Can you solve the secret sauce riddle

你能解決獨(dú)家秘醬之謎嗎

來源視頻

One of the top chefs from Pasta Palace has been kidnapped by operatives from Burger Bazaar hoping to learn the location of their secret sauce recipe.?

Little do they know that a third party— Sausage Saloon— has sent you to take advantage of the situation.?

As their top spy, your skills range from infiltration and subterfuge, to safecracking and reading faces for signs of deception.

意粉宮餐廳的頂級廚師之一被漢堡殿餐廳工作人員綁架，他們想獲知其秘制醬汁配方藏在哪里。

他們有所不知，第三方餐廳熱狗城也派他們的最高間諜，?也就是你，前來打探。

作為他們的頂級間諜，你精通臥底、詭計、?開保險箱和讀心術(shù)。

You’ve tracked the captors to where they’re holding the chef prisoner.?

From your hiding spot, you can see him on the other side of the glass, while in front of you an interrogator wearing headphones speaks into a microphone.?

“We already know the recipe is on the 13th floor of the bank vault, in a safe deposit box numbered between 13 and 1300.?

Now tell us… Is the number less than 500?”

You can’t hear the chef’s answer, but you can see that he’s lying.?

The interrogator, however, falls for it.

你跟蹤到他們關(guān)押廚師的地方，

從你的藏身之處，?能看到玻璃另一邊的廚師，而在你的面前，戴耳機(jī)的審訊者正對著麥克風(fēng)說話。

“我們得知配方在銀行金庫?13?樓，在編號?13?到?1300?間的保險箱里。

現(xiàn)在告訴我們， 這個數(shù)字小于?500?嗎？”

你聽不到廚師的回答， 但你可以看出他在撒謊，

但審訊者相信了廚師的話。

He follows up by asking, “Is it a perfect square?”?

Again you can’t hear the answer but can tell the chef is lying, while the interrogator takes him at his word.?

He then asks, “Is it a perfect cube?”?

This time the chef answers truthfully.?

The interrogator thinks for a minute and says, “Good. Now if you just tell me whether or not the number’s second digit is a one, we’ll be done here.”?

But as the chef starts to answer, the interrogator stands up, blocking your view.

他接著問道：?“這個數(shù)是完全平方嗎？”

你聽不見答案， 但能看出廚師又撒謊了，而審訊者相信了他的話。

然后他問：“它是完全立方嗎？”

這一次，廚師如實(shí)回答了。

審訊者想了一會兒，說道：“好。 現(xiàn)在只要你告訴我 第二位數(shù)字是不是?1?，你就沒事了?！?/p>

但當(dāng)廚師開始回答時，審訊者站起來，擋住了你的視線。

Within moments he rushes out of the room, announcing that he’s got the answer and is sending agents to retrieve the recipe.?

You know that the Burger Bazaar people have the wrong box number.?

But can you figure out the right one and retrieve the recipe yourself??

Pause the video to figure it out for yourself.?

Answer in 3

Answer in 2?

Answer in 1

不一會兒，他就沖出了房間，宣布他得到了答案，并派人去取配方。

你知道漢堡殿餐廳的人 得到的箱號是錯的，

但你能想出正確的號碼 并拿到配方嗎？

[?若想自己解題，請暫停播放?]

[?答案公布：3 ]

[?答案公布：2 ]

[?答案公布：1 ]

The key here is to work backwards.?

We don’t know what the chef answers to the final question or whether he answers truthfully.

But we do know that by the time the interrogator asks it, he’s narrowed the options down to two numbers– one where the second digit is 1, and one where it isn’t.?

Our goal, then, is to find answers to the previous questions that lead to just two possibilities.

Of the three constraints offered, the one that narrows our options the most is if the number is a perfect cube.?

That leaves us with only eight answers between 13 and 1300.

解題的關(guān)鍵是倒推。

我們不知道最后問題的回答，以及廚師是否撒謊了，

但我們確實(shí)知道，當(dāng)審訊者提問時，他將范圍縮小到兩個數(shù)——一個數(shù)的第二位為?1，而另一個不是。

那么，我們的目標(biāo)是找出導(dǎo)致僅?2?個數(shù)的 先前問題的答案。

在提問的三個問題中，最能縮小我們選項的， 是該數(shù)是否為完全立方，

而?13?到?1300?之間 只有?8?個數(shù)符合要求。

So let’s assume the answer to the third question was a truthful YES.?

Now, let’s look at the second question.?

If the chef answered YES to the number being a perfect square, it would narrow the interrogator’s options to just 64 and 729– the only numbers in our range that are both a square and a cube.

But neither of these has a 1 as the second digit.?

So the given answer to the second question must’ve been NO.?

And that also means we can eliminate these two squares from the interrogator's list, leaving only six numbers.?

Now for the first question, which allows us to divide this list.

假設(shè)第三個問題的答案是真的，接著看第二個問題。

如果廚師回答說它是完全平方，那么審訊者的選項 縮小為?64?和?729——只有這兩個數(shù) 同時是完全平方完全立方。

但這兩個數(shù)的第二位都不是?1，

所以，第二個問題的答案 肯定是否定的，

也就是說，可以把這兩個數(shù) 從審訊者的選項中刪掉，這樣，只剩下六個數(shù)字。

現(xiàn)在回到第一個問題， 可以把候選答案一分為二。

If the chef answered YES to the number being less than 500, we’d have four options, which is too many.?

But a NO leaves us with two numbers greater than 500, one of which does have a 1 as its second digit.?

We don’t know which of these numbers the interrogator thinks is correct.?

But that doesn’t matter– remember, his conclusion was based on lies.?

You, on the other hand, are now in a position to reconstruct the truth.

數(shù)字是否小于?500?的問題， 如果廚師回答“是”，我們有四個選項，太多了。

若廚師的回答是“否”的話， 則只有兩個數(shù)字大于?500，其中一個數(shù)的第二位是?1。

我們不知道審訊者選了哪個數(shù)，

但沒關(guān)系——記住，他的結(jié)論是基于謊言得出的，

也就是說，你現(xiàn)在可以得出正確結(jié)論。

First, the chef said the number was greater than 500 but lied, meaning it’s actually less than 500.?

Second, the chef said it wasn’t a perfect square but lied again, meaning the number is indeed a square.?

And finally, he truthfully confirmed that it was also a cube.?

And as we’ve already seen, the only number under 500 that’s both a square and a cube is 64.?

You find the secret recipe and are gone before anyone’s the wiser.

Corporate espionage is not an easy game— but sometimes, that’s just how the sausage is made.

首先，廚師謊稱數(shù)字大于 500，這意味著它實(shí)際上小于 500；

其次，廚師謊稱它不是完全平方，而實(shí)際上它是完全平方；

最后，他承認(rèn)它完全立方。

正如我們已經(jīng)看到的那樣，小于 500 的數(shù)中，只有 64 同時完全平方和完全立方。

在其他人弄明白前， 你成功拿到秘方后離開了。

企業(yè)間諜活動并非易事 ——但有時，就是僅為得到香腸配方。