Can you solve the fish riddle

你能解决鱼之谜吗

来源视频

You are the cargo director on the maiden voyage of the S.S. Buoyant, and you've agreed to transport several tanks containing the last specimens of a critically endangered fish species to their new aquarium.

Unfortunately, as you're passing through shark-infested waters, the boat is battered by a fierce storm, throwing your precious cargo overboard.

And to make matters worse, no one seems certain just how many fish tanks are missing.

你身为S.S. Buoyant货船首航的船长，同意运送装载着濒危鱼类的数个鱼缸到它们新的水族馆。

不幸的是，在你穿过鲨鱼聚集的水域时，货船遇上了猛烈的风暴， 宝贵的鱼缸被扔下了船体。

更糟糕的是，没人确定少了多少个鱼缸。

Fortunately, you have a rescue sub at your disposal, but only enough fuel for one trip to the ocean floor.

You need to know where the tanks are so you can gather them all in one quick pass.

Not a single fish can be lost. 

You decide to scan the three sectors of the ocean floor where the cargo could have landed.

幸运的是，你手头有一个救援潜艇，但燃料只够去一次海底。

你需要知道鱼缸在哪里，才能一次性的全部收集好它们。

不能丢下任何一个鱼缸。

你决定扫描鱼缸可能掉在海底的三个区域。

Thermal imaging shows 50 organisms in the area, and you quickly realize that that number includes both your fish and some ravenous sharks. 

You flip on the sonar to get a better look. 

The image for Sector Alpha shows four tanks and two sharks, the image for Sector Beta shows two tanks and four sharks, and the image for Sector Gamma is blank. 

Your sonar has malfunctioned, and you're going to have to go with the info you have. 

You check the shipping notes, but all you learn is that each tank had the same number of fish inside. 

The cargo hold had space for anywhere from 1 to 13 total tanks.

热感图像显示区域内有50个生命体，你立刻意识到这个数字既包括了你的鱼，也包括了凶猛的鲨鱼。

你转向雷达，获得更好的图像。

Alpha区域的图像显示有四个水箱和两条鲨鱼，Beta区域的图像显示有两个水箱和四条鲨鱼，Gamma区域的图像一片空白。

你的雷达坏了，你只能使用现有的信息。

你查了查货运记录，只知道每个鱼缸内有着相同数目的鱼。

货船可以容纳1到13个鱼缸。

And finally, the old captain tells you that this area has the odd property that no two sectors can have the same number of sharks, but every sector will have at least one, and no more than seven.

There's no time to waste. 

The tanks won't withstand the pressure much longer. 

As you descend in the sub, you review everything you know.

How many fish tanks do you need to find in Sector Gamma? 

Hurry, the fate of an entire species depends on you.

Pause here if you want to figure it out for yourself. 

Answer in: 3 

Answer in: 2 

Answer in: 1

最后，老船长告诉你这片区域有着奇怪的特性，没有两个区域可以有相同数目的鲨鱼，但是每个区域至少会有一条鲨鱼，不会超过七条。

没有时间可以浪费了。鱼缸不能长时间的承受压力。

当你乘着潜艇下潜时， 你回顾所有你知道的东西。

你需要在Gamma区域找到多少个鱼缸？

快点，整个物种的命运取决于你。

如果你想要自己搞清楚，在这里暂停。

答案：3秒

答案：2秒

答案：1秒

At first, it seems like there are just too many missing pieces of information.

After all, you don't know how many fish or how many tanks there are, let alone how many fish are in each one.

But then you remember the best way to compare multiple pieces of partial information - a table. 

Since we know there are thirteen tanks at most, and we already see six tanks in Sectors Alpha and Beta, we know the total number of tanks must be between 6 and 13. 

We also know that each sector has a different amount of sharks with no more than seven in each one.

Since there are two in Sector Alpha and four in Sector Beta, Sector Gamma can have 1, 3, 5, 6, or 7 sharks.

What about the number of endangered fish?

首先，好像遗漏了好多信息。

毕竟，你不知道有多少个鱼缸，更不要说每个鱼缸里有多少条鱼了。

但是你想起了比较部分信息的最好办法是用一个表格。

既然我们知道最多有13个鱼缸，而且我们已经在Alpha和Beta区域看到了6个鱼缸，那么我们就知道总的鱼缸数目一定在6到13之间。

我们还知道每个区域有不同数目的鲨鱼，而且每个区域最多不会超过7条。

既然Alpha区域有2条，Beta区域有4条，那么Gamma区域可以有1、3、5、6或7条鲨鱼。

有多少条濒危的鱼呢？

Out of the 50 total organisms in all three sectors, we know at least seven are sharks, leaving a maximum of 43 fish inside all the tanks. 

And the more sharks we find in Sector 3, the fewer fish there are to save.

Now, remember that the fish are equally distributed across all the tanks.

Why is that important?

Because it means that one of the possible values for the total amount of fish must be divisible by one of the possible values for the total amount of tanks. 

在三个区域内50个生命体之中，我们知道至少有7条鲨鱼，那么所有鱼缸里至多有43条鱼。

如果在Gamma区域内的鲨鱼越多， 鱼的数量就越小。

记住，所有鱼缸里的鱼的数目是相等的。

为什么这很重要？

因为这意味着可能的鱼的总条数，必须可以被可能的鱼缸数目整除。

And looking at the table, we can see that the only combination that works is 39 fish divided between 13 tanks with three fish in each. 

With sharks swarming around, you quickly pilot the sub through the first two sectors before retrieving the remaining seven tanks in Sector Gamma. 

You've saved the species and taken an impromptu dive. 

All in all, not a bad day, unless you happen to be a hungry shark.

看表格，我们可以发现唯一符合的组合只有39条鱼，分装在13个鱼缸内， 每个鱼缸里有三条。

鲨鱼在旁边游动，你先迅速的救下了前两个区域的鱼，后救回了Gamma区域的7个鱼缸。

你拯救了这个物种，潜水放松了下。

总的来说，不是糟糕的一天， 除非你正好是条饥饿的鲨鱼。