Can you solve the dragon jousting riddle? - Alex Gendler

2,758,282 views

2020-01-09 ใƒป TED-Ed


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Can you solve the dragon jousting riddle? - Alex Gendler

2,758,282 views ใƒป 2020-01-09

TED-Ed


์•„๋ž˜ ์˜๋ฌธ์ž๋ง‰์„ ๋”๋ธ”ํด๋ฆญํ•˜์‹œ๋ฉด ์˜์ƒ์ด ์žฌ์ƒ๋ฉ๋‹ˆ๋‹ค.

๊ฒ€ํ† : Jihyeon J. Kim
00:06
After centuries of war,
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์ˆ˜ ์„ธ๊ธฐ์˜ ์ „์Ÿ ๋์—
00:08
the worldโ€™s kingdoms have come to an agreement.
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์„ธ๊ณ„์˜ ์™•๊ตญ๋“ค์ด ๋ชจ์—ฌ ํ•ฉ์˜์— ์ด๋ฅด๋ €์Šต๋‹ˆ๋‹ค.
00:11
Every five years, teams representing the elves, goblins, and treefolk
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5๋…„๋งˆ๋‹ค ์—˜ํ”„, ๊ณ ๋ธ”๋ฆฐ, ๋‚˜๋ฌด ์ธ๊ฐ„์ด ๊ฐ์ž ํŒ€์„ ๋งŒ๋“ค์–ด
00:17
will compete in a grand tournament of dragon jousting.
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์ฐฝ ์‹œํ•ฉ์„ ์—ด๊ธฐ๋กœ ํ–ˆ์ฃ .
00:21
Every team will face each of the others once.
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๊ฐ ํŒ€์ด ํ•œ ๋ฒˆ์”ฉ ์ƒ๋Œ€์™€ ๊ฒจ๋ฃจ์–ด
00:25
The kingdom whose team wins the most matches will rule all of Center-Realm
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๊ฐ€์žฅ ๋งŽ์ด ์Šน๋ฆฌํ•œ ํŒ€์ด
๋‹ค์Œ ์‹œํ•ฉ๊นŒ์ง€ ์ค‘์•™ ์˜์—ญ ์ „์ฒด๋ฅผ ๋‹ค์Šค๋ฆฌ๊ธฐ๋กœ ํ–ˆ์Šต๋‹ˆ๋‹ค.
00:30
until the next tournament.
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00:31
To prevent any outside meddling,
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์™ธ๋ถ€์˜ ๊ฐ„์„ญ์„ ๋ง‰๊ธฐ ์œ„ํ•ด
00:34
the games are to be conducted in absolute secret
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๊ฒฝ๊ธฐ๋Š” ์—„๊ฒฉํžˆ ๋น„๋ฐ€๋ฆฌ์— ์น˜๋Ÿฌ์ง€๋ฉฐ
00:37
except for a group of wizards who will make sure
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๋งˆ๋ฒ•์‚ฌ ํŒ์ •๋‹จ์˜ ์ฐธ๊ด€์€ ์˜ˆ์™ธ๋กœ ํ•˜์—ฌ
00:40
nobody uses enchantments, hexes, or spells to cheat.
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๋งˆ๋ฒ•์ด๋‚˜ ๊ณ„๋žต, ์ฃผ๋ฌธ์„ ์‚ฌ์šฉํ•œ ๋ถ€์ •ํ–‰์œ„๋ฅผ ๋ง‰๊ณ ์ž ํ–ˆ์ฃ .
00:45
Youโ€™ve been given the extremely important job of recording the scores
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๋‹น์‹ ์€ ์ฒซ ๋Œ€ํšŒ์—์„œ ๊ฐ ํŒ€์˜ ์ ์ˆ˜๋ฅผ ๊ธฐ๋กํ•˜๋Š”
00:49
for the first inaugural tournament.
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๋ง‰์ค‘ํ•œ ์ž„๋ฌด๋ฅผ ๋งก์•˜์Šต๋‹ˆ๋‹ค.
00:51
But the opening celebrations get a bit out of control,
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๊ทธ๋Ÿฌ๋‚˜ ๊ฐœ๋ง‰์‹ ํ–‰์‚ฌ๊ฐ€ ํ†ต์ œ๋ถˆ๋Šฅ์ด ๋˜์–ด์„œ
00:55
and when you wake up,
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๊นจ์–ด๋‚ฌ์„ ๋•Œ๋Š”
00:56
you realize the games are already underway.
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๊ฒฝ๊ธฐ๊ฐ€ ์ด๋ฏธ ์‹œ์ž‘๋œ ํ›„์˜€์Šต๋‹ˆ๋‹ค.
00:59
Fortunately, no one has noticed your absence so far.
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๋‹คํ–‰ํžˆ ์•„์ง์€ ์•„๋ฌด๋„ ๋‹น์‹ ์˜ ๋ถ€์žฌ๋ฅผ ๋ˆˆ์น˜์ฑ„์ง€ ๋ชปํ–ˆ์–ด์š”.
01:03
However, you need to get up to speed quickly;
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ํ•˜์ง€๋งŒ ๋นจ๋ฆฌ ์ƒํ™ฉ์„ ์ˆ˜์Šตํ•˜์ง€ ์•Š์œผ๋ฉด
01:06
if your boss, the head tournament official,
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๋Œ€ํšŒ ์ง„ํ–‰ ๋‹ด๋‹น์ž์ธ ๋‹น์‹ ์˜ ์ƒ์‚ฌ๊ฐ€
01:09
finds out youโ€™ve been sleeping on the job, youโ€™ll lose your head.
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๊ทผ๋ฌด ์ค‘ ์ž ์ด ๋“  ๊ฒƒ์„ ์•Œ์•„์ฐจ๋ฆฌ๊ณ  ๋‹น์‹ ์€ ๋ชฉ์ด ๋‚ ์•„๊ฐ€๊ฒŒ ๋  ๊ฒ๋‹ˆ๋‹ค.
01:13
After weighing your options,
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ํ•ด๊ฒฐ์ฑ…์„ ๋ชจ์ƒ‰ํ•˜๋‹ค
01:15
you decide to offer your lifeโ€™s savings to one of the regulation wizards
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๋‹น์‹ ์€ ์‹ฌํŒ ์ค‘ ํ•œ ๋ช…์—๊ฒŒ ์ •๋ณด๋ฅผ ๋ฐ›๋Š” ๋Œ€๊ฐ€๋กœ
01:19
in return for the information,
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์ „ ์žฌ์‚ฐ์„ ์ฃผ๊ธฐ๋กœ ํ•˜์˜€์Šต๋‹ˆ๋‹ค.
01:21
giving him your blank scorecard to fill out.
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์ ์ˆ˜ํ‘œ๋ฅผ ๋งˆ๋ฒ•์‚ฌ์—๊ฒŒ ์ฃผ๊ณ  ์ฑ„์šฐ๊ฒŒ ํ–ˆ๋Š”๋ฐ
01:24
But before he can finish, your boss walks into the tent.
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๋งˆ๋ฒ•์‚ฌ๊ฐ€ ์ฑ„ ์™„์„ฑํ•˜๊ธฐ๋„ ์ „์— ์ƒ์‚ฌ๊ฐ€ ๋‚˜ํƒ€๋‚˜๊ณ  ๋ง์•˜์–ด์š”.
01:28
You barely manage to hide the scorecard in time,
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๊ฒจ์šฐ ์ ์ˆ˜ํ‘œ๋ฅผ ์ˆจ๊ธฐ๋Š” ์ƒˆ
01:31
and the wizard excuses himself.
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๋งˆ๋ฒ•์‚ฌ๋Š” ์ž๋ฆฌ๋ฅผ ๋–ด์Šต๋‹ˆ๋‹ค.
01:33
Your boss chuckles.
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์ƒ์‚ฌ๋Š” ๊ป„๊ป„๋Œ€๋ฉฐ ๋งํ–ˆ์Šต๋‹ˆ๋‹ค.
01:35
โ€œHope you didnโ€™t believe anything Gorbakโ€™s been sayingโ€”
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โ€œโ€™์„ค๋งˆ ๊ณ ๋ฅด๋ฐ•์ด ํ•œ ์–˜๊ธฐ๋ฅผ ๋ฏฟ๋Š” ๊ฑด ์•„๋‹ˆ๊ฒ ์ง€?
01:37
heโ€™s been cursed to tell only lies, even in writing.
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๊ฑฐ์ง“๋ง๋งŒ ํ•˜๋Š” ์ €์ฃผ์— ๊ฑธ๋ฆฐ ๋†ˆ์ธ๋ฐ ๊ธ€์“ฐ๋Š” ๊ฒƒ๋งˆ์ €๋„ ๋ง์ด์ง€.
01:41
Anyway, can you believe how low-scoring the tournamentโ€™s been?
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์•„๋ฌดํŠผ ์ด๋ฒˆ ์‹œํ•ฉ ์ ์ˆ˜๊ฐ€ ์–ผ๋งˆ๋‚˜ ๋‚ฎ์€์ง€ ์•Œ์•„?
01:45
Every team has played at least once,
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๋ชจ๋“  ํŒ€์ด ์ตœ์†Œ ํ•œ ๋ฒˆ์€ ๊ฒฝ๊ธฐ๋ฅผ ์น˜๋ €๋Š”๋ฐ
01:47
yet not a single match with a combined score of more than five hits!
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์ ์ˆ˜ ํ•ฉ๊ณ„๊ฐ€ 5์ ์„ ๋„˜๋Š” ๊ฒฝ๊ธฐ๊ฐ€ ๋‹จ ํ•˜๋‚˜๋„ ์—†์–ด.
01:51
Anyhow, Iโ€™ll be back in a minute to review your scorecard.โ€
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์–ด์จŒ๋“  ๊ณง ๋‹ค์‹œ ์™€์„œ ์ ์ˆ˜ํ‘œ๋ฅผ ํ™•์ธํ•˜๊ฒ ์–ด.โ€
01:55
You laugh along,
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๋‹น์‹ ๋„ ์–ด์ฉ” ์ˆ˜ ์—†์ด ๋”ฐ๋ผ ์›ƒ๋‹ค๊ฐ€
01:56
and when he leaves you look at the partially completed card,
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๊ทธ๊ฐ€ ๋– ๋‚˜์ž ๋ฏธ์™„์„ฑ์˜ ์ ์ˆ˜ํ‘œ๋ฅผ ์‚ดํŽด๋ณด์•˜์Šต๋‹ˆ๋‹ค.
01:59
now knowing every single number on it is wrong.
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์ด ๋ชจ๋“  ์ˆซ์ž๊ฐ€ ๊ฑฐ์ง“์ž„์„ ์•Œ๊ฒŒ ๋˜์—ˆ๊ณ 
02:03
Youโ€™ve only got one chance to save yourself,
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์ด ์œ„๊ธฐ๋ฅผ ๋ชจ๋ฉดํ•  ๊ธฐํšŒ๋Š” ๋”ฑ ํ•œ ๋ฒˆ๋ฟ์ž…๋‹ˆ๋‹ค.
02:06
so whatโ€™s the real score of each match?
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๊ฐ ๊ฒฝ๊ธฐ์˜ ์‹ค์ œ ์ ์ˆ˜๋Š” ๊ณผ์—ฐ ๋ฌด์—‡์ผ๊นŒ์š”?
02:09
Pause now to figure it out for yourself.
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์ž ๊น ๋ฉˆ์ถ”๊ณ  ์ง์ ‘ ํ’€์–ด๋ณด์„ธ์š”.
์ด ์ˆ˜์ˆ˜๊ป˜๋ผ์˜ ๋ฌ˜๋ฏธ๋Š” ์ •ํ™•ํ•œ ์ •๋ณด๊ฐ€ ๊ฑฐ์˜ ์—†์Œ์—๋„
02:17
The incredible thing about this riddle is that you can reach the solution
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02:20
despite an almost complete lack of correct information.
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๋ฌธ์ œ๋ฅผ ํ•ด๊ฒฐํ•  ์ˆ˜ ์žˆ๋‹ค๋Š” ๊ฒƒ์ž…๋‹ˆ๋‹ค.
02:24
And thatโ€™s possible because knowing that something is false
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์ฃผ์–ด์ง„ ์ •๋ณด๊ฐ€ ๊ฑฐ์ง“์ž„์„ ์•ˆ๋‹ค๋Š” ๊ฒƒ๋งŒ์œผ๋กœ๋„
02:28
is meaningful information in its own right.
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๊ทธ ์ž์ฒด๊ฐ€ ์˜๋ฏธ ์žˆ๊ธฐ ๋•Œ๋ฌธ์— ๊ฐ€๋Šฅํ•œ ์ผ์ด์ฃ .
02:31
The first key is to realize that no team will play more than two matches,
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์ฒซ ๋ฒˆ์งธ ์—ด์‡ ๋Š” ๊ฐ ํŒ€์ด ๊ฒจ๋ฃฐ ์ƒ๋Œ€๋Š” ๋‘˜๋ฟ์ด๋‹ˆ
02:36
since there are only two other teams.
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์ตœ๋Œ€ ๋‘ ๋ฒˆ์˜ ๊ฒฝ๊ธฐ๋ฅผ ํ•  ์ˆ˜ ์žˆ๋‹ค๋Š” ๊ฒƒ์ž…๋‹ˆ๋‹ค.
๋งŒ์•ฝ ์—˜ํ”„ ํŒ€์ด 1ํšŒ ๊ฒฝ๊ธฐ๋ฅผ ์น˜๋ฅธ ๊ฒƒ์ด ์•„๋‹ˆ๊ณ 
02:39
So if the elves didnโ€™t actually play one match,
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02:42
and the goblins didnโ€™t actually play two,
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๊ณ ๋ธ”๋ฆฐ ํŒ€์ด 2ํšŒ๋ฅผ ์น˜๋ฅธ ๊ฒƒ์ด ์•„๋‹ˆ๋ผ๋ฉด
02:44
the truth must be that elves played two and goblins played one.
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์—˜ํ”„ ํŒ€์ด 2ํšŒ, ๊ณ ๋ธ”๋ฆฐ ํŒ€์ด 1ํšŒ ๊ฒฝ๊ธฐ๋ฅผ ์น˜๋ €๋‹ค๋Š” ๋œป์ด๊ฒ ์ฃ .
02:49
For the elves to have played two matches,
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์—˜ํ”„ ํŒ€์ด 2ํšŒ ๊ฒฝ๊ธฐ๋ฅผ ํ–ˆ๋‹ค๋ฉด
02:51
they mustโ€™ve faced each of the other teams once.
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๊ณ ๋ธ”๋ฆฐ ํŒ€, ๋‚˜๋ฌด ์ธ๊ฐ„ ํŒ€๊ณผ ํ•œ ๋ฒˆ์”ฉ ๊ฒจ๋ค˜๋‹ค๋Š” ๋œป์ด๊ณ 
02:55
And since goblins have only played one match so farโ€” against the elvesโ€”
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๊ณ ๋ธ”๋ฆฐ ํŒ€์€ 1ํšŒ๋งŒ ๊ฒฝ๊ธฐ๋ฅผ ํ–ˆ์œผ๋ฏ€๋กœ ์ƒ๋Œ€๋Š” ์—˜ํ”„ ํŒ€์ด์—ˆ์„ ๊ฒƒ์ด๋ฉฐ
02:59
that means the match between goblins and treefolk has not occurred yet.
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์ด๋Š” ๊ณ ๋ธ”๋ฆฐ ํŒ€๊ณผ ๋‚˜๋ฌด ์ธ๊ฐ„ ํŒ€ ๊ฒฝ๊ธฐ๋Š” ์•„์ง ์—ด๋ฆฌ์ง€ ์•Š์•˜๋‹จ ๋œป์ž…๋‹ˆ๋‹ค.
03:04
We know itโ€™s false that the treefolk tied zero matches,
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๋‚˜๋ฌด ์ธ๊ฐ„ ํŒ€์˜ ๋ฌด์Šน๋ถ€ 0ํšŒ๊ฐ€ ๊ฑฐ์ง“์ด๋ฏ€๋กœ
03:08
which means their bout against the elves mustโ€™ve tied.
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์—˜ํ”„ ํŒ€๊ณผ์˜ ๊ฒฝ๊ธฐ ๊ฒฐ๊ณผ๋Š” ๋ฌด์Šน๋ถ€๊ฐ€ ๋ฉ๋‹ˆ๋‹ค.
03:11
We also know that the elves won at least one match,
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์—˜ํ”„ ํŒ€์ด ์ตœ์†Œ 1ํšŒ ์Šน๋ฆฌํ–ˆ๋‹ค๋Š” ์‚ฌ์‹ค ๋˜ํ•œ ์•Œ๊ฒŒ ๋์œผ๋‹ˆ
03:14
and since they tied against the treefolk, they must have beaten the goblins.
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๋‚˜๋ฌด ์ธ๊ฐ„ ํŒ€๊ณผ๋Š” ๋ฌด์Šน๋ถ€, ๊ณ ๋ธ”๋ฆฐ ํŒ€๊ณผ๋Š” ์Šน๋ฆฌ๊ฐ€ ๋˜๊ณ ์š”.
03:19
But can we figure out the actual scores?
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๊ทธ๋ ‡๋‹ค๋ฉด ์‹ค์ œ ์ ์ˆ˜๋„ ์•Œ ์ˆ˜ ์žˆ์„๊นŒ์š”?
03:22
Letโ€™s start with the elf-treefolk tie.
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์—˜ํ”„ ํŒ€๊ณผ ๋‚˜๋ฌด ์ธ๊ฐ„ ํŒ€์˜ ๋ฌด์Šน๋ถ€ ๊ฒฝ๊ธฐ๋ฅผ ์‚ดํŽด๋ณด๋ฉด
03:25
Because no more than five total hits were scored,
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๊ทธ ์–ด๋Š ๊ฒฝ๊ธฐ๋„ ํ•ฉ๊ณ„ ๋“์ ์ด 5์ ์„ ๋„˜์ง€ ๋ชปํ–ˆ์œผ๋ฏ€๋กœ
03:28
the final tally mustโ€™ve been 0-0, 1-1, or 2-2.
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๋ฌด์Šน๋ถ€ ์ ์ˆ˜๋Š” 0-0, 1-1, 2-2 ์ค‘ ํ•˜๋‚˜๊ฐ€ ๋ฉ๋‹ˆ๋‹ค.
03:33
But the treefolk mustโ€™ve scored some hits,
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ํ•˜์ง€๋งŒ ๋‚˜๋ฌด ์ธ๊ฐ„ ํŒ€์ด ๋ถ„๋ช… ๋“์ ํ–ˆ๊ณ 
03:36
and itโ€™s false that they only had one hit scored against them.
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์ƒ๋Œ€์˜ ๋“์  1์ ์ด ๊ฑฐ์ง“์ด๋ฏ€๋กœ
03:39
The only option that leaves is 2-2.
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๋ฌด์Šน๋ถ€ ๊ฒฝ๊ธฐ์˜ ์ ์ˆ˜๋Š” 2-2๊ฐ€ ๋ฉ๋‹ˆ๋‹ค.
03:43
In the match between elves and goblins,
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์—˜ํ”„ ํŒ€๊ณผ ๊ณ ๋ธ”๋ฆฐ ํŒ€์˜ ๊ฒฝ๊ธฐ์—์„œ๋Š”
03:45
the goblins mustโ€™ve scored at least one hit.
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๊ณ ๋ธ”๋ฆฐ ํŒ€์ด ์ตœ์†Œ 1์ ์„ ๋“์ ํ–ˆ๊ณ 
03:48
And the elf score must be 2 or more for them to have won the match.
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์—˜ํ”„ ํŒ€์ด ์Šน๋ฆฌํ–ˆ๋‹ค๋ฉด ์ตœ์†Œ 2์ ์„ ํš๋“ํ–ˆ๋‹ค๋Š” ๋œป์ž…๋‹ˆ๋‹ค.
03:53
This leaves only a few possibilities that add up to 5 or less.
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๊ทธ๋Ÿผ ์ด์ œ ์ด ๋“์  5์  ์ดํ•˜์ผ ๋ช‡ ์•ˆ ๋˜๋Š” ๊ฒฝ์šฐ๋งŒ ์‚ดํŽด๋ณด๋ฉด ๋˜์ฃ .
03:57
The elves couldnโ€™t have scored three, so that eliminates these two.
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์—˜ํ”„ ํŒ€์˜ 3์  ๋“์ ๋„ ๊ฑฐ์ง“์ด๋‹ˆ ์ด ๋‘ ๊ฐ€์ง€ ๊ฒฝ์šฐ๋Š” ์ œ์™ธํ•ฉ๋‹ˆ๋‹ค.
04:01
And their total hits scored across both matches canโ€™t add up to six,
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๋˜ํ•œ ๋‘ ๊ฒฝ๊ธฐ์—์„œ์˜ ์ด ๋“์ ์ด 6์ ์ด ์•„๋‹ˆ๋‹ˆ
04:06
so this oneโ€™s out too.
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์ด๊ฒƒ๋„ ์ œ์™ธํ•˜๊ณ ์š”.
04:08
So the score mustโ€™ve been 2-1.
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๊ทธ๋Ÿฌ๋ฏ€๋กœ ์ ์ˆ˜๋Š” 2-1์ด ๋ฉ๋‹ˆ๋‹ค.
04:12
With one match remaining,
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๋‹จ ํ•œ ๊ฒฝ๊ธฐ๋ฅผ ๋‚จ๊ฒจ๋‘๊ณ 
04:13
youโ€™ve managed to save your jobโ€” and your neck.
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์ด์ œ ๋‹น์‹ ์€ ์ผ์ž๋ฆฌ๋„ ์ง€ํ‚ค๊ณ  ๋ชฉ์ˆจ๋„ ์ง€ํ‚ฌ ์ˆ˜ ์žˆ๊ฒŒ ๋์–ด์š”.
04:16
Gorbak the wizard may have lied,
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๋งˆ๋ฒ•์‚ฌ ๊ณ ๋ฅด๋ฐ•์˜ ๊ฑฐ์ง“๋ง์—๋„ ๋ถˆ๊ตฌํ•˜๊ณ 
04:18
but your deductive skills quickly evened the score.
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์ถ”๋ก ์œผ๋กœ ์œ„๊ธฐ๋ฅผ ๊ทน๋ณตํ•  ์ˆ˜ ์žˆ์—ˆ๋˜ ๊ฒ๋‹ˆ๋‹ค.
์ด ์›น์‚ฌ์ดํŠธ ์ •๋ณด

์ด ์‚ฌ์ดํŠธ๋Š” ์˜์–ด ํ•™์Šต์— ์œ ์šฉํ•œ YouTube ๋™์˜์ƒ์„ ์†Œ๊ฐœํ•ฉ๋‹ˆ๋‹ค. ์ „ ์„ธ๊ณ„ ์ตœ๊ณ ์˜ ์„ ์ƒ๋‹˜๋“ค์ด ๊ฐ€๋ฅด์น˜๋Š” ์˜์–ด ์ˆ˜์—…์„ ๋ณด๊ฒŒ ๋  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๊ฐ ๋™์˜์ƒ ํŽ˜์ด์ง€์— ํ‘œ์‹œ๋˜๋Š” ์˜์–ด ์ž๋ง‰์„ ๋”๋ธ” ํด๋ฆญํ•˜๋ฉด ๊ทธ๊ณณ์—์„œ ๋™์˜์ƒ์ด ์žฌ์ƒ๋ฉ๋‹ˆ๋‹ค. ๋น„๋””์˜ค ์žฌ์ƒ์— ๋งž์ถฐ ์ž๋ง‰์ด ์Šคํฌ๋กค๋ฉ๋‹ˆ๋‹ค. ์˜๊ฒฌ์ด๋‚˜ ์š”์ฒญ์ด ์žˆ๋Š” ๊ฒฝ์šฐ ์ด ๋ฌธ์˜ ์–‘์‹์„ ์‚ฌ์šฉํ•˜์—ฌ ๋ฌธ์˜ํ•˜์‹ญ์‹œ์˜ค.

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