Can you solve the dragon jousting riddle

你能解决龙角谜语吗

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After centuries of war, the world’s kingdoms have come to an agreement. 

Every five years, teams representing the elves, goblins, and treefolk will compete in a grand tournament of dragon jousting. 

Every team will face each of the others once. 

The kingdom whose team wins the most matches will rule all of Center-Realm until the next tournament. 

To prevent any outside meddling, the games are to be conducted in absolute secret except for a group of wizards who will make sure nobody uses enchantments, hexes, or spells to cheat.

几个世纪的战争后，世界各王国达成协议。

每五年，代表精灵， 小妖精和树人的队伍将会在隆重的龙上骑枪比武中竞赛。

每支队伍都会互相竞赛一次。

赢得最多场比赛的队伍的王国 将能统治所有中心区域直到下次比武。

为了预防外部干涉，比赛会在绝对机密的情况下进行除了巫师队伍要确保没人使用魔法，妖术， 或咒语来作弊。

You’ve been given the extremely important job of recording the scores for the first inaugural tournament. 

But the opening celebrations get a bit out of control, and when you wake up, you realize the games are already underway.

Fortunately, no one has noticed your absence so far. 

However, you need to get up to speed quickly; if your boss, the head tournament official, finds out you’ve been sleeping on the job, you’ll lose your head. 

After weighing your options, you decide to offer your life’s savings to one of the regulation wizards in return for the information, giving him your blank scorecard to fill out.

在首届比武中，你被给予了记录比分 这项非常重要的工作。

但是开幕庆典变得有些失控，当你醒来时，意识到比赛已经开始了。

幸运的是， 目前还没人发现你的缺席。

但是，你需要快速起床；如果你的上司， 比武的首席官员，发现你在工作期间睡觉， 你就会小命不保。

权衡选择后，你决定将自己一生的积蓄 交给一个管理巫师作为消息的回报，你让他将空白的记分卡填满。

But before he can finish, your boss walks into the tent.

You barely manage to hide the scorecard in time, and the wizard excuses himself. 

Your boss chuckles. 

“Hope you didn’t believe anything Gorbak’s been saying— he’s been cursed to tell only lies, even in writing. 

Anyway, can you believe how low-scoring the tournament’s been? 

Every team has played at least once, yet not a single match with a combined score of more than five hits! 

Anyhow, I’ll be back in a minute to review your scorecard.” 

You laugh along, and when he leaves you look at the partially completed card, now knowing every single number on it is wrong. 

You’ve only got one chance to save yourself, so what’s the real score of each match? 

Pause now to figure it out for yourself.

但在他完成之前， 你的上司走进了帐篷。

你差点没能及时把记分卡藏起来，巫师为自己辩解。

你的上司笑了笑。

“希望你没有相信 Gorbak说的任何话——他被诅咒只能说谎， 即使书写也一样。

无论如何， 你能相信比武的比分有多低吗？

每支队伍至少要比一次赛，但是没有一场比赛 得分加起来超过5分的！

总之， 我很快会回来复查你的记分卡。”

你也跟着笑了起来，当他离开的时候 你看了看部分填完的卡片，明白了卡片上的每个数字都是错的。

你只有一个机会能拯救自己，那么每场比赛的真实比分是多少？

现在暂停自己来解决这个问题。

The incredible thing about this riddle is that you can reach the solution despite an almost complete lack of correct information.

And that’s possible because knowing that something is false is meaningful information in its own right. 

The first key is to realize that no team will play more than two matches, since there are only two other teams. 

So if the elves didn’t actually play one match, and the goblins didn’t actually play two, the truth must be that elves played two and goblins played one. 

For the elves to have played two matches, they must’ve faced each of the other teams once. 

And since goblins have only played one match so far— against the elves— that means the match between goblins and treefolk has not occurred yet.

We know it’s false that the treefolk tied zero matches, which means their bout against the elves must’ve tied.

We also know that the elves won at least one match, and since they tied against the treefolk, they must have beaten the goblins.

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。

并且这是可能的， 因为知道某些东西是假的本身就是有意义的信息。

首个关键是了解 每支队伍最多进行两场比赛，因为只有两支其他队伍。

所以如果精灵队一场比赛都没参加，且小妖精队没有参加两场比赛，真实情况就必然是精灵队比赛两场 而小妖精队比赛一场。

如果精灵队比赛两场，他们必然分别遇见过其他队伍一次。

因为小妖精队目前只参加过一场比赛 对战的是精灵队这就意味着 小妖精队和树人队间的比赛还没开始。

我们知道树人队0场平局是假的，意味着他们和精灵队的比赛 一定是平局。

我们还知道 精灵队至少赢了一场比赛，因为他们和树人队是平局， 那么他们一定击败了小妖精队。

But can we figure out the actual scores?

Let’s start with the elf-treefolk tie.

Because no more than five total hits were scored, the final tally must’ve been 0-0, 1-1, or 2-2. 

But the treefolk must’ve scored some hits, and it’s false that they only had one hit scored against them. 

The only option that leaves is 2-2. 

In the match between elves and goblins, the goblins must’ve scored at least one hit. 

And the elf score must be 2 or more for them to have won the match. 

This leaves only a few possibilities that add up to 5 or less. 

The elves couldn’t have scored three, so that eliminates these two.

And their total hits scored across both matches can’t add up to six, so this one’s out too. 

So the score must’ve been 2-1. 

With one match remaining, you’ve managed to save your job— and your neck. 

Gorbak the wizard may have lied, but your deductive skills quickly evened the score.

但是我们怎么解出真实的比分呢？

让我们从精灵队和 树人队的比赛开始。

因为没有一场比赛的总比分 超过5分，最终的计分一定是 0-0,1-1，或2-2。

但树人队一定有得分，并且他们在比赛中只得了1分 这件事是假的。

那么唯一可能的比分就是2-2.

在精灵队和小妖精队的比赛中，小妖精队一定至少得了一分。

精灵队赢得了比赛 那么他们的分数必定为2分或更高。

既然得分总计为5分或更低， 那么仅剩几种可能。精灵队不可能得3分， 所以排除了这两种。

并且他们两场比赛的得分 总计达不到6分，所以这种可能也排除。

即比分一定是2-1。

只剩下一场比赛了，你成功保住了自己的工作--- 和性命。

巫师Gorbak可能说谎，但你的推演能力很快摆平了这一切。