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

1,539,113 views ・ 2023-05-25

TED-Ed


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譯者: Lilian Chiu 審譯者: Helen Chang
00:07
Legend has it, hundreds of years ago a distant ancestor of yours
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相傳在數百年前,你的遠古祖先
00:11
stole a magical tarot deck from Fate herself.
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從命運手上偷走了 一副魔法塔羅牌。
00:15
Today, your family is known the world over as the world’s greatest fortune tellers.
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現今,你的家族聞名世界,
被認為是世界上最偉大的占卜師。
00:21
While the deck has increased your fortunes many times over,
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雖然這副牌讓你的財富翻了好幾倍,
00:24
it came with a terrible cost.
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要付出的代價也很可怕。
00:27
Once every 23 years, a door appears in your house.
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每二十三年,就會有一扇門 出現在你的房子裡。
00:31
One member of your family must enter,
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你的家族必須要派一位成員進入,
00:34
and face Fate in a duel with arcane rules only known to your opponent.
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和命運對決,
對決的神秘規則 只有你的對手才知道。
00:40
And every time, generation after generation,
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每一次,不論是哪個世代,
00:43
the outcome is the same:
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結果都一樣:
00:45
Fate claims their soul.
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命運取走了他們的靈魂。
00:47
23 years ago, your father accepted the challenge and lost.
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二十三年前,你的父親 接受了挑戰結果輸了。
00:52
Today, it’s your turn.
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今天輪到你了。
00:54
You’re pacing the dueling room when you stumble across something
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你在對決的房間中踱步時, 偶然發現了一件事,
00:59
that just might change everything:
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可能可以改變一切:
01:01
your father hid a camera in the room.
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你的父親在房間中藏了一台攝影機。
01:05
The tape shows him lay out the 22 cards of the major Arcana.
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錄影帶顯示他排出了 二十二張大阿爾克納牌。
01:11
Fate then places an additional card, the Soul, and speaks:
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接著,命運額外放了一張牌,
靈魂,並說:
01:16
“You may take any card that has at least one factor on the table.
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「你可以拿桌上任何一張 至少有一個因數的牌。
01:21
I’ll then receive every factor.
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接著我就會接收每一個因數。
01:24
Take the Tower, for example.
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以高塔為例。
01:27
It is 16, with factors 1, 2, 4, and 8.
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它的數字是十六, 因數有一、二、四,及八。
01:32
Those now belong to me, making our score 16 to 15.
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那些現在就屬於我,
我們的分數變成十六比十五。
01:37
If your total at the end of the game is higher than mine, you’ll win.
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如果遊戲結束時你的總分比我高,
就是你贏。
01:43
Play again and know that if you run out of moves,
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再玩一次,且要知道 當你沒有牌可以再拿時,
01:46
I’ll take all the cards that remain.”
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剩下的牌就都歸我。」
01:49
As the game continues,
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隨著遊戲進行,命運提到
01:50
Fate remarks that if your father were to win and hold the 10,
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如果你的父親能贏且持有十,
01:55
that would grant him great fortune.
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就能得到一大筆財富。
01:57
6, true love.
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持有六,能得到真愛。
01:59
And the 2 would end the family curse forever.
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持有二,就能讓 家族的詛咒就此結束。
02:03
But none of that matters because in the end his total comes up short.
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但這些都無所謂,因為最終,
他的總分不夠。
02:08
As the video turns to static, Fate arrives.
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當影像變成雜訊時,命運抵達了。
02:12
Feeling as if you’re in a dream,
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感覺好像在作夢一樣,
02:14
you hear her offer you the Tower to begin the game.
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你聽到她建議你拿高塔來展開遊戲。
02:17
How can you defeat Fate,
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你要如何打敗命運?
02:19
and what other good fortune can you win for yourself?
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你還能為自己贏得哪些其他的獎勵?
02:23
Pause here to figure it out for yourself. Answer in 3
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若要自行解題,在此暫停。 答案即將公佈:三。
02:25
Answer in 2
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答案即將公佈:二。
02:29
Answer in 1
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答案即將公佈:一。
02:31
If you want to outplay Fate, you’ll need to take the long view.
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如果你想在遊戲中贏過命運, 就得把眼光放遠。
02:35
Accepting the 16 gives Fate the 1, 2, 4, and 8.
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若接受十六,
就會讓命運得到一、二、四,和八。
02:40
She effectively has the 23, 19, 17, and 13 too,
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她實際上也擁有二十三、
十九、十七,以及十三,
02:46
since you can’t take prime numbers once 1 is off the board.
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因為 “一” 被拿走之後, 你就不能拿任何質數了。
02:50
Smaller primes like 11, 7, 5, and 3 will also go to Fate,
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較小的質數,如十一、 七、五,及三,
也會到命運手上,
02:57
but you’ll be able to take their multiples, like 22 and 21.
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但你可以取得它們的乘積, 如二十二和二十一。
03:02
That means these are the remaining cards in play.
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那就表示還剩下的牌就是這些了。
03:06
You can eventually claim at most half of them, rounded down,
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你最終最多只能取得 這些牌的一半,取下限整數,
03:10
since Fate gets at least one for each card you take.
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因為你每拿一張牌, 命運就能得到至少一張牌。
03:14
So the best you can possibly do is take the seven largest cards.
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所以你能做到最好的方式,
就是拿走最大的七張牌。
03:19
Add those together with the 16 and your total would be 138.
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把它們和十六加總,
你的總分就是一百三十八。
03:24
And Fate’s total? Also, 138.
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命運的總分呢?也是一百三十八。
03:27
Ties go to Fate, so it’s clear that by offering your ancestors the 16
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平手就算命運贏,
很顯然,在解釋完整的規則之前,
03:33
before explaining the full rules,
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只要建議你的祖先從十六開始,
03:35
Fate has been manipulating the game to guarantee her victory.
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命運就能操弄遊戲, 並保證自己能贏。
03:40
But thanks to your father, you now know better.
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但感謝你的父親,你知道得更多。
03:43
Speaking of your family, if you want to take the 2 and break the curse,
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說到你的家族,如果 你想要拿到二並破除詛咒,
03:48
you’ll have to do it on your first turn, since it’s prime.
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你在第一輪就得拿,因為二是質數。
03:52
If you do, Fate will get 1,
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如果你拿了二,命運會拿到一,
03:54
and once again, Fate is guaranteed the high primes.
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同樣的,命運也一定能拿到大質數。
03:58
In theory, you can get at most 8 of the remaining 17 cards.
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理論上,剩下的十七張牌 你最多可以拿到八張。
04:03
Taking the eight largest would give you a nail-bitingly narrow victory
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拿走最大的八個數字,能讓你險勝:
04:08
of 140 to 136.
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一百四十比一百三十六。
04:12
But is it possible?
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但,有可能嗎?
04:14
You need Fate to get as few cards as possible for each one you take.
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你每拿一張牌,都得盡可能 讓命運得到最少張牌。
04:19
You can start with the 22 and 14.
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你可以從二十二和十四開始。
04:22
With the 7 gone, you can take the 21, then the 15.
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七不在了,你就可以拿二十一,
接著拿十五。
04:27
You still need these, and the next one you take will give Fate two cards.
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你還需要這些牌,你拿下一張牌時,
會讓命運得到兩張牌。
04:32
That’s okay though.
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但沒關係。
04:33
Try the 16, for example, and Fate gets the 4 and the 8,
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比如,試試十六, 命運會拿到四和八,
04:38
but you’ll still get the 12, the 18, and the 20.
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但你仍然能拿到 十二、十八,和二十。
04:43
Following similar reasoning,
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用類似的推論,
04:44
you could take the 23 on your first turn and win the 10 or the 6.
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你可以在第一輪拿二十三,
贏到十或是六。
04:50
But claiming more than one reward is impossible.
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但最多只可能得到一個獎勵。
04:54
So do you take wealth, love, or break the curse?
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所以你要財富、愛情, 還是打破詛咒?
04:58
Fate is waiting, but the choice is up to you.
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命運在等待,但選擇權是你的。
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