Can you solve the giant spider riddle? - Dan Finkel

3,088,247 views ・ 2021-08-10

TED-Ed


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翻译人员: Ivy Jin 校对人员: Helen Chang
00:07
Once every century, the world’s greatest spiders gather to compete
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每一百年,世界上所有最厉害的蜘蛛们
会聚集在一起,参加一场 非常严格的比赛。
00:12
in a series of grueling games.
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00:15
The winner will become the next arachnomonarch,
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赢家将会成为下一个蜘蛛王,
00:18
able to command all the world’s spiders to their will.
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它具有根据自己的意愿 指挥世上所有的蜘蛛的权利。
00:21
That day is today, and for the first time,
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今天就是大赛的日子,
也是你第一次参赛的日子。
00:24
you’re casting your name into the ring.
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00:27
From Anansi to Arachne to Aragog,
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从阿南西到阿拉克尼到阿拉戈格,
00:30
all of the titans of the spider world are here,
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蜘蛛界所有的巨头都来了,
00:33
and at first, no one even notices itsy-bitsy you.
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而一开始,根本就没有蜘蛛 注意到你这个小透明。
00:37
But after wowing the crowd with your web design
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但在你织的网惊艳众蜘蛛,
00:40
and sticking it to the competition in the long-distance sling,
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然后在远距离抛掷项目中表现出色后,
00:44
you’ve qualified for the finals.
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你获得了进入决赛的资格。
00:46
Now all that remains is to face off against the reigning champion,
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最后一步就是面对上一届冠军,
00:50
Queen Shelob,
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尸罗皇后,
00:52
on the Whirled Wide Web, and win the title from her.
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在国际蜘蛛网上 将蜘蛛王的名号赢到手。
00:56
The web stretches over a large chasm,
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这个网挂在一个巨大的深渊之上,
00:58
with intersecting strands coming to a single point on the other side.
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交叉的网在悬崖的另一边 会逐渐汇成一个点。
01:03
Moving across each strand requires a careful dash,
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在每一根网上行走都要格外小心,
01:07
and you must keep going until you stop at the next hub
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而且中间不能停下,
直到你到达下一个交叉点。
01:10
where two strands cross.
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01:13
By ancient spider code, only one competitor may traverse the web at a time.
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根据古老的蜘蛛法则, 每次只能有一只参赛者在网上行动。
01:18
You must take turns, moving from one intersection to an adjacent one.
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你们必须轮流行动, 从一个交叉点挪到下一个。
01:23
No one may spin new paths into existence or skip turns.
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参赛者不可以自己织新的网, 也不能在原地不动。
01:27
You begin two spaces from Shelob, and to win,
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开始时,你距离尸罗两个交叉点,
想赢的话,你必须在十轮以内抓到她。
01:31
you must catch her by your tenth move.
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01:35
Can you attain the mantle of spider supremacy?
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你能成为最至高无上的蜘蛛吗?
01:38
Pause here to figure it out for yourself. Answer in 3
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在这里暂停,自己思考一下 解决方案,倒计时:三
01:41
Answer in 2
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01:43
Answer in 1
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01:46
It’s tempting to trap Shelob in a corner, but doing so is surprisingly tricky.
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你想把尸罗困在角落里, 但是比想象中要困难。
01:51
The layout of the web is such that every move you make,
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蜘蛛网的布局使得你每走一步,
01:55
Shelob can get to another intersection two away from you.
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尸罗就可以走到 距离你两个交叉点的位置。
01:58
So even if you were to drive her into a corner, she’d escape it easily.
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所以即使你把她困在角落里, 她也能轻易逃跑。
02:03
There are no dead ends,
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没有死角,
02:04
so there’s never a situation where she’d be forced to move to your space.
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所以永远不会出现她必须 挪到你的位置上的情况。
02:09
However, there is this point up here where all the strands converge.
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不过,这边有一个所有蜘蛛丝 汇集在一起的点。
02:15
It's easy to see that it's important,
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很显然,这个点很重要,
02:17
but the challenge is figuring out exactly what to do with it.
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但要怎样利用这个点呢?
02:22
There’s a clever way of re-visualizing the problem:
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重新审视这个问题有一个巧妙的方法:
02:25
try coloring every intersection one of two colors—
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先把每一个交叉点都涂上 两种颜色中的一种,
02:29
say red and blue—
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比如红色和蓝色,
02:31
where the same color never borders itself.
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而颜色不能出现相邻的情况。
02:35
What you get is a checkerboard pattern,
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你获得的是一个棋盘一样的图案,
02:37
then one space at the point which you can’t make either color.
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还有一个点无法涂任何颜色。
02:42
At the beginning of the game, every time you move to red,
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在游戏开始时,每当你挪到红色的点,
02:45
Shelob will be on blue,
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尸罗会在蓝色的点上,
02:47
and every time you move to blue, Shelob will be on red.
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而每当你挪到蓝色的点上, 尸罗就会在红色的点上。
02:51
In other words, unless something changes,
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简单地说,不出意外的话,
02:54
you can never move onto the same intersection as her.
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你永远都不可能 和她到达同一个交叉点。
02:58
And that’s where the point comes in.
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而这个时候,那个最重要的绿点 就要发挥它的作用了。
03:00
As indicated by its unique color, it’s the one place you can break the pattern
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这个点是你唯一的突破点,
03:05
and change the rhythm of moves.
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也可以利用这个点来改变 参赛者挪动的规律。
03:07
So you should waste no time in getting up there.
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所以不要浪费时间,直接去绿点。
03:10
Shelob could now be in any one of these red spaces,
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尸罗现在可能在任何一个红点上,
03:14
and you have at most 6 moves left to catch her.
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而你还有六轮时间来抓住她。
03:18
But thanks to the colors we've added,
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因为我们先前 给每个交叉点上涂了颜色,
03:20
we can now focus on the one thing that matters the most:
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我们现在只需要专注一件事:
03:23
changing the color pattern.
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改变你们所落的点的颜色规律。
03:25
Shelob is on red, so you should move onto red on the second or fourth strand.
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尸罗在红点上,那么你应该 挪到第二根或第四根的红点上。
03:31
Now, Shelob can never move to any of the spots neighboring you,
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现在,尸罗不能挪到 和你相邻的交叉点上了,
03:34
giving you a kind of net to use to catch her.
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这也给了你抓住她的路线。
你现在可以试着凭借直觉 选择接下来要走哪步,
03:38
You may have luck choosing your moves through intuition at this point.
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03:41
But if you want to get algorithmic about it,
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但如果你想通过计算来解决问题的话,
03:44
you could track how far away she is horizontally and vertically,
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你可以现在数数她横向和纵向 分别离你有多远,
03:48
as two numbers.
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获得两个数字。
03:50
On your move, shrink the larger of the two,
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轮到你时,先把两个数字中 较大的那个数字缩小,
03:53
and no matter which direction she runs, she’ll have to hit an edge.
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无论她往哪个方向跑, 她都会碰到悬崖的一面。
03:57
Eventually, you'll have backed her into one of the two corners
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最终,你会将她困在其中一个角落里,
04:01
and catch up to her at the last possible moment.
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在最后一轮的时候抓住她。
04:05
You snatch the ceremonial sash from your opponent
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你把冠军腰带从对手手中抢来,
04:08
and wrap it around yourself.
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挂在了自己身上。
04:10
You are now the Spider Supreme,
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你现在是蜘蛛中的王者,
04:12
leader of all the world’s eight-legged wonders.
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世上所有的蜘蛛都听命于你。
你要谨记,得到无上的权利的同时, 也要肩负起相当大的责任。
04:16
Just remember— with great spider power comes great spider responsibility.
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