point, she would,
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01:53
but instead, she asks for the third clue,
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但并没有,她要求了第三条线索
这个声音宣称,最大的数字只出现了一次
01:57
and the voice announces that the largest number appears only once
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02:01
in the combination.
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在这个组合中。
片刻后,电子卫士的鸣声停止了一会儿,
02:04
Moments later, the buzz of the electric barrier stops for a few seconds,
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02:08
and you realize that Zara has escaped.
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你意识到Zara已经逃出了。
02:11
Unfortunately, her transmitter is no longer in range,
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不幸的是,她的声音发射器已不在适用范围内
02:15
so that's all the information you get.
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所以这是你所能知道的所有信息。
02:17
Can you find the solution?
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你能找到解决办法吗?
暂停下一屏幕,来找到解决方案
02:19
Pause on the next screen to work out the solution.
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找到按升序排列的三个数字!1. 三数相乘得36.
2.三数之和代表了第几条走廊,但你不知道是几
3.最大的数字只出现了一次.需要3条线索
02:27
3
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02:28
2
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02:29
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02:30
You're worried about the fact that you don't know Zara's hallway number,
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你在担心你并不知道Zara在走廊上的数字
02:33
but you decide to start from the beginning anyways.
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但你决定无论如何也得从头开始。
从第一条线索,你列出了所有得出相乘结果是36 的
02:37
From the first clue, you work out all of the eight possible combinations
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02:41
that come out to a product of 36.
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8种可能组合。
02:43
One of these must be right, but which one?
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它们中的一个肯定是正确的,但是哪一个呢?
02:45
Now comes the hard part.
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现在这是最难的部分。
02:48
Even though you don't know which number you're looking for,
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尽管你不知道你在寻找哪个数字
02:51
you decide to work out the sum of each combination's three numbers.
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你决定算把每个组合的3个数字的总和都算出来。
02:55
That's when it hits you.
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这是你获得灵感的瞬间。
02:57
All but two of the sums are unique,
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除了其中的两个结果,其他的求和结果都是独特的,
03:00
and if the hallway number had matched any of these,
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并且如果走廊数字与其中任何一个匹配,
03:03
Zara would have known the correct combination right then and there
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Zara都本该在那时就知道正确的组合
03:07
without asking for the third clue.
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而不需要要求第3条线索。
03:09
Since she did ask for the clue,
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因为她确实问了线索,
03:11
the hallway number must have matched the only sum
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走廊数字就一定是与在求和列表中出现不止1次的
03:14
that appears more than once in the list:
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数字相匹配:
13。
03:17
thirteen.
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03:18
But which of the two combinations that add up to thirteen is correct:
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但这两组求和结果为13的数字,哪一组是正确的呢:
03:22
1,6,6,
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1,6,6.
03:23
or 2,2,9?
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还是2,2,9?
这时就要用到第3条线索。
03:25
That's where the third clue comes in.
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因为它告诉我们最大的数字是第一无二的,
03:27
Since it tells us that the largest number must be unique,
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03:30
2,2,9 must be the code.
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2,2,9一定是这个代码。
03:33
When night falls, you and the others escape through hallway thirteen
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当夜幕降临,你和其他人逃离了13走廊,
03:37
and rejoin Zara outside.
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并且与Zara再外面汇合。
03:39
You've freed yourselves through math and logic.
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你们解救了自己,通过数字和逻辑。
03:42
Now it's time to free the rest of the world.
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现在是解救这个世界的时候了。
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