Can you solve the giant iron riddle? - Alex Gendler

2,586,373 views ・ 2018-11-27

TED-Ed


请双击下面的英文字幕来播放视频。

翻译人员: Meng Chew Keane Leow 校对人员: Tianji (Homer) Li
00:07
The family of giants you work for
0
7881
2360
你工作的巨人家庭
00:10
is throwing a fancy dinner party,
1
10241
2190
打算开一个别开 生面的晚会派对,
00:12
and they all want to look their best.
2
12431
2320
所以他们都希望凸显 自己最好的一面。
00:14
But there’s a problem –
3
14751
1270
但是,有个问题——
00:16
the elder giant’s favorite shirt is wrinkled!
4
16021
3220
比较年长的巨人 最喜欢的衣服皱了!
00:19
To fix it, you’ll need to power up…
5
19241
2390
为了解决它,你 需要启动……
00:21
the Giant Iron.
6
21631
2250
巨大的熨斗。
00:23
The iron needs two giant batteries to work.
7
23881
3040
这个巨大的熨斗需要 两个巨大的电池运作。
00:26
You just had 4 working ones
8
26921
1850
你只有四个正常运作的电池,
00:28
and 4 dead ones in separate piles,
9
28771
2740
还有四个耗损了的电池 在不同的电池堆里,
00:31
but it looks like the baby giant mixed them all up.
10
31511
3260
但是看来巨人宝宝把 它们给混在一起了。
00:34
You need to get the iron working and press the giant shirt, fast –
11
34771
3790
你需要让熨斗运作,然后 烫巨人的衣服,而且要很快——
00:38
or you’ll end up being the main course tonight!
12
38561
3190
不然的话,你就是今晚的主菜!
00:41
How can you test the batteries
13
41751
1650
你能够如何测试电池,
00:43
so that you’re guaranteed to get a working pair in 7 tries or less?
14
43401
4970
以确保你能够在七个或以下的 尝试内就找到一对可用的电池?
00:48
Pause the video now if you want to figure it out for yourself
15
48371
3630
若你想自己想想方法, 请暂停影片。
00:52
Answer in 3
16
52001
1040
答案在3秒后出现
00:53
Answer in 2
17
53041
1160
答案在2秒后出现
00:54
Answer in 1
18
54201
1460
答案在1秒后出现
00:55
You could, of course, take all eight batteries
19
55671
2192
你当然可以拿全部八个电池,
00:57
and begin testing the 28 possible combinations.
20
57863
3300
然后开始试试二十八 个可能的组合。
01:01
You might get lucky within the first few tries.
21
61163
2620
你可能在初开始的 几个尝试就很幸运。
01:03
But if you don’t, moving the giant batteries that many times
22
63783
3350
但是若不然,移动 大电池这么多次
01:07
will take way too long.
23
67133
1760
会消耗太多时间。
01:08
You can’t rely on luck –
24
68893
1520
你不能靠运气——
01:10
you need to assume the worst possibility and plan accordingly.
25
70413
4550
你需要作最坏的打算, 然后做好策划。
01:14
However, you don’t actually need to test every possible combination.
26
74963
4838
但是,你其实不需要 尝试所有的可能组合。
01:19
Remember – there are four good batteries in total,
27
79801
3519
记得——总共有 四个好的电池。
01:23
meaning that any pile of six you choose
28
83320
2740
也就是说在任何六个电池的组合里,
01:26
will have at least two good batteries in it.
29
86060
2890
会有至少两个好的电池。
01:28
That doesn’t help you right away,
30
88950
1680
那没有直接帮助到你,
01:30
since testing all six batteries could still take as many as 15 tries.
31
90630
4570
因为尝试所有六粒电池 还是需要十五次的尝试。
01:35
But it does give you a clue to the solution –
32
95200
2999
但是,它给了你 解决方案的提示——
01:38
dividing the batteries into smaller subsets narrows down the possible results.
33
98199
5510
把电池分成小组缩小可能的结果。
01:43
So instead of six batteries,
34
103718
1980
所以,与其六个电池,
01:45
let’s take any three.
35
105698
1930
让我们拿任何三个。
01:47
This group has a total of three possible combinations.
36
107628
3670
这个小组有三个组合。
01:51
Since both batteries have to be working for the iron to power up,
37
111298
3470
因为要让熨斗运作需要 两个电池都正常运作,
01:54
a single failure can’t tell you whether both batteries are dead, or just one.
38
114768
4890
其中一个失败并不会告诉你是两个 电池都不能用,还是只是其中一个。
01:59
But if all three combinations fail,
39
119658
2530
但是若三个组合都失败,
02:02
then you’ll know this group has either one good battery, or none at all.
40
122188
5090
你就能够知道这个小组里是有 一个好的电池,或一个也没有。
02:07
Now you can set those three aside
41
127278
2315
现在你可以把这 三个放在一边了
02:09
and repeat the process for another three batteries.
42
129593
3170
然后重复同样的过程 在在另外三个电池。
02:12
You might get a match, but if every combination fails again,
43
132763
3780
你有可能得到对的组合, 但是若每个组合都又失败,
02:16
you’ll know this set can have no more than one good battery.
44
136543
3710
那你就知道这个组合不可能 有超过一个好的电池。
02:20
That would leave only two batteries untried.
45
140253
2900
那最后你剩下两个还未试过的电池。
02:23
Since there are four good batteries in total
46
143153
2330
因为总共有四个好的电池
02:25
and you’ve only accounted for two so far,
47
145483
2780
而你只处理了两个,
02:28
both of these remaining ones must be good.
48
148263
2840
这剩下的两个必然是好的。
02:31
Dividing the batteries into sets of 3, 3, and 2
49
151103
3590
把电池分成三、三、二,
02:34
is guaranteed to get a working result in 7 tries or less,
50
154693
4080
必然能够在七次尝试 找到可行的结果,
02:38
no matter what order you test the piles in.
51
158773
2990
无论你是用什么次序尝试。
02:41
With no time to spare, the iron comes to life,
52
161763
2930
在没有剩余时间的情况下, 熨斗开始运作了,
02:44
and you manage to get the shirt flawlessly ironed.
53
164693
3070
而你也成功地把衣服 没有瑕疵地烫好了。
02:47
The pleased elder and his family show up to the party dressed to the nines
54
167763
4337
那个欢喜的年长巨人和他的 家人衣着隆重地参加了派对
02:52
… well, almost.
55
172100
2300
……嗯,差不多如此。
关于本网站

这个网站将向你介绍对学习英语有用的YouTube视频。你将看到来自世界各地的一流教师教授的英语课程。双击每个视频页面上显示的英文字幕,即可从那里播放视频。字幕会随着视频的播放而同步滚动。如果你有任何意见或要求,请使用此联系表与我们联系。

https://forms.gle/WvT1wiN1qDtmnspy7