Can you solve the buried treasure riddle? - Daniel Griller

3,245,811 views ・ 2018-03-22

TED-Ed


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譯者: YUYI TONG 審譯者: Helen Chang
00:06
After a massive storm tears through the Hex Archipelago,
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一次巨大的暴風雨襲擊了 Hex 群島
00:10
you find five grizzled survivors in the water.
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之後你在水中發現了 五名頭髮花白的倖存者
00:14
Shivering their timbers,
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顫抖地抱著浮木
00:16
they explain that they’re the former crew of the great pirate Greenbeard,
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他們說自己以前是 偉大的海盜「綠鬍子」的船員
00:20
who marooned them after they tried to mutiny.
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不過他們在試圖叛亂以後 就被丟下了
00:24
Each was bound up in a different spot on a small island,
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每個人都被綁在 一個小島上的不同地方
00:27
until the storm washed them out to sea.
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直到風暴把他們沖到海裡
00:30
In gratitude for saving them, they reveal a secret:
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作為救命之恩的回報 他們向你揭露了一個秘密:
00:33
the island they were on is also where Greenbeard has buried his treasure hoard.
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他們所在的島嶼是綠鬍子藏寶的地方
00:39
But when the sailors try to describe the island, something seems off.
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但當這些水手試著描述那個島的時候 當中好像缺少了什麼東西
00:44
All agree it was flat and barren with no prominent features except for some trees.
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所有人都認為這個島是平坦且貧瘠 除了一些樹木沒有其他突出的特徵
00:51
Yet each pirate claims they saw a different number of trees,
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然而每個海盜聲稱 看到的樹木數量都不同
00:55
ranging from two to six.
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從兩棵到六棵都有
00:57
The pirate who saw two trees says the treasure was buried right at his feet.
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看到兩棵樹的海盜說 寶藏就埋在他腳的右邊
01:02
When you fly your hot air balloon over the area to investigate,
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當你乘坐熱氣球飛到那個區域調查時
01:05
you see hundreds of small islands, each with exactly six trees.
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你看到數以百計的小島 每個島上都有剛好六棵樹
01:11
The next storm will be here soon,
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下一個風暴即將來襲
01:13
so you’ll have to hurry and narrow your search.
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你需要趕快縮小調查範圍
01:16
What does the island with Greenbeard’s treasure look like from the sky?
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綠鬍子藏寶的島嶼 從上空俯瞰會是什麼樣子的呢?
01:19
And where will the treasure be on that island?
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寶藏又在島上的何處呢?
01:27
Pause here if you want to figure it out for yourself!
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如果你想自己找出答案的話 就先在這裡暫停一下
01:31
Answer in 3
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答案倒數:3
01:33
Answer in 2
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2
01:34
Answer in 1
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1
01:35
It might seem like the pirates are delirious from dehydration.
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可能看起來這些海盜 像是因為脫水而神志不清
01:39
But that’s not what’s going on.
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但這不是原因
01:41
Remember, each was confined to a separate point on the island,
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記住,他們每個人 都被困在島上不同的點
01:45
and no two of them could see the same number of trees.
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而且每個人都看到不同數量的樹
01:49
That means that for all but one pirate, something was blocking their view.
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這就代表除了其中一個海盜 其他的人的視線都被阻擋了
01:53
And since there are no other features on the island,
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同時又因為島上沒有其他突出的特徵
01:56
that something could only have been other trees.
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所以阻擋視線的就只有其他的樹了
02:01
A pirate would see fewer trees when two or more
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海盜能看到的樹木變少的原因
02:04
fell along a straight line from their vantage point.
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是由於從他們所處的角度看出去 有兩棵或以上的樹排成了一直線
02:08
So we need to find the island
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所以我們需要找到島上
02:09
where five different pirates standing in different spots
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五個海盜所在的位置不同
02:12
would each see a different number of trees.
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並且在該位置上 能看到的樹木數量不同
02:16
Virtually every island has a position from which you can see six trees.
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幾乎每個島嶼都有一個 可以看到六棵樹的位置
02:21
And on most islands there’s a position where 5 trees can be seen
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在大部分的島上都有 能看到五棵樹的位置
02:25
by standing in line with two of them.
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只要和其中兩棵樹站在一直線
02:28
It turns out that the hardest locations to find are those with fewer visible trees
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所以最難找的位置是 那些能看到較少樹的地方
02:33
precisely because they require more trees to line up with the viewer’s position.
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就是因為這些位置需要更多的樹 和觀察者處在一直線上
02:39
So how can we see just two trees?
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我們要如何才能只看到兩棵樹呢
02:42
One way would be if all the trees were lined up in single file,
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其中一個方法是所有樹都一字排開
02:45
such as on this island.
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就像這個島一樣
02:47
Then, you could stand at the end of the line and see one,
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然後站在這排樹的最後 就能只看到一棵樹了
02:50
stand in the middle and see two,
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站在中間的話就會看到兩棵
02:52
or stand anywhere else and see all six.
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站在其他任何位置 就會看到全部六棵樹
02:56
But there’s no place from which you can see only three,
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但沒有任何位置能只看到三棵樹
02:59
four,
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02:59
or five,
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或者四棵
又或者五棵
03:00
so one straight line of trees is out.
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所以排成一直線這種方法行不通
03:04
So what about two lines of trees?
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那如果排成兩排呢
03:06
So long as the lines aren’t parallel and they intersect over land,
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只要這兩排樹不平行 並且最終在陸地上相交
03:10
there’ll always be a position where the two lines converge
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就一定會有兩排樹交匯的位置
03:14
from which you could see exactly two trees.
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在那裡你就能只看到兩棵樹了
03:17
And if they’re grouped two and four,
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如果它們以兩棵和四棵為分組
03:19
or three and three,
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又或者三棵為一組
03:21
there are many arrangements in which you could also see three,
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這就有很多方式能讓你也能看到三棵
03:24
four,
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四棵
03:25
five,
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五棵
03:27
and six trees.
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和六棵樹了
03:29
Fortunately for us, there’s only one island in the archipelago
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幸運的是,群島上只有一個島
03:33
with two non-parallel lines of trees,
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有兩排不平行的樹
03:36
and it’ll be buried at the intersection of the two lines.
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寶藏就埋在兩排樹相交的位置
03:41
You land on this island and dig up a chest containing a massive pile of tree seeds,
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你在這個島上降落 挖到了一個內有大量樹種的箱子
03:47
ready for planting.
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是可以種植的
03:49
Was this treasure really worth all that trouble?
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這個寶藏值得花時間 去解決那些難題嗎
03:51
That’s a matter of perspective.
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這就是觀點的問題了
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