Can you solve the dragon jousting riddle? - Alex Gendler

2,706,201 views ・ 2020-01-09

TED-Ed


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翻译人员: Rich Lee 校对人员: Jingyu Jin
00:06
After centuries of war,
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几个世纪的战争后,
00:08
the world’s kingdoms have come to an agreement.
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世界各王国达成协议。
00:11
Every five years, teams representing the elves, goblins, and treefolk
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每五年,代表精灵, 小妖精和树人的队伍
00:17
will compete in a grand tournament of dragon jousting.
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将会在隆重的龙上骑枪比武中竞赛。
00:21
Every team will face each of the others once.
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每支队伍都会互相竞赛一次。
00:25
The kingdom whose team wins the most matches will rule all of Center-Realm
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赢得最多场比赛的队伍的王国 将能统治所有中心区域
00:30
until the next tournament.
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直到下次比武。
00:31
To prevent any outside meddling,
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为了预防外部干涉,
00:34
the games are to be conducted in absolute secret
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比赛会在绝对机密的情况下进行
00:37
except for a group of wizards who will make sure
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除了巫师队伍要确保
00:40
nobody uses enchantments, hexes, or spells to cheat.
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没人使用魔法,妖术, 或咒语来作弊。
00:45
You’ve been given the extremely important job of recording the scores
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在首届比武中,
00:49
for the first inaugural tournament.
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你被给予了记录比分 这项非常重要的工作。
00:51
But the opening celebrations get a bit out of control,
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但是开幕庆典变得有些失控,
00:55
and when you wake up,
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当你醒来时,
00:56
you realize the games are already underway.
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意识到比赛已经开始了。
00:59
Fortunately, no one has noticed your absence so far.
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幸运的是, 目前还没人发现你的缺席。
01:03
However, you need to get up to speed quickly;
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但是,你需要快速起床;
01:06
if your boss, the head tournament official,
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如果你的上司, 比武的首席官员,
01:09
finds out you’ve been sleeping on the job, you’ll lose your head.
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发现你在工作期间睡觉, 你就会小命不保。
01:13
After weighing your options,
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权衡选择后,
01:15
you decide to offer your life’s savings to one of the regulation wizards
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你决定将自己一生的积蓄 交给一个管理巫师
01:19
in return for the information,
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作为消息的回报,
01:21
giving him your blank scorecard to fill out.
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你让他将空白的记分卡填满。
01:24
But before he can finish, your boss walks into the tent.
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但在他完成之前, 你的上司走进了帐篷。
01:28
You barely manage to hide the scorecard in time,
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你差点没能及时把记分卡藏起来,
01:31
and the wizard excuses himself.
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巫师为自己辩解。
01:33
Your boss chuckles.
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你的上司笑了笑。
01:35
“Hope you didn’t believe anything Gorbak’s been saying—
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“希望你没有相信 Gorbak说的任何话——
01:37
he’s been cursed to tell only lies, even in writing.
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他被诅咒只能说谎, 即使书写也一样。
01:41
Anyway, can you believe how low-scoring the tournament’s been?
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无论如何, 你能相信比武的比分有多低吗?
01:45
Every team has played at least once,
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每支队伍至少要比一次赛,
01:47
yet not a single match with a combined score of more than five hits!
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但是没有一场比赛 得分加起来超过5分的!
01:51
Anyhow, I’ll be back in a minute to review your scorecard.”
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总之, 我很快会回来复查你的记分卡。”
01:55
You laugh along,
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你也跟着笑了起来,
01:56
and when he leaves you look at the partially completed card,
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当他离开的时候 你看了看部分填完的卡片,
01:59
now knowing every single number on it is wrong.
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明白了卡片上的每个数字都是错的。
02:03
You’ve only got one chance to save yourself,
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你只有一个机会能拯救自己,
02:06
so what’s the real score of each match?
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那么每场比赛的真实比分是多少?
02:09
Pause now to figure it out for yourself.
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现在暂停自己来解决这个问题。
02:17
The incredible thing about this riddle is that you can reach the solution
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这个谜题的惊人之处在于
尽管几乎完全缺乏正确信息 你仍能找到解决方案。
02:20
despite an almost complete lack of correct information.
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02:24
And that’s possible because knowing that something is false
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并且这是可能的, 因为知道某些东西是假的
02:28
is meaningful information in its own right.
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本身就是有意义的信息。
02:31
The first key is to realize that no team will play more than two matches,
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首个关键是了解 每支队伍最多进行两场比赛,
02:36
since there are only two other teams.
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因为只有两支其他队伍。
02:39
So if the elves didn’t actually play one match,
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所以如果精灵队一场比赛都没参加,
02:42
and the goblins didn’t actually play two,
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且小妖精队没有参加两场比赛,
02:44
the truth must be that elves played two and goblins played one.
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真实情况就必然是精灵队比赛两场 而小妖精队比赛一场。
02:49
For the elves to have played two matches,
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如果精灵队比赛两场,
02:51
they must’ve faced each of the other teams once.
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他们必然分别遇见过其他队伍一次。
02:55
And since goblins have only played one match so far— against the elves—
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因为小妖精队目前只参加过一场比赛 对战的是精灵队
02:59
that means the match between goblins and treefolk has not occurred yet.
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这就意味着 小妖精队和树人队间的比赛还没开始。
03:04
We know it’s false that the treefolk tied zero matches,
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我们知道树人队0场平局是假的,
03:08
which means their bout against the elves must’ve tied.
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意味着他们和精灵队的比赛 一定是平局。
03:11
We also know that the elves won at least one match,
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我们还知道 精灵队至少赢了一场比赛,
03:14
and since they tied against the treefolk, they must have beaten the goblins.
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因为他们和树人队是平局, 那么他们一定击败了小妖精队。
03:19
But can we figure out the actual scores?
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但是我们怎么解出真实的比分呢?
03:22
Let’s start with the elf-treefolk tie.
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让我们从精灵队和 树人队的比赛开始。
03:25
Because no more than five total hits were scored,
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因为没有一场比赛的总比分 超过5分,
03:28
the final tally must’ve been 0-0, 1-1, or 2-2.
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最终的计分一定是 0-0,1-1,或2-2。
03:33
But the treefolk must’ve scored some hits,
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但树人队一定有得分,
03:36
and it’s false that they only had one hit scored against them.
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并且他们在比赛中只得了1分 这件事是假的。
03:39
The only option that leaves is 2-2.
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那么唯一可能的比分就是2-2.
03:43
In the match between elves and goblins,
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在精灵队和小妖精队的比赛中,
03:45
the goblins must’ve scored at least one hit.
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小妖精队一定至少得了一分。
03:48
And the elf score must be 2 or more for them to have won the match.
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精灵队赢得了比赛 那么他们的分数必定为2分或更高。
03:53
This leaves only a few possibilities that add up to 5 or less.
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既然得分总计为5分或更低, 那么仅剩几种可能。
03:57
The elves couldn’t have scored three, so that eliminates these two.
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精灵队不可能得3分, 所以排除了这两种。
04:01
And their total hits scored across both matches can’t add up to six,
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并且他们两场比赛的得分 总计达不到6分,
04:06
so this one’s out too.
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所以这种可能也排除。
04:08
So the score must’ve been 2-1.
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即比分一定是2-1。
04:12
With one match remaining,
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只剩下一场比赛了,
04:13
you’ve managed to save your job— and your neck.
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你成功保住了自己的工作--- 和性命。
04:16
Gorbak the wizard may have lied,
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巫师Gorbak可能说谎,
04:18
but your deductive skills quickly evened the score.
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但你的推演能力很快摆平了这一切。
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