Can you solve the giant iron riddle

你能解開(kāi)巨大的熨斗之謎嗎

來(lái)源視頻

The family of giants you work for is throwing a fancy dinner party, and they all want to look their best.?

But there’s a problem – the elder giant’s favorite shirt is wrinkled!?

To fix it, you’ll need to power up… the Giant Iron.

你工作的巨人家庭打算開(kāi)一個(gè)別開(kāi)?生面的晚會(huì)派對(duì)，所以他們都希望凸顯?自己最好的一面。

但是，有個(gè)問(wèn)題——比較年長(zhǎng)的巨人 最喜歡的衣服皺了！

為了解決它，你 需要啟動(dòng)……巨大的熨斗。

The iron needs two giant batteries to work.?

You just had 4 working ones and 4 dead ones in separate piles, but it looks like the baby giant mixed them all up.

You need to get the iron working and press the giant shirt, fast – or you’ll end up being the main course tonight!

How can you test the batteries so that you’re guaranteed to get a working pair in 7 tries or less??

Pause the video now if you want to figure it out for yourself?

Answer in 3

Answer in 2

Answer in 1

這個(gè)巨大的熨斗需要 兩個(gè)巨大的電池運(yùn)作。

你只有四個(gè)正常運(yùn)作的電池，還有四個(gè)耗損了的電池 在不同的電池堆里，但是看來(lái)巨人寶寶把 它們給混在一起了。

你需要讓熨斗運(yùn)作，然后 燙巨人的衣服，而且要很快——不然的話，你就是今晚的主菜！

你能夠如何測(cè)試電池，以確保你能夠在七個(gè)或以下的 嘗試內(nèi)就找到一對(duì)可用的電池？

若你想自己想想方法， 請(qǐng)暫停影片。

答案在3秒后出現(xiàn)

答案在2秒后出現(xiàn)

答案在1秒后出現(xiàn)

You could, of course, take all eight batteries and begin testing the 28 possible combinations.

You might get lucky within the first few tries.?

But if you don’t, moving the giant batteries that many times will take way too long.?

You can’t rely on luck – you need to assume the worst possibility and plan accordingly.

However, you don’t actually need to test every possible combination.

你當(dāng)然可以拿全部八個(gè)電池，然后開(kāi)始試試二十八 個(gè)可能的組合。

你可能在初開(kāi)始的 幾個(gè)嘗試就很幸運(yùn)。

但是若不然，移動(dòng) 大電池這么多次會(huì)消耗太多時(shí)間。

你不能靠運(yùn)氣——你需要作最壞的打算， 然后做好策劃。

但是，你其實(shí)不需要 嘗試所有的可能組合。

Remember – there are four good batteries in total, meaning that any pile of six you choose will have at least two good batteries in it.?

That doesn’t help you right away, since testing all six batteries could still take as many as 15 tries.?

But it does give you a clue to the solution – dividing the batteries into smaller subsets narrows down the possible results.

So instead of six batteries, let’s take any three.?

This group has a total of three possible combinations.

Since both batteries have to be working for the iron to power up, a single failure can’t tell you whether both batteries are dead, or just one.

But if all three combinations fail, then you’ll know this group has either one good battery, or none at all.

記得——總共有 四個(gè)好的電池。

也就是說(shuō)在任何六個(gè)電池的組合里，會(huì)有至少兩個(gè)好的電池。

那沒(méi)有直接幫助到你，因?yàn)閲L試所有六粒電池 還是需要十五次的嘗試。

但是，它給了你 解決方案的提示——把電池分成小組縮小可能的結(jié)果。

所以，與其六個(gè)電池，讓我們拿任何三個(gè)。這個(gè)小組有三個(gè)組合。

因?yàn)橐岇俣愤\(yùn)作需要 兩個(gè)電池都正常運(yùn)作，其中一個(gè)失敗并不會(huì)告訴你是兩個(gè) 電池都不能用，還是只是其中一個(gè)。

但是若三個(gè)組合都失敗，你就能夠知道這個(gè)小組里是有 一個(gè)好的電池，或一個(gè)也沒(méi)有。

Now you can set those three aside and repeat the process for another three batteries.?

You might get a match, but if every combination fails again, you’ll know this set can have no more than one good battery.?

That would leave only two batteries untried.?

Since there are four good batteries in total and you’ve only accounted for two so far, both of these remaining ones must be good.?

Dividing the batteries into sets of 3, 3, and 2 is guaranteed to get a working result in 7 tries or less, no matter what order you test the piles in.?

With no time to spare, the iron comes to life, and you manage to get the shirt flawlessly ironed.?

The pleased elder and his family show up to the party dressed to the nines … well, almost.

現(xiàn)在你可以把這 三個(gè)放在一邊了然后重復(fù)同樣的過(guò)程 在在另外三個(gè)電池。

你有可能得到對(duì)的組合， 但是若每個(gè)組合都又失敗，那你就知道這個(gè)組合不可能 有超過(guò)一個(gè)好的電池。

那最后你剩下兩個(gè)還未試過(guò)的電池。

因?yàn)榭偣灿兴膫€(gè)好的電池而你只處理了兩個(gè)，這剩下的兩個(gè)必然是好的。

把電池分成三、三、二，必然能夠在七次嘗試 找到可行的結(jié)果，無(wú)論你是用什么次序嘗試。在沒(méi)有剩余時(shí)間的情況下， 熨斗開(kāi)始運(yùn)作了，而你也成功地把衣服 沒(méi)有瑕疵地燙好了。

那個(gè)歡喜的年長(zhǎng)巨人和他的 家人衣著隆重地參加了派對(duì)……嗯，差不多如此。