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解开大猫军队谜题 – 译学馆
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解开大猫军队谜题

Can you solve the giant cat army riddle? - Dan Finkel

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关注片尾 猜谜有奖
邪恶的思科丁格尔博士发明了一种生长射线
The villainous Dr. Schrödingerhas developed a growth ray
意图打造一支巨猫军队
and intends to create an army of giant cats
在城市发起恐怖活动
to terrorize the city.
你的秘密特工队已跟踪其进入了地下实验室
Your team of secret agents has tracked him to his underground lab.
你们闯入后发现…
You burst in to find…
这是个陷阱!
that it’s a trap!
思科丁格尔博士已溜进了
Dr. Schrödinger has slipped
隔壁房间去激活他的设备
into the next room to activate his device
并破坏了出口的控制板
and disabled the controlpanel on the way out.
幸运的是 你的队友们都是间谍高手
Fortunately, your teammates are masters of spy-craft.
德尔塔特工已经入侵了控制板
Agent Delta has hackedinto the control panel
并试图重新激活它的一些功能
and managed to reactivatesome of its functionality.
与此同时 艾普斯特工通过监控
Meanwhile, agent Epsilon hassearched through surveillance
搜寻到了门的密码
to find the code for the door:
2 10 14
2, 10, 14.
你只需要输入这些数字
All you have to do is enter those
就可顺利脱险
numbers and you ’ ll be free.
但问题是
But there’s a problem.
控制板只有三个按钮:
The control panel has only three buttons:
一个+5的键
one which adds 5 to the display number,
一个+7的键 还有一个根号键
one which adds 7, and one which takes the square root.
你需要让2、10、14这几个数字
You need to make the display output the numbers
依次显示出来
2, 10, and 14, in that order.
输出时它们中间可夹杂其它数字
It’s okay if it outputs differentnumbers in between,
但是无法重设运算
but there’s no way to reset the display,
因此 一旦你运算出了2
so once you get to 2,
接下来 你就得运算出10和14来
you ’ ll have to continue on to 10 and 14 from there.
不仅如此 德尔塔特工解释说
Not only that, Agent Delta explains
控制板还设有其他陷阱
that there are other trapsbuilt into the panel.
如果数字出现了重复
If it ever shows the same numbermore than once,
出现了一个大于60的数 或一个非整数
a number greater than 60, or a non-whole number,
实验室将爆炸
the room will explode.
现在 显示的数字是0 时间飞逝
Right now, the display reads zero,and time is running out.
只能通过一些微小的变动来
There ’ s only one way to solve the puzzle,
解决这一谜题
with a few small variations.
你会怎样输入密码来
How will you input the code to escape
从思科丁格尔博士的巢穴中逃脱
from Dr. Schrödinger ’ s lair
并反败为胜呢?
and save the day?
想自己解决就暂停视频吧!
Pause the video now if you want to figure it out for yourself!
答案揭晓
Answer in:
3
3
2
2
1
1
分析一下你的三个选项
You look over your options.
+5或+7会增大数字
Adding 5 or 7 increases the number,
根号键可减小数字
and the square root buttonwill make it smaller.
但只有少数几个数字可以开方
But there are only a few options where you can use that button:
4 9 16 25 36 和49
4 9 16 25, 36, and 49.
你想得到4或16
You’d love to make 4 or 16.
然后 就可以按根号键 一次或两次 得到数字2
Then you could hit the square root button once or twice to get 2.
但只用+5或+7键是得不到2或4的
But you can ’ t make either with just the 5 and 7 buttons.
你会怎么做呢?
What will you do?
你琢磨着其它几个可以
You look at the other possible options
开方的数字
for numbers you could take the square root of.
9 开方得不到2
Nine you can’t reach.
25和49开方会返回到5或7
Twenty-five and 49 would take you back to5 or 7,
5和7是你本来就拥有的数字
and you can already get to eachof those.
36就是你的唯一选择
Thirty-six is your only option.
你输入 +5 +7 +5 +7 +5 +7
You add 5, 7, 5, 7, 5, 7,
然后按根号键
and then hit the square root button.
为什么要这么组合+5 +7呢?
Why that series of 5s and 7s?
有点儿随意
It’s somewhat arbitrary,
但是你要知道 你得避免出现10 14
but you know that you want to avoid 10, 14,
和完全平方数
and perfect squares,
因为你接下来将需要它们
since you’ll need them later.
这样你就得到了6
This gets you to 6.
它有用吗?
Does that help?
想一下你能按的键 马上就能得到16啦
Looking at your options, you see that 16 is now in your sights.
按两次+5就可以得到了
You add 5 twice more to reach it.
然后按两次根号键
Then hit square root twice.
就可以得到2了
That gets you to 2.
事情进展顺利
You’re on your way!
现在该10了
Now to 10.
简单的相加不能得到10
You can’t get straightthere through addition alone,
因此 你得找个一个可开方的数
so you’re going to haveto reach another square.
对9或25开方 就不错
Taking the square root of 9 or 25 would get you to a good place,
但 结果是2的相加不会得到25
but it turns out that 25is unreachable from 2.
因此 你按+7得到了9
So you add 7 to get to 9,
然后再把9开方
then take the square root again.
得到3
That gets you to 3.
再+7得到10
Adding 7 again makes 10.
最终 你需要得到14
Finally, you need to reach 14.
回顾之前的 思考一下怎么才能得到14
Thinking backwards, you imagine where you could be before 14:
可以用7或9
7 or 9.
但是不能用9 因为已经用过了
But 9 won’t work becauseyou’ve already used 9.
但是 你可以先得到49 再得到7
However, you could get to 7by reaching 49 first.
一直相加就能得到49
You add your way towards it,
注意不要让之前出现过的数字
being careful not to hit any
再显示出来
of the numbers you ’ ve hit so far.
你小心翼翼地避开它们 按五次+5和两次+7
You thread your way carefully, adding five 5s and two 7s. Then,
然后开方 得到7 再按+7
square root to 7, and add 7 more.
门开了 你们离开了陷阱
The door opens,and you’re out of the trap.
多亏了你的解题技巧
Thanks to your problem-solving skills,
你的队员在关键时刻
your team gets Schrödinger ’ s cats out
捕获了思科丁格尔的猫
of the box in the nick of time.
至于思科丁格尔 毫无疑问的是
As for Schrödinger,you can be certain of one thing:
他将自食其果一阵子
he ’ ll be spending quite some time in a box of his own.
想破解另一道数字谜题吗?
Interested in navigating another amazed numbers?
试试这个吧
Try this one now.
你需要由11得到25
You need to get from 11 to 25,
唯一可用的操作是
and the only operations available are
×2或-3
multiplying by 2 or subtracting 3
数字变化次数最少的操作是什么呢?
What’s the fewest number of moves that’s possible in?
感谢BRILLIANT.WORK对本视频的赞助
This puzzle comes courtesy of our sponsor BRILLIANT.WORK
BRILLIANT是磨练你解决问题的技能
BRILLIANT is a great way of honing your problem solving skills
和向数学爱好者们求教的好地方
and learning from a community of fellow math enthusiasts.
论坛气氛很活跃
It features a lively discussion
大家已经探索了多种解决该问题的方法
where people have explored this problem from a variety of approaches,
甚至包括更详尽的其它解题方式
including how to take it one step further.
点击BRILLIANT.ORG/TEDED来加入今日的话题吧
Join the conversation today at BRILLIANT.ORG/TEDED,
或者点击下方的链接发送你的有奖谜题答案
or click the link below to enter your answer to the bonus riddle.
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And if you sign up for a premium membership using one of our links
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you can get 20% off the annual fee.

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视频概述

数字谜题 很有趣的哦 且看 +5 +7 根号三键如何得到2 10 14三数

听录译者

收集自网络

翻译译者

来吧!尉英俊

审核员

审核员@BE

视频来源

https://www.youtube.com/watch?v=YeMVoJKn1Tg

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