Can you solve the rogue submarine riddle? - Alex Rosenthal

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  • čas přidán 22. 09. 2021
  • Practice more problem-solving at brilliant.org/TedEd
    --
    Smuggling yourself aboard the rogue submarine was the easy part. Hacking into the nuclear missile launch override - a little harder. And you’ve got a problem: you don’t have the override code. You know you need the same numbers that were used to authorize the launch, but one wrong answer will lock you out. Can you figure out what numbers to enter to stop nuclear war? Alex Rosenthal shows how.
    Lesson by Alex Rosenthal, directed by Igor Coric, Artrake Studio.
    A very special thank you to Jon Schneider and Brian Chen, who wrote the original version of this puzzle for the 2021 MIT Mystery Hunt and were inestimably helpful in adapting it to this format. You can find that original puzzle - and many more like it - at: bit.ly/MITHunt
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Komentáře • 1,6K

  • @TEDEd
    @TEDEd  Před 2 lety +1665

    Well, this is definitely one of our most difficult riddles! Did anyone manage to figure it out? Let us know how you did it ⬇️

    • @AmTrFilms
      @AmTrFilms Před 2 lety +247

      These aren't riddles, they are math problems with a story.

    • @sriram3710
      @sriram3710 Před 2 lety +28

      @Ted-Ed You just mixed number theory with Cheryl's Birthday Puzzle lol

    • @DanksterPaws
      @DanksterPaws Před 2 lety +8

      I havent even started the video yet puhleeze

    • @MarkWatney
      @MarkWatney Před 2 lety +56

      Ozo.

    • @reya9620
      @reya9620 Před 2 lety +36

      Oh no riddle can be more difficult than that 3 god riddle

  • @joe0001
    @joe0001 Před 2 lety +10076

    I was scuba diving one time in the Indian Ocean and I saw a submarine with minions and a nuclear weapon being launched. I watched this video and was able to stop it. Thanks Ted Ed

    • @TheAmusingAlex
      @TheAmusingAlex Před 2 lety +1087

      Impressive that you managed to watch the video, diffuse a torpedo that used the same logic as this video and then post this comment all in the space of 10 minutes. Kudos to you man!

    • @TEDEd
      @TEDEd  Před 2 lety +3596

      This is why we do what we do 🙏

    • @alpha.raptor1076
      @alpha.raptor1076 Před 2 lety +165

      The humour is strong with this one!

    • @joe0001
      @joe0001 Před 2 lety +187

      @I daignose you with invalid Oh, that’s me.

    • @vozamaraktv-art5595
      @vozamaraktv-art5595 Před 2 lety +123

      @@TEDEd You guys are one of the most consistent highest quality channels out there. Like Melodysheep, Kurzgezagt and Veritasium.

  • @blueghost.
    @blueghost. Před 2 lety +3760

    That boss should have thought twice before giving the codes to minions who are “expert logicians”

    • @thelunaticcultist5157
      @thelunaticcultist5157 Před 2 lety +66

      Especially when they don’t have the authority to disobey the boss’s orders and not launch the missile

    • @Entias
      @Entias Před 2 lety +136

      So what I'm hearing is that at least one of the minions has green eyes?

    • @idolevin8795
      @idolevin8795 Před 2 lety +97

      @@Entias and they know the meaning of Ozo and Ulu?

    • @Minecraftsofia123
      @Minecraftsofia123 Před 2 lety +65

      @@Entias And that the man in the green house stole the fish?

    • @lubu682
      @lubu682 Před 2 lety +2

      lmao

  • @aaronfidelis3188
    @aaronfidelis3188 Před 2 lety +3427

    I think the real question is “Why would you secure 2 nuclear lock codes with a single digit?”

    • @clodolcmidnights837
      @clodolcmidnights837 Před 2 lety +119

      Cos it’s easier to remember

    • @destinyjewel2588
      @destinyjewel2588 Před 2 lety +218

      Cause who would be looking for single digit numbers when they're described as a code? It'd be so simple that it just becomes too simple and maybe thrown out. It's still a poor choice but there could be some logic to it.

    • @switjive17
      @switjive17 Před 2 lety +100

      Because it wouldn't matter either way. The system was programmed to lock when a wrong code was entered so brute forcing it wouldn't work.

    • @ianivie8175
      @ianivie8175 Před 2 lety +17

      Cuz the likelihood that someone randomly guess them on the first try is precisely 1 in 42
      Edit:
      1 in 30. I misheard the boss when he came back to the minions. And it's actually 1 in 60 if they don't have to be in a correct order.

    • @dsdy1205
      @dsdy1205 Před 2 lety +70

      You may be interested to know that for the longest time during the Cold War the password on US nuke silos was 000000

  • @TheBadlandsSandvich
    @TheBadlandsSandvich Před 2 lety +1856

    Normally once they explain how to solve the riddle, I'm able to follow along and go "Oh, that makes sense."
    This one, I'm still just as lost as when I pressed play.

    • @cozyflurry
      @cozyflurry Před 2 lety +23

      Same-

    • @anjanachoudhury6808
      @anjanachoudhury6808 Před 2 lety +13

      This is always for me

    • @ciarangq427
      @ciarangq427 Před 2 lety +22

      Tbh I knew more about before i started the video

    • @Fut_re
      @Fut_re Před 2 lety +6

      Proof by contradiction. By going through the possible results in reverse and eliminating those that would cause a contradiction in the facts, you could find the answer.

    • @aidan-ator7844
      @aidan-ator7844 Před 2 lety +13

      I actually had something going, then I just wanted to know the solution so I watched the rest of the video amd for a while I was more confused.

  • @TheTexas1994
    @TheTexas1994 Před 2 lety +4157

    So the boss didn’t want the minions to know each other’s code, but then nonchalantly tells them how to find it?

    • @tcakereal8413
      @tcakereal8413 Před 2 lety +23

      I commented something like that before I refresh and see this haha

    • @mice2188
      @mice2188 Před 2 lety +354

      and what kind of boss creates a Single-digit override key/password to his missile???

    • @aaronfawcett9911
      @aaronfawcett9911 Před 2 lety +234

      The boss was concerned that they'd launch without permission, not that they'd over-ride the launch. If that's the only nuke there's no issue.

    • @JjMn1000
      @JjMn1000 Před 2 lety +2

      Lol

    • @MiracleMirror117
      @MiracleMirror117 Před 2 lety +64

      That's after the launch is initiated. It doesn't matter anymore.

  • @pmuean
    @pmuean Před 2 lety +4345

    "Can you solve the rogue submarine riddle?"
    I know I never can. I just enjoy the video.

  • @samchiu9918
    @samchiu9918 Před 2 lety +453

    1:36: "6. The minions are expert logicians."
    Then why are they stuck as minions?

    • @patrickphelan279
      @patrickphelan279 Před 2 lety +35

      Minions have a chance to escape when the bomb goes off. Big Bads get taken down one way or another.

    • @baldwinivofjerusalem47
      @baldwinivofjerusalem47 Před 2 lety +38

      Because the boss is a master logician ehe.

    • @mrjoe332
      @mrjoe332 Před 2 lety +27

      Diplomas aren't worth much lately, they still have to start low

    • @ianivie8175
      @ianivie8175 Před 2 lety +13

      Cuz the boss is 10x their size and can kill them with a single finger if they get out of line. XD

    • @cozyflurry
      @cozyflurry Před 2 lety +1

      99th like

  • @nai_._ya
    @nai_._ya Před 2 lety +281

    Hears the question: **confusion**
    Hears the solution: **even more confusion**

  • @dillonfernando278
    @dillonfernando278 Před 2 lety +1805

    Difficulty level: master
    Ah yes, becouse all of the other riddles are just too easy

    • @stomyn
      @stomyn Před 2 lety +27

      I don't know, the elemental crystals riddle was pretty straightforward

    • @EnriqueLaberintico
      @EnriqueLaberintico Před 2 lety +26

      @@stomyn yes, table riddles are in the lowest level, as much as Troll Paradox was.

    • @Ripurlife
      @Ripurlife Před 2 lety +13

      the pearl chests takes my potato brain 10 seconds only

    • @uncanadien3272
      @uncanadien3272 Před 2 lety +2

      This is definitely one of if not the toughest

    • @danielvona8118
      @danielvona8118 Před 2 lety +7

      Where does it say difficulty level

  • @jmbw4271
    @jmbw4271 Před 2 lety +503

    I got a little confused with the “two or more whole numbers” and went with two or more digits per code. Still had fun!

  • @cosie1336
    @cosie1336 Před 2 lety +435

    I love that I've watched enough of these to recognize that the minions being able to figure out each other's answer is actually useful information. Still can't solve it, but I'm interested to see how it works in the solution.

    • @mckennalien5444
      @mckennalien5444 Před 2 lety +4

      YES SAME

    • @isaacm6052
      @isaacm6052 Před 2 lety +8

      I think recognizing that as useful information is kinda easy because it’s basically the only information given.

    • @planetearth8044
      @planetearth8044 Před 2 lety +1

      This whole riddle reminded me of that one harry potter bonus riddle

  • @destegiovi
    @destegiovi Před 2 lety +247

    The real genius here is B, he understood what A's number was in no time. He should get a rise and become the BBEG of the sequel to this video...

    • @summertriangle4745
      @summertriangle4745 Před 2 lety +13

      Sad he's dead.

    • @destegiovi
      @destegiovi Před 2 lety +13

      @@summertriangle4745 ...Plot twist! He's not, and wants his revenge...

    • @summertriangle4745
      @summertriangle4745 Před 2 lety +4

      @@destegiovi❗❗❗

    • @RGC_animation
      @RGC_animation Před 2 lety +2

      But he got exploded by their own missiles. Shouldn't have became expert logicians.

  • @antarctica0938
    @antarctica0938 Před 2 lety +492

    "Can you solve this riddle?"
    Of course not, but I'm going to watch this anyways

  • @Alkalus
    @Alkalus Před 2 lety +456

    When Ted-Ed adds the difficulty level to the riddles, I know I am up for the challenge to solve them.

  • @terenx5
    @terenx5 Před rokem +24

    thank you youtube for recommending this to me based on recent events

  • @Y_elloww
    @Y_elloww Před 2 lety +27

    The big boss is the true definition of *”When the villain talks too much about their plans”*

  • @1.4142
    @1.4142 Před 2 lety +133

    This is only the baby version of the riddle. The original one goes like this:
    Two perfect logicians, S and P, are told that integers x and y have been chosen such that 1 < x < y and x+y < 100. S is given the value x+y and P is given the value xy. They then have the following conversation.
    P: I cannot determine the two numbers.
    S: I knew that.
    P: Now I can determine them.
    S: So can I.
    Given that the above statements are true, what are the two numbers?

    • @D4rkRCS
      @D4rkRCS Před 2 lety +5

      Is it 9 and 18

    • @carpediem6841
      @carpediem6841 Před 2 lety +3

      I believe the answer is 4 and 13

    • @cooperplant8907
      @cooperplant8907 Před 2 lety +3

      @@carpediem6841 there are no numbers that add up to 4 and multiply to 13

    • @carpediem6841
      @carpediem6841 Před 2 lety +5

      @@cooperplant8907 4 and 13 are x and y. S is given 17 and P is given 52

    • @adamzheng4362
      @adamzheng4362 Před 2 lety +24

      I consider this version easier because you know by default there are only two numbers.

  • @cloroxbleach7554
    @cloroxbleach7554 Před 2 lety +69

    *Puts gun to head pointblank*
    "What's the code? Don't make me ask twice."
    *Nuclear unarmed, world saved.*

  • @adanganaafan2811
    @adanganaafan2811 Před 2 lety +13

    1:00 just your everyday conversation with your boss

  • @dashyz3293
    @dashyz3293 Před 2 lety +43

    Plot twist: the boss was not perfectly logical, did a miscalculation, and now you're locked out.

  • @LessonIsNeverTry
    @LessonIsNeverTry Před 2 lety +81

    I was confused by what it meant for an integer to have 2 elements, when it actually meant that the set had 2 elements. And later the explanation didn’t clearly distinguish between the reasoning would lead to B knowing, and the reasoning would lead to B not knowing; I thought it was a single line of reasoning, and then suddenly we’re left with 4 options, whoa!

  • @nyanSynxPHOENIX
    @nyanSynxPHOENIX Před 2 lety +18

    I love how everyone in Ted-ed's puzzles are expert logicians, who can solve multi step processes within minutes mentally.

  • @lancebird6675
    @lancebird6675 Před 2 lety +73

    Step 1: Confirm you have Green Eyes
    Step 2: ask the minions for the 2 pass codes

    • @Alexander-km2jo
      @Alexander-km2jo Před 2 lety

      What is it with the green eyes by the way

    • @lancebird6675
      @lancebird6675 Před 2 lety +5

      @@Alexander-km2jo it's a meme from the Green eyed Kids riddle in this channel.
      You'd have to watch that one to get it.

    • @sooryanshsachan6516
      @sooryanshsachan6516 Před 2 lety +3

      I was looking for this comment 😂😂😂

    • @deepfriedlettuce.
      @deepfriedlettuce. Před 18 dny

      @@lancebird6675what, no it’s the green eyes riddle on this channel
      edit: never mind, i read it wrong

  • @lootgodamn5721
    @lootgodamn5721 Před 2 lety +63

    I'm blessed with a perfectly timed upload of ted ed

  • @cipherking4798
    @cipherking4798 Před rokem +54

    *Boss after his integer explanation*
    A:that’s oddly specific boss…
    B:Yeah really specific…
    Boss: at least my name parents didn’t name me A or B!
    A+B: *SADNESS*

  • @goldenwaffle421
    @goldenwaffle421 Před rokem +38

    Don't worry guys I solved this and now imma go save those people

  • @patrickphelan279
    @patrickphelan279 Před 2 lety +89

    "I don't know if two one-digit launch codes really make logical sense as security."
    "Well, remember, B, we know that we're perfect logicians, but the boss might not be."

    • @steeledminer616
      @steeledminer616 Před 2 lety +1

      I mean... the thing is your logic is exactly why it's a perfect code;
      Nobody would expect such weak security. Force overthinking.

  • @vanivanov9571
    @vanivanov9571 Před 2 lety +118

    I think I solved the riddle in about ten minutes. Wasn't timing it, so we'll never know if I could've saved the world.

    • @mubasshir
      @mubasshir Před 2 lety +5

      Genius

    • @vanivanov9571
      @vanivanov9571 Před 2 lety +14

      ​@@mubasshir Thanks very much. I had more trouble interpreting the English and the parameters of the puzzle, than I did the math.
      I basically just worked through the first couple of possibilities, same as the video. Can't be 1+2||1x2, since it'd be obvious to both of them, and 1+4||1x4 was the first number which had all the elements needed, so it only took the fourth step of trial and error.

    • @mubasshir
      @mubasshir Před 2 lety +5

      @@vanivanov9571 oh you went that far? I was trying randomly. 2,3 and even 4 digits. Should've been more systematic

    • @vanivanov9571
      @vanivanov9571 Před 2 lety +5

      ​@@mubasshir ​ I also started with 2,3 as my first example to try and understand the logic of it, interestingly. After that, I decided to start from the smallest end of things, figuring that all I needed was two possible combinations to make the statements true, and that one should appear quickly in the low end of numbers.
      Honestly, even after I worked it out I wasn't sure if I got it, since I didn't properly comprehend their explanation at the start. That's my usual problem with these riddles.

  • @nalediajulu
    @nalediajulu Před rokem +15

    being brought back here after a certain something really makes me laugh

  • @alexismandelias
    @alexismandelias Před 2 lety +24

    I love how they removed the "Difficulty: Master" part of the title

    • @dryzalizer
      @dryzalizer Před 2 lety +5

      Yeah I'm no master of these riddles but I was able to solve this one in my head in about 10 minutes without writing anything down. The explanation looks pretty complicated in the video, but if you understand the problem completely you quickly realize there aren't many options to work through and they're all very simple arithmetic.

  • @wobblyorbee279
    @wobblyorbee279 Před 10 měsíci +4

    i love how it's incredibly complicated and takes A LOT of steps more than you think it would, when you were just playing with SUCH SMALL NUMBERS

  • @RamirodeSouza
    @RamirodeSouza Před 2 lety +106

    I got lost a little.
    The boss says he chose numbers less than 7, but did he specify that the sum and product must also be less than 7?

    • @nehamotwani6477
      @nehamotwani6477 Před 2 lety +14

      Yes exactly. Otherwise 3 and 5 can also work.

    • @murphygreen8484
      @murphygreen8484 Před 2 lety +24

      Yeah I'm still confused as well. Also, why call them elements and not digits?

    • @ToRaTaE
      @ToRaTaE Před 2 lety +7

      I was wondering the same, but no, I think it is A’s logic that excludes possibilities above 1x6

    • @IavraPlays
      @IavraPlays Před 2 lety +5

      @@nehamotwani6477 That's what i thought at first, but 3x5 = 15, same as 3x5x1, so B wouldn't know A's number. Since the number must have at least 2 factors, it must have exactly 2 to make sure 1 is accounted for. Or at least that's how i explained it to myself.

    • @MasterM23
      @MasterM23 Před 2 lety +4

      No, it is A's first sentence that excludes all but 1xP P Prime and 1xN^2

  • @matthew3563
    @matthew3563 Před 2 lety +16

    I like how the laptop is RGB, the little details

  • @zlpoon858
    @zlpoon858 Před 2 lety +16

    Ah yes, now I know not to give minions a one-digit code next time. I'll give them a 2 digit one :D

  • @johnnyvaughan5841
    @johnnyvaughan5841 Před 2 lety +17

    Boss: "I can't let my minions be able to launch the nukes on their own. I must ensure the security of my assets!"
    Also boss: *makes the password to launch the nukes 2 one digit numbers."

  • @cheryl9809
    @cheryl9809 Před 2 lety +39

    There are difficulty levels now?!
    I probably still can't solve baby difficulty riddles...

  • @pmangano
    @pmangano Před 2 lety +23

    Ted riddles are like: "so, a duck is falling from the sky into a fantasy lake that will start a chain reaction and set the world of fire, but if you manage to shout out the numeric sequence that god was thinking at the time of creation you can prevent it. Here are some incredibly random clues about said number, can you save the world?"

  • @oops7520
    @oops7520 Před 2 lety +15

    Thank you Ted-Ed for believing I ACTUALLY have the ability to solve this riddle.
    I failed by the way, but I mean it was fun to watch.

  • @boRegah
    @boRegah Před rokem +18

    These stories are always so outlandish and unrealistic :D It's obvious that someone finds or comes up with a riddle and then the storyline is forcibly shoehorned around it. But it's super funny to me. The riddles and the animations are always superb and the seriousness of the presentation makes the "story" very enjoable. And of course it makes it all easier to grasp too.

  • @KERES_Makani_.
    @KERES_Makani_. Před 2 lety +7

    Oh hey, a new riddle!
    Not that I can solve it on my own, I just like to see the story behind each one lol

  • @nisamtijakriv3113
    @nisamtijakriv3113 Před 11 měsíci +10

    Too bad people on the Titan submarine didn't know such override code

  • @UnorthodoxSoundwave.
    @UnorthodoxSoundwave. Před 2 lety +2

    I think this is the first time that I was both unable to solve the riddle, _and_ unable to grasp how the solution was deduced

  • @BoayHao
    @BoayHao Před 2 lety +8

    Teacher: The test isn't that hard
    The test: 1:30

  • @NobodyYouKnow1000
    @NobodyYouKnow1000 Před 2 lety +14

    Mr Ted, in future I would greatly appreciate if in puzzles like this the characters were named something more specific than "A" and "B", and maybe if they had contrasting character designs. It's easier to follow along with the explanation if I can tell who thinks what

  • @wholefoods1145
    @wholefoods1145 Před 11 měsíci +8

    Hits different in 2023

  • @Mswordx23
    @Mswordx23 Před 2 lety +31

    I misunderstood the riddle. I thought the sums and products could be greater than 7, but the numbers comprising the sums/products couldn't be greater than 7. I might have made it harder on myself. Oh well, too late, I looked at the answer.

    • @GamingDragon07
      @GamingDragon07 Před 2 lety

      Same

    • @ashutoshmahapatra537
      @ashutoshmahapatra537 Před 2 lety +1

      Actually products and sum can indeed be greater than 7 it's not necessary for them to be less than 7 but here for sum or product to be greater than 6 contradicts statement of B that he must know the sum. But, I'm not sure about this though as few other people also have answer more than 7. Needs deep inspection.

    • @outdoordannyd
      @outdoordannyd Před 2 lety +1

      @@ashutoshmahapatra537 18 and 360 satisfy the conditions

    • @MasterM23
      @MasterM23 Před 2 lety +1

      Sum and product could be greater than 7, but when A starts by saying B might know his number already we know it has to be 1xP, P Prime or 1xN^2.

    • @MasterM23
      @MasterM23 Před 2 lety

      @@outdoordannyd A says B could already know the answer with his number, but for 360=6x5x4x3x1=6x5x4x3 so B could not know his number.

  • @Serennekin
    @Serennekin Před 2 lety +4

    This is probably the hardest solution I’ve heard from these riddles. Like I usually understand the solution when explained but I’m even more confused now after hearing it.

    • @Keijo_
      @Keijo_ Před 2 lety +1

      I'm pretty sure the wording is just not clear enough. When this many people are commenting about being confused you've gotta think that's a flaw of the video

  • @namitkumar8493
    @namitkumar8493 Před 2 lety +35

    This editing is crazy good. Also I love the narration, and the riddle is very hard, not for casuals like me. If only I had green eyes...

  • @marcoluciani4790
    @marcoluciani4790 Před 2 lety +12

    Alright so I'm gonna be honest here chief these are usually fun little brain teasers but right now I've heard the thing explained to me about 4 times already and the only thing I'm feeling is my brain dripping out of my ears.

  • @zengara11
    @zengara11 Před 2 lety +1

    Honestly, the only good riddles on youtube

  • @MarkWaner
    @MarkWaner Před 2 lety +2

    The piece where the boss comes and tells the information needed by the protagonist reminds me of so many films ;)

  • @the_jingo
    @the_jingo Před 2 lety +6

    Ah yes 1 digit nuclear code

  • @markdaniel9657
    @markdaniel9657 Před 2 lety +10

    Everybody's talking about how the boss spelled out the solution for finding out the launch codes for his minions, but can we talk about that both launch codes were single-digit numbers?

  • @susanamartin2369
    @susanamartin2369 Před 2 lety +2

    This was probably the most confusing riddle I've ever watched on this channel

  • @foxxylee3
    @foxxylee3 Před 2 lety +1

    I always enjoy watching these, I get completely left behind as soon as they start talking about how to solve the puzzles. It’s fun being clueless but trying to follow along.

  • @bethjacobx
    @bethjacobx Před 2 lety +8

    this follows the same sort of logic as the bonus harry potter "how many times did you watch the titanic" riddle!

    • @CorviKid999
      @CorviKid999 Před 2 lety

      why don't they ever show the answers to the bonus riddles without you paying ACTUAL MONEY?

  • @TheMusZero
    @TheMusZero Před 2 lety +16

    In my opinion, when B says "I know your number, and now know..." it implies that he knew A's number before A said anything. This makes sense if B has the product 4 or 5 but does not make sense if the product was 8.
    If A had the sum 6 and B had product 8, he would be able to infer that A has 6 only after A has spoken and indicated that the sum must be 5 or 6. In this case, B would have said "I now know your number, and...". Therefore, A having the sum of 6 and B having the product 5 is also a valid solution as A will know that the product cannot be 8 based on the wording.

    • @johnschmidt1262
      @johnschmidt1262 Před 2 lety +3

      Is that tripped me up as well, If you change the order of the conversation to, I know your number, Oh I wasn't certain if you knew my number or not, You know my number now, then the outcome changes. Still I think the original answer is correct as is.

    • @spamaccount3491
      @spamaccount3491 Před 2 lety +1

      I did the same thing and got 1 and 5. I have no idea how anyone interpreted it the other way.

    • @rohanmudumba2545
      @rohanmudumba2545 Před 2 lety +1

      Actually, he doesn’t have to clarify whether he knew before or figured out from A’s statement. It’s on A to decide whether it was before or after and if he can’t decide(as in the 6 sum case) then it has to be the other one. B’s statement that A NOW knows indicates that what he just said makes clear without a doubt which one he has.

    • @rybiryj
      @rybiryj Před 2 lety

      In my opinion there is no such implication. I agree that this wording would be weird in the case of A=6, B=8. But weird doesn't mean false. It is like "I know your number (and I'm not telling you whether I knew it earlier or not) and I know you know mine (and for this part of this sentence I admit I only have this knowledge after you spoke)"

    • @ataarslan9211
      @ataarslan9211 Před 2 lety +2

      I was thinking of the same thing as well. If B had a product of 5 he could deduce A's number is 6. While A doesn't know at the start if B's number is 5 (1 x 5 ), 8 (2 x 4), or 6 (1 x 2 x 3), after B says that he found A's number, A could deduce that only 5 could be B's number.

  • @nevereverr
    @nevereverr Před 2 lety +1

    I love the boss just casually picks them up

  • @Epqsilon
    @Epqsilon Před 2 lety +13

    I think I've got another solution by thinking about missing numbers from the set of (1,2,3,4,5,6) instead.
    - If the boss choose (3,4,5,6), then A has 18 and B has 360.
    - A will not be sure if (1,2) or (3) are missing, while B will not be sure if (1,2) or (2) are missing.
    - However if only (2) is missing, A would have had 19 and A would immediately know the boss set. (There is only one set that sum is 19.)
    - After A stated that 'I don't know', B now knows that (1,2) are missing and A got 18.
    - After A knows that B knows, A is now certain (1,2) are missing and B got 360.
    - Because if (3) is missing instead, B would have got 240, which means B are not sure if (1,3) or (3) are missing, which means B are not sure if A has 17 or 18, but each number does not have unique set like 19; 17 could be (1,2,3,5,6) or (2,4,5,6) while 18 could be (1,2,4,5,6) or (3,4,5,6).

    • @cheshire1
      @cheshire1 Před 2 lety +3

      A gets 18 and knows that B has either 240 (1,2,4,5,6) or 360 (3,4,5,6). In both cases, B doesn't know A's number (you explained the reason already). This means A knows that B doesn't know their number. That contradicts A's Statement.

    • @kaienumino1811
      @kaienumino1811 Před rokem

      @@cheshire1 Actually no. If B has 360, he would know A would have either 18 or 19. If A got 19 he would immediately know B's number, because it is the only combination with that sum. So B concluded that A has 18.

    • @cheshire1
      @cheshire1 Před rokem +1

      @@kaienumino1811 No one said that A doesn't know B's number, so B can't use that to rule out 19.

  • @KuroroSama42
    @KuroroSama42 Před 2 lety +17

    Rule 1 REALLY needs to be reworded. I needed to see part of the explanation and then re-read it a few times to link it as a "set with at least 2 elements". Initially, I was trying to figure out how the numbers "had" 2 elements and what those "elements" even were. I was also confused as to what subject the "In other words" was rewording - the whole rule or the "elements" part.
    Either keep only the "In other words" or change it to "chose at least 2 distinct positive integers".

    • @GabriTell
      @GabriTell Před rokem +1

      True...
      I confused the rules, so I arrived to the conclusion of "7" (5+2) and "10" (5x2) for "A" and "B" respectively, which actually would be true if the rules said that the 2 Codes are the Sum and the Multiplication of *only two numbers* (I missed the "at least" part lmao) different each other and lower than "7" for "A" and "B" respectively.
      It bothers me because I know I'd have been able to solve it if I had all the rules clear (since I followed the same reasoning as him to solve it), but I now don't have any empirical way to prove it 😔

  • @lilyll6441
    @lilyll6441 Před rokem +11

    I’m so happy :))) This is the first Ted riddle that I managed to solve in my head without the use of scratch paper!

    • @lowellfinn
      @lowellfinn Před rokem +2

      Wow! Amazing! You must be a mathemathics and game theory genius to be able to solve a puzzle like this and not the other simpler ones (e.g. bridge riddle). And you're solving it all in your head, without any scratch paper, something that even the most trained logicians couldn't do.

  • @daredevil3034
    @daredevil3034 Před 2 lety

    I'm expecting more and more riddle like this from you, these riddles are so good....

  • @apokalypthoapokalypsys9573
    @apokalypthoapokalypsys9573 Před 5 měsíci +1

    This is probably one of TedEd's hardest puzzles, and yet I figured it out in about a single minute (and lying in bed before sleep), yet I had failed to figure out dozens of much easier puzzles before this. Funny how our brain works! The clue for me was that the boss's two original numbers were distinct, so 1 and 4 are good numbers because their product (4) can only be made in a single way (since 2 and 2 are duplicates). 1 and 5 would add up to 6 which could, however, also be a factor of 2 and 3 so the other minion wouldn't have been able to narrow it down like he did. So the originals must have been 1 and 4.

  • @realmofriddles
    @realmofriddles Před 2 lety +3

    This was tough, especially the part about decoding "I don't know whether you know my number"!

  • @MoonMixer939
    @MoonMixer939 Před rokem +7

    Bad time to reccomend this CZcams, bad time

  • @PinkLemonades1326isthisahandle

    These riddles are so well made, keep up the good work!

  • @starcloak
    @starcloak Před 2 lety

    It feels like forever ago since one of these, absolutely love them ❤

  • @bethjacobx
    @bethjacobx Před 2 lety +5

    5:55 wait... did i just kill minions A and B? rip

    • @magnus0017
      @magnus0017 Před 2 lety +1

      Congratulations! You solved the riddle! You monster.

  • @BdR76
    @BdR76 Před 2 lety +17

    This riddle requires you to know what *"the elements of an integer"* means, which I do not know and this video did not explain.

    • @motmahp
      @motmahp Před 2 lety +6

      It took me a while to figure this out, but it's the set that has elements, not the integers. It would have been more clearly stated as "The boss chose a set of at least two distinct positive integers, each less than 7."

  • @jeavoirichards9379
    @jeavoirichards9379 Před 2 lety

    I love these riddles TED-Ed. I wouldn't mind if there were lots more of them.

  • @archtansterpg4246
    @archtansterpg4246 Před 2 lety

    This one was such a toughie, even the explanation confused me for a sec and I had to replay it multiple times.

  • @kingvideogames
    @kingvideogames Před 2 lety +6

    Question: Why would the boss even consider that random fact about the numbers to be worth sharing or considered as “funny story”?

  • @tlxyxl8524
    @tlxyxl8524 Před 2 lety +8

    This one is actually hard, one of the few on this channel that I didn't managed to solve right away (but I did get very close). I have a feeling that the number must be very small and there is only 2 number in the set (otherwise there will be way too many cases to consider). Then, I realize that the set must have 1, because otherwise B wouldn't possibly know the answer even if it can be factored (i.e, if B's number = A x B, the set could be (1, A, B) or (A, B), which result it different sums). After this, I only tried found (1, 5), and it seems to be working.
    After watching the solution, I know (1, 4) works, but I still don't understand why (1, 5) does not work. A's statement is quite self explanatory: when A knows he has 6, B could have 5 (1x5), in which he knows A's number (even before A say anything). B could also have 8 (2x4, 1x2x4) or 6 (2x3, 1x2x3), in which B cannot tell A's number. So A knows that depending on B's number, B could know the underlying set, which gives A's number, or B could not. So he said "I don't know if you know". B's first part also works if B has 5=1x5. However, B knows A will know the underlying set after he said "I know your numbers". This is because he knows A has 6, which can has product of any of 5, 6, 8, and B has 5 is the only possibility that B would know the set (and thus A's number). This means if we separate B's statement (i.e., suppose B said 2 sentences and A comprehend them sequentially), it actually works.

    • @davidnabeiro6703
      @davidnabeiro6703 Před rokem

      Exactly, I was looking for this comment

    • @calebhindy5937
      @calebhindy5937 Před rokem +1

      If the sum was 6, a product of 5 (1x5) or 8 (2x4) would also tell B that the sum was 6. The reason B can conclude the sum is 6 (when his product is 8) is because he knows 1x2x4 can't be a combination, since their sum is 7. If their sum is 7, A would know for sure that B wouldn't be able to figure out A's number, since all the 7 combinations (1+2+4, 5+2, 4+3 --->> 1x2x4=8, 5x2=10, 4x3=12) wouldn't allow B to narrow down and figure out A's number. Thus B knows that a sum of 7 would contradict A believing B could figure out his sum.

    • @barnabusowl4252
      @barnabusowl4252 Před rokem

      I followed a similar logical path and narrowed it down to (1,4) and (1,5) myself... thought about it for another 10 minutes and couldn't really get anywhere.

  • @kacelyncalhoun3725
    @kacelyncalhoun3725 Před 2 lety +1

    You should do more riddles!

  • @Olegusar777
    @Olegusar777 Před 2 lety

    This has to be one of the most convoluted riddles on this channel

  • @yourlocalsadboi6299
    @yourlocalsadboi6299 Před rokem +21

    This did not age well

  • @davidbjacobs3598
    @davidbjacobs3598 Před 2 lety +4

    I was quite close, but tripped up by 1:20 "B thinks this over."
    If B's product is 4, then the information A presents is actually irrelevant -- B immediately knows A's number, as 1x4 is the only possible way for this to be the product, and 5 must therefore be the sum. But B "thinking this over" got me into the headspace that A's information was NECESSARY for B to know A's number.
    I came down to 5 & 4 or 6 & 8, but went with 6 & 8 because of this trip-up. Argh...

  • @_amemyo
    @_amemyo Před 2 lety +1

    "The test won't be that hard."
    The test:

  • @naveenraj2008eee
    @naveenraj2008eee Před 2 lety +2

    Its very difficult puzzle ever i heard or seen..
    One who came idea of this puzzle is truly genius..
    Thanks ted ed for wonderfull lesson..

  • @aadityachhitarka1938
    @aadityachhitarka1938 Před 2 lety +3

    Is it just me or their boss wanted to be a mathematician, but ended up in the criminal world?

  • @SurrealKeenan
    @SurrealKeenan Před 2 lety +7

    It is worrying that 2 perfect logicians agreed that launching nukes to cause chaos was the correct thing to do

  • @mr.lejend1825
    @mr.lejend1825 Před 2 lety +2

    I have a much simpler solution:
    1. Confirm you have green eyes
    2. Get into House Minotaur
    3. Escape the 3 alien overlords
    4. Confront the 2 minions & challenge them to a wizard duel
    4.5. Use the worst wand available & miss
    5. Once defeating the minions, ask them to stop the missile for you

  • @DeaconD5
    @DeaconD5 Před 2 lety

    I love these oddly specific riddles

  • @user0724-Taiwan
    @user0724-Taiwan Před rokem +5

    Is this puzzle has a bug or someone has the answer ? Why can't A=6 and B=5 be the second answer ? Since 6= 1+5 or 2+4 or 1+2+3 and now switch it to B's side, 2*4=8 and 1*2*3=6 (Which 8 :"" 1*2*4 or 2*4 "" and 6: "" 1*2*3 or 2*3 ""can't be B's answer. Because if they are B's answer then he wouldn't sure what A got) Therefore, the moment B says "I know your answer" A can figure out B's answer is 1*5=5.

    • @asdf-yt4ik
      @asdf-yt4ik Před rokem +2

      Because B knows that the sum should be either 5 or 6. Otherwise, there are no way that B can guess the sum with his number and this would mean that A should've say "I know that you don't know my number".

    • @Zehua135
      @Zehua135 Před rokem +2

      I agree with you Sam! In any case, if B says that he knows A's answer, A can conclude that the only way for B to do so would be 1,2 1,3 1,4 or 1,5. Since A did not know the numbers at first, we eliminate 1,2 and 1,3. So whether A get a sum of 5 or 6, A will know B's number the moment B says he knows A's number.

    • @Zehua135
      @Zehua135 Před rokem +1

      Okay oops actually there is no second answer but the video did not explain it clearly. Basically what asdf123 is right. If the sum for A is 7, A will say that there's no chance my number can be known (you can write out the cases and you'll see). Which is why the dilemma of 2,4 and 1,2,4 does not exist; B will know straight away that 2,4 are the right numbers. Hence from A's perspective, A would not know if the numbers are 2,4 or 1,5.

  • @ThitutUhthalye
    @ThitutUhthalye Před 2 lety +4

    When you don’t understand the problem. Watched it. And had yet to understand it anyway.

  • @hulohyou8536
    @hulohyou8536 Před 2 lety +1

    Interesting conversation those chaps have

  • @RobjectionableContent
    @RobjectionableContent Před 2 lety +1

    This might be the first time I haven't understood the answer even after it's explained to me.

  • @TitusRex
    @TitusRex Před 2 lety +4

    I solved this using excel (to be quicker).
    Listed all the possible combinations of numbers 1to 6 without repeating digits (there's 57 combination), then calculated the sum and product of the digits. Looked for the non duplicate values in the product column that had a duplicate value on the sum column, and voila the sum is 5, the product is 4 and the seed digits are 1 and 4.

    • @cheshire1
      @cheshire1 Před 2 lety +1

      I think you got lucky. The sum also needs to be connected to a duplicate product (else A would know that B knows their number) and it can't be connected to a second non-duplicate product (else A wouldn't know which of them was B's number after B's statement).

  • @icantchooseaname6903
    @icantchooseaname6903 Před rokem +5

    this aged like fine cheese

  • @cozyflurry
    @cozyflurry Před 2 lety +2

    I love how the big boss was just rambling x2 speed about math-related stuff and I couldn’t understand a single thing, but minion B was like: “Oh now I know your number and you know mine too!”

  • @Rukir
    @Rukir Před 2 lety

    I was finally going to try answering one of the riddles myself, but I just so happened to decide that on this one.. maybe another time

  • @giuseppepaolini6754
    @giuseppepaolini6754 Před 2 lety +3

    i didn't read "difficulty level: master" and i started the video so confident in myself... now i have headache

  • @GriffinHelabiski
    @GriffinHelabiski Před rokem +6

    Welp

  • @ash91297
    @ash91297 Před 2 lety +1

    The odds of me getting those numbers right by chance alone are way higher than me working out the correct solution.

  • @keylite69
    @keylite69 Před 2 lety +2

    Step 1: Tell the minions that at least one of them has green eyes
    Step 2: Ask the minions to ask the boss to leave

  • @daniyalkhawaja1913
    @daniyalkhawaja1913 Před 2 lety +17

    The rules for this one did not mention that the numbers the boss provided were under 7, they only mentioned that the elements of the numbers were under 7, not the actual product or sum. This led me to see that the only way they could each know which number they had was 21 and 720. Because in the scenario described you can have at least 2 elements. So the only way to be certain is to have all of the elements under 7 non repeating. Something like 123456.

    • @cheshire1
      @cheshire1 Před 2 lety +3

      3 (1+2) and 2 (1x2) would also work for this.

    • @Lanomalia
      @Lanomalia Před rokem +2

      It is exactly my point. Initial information aren't complete

  • @GoharFatima1920
    @GoharFatima1920 Před 2 lety +6

    By the way Ted ed Team it’s been ages since you uploaded riddles🌺you should release them more often, thanks🤩

  • @GauthamSwaminathan
    @GauthamSwaminathan Před 2 lety +1

    I’m kinda proud of myself for nearly solving this problem. I used a different approach but narrowed it down to 6 answers. And then I chose 1 x 6 like a dunderhead. It was 5 in the morning and I was doing it in my head, and I was getting frustrated with the riddle. I had 1 x 5 and 1 x 4 on the list but I just ignored them for some reason.

  • @Elkinen
    @Elkinen Před 2 lety +2

    Obligatory.
    Step 1: Confirm you have green eyes
    Step 2: Ask the minions to leave