Can you outsmart Fate and break her ancient curse?

==========【原文】==========

Legend has it, hundreds of years ago a distant ancestor of yours stole a magical tarot deck from Fate herself. Today, your family is known the world over as the world’s greatest fortune tellers. While the deck has increased your fortunes many times over, it came with a terrible cost. Once every 23 years, a door appears in your house. One member of your family must enter, and face Fate in a duel with arcane rules only known to your opponent. And every time, generation after generation, the outcome is the same: Fate claims their soul. 23 years ago, your father accepted the challenge and lost.?

Today, it’s your turn.?

You’re pacing the dueling room when you stumble across something that just might change everything: your father hid a camera in the room.?

The tape shows him lay out the 22 cards of the major Arcana. Fate then places an additional card, the Soul, and speaks: “You may take any card that has at least one factor on the table. I’ll then receive every factor. Take the Tower, for example. It is 16, with factors 1, 2, 4, and 8. Those now belong to me, making our score 16 to 15. If your total at the end of the game is higher than mine, you’ll win. Play again and know that if you run out of moves, I’ll take all the cards that remain. ”?

As the game continues, Fate remarks that if your father were to win and hold the 10, that would grant him great fortune. 6, true love. And the 2 would end the family curse forever. But none of that matters because in the end his total comes up short.?

As the video turns to static, Fate arrives. Feeling as if you’re in a dream, you hear her offer you the Tower to begin the game.?

How can you defeat Fate, and what other good fortune can you win for yourself??

Pause here to figure it out for yourself. Answer in 3?

Answer in 2?

Answer in 1?

If you want to outplay Fate, you’ll need to take the long view. Accepting the 16 gives Fate the 1, 2, 4, and 8. She effectively has the 23, 19, 17, and 13 too, since you can’t take prime numbers once 1 is off the board. Smaller primes like 11, 7, 5, and 3 will also go to Fate, but you’ll be able to take their multiples, like 22 and 21.?

That means these are the remaining cards in play. You can eventually claim at most half of them, rounded down, since Fate gets at least one for each card you take. So the best you can possibly do is take the seven largest cards. Add those together with the 16 and your total would be 138. And Fate’s total? Also, 138. Ties go to Fate, so it’s clear that by offering your ancestors the 16 before explaining the full rules, Fate has been manipulating the game to guarantee her victory. But thanks to your father, you now know better.?

Speaking of your family, if you want to take the 2 and break the curse, you’ll have to do it on your first turn, since it’s prime. If you do, Fate will get 1, and once again, Fate is guaranteed the high primes.?

In theory, you can get at most 8 of the remaining 17 cards. Taking the eight largest would give you a nail-bitingly narrow victory of 140 to 136. But is it possible??

You need Fate to get as few cards as possible for each one you take. You can start with the 22 and 14. With the 7 gone, you can take the 21, then the 15. You still need these, and the next one you take will give Fate two cards. That’s okay though. Try the 16, for example, and Fate gets the 4 and the 8, but you’ll still get the 12, the 18, and the 20.?

Following similar reasoning, you could take the 23 on your first turn and win the 10 or the 6. But claiming more than one reward is impossible. So do you take wealth, love, or break the curse? Fate is waiting, but the choice is up to you.?

==========【譯文】==========

傳說，幾百年前你的遠(yuǎn)祖從命運(yùn)手上偷走了一疊神奇的塔羅牌。如今，你的家族被世人認(rèn)為是世界上最偉大的占卜師。雖然這副牌讓你的財(cái)富與日俱增，隨之而來的是可怕的代價(jià)。每隔23年，一扇門會出現(xiàn)在你的房子里。你的一位家庭成員必須進(jìn)入，并在決斗中面對命運(yùn)，而且只有你的對手知道神秘的規(guī)則。而每一次，一代又一代，結(jié)果都是一樣的：命運(yùn)奪去了他們的靈魂。23年前，你父親接受了挑戰(zhàn)然后輸了。

今天，輪到你了。

你在決斗室中踱步，突然發(fā)現(xiàn)了一個可能改變一切的東西：你父親在房間里藏了一臺相機(jī)。

錄音帶顯示，他把大阿卡那牌的22張牌擺了出來。命運(yùn)又出了一張靈魂牌，說道：“你可以拿走桌上至少有一個因數(shù)的牌。然后我會收走它的因數(shù)對應(yīng)的牌。以塔牌為例。它是16，因數(shù)為1、2、4和8。這些牌現(xiàn)在都?xì)w我了，所以我們是16比15。如果你在比賽結(jié)束時的總和比我高，那就你贏。再玩一次，如果我知道你沒招了，我就會把剩下的牌都拿走?！?/p>

隨著游戲的繼續(xù)，命運(yùn)說，如果你的父親要贏了，手上還拿著10號牌，那就會給他巨大的財(cái)富。拿著6號牌（戀人），就會獲得真愛。拿著2號牌（女祭司）就可以永遠(yuǎn)結(jié)束家族詛咒。但這些都不重要，因?yàn)樽詈?，他的總和會輸?/p>

視頻播完了，命運(yùn)來了。你感覺好像在夢中，聽到她給了你塔牌，開始了游戲。

你怎么才能打敗命運(yùn)，你還能為自己贏得什么財(cái)富呢？

暫停一下，自己想一想。答案在3秒后揭曉，

答案在2秒后揭曉，

答案在1秒后揭曉。

如果你想勝過命運(yùn)，你需要從長遠(yuǎn)來看。接受16會給命運(yùn)1、2、4和8。她絕對能拿到23、19、17和13，因?yàn)橹灰?不在桌子上，你就不可能拿走素?cái)?shù)牌。小的素?cái)?shù)，如11、7、5和3也會交給命運(yùn)，但是你可以取它們的倍數(shù)，比如22和21。

剩下的就是這些牌。向下取整，你最后最多可以得到其中的一半，因?yàn)槟忝磕米咭粡埮?，命運(yùn)至少可以拿走一張牌。所以你的最佳選擇就是拿七張最大的牌。將這些與16加在一起，你的總和將是138。命運(yùn)的分?jǐn)?shù)是多少？也是138。如果打平，算是命運(yùn)贏，所以很明顯，在解釋完整規(guī)則之前把16交給你的祖先，命運(yùn)一直在操縱游戲，以保證她的勝利。但多虧了你父親，你現(xiàn)在更明白了。

說到你的家人，如果你想拿2去打破詛咒，你必須在你的第一回合就這么做，因?yàn)樗且粋€素?cái)?shù)。如果你這樣做了，命運(yùn)就會拿到1，同樣，命運(yùn)絕對能拿到大的素?cái)?shù)。

理論上，在剩下的17張牌中，你最多能拿到8張。拿下最大的八張牌會讓你以140比136的微弱優(yōu)勢獲勝。但這可能嗎？

你每拿一張牌，都得讓命運(yùn)拿走盡可能少的牌。你可以從22和14開始。然后7會被拿走，你可以拿21，然后15。你還是需要這些牌的，你拿的下一張牌會讓命運(yùn)拿走兩張牌。不過沒關(guān)系。以16為例，命運(yùn)得到4和8，但你可以拿走12、18和20。

同樣的道理，你可以在第一回拿23，贏走10或6。但你不可能贏走超過一個獎勵。那么你會選財(cái)富、愛，還是打破詛咒？命運(yùn)在等待，但選擇取決于你。