Can you outsmart Fate and break her ancient curse? - Dan Finkel

949,718 views ・ 2023-05-25

TED-Ed


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翻译人员: Sophia Ye 校对人员: Yip Yan Yeung
00:07
Legend has it, hundreds of years ago a distant ancestor of yours
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传说,几百年前你的远祖
00:11
stole a magical tarot deck from Fate herself.
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从命运手上偷走了 一叠神奇的塔罗牌。
00:15
Today, your family is known the world over as the world’s greatest fortune tellers.
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如今,你的家族被世人认为是 世界上最伟大的占卜师。
00:21
While the deck has increased your fortunes many times over,
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虽然这副牌让你的财富与日俱增,
00:24
it came with a terrible cost.
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随之而来的是可怕的代价。
00:27
Once every 23 years, a door appears in your house.
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每隔 23 年,一扇门 会出现在你的房子里。
00:31
One member of your family must enter,
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你的一位家庭成员必须进入,
00:34
and face Fate in a duel with arcane rules only known to your opponent.
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并在决斗中面对命运, 而且只有你的对手知道神秘的规则。
00:40
And every time, generation after generation,
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而每一次,一代又一代,
00:43
the outcome is the same:
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结果都是一样的:
00:45
Fate claims their soul.
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命运夺去了他们的灵魂。
00:47
23 years ago, your father accepted the challenge and lost.
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23 年前,你父亲 接受了挑战然后输了。
00:52
Today, it’s your turn.
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今天,轮到你了。
00:54
You’re pacing the dueling room when you stumble across something
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你在决斗室中踱步,突然发现了
00:59
that just might change everything:
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一个可能改变一切的东西:
01:01
your father hid a camera in the room.
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你父亲在房间里藏了一台相机。
01:05
The tape shows him lay out the 22 cards of the major Arcana.
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录音带显示,他把大阿卡那牌的 22 张牌摆了出来。
01:11
Fate then places an additional card, the Soul, and speaks:
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命运又出了一张灵魂牌,说道:
01:16
“You may take any card that has at least one factor on the table.
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“你可以拿走桌上 至少有一个因数的牌。
01:21
I’ll then receive every factor.
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然后我会收走它的因数对应的牌。
01:24
Take the Tower, for example.
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以塔牌为例。
01:27
It is 16, with factors 1, 2, 4, and 8.
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它是 16,因数为 1、2、4 和 8。
01:32
Those now belong to me, making our score 16 to 15.
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这些牌现在都归我了, 所以我们是 16 比 15。
01:37
If your total at the end of the game is higher than mine, you’ll win.
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如果你在比赛结束时的总和 比我高,那就你赢。
01:43
Play again and know that if you run out of moves,
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再玩一次,如果我知道你没招了,
01:46
I’ll take all the cards that remain.”
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我就会把剩下的牌都拿走。”
01:49
As the game continues,
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随着游戏的继续,
01:50
Fate remarks that if your father were to win and hold the 10,
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命运说,如果你的父亲要赢了, 手上还拿着 10 号牌,
01:55
that would grant him great fortune.
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那就会给他巨大的财富。
01:57
6, true love.
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拿着 6 号牌(恋人), 就会获得真爱。
01:59
And the 2 would end the family curse forever.
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拿着 2 号牌(女祭司) 就可以永远结束家族诅咒。
02:03
But none of that matters because in the end his total comes up short.
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但这些都不重要,因为 最后,他的总和会输。
02:08
As the video turns to static, Fate arrives.
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视频播完了,命运来了。
02:12
Feeling as if you’re in a dream,
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你感觉好像在梦中,
02:14
you hear her offer you the Tower to begin the game.
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听到她给了你塔牌,开始了游戏。
02:17
How can you defeat Fate,
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你怎么才能打败命运,
02:19
and what other good fortune can you win for yourself?
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你还能为自己赢得什么财富呢?
02:23
Pause here to figure it out for yourself. Answer in 3
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暂停一下,自己想一想。 答案在 3 秒后揭晓,
02:25
Answer in 2
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答案在 2 秒后揭晓,
02:29
Answer in 1
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答案在 1 秒后揭晓。
02:31
If you want to outplay Fate, you’ll need to take the long view.
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如果你想胜过命运, 你需要从长远来看。
02:35
Accepting the 16 gives Fate the 1, 2, 4, and 8.
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接受 16 会给命运 1、2、4 和 8。
02:40
She effectively has the 23, 19, 17, and 13 too,
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她绝对能拿到 23、19、17 和 13,
02:46
since you can’t take prime numbers once 1 is off the board.
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因为只要 1 不在桌子上, 你就不可能拿走素数牌。
02:50
Smaller primes like 11, 7, 5, and 3 will also go to Fate,
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小的素数,如 11、7、5 和 3 也会交给命运,
02:57
but you’ll be able to take their multiples, like 22 and 21.
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但是你可以取它们的倍数, 比如 22 和 21。
03:02
That means these are the remaining cards in play.
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剩下的就是这些牌。
03:06
You can eventually claim at most half of them, rounded down,
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向下取整,你最后最多 可以得到其中的一半,
03:10
since Fate gets at least one for each card you take.
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因为你每拿走一张牌, 命运至少可以拿走一张牌。
03:14
So the best you can possibly do is take the seven largest cards.
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所以你的最佳选择就是 拿七张最大的牌。
03:19
Add those together with the 16 and your total would be 138.
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将这些与 16 加在一起, 你的总和将是 138。
03:24
And Fate’s total? Also, 138.
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命运的分数是多少? 也是 138。
03:27
Ties go to Fate, so it’s clear that by offering your ancestors the 16
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如果打平,算是命运赢, 所以很明显,在解释完整规则之前
03:33
before explaining the full rules,
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把 16 交给你的祖先,
03:35
Fate has been manipulating the game to guarantee her victory.
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命运一直在操纵游戏, 以保证她的胜利。
03:40
But thanks to your father, you now know better.
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但多亏了你父亲,你现在更明白了。
03:43
Speaking of your family, if you want to take the 2 and break the curse,
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说到你的家人, 如果你想拿 2 去打破诅咒,
03:48
you’ll have to do it on your first turn, since it’s prime.
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你必须在你的第一回合就这么做, 因为它是一个素数。
03:52
If you do, Fate will get 1,
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如果你这样做了, 命运就会拿到 1,
03:54
and once again, Fate is guaranteed the high primes.
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同样,命运绝对能拿到大的素数。
03:58
In theory, you can get at most 8 of the remaining 17 cards.
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理论上,在剩下的 17 张牌中, 你最多能拿到 8 张。
04:03
Taking the eight largest would give you a nail-bitingly narrow victory
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拿下最大的八张牌会让你以
04:08
of 140 to 136.
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140 比 136 的微弱优势获胜。
04:12
But is it possible?
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但这可能吗?
04:14
You need Fate to get as few cards as possible for each one you take.
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你每拿一张牌,都得让 命运拿走尽可能少的牌。
04:19
You can start with the 22 and 14.
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你可以从 22 和 14 开始。
04:22
With the 7 gone, you can take the 21, then the 15.
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然后 7 会被拿走, 你可以拿 21,然后 15。
04:27
You still need these, and the next one you take will give Fate two cards.
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你还是需要这些牌的, 你拿的下一张牌会让命运拿走两张牌。
04:32
That’s okay though.
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不过没关系。
04:33
Try the 16, for example, and Fate gets the 4 and the 8,
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以 16 为例,命运得到 4 和 8,
04:38
but you’ll still get the 12, the 18, and the 20.
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但你可以拿走 12、18 和 20。
04:43
Following similar reasoning,
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同样的道理,
04:44
you could take the 23 on your first turn and win the 10 or the 6.
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你可以在第一回拿 23, 赢走 10 或 6。
04:50
But claiming more than one reward is impossible.
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但你不可能赢走超过一个奖励。
04:54
So do you take wealth, love, or break the curse?
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那么你会选财富、爱,还是打破诅咒?
04:58
Fate is waiting, but the choice is up to you.
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命运在等待,但选择取决于你。
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