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.
意粉宮一個名廚 被漢堡殿的特工擄走了 想套出秘醬配方收藏的地點 殊不知黃雀在後 三分鼎足的熱狗城 特派你潛入,希望漁人得利 臥底佯裝、詭計多端、智破保險庫 眉目悉謊言就是你這大密探的武器
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.
你追蹤綁匪,找到名廚俘虜的位置 暗中視察,看到囚在玻璃後的名廚 眼前則有審問者,頭戴耳機 對著麥克風說話
“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?”
「我們查出秘方藏在保險庫 13 樓 編號 13 至 1300 其中一個保險箱 請回答:編號是否小於 500?」
You can’t hear the chef’s answer, but you can see that he’s lying. The interrogator, however, falls for it. 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.
聽不到名廚答話但看得出他在撒謊 審問者卻不虞有詐 續問:「編號是否完全平方數?」 你同樣聽不到答案但看出他在撒謊 但審問者深信不疑 再問:「編號是否完全立方數?」 今次名廚如實作答
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. Within moments he rushes out of the room, announcing that he’s got the answer and is sending agents to retrieve the recipe.
審問者想了一想,然後說 「最後一條:編號第二位數是否 1 答完這條就好了」 就在名廚正要作答時 審問者站了起來,遮擋了你的視線 一瞬間他就衝出了房間 說他找到答案了,正派人取秘方
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?
你知道漢堡殿找錯了編號 但你能否得出正確編號找到秘方?
Pause the video to figure it out for yourself.
要嘗試解謎,請按一下「暫停」
Answer in 3
揭曉倒數:3
Answer in 2
揭曉倒數:2
Answer in 1
揭曉倒數: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.
解題關鍵是用倒推法 最後一條的答案,我們不知道 亦不知道那一題名廚是否說實話 但我們知道,審問者問那一題時 心中把數字收窄到兩個數字 一個第二位數是 1,另一個不是 1
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. So let’s assume the answer to the third question was a truthful YES.
我們的目標就是找出之前的問題 甚麼答案只得出兩個可能數 三項制限中 最能收窄範圍的是完全立方數這條 從 13 到 1300 可篩出僅 18 個數字 先假設第三題的答案的確如「是」
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.
再看回第二題 若名廚作答編號「是」完全平方數 審問者心中只剩下 64 和 729 範圍內同為平方和立方的這兩個數 但兩者第二位數都不是 1 因此第二條作答必定是「否」 我們亦可撇除這兩個平方數 清單就剩下 6 個數字
Now for the first question, which allows us to divide this list. 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.
再看第一題,怎樣將清單劃分 若名廚作答編號「是」小於 500 清單有四個選項,就太多了 若「否」清單中大於 500 有兩個數 其中一個,第二位數的確是 1
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.
我們不知道審問者以為哪一個正確 但這並不重要 還記得,他是立足於謊話之上結論 說到這裡,你的線索足以重組真相
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.
首先,名廚撒謊說數字大於 500 代表數字實際上小於 500 其次,名廚撒謊說不是完全平方數 代表數字真的是完全平方數 最後名廚坦承數字亦是完全立方數 答案呼之欲出 500 以下同為平方和立方數只有 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.
你捷足先登,秘醬配方得手而回 商業間諜著實不容易 或許秘方正是靠這得來的