The seesaw will NOT be perfectly balanced. Thus we need to log224 bits of information to solve the puzzle. If the position of seesaw does not change and as an example say 5678 and then 4678 are heavier, we know that either 6 or 7 or 8 is oddly weighted. How do you figure out which one is heavier? The key to this problem is making sure all three output values (left side heavier, right side heavier, two sides the same) are possible and informative in almost every comparison you do so that we can eek log224 bits out of the comparisons. The exciting catch? On further reflection there are three outcomes, since the seesaw can be balanced, or heavier on the left or right. 11 of them weigh the same and one of them is either slightly heavier or slightly lighter. It is a good write up though. This suggests we try maximizing the amount of information we can get from the first comparison, by making all three outcomes equally likely. Learn more. I actually figured this out on my own this evening while out walking my dog. For example person F will sit on the right, then stand out, then on the left. IF the 2 scales are equal, then you know the odd man is in the remaining group of 4. (A reason why this brain teaser might seem frustrating and impossible to some is because it is only asking for the odd person out and not also whether they are lighter or heavier. Are there basic weighing puzzles requiring adaptive strategies? I like Rosa's answer squeeze until fatty confesses. Example for condition 1: put three "unknowns" against three "knowns". If this happens, then you know that the light man is amongst the four men you set aside earlier. Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site. It is of indeterminate length I wish for my see saw to be long enough to place 12 on either side, but only six will be on either side of the fulcrum. Learn more about Stack Overflow the company, and our products. (Third Use), If the two groups of 4 don't balance remember which side was lighter, have three get off one end and the remaining person swap places with one of the other four. Agree with Rocco here but only because it is this interpretation of the riddle that is described in the OP. New comments cannot be posted and votes cannot be cast. It only takes a minute to sign up. You can only use it three times. All of the islanders individually weigh exactly the same amount, except for one, who either weighs more or less than the other 11. Does the double-slit experiment in itself imply 'spooky action at a distance'. I later went back and refined it a little, so here it is. The seesaw will balance perfectly. You have to figure out which Islander is the heaviest using a seesaw. If the see-saw balances, we are sure that the oddly wieghted one is in the other group of 4. One of two things will happen: The seesaw will be perfectly balanced. sideline: S1 S2 S3 S4 If the seesaw balances we know that either 1 or 2 or 3 is oddly weighted. Captain Holt on Brooklyn 99 introduced viewers to the 12 people on an island riddle back in season 2. You must figure out which. In other news,did Pete Davidson tattoo a kid? Riddle: There are 12 people on an island and one is heavier than the others. sideline: S4 L1 L2 L3 L4 R4 There are 12 men on an island. Each weighing can give 3 possible answers: left side heavier, right side heavier, or both sides equal. Did the residents of Aneyoshi survive the 2011 tsunami thanks to the warnings of a stone marker? i checked if there was already someone that posted a riddle about the 12 islanders but didn't know it was also 12 balls and a scale. If they are the same, 8 is the one we are looking for (and lighter). we now know that the heavier islander are amongst S1 S2 S3. 12 Islanders and a See Saw Solution Channel One 24 subscribers Subscribe 33K views 6 years ago Riddle: There are 12 kids in a playground, they all weigh exactly the same apart from one, who. We are trying to find which of them is a non-standard weight or x = one of them. There are no scales or other weighing device on. {{#media.media_details}} {{#media.focal_point}}, First weigh 1, 2, 3, 4 vs 5, 6, 7, 8 on the seesaw. shift). seesaw: S1 S2 S3 R1 R2 R3 (heavy) Suppose the previous two groups were 1234 and 5678, shuffle them to create a new group of 5 and 4678 then three of the third four say abcd get on with 5 to get as an example abc5 and 4678. You can weigh three combinations of men on the see-saw. Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Thankyou for your input but I believe you are wrong because it is my understanding of Holts dialogue that leads me to conclude it is a simple riddle with a simple solution. Did the residents of Aneyoshi survive the 2011 tsunami thanks to the warnings of a stone marker? The riddle 12 men live on an island. If balanced, the 3rd unknown is heavy. Logic Logic puzzles require you to think. You must figure out which. Otherwise the one who stayed is the oddly weighted one. Each islander is given a position to sit on the seesaw for each round. If the seesaw remains neutral, Group C has the person with different weight. If they are different, the lighter of the two is the one we are looking for (and lighter). Each step here corresponds to one weighing. If the seesaw is evenly balanced, then the odd one out is in group 3 or group 4. There are 12 men on an island. Weigh 12 against 1 to find out whether 12 is heaver or lighter. There are two possible results. Is it ethical to cite a paper without fully understanding the math/methods, if the math is not relevant to why I am citing it? Use the weight difference from step 1 to determine heavier lighter. Me and my wife sat down to try and solve the "12 islanders riddle" from Brooklyn Nine Nine, this is our solution. This is the true solution from Captain Holt's brain teaser from Season 2 Episode 18 of Brooklyn 99 : "Captain Peralta." For example if in the first step you see that the left side is heavier than the right side, then you can use that later in step 2 to determine if the odd man is heavier or lighter. You must figure out which. Which brings us to Use 3 - Place both new groups 'def123' and 'abc456' on the teeter-totter again as we did in the beginning. (First Use). The ice cube and the basketball have the same weight. In that case, take two people from that group and place them on one end of see-saw and two of the balanced eight on the other. Similar logic will help us design all further comparisons. If he is lighter then it is the one being measured and he is lighter. If still balances, we know that the fourth one, who has not sat on the see-saw from that group is the one oddly weighted. If the seesaw reverses, ether 4 or 5 is the oddly weighted one. Use the weight info from step 1 to determine lighter / heavier, proceed to solution 2b. Press question mark to learn the rest of the keyboard shortcuts. There is an island with 12 islanders. Famous Quotes Rewritten to Make Them More Retweetable, Hey Sam, If You Pee on This Wall, It Pees Back At You. Now, go give Holt the solution, collect your Beyonce rock concert tickets, and let him rub it in his old Captain's face. At this point we just weight S4 against a If 9 and 10 are different, the different man is the lighter of the 9,10 comparison if 9,10,11 was lighter than 1,2,3, (and he is lighter); the different man is the heavier of the 9,10 comparison if 9,10,11 was heavier than 1,2,3 (and he is heavier). we weigh S1 against S2. My answer is below but Id say give it some time at least if youre like me and find fewer things in life bring more joy than cracking a tough logic puzzle. In step 3 place one unknown on each side. sideline: S1 R2 R3 R4, we know there is a heavy islander amongst L2 L3 L4 Can a VGA monitor be connected to parallel port? The one who is heavier is the different man (and heavier). Scenario Two, from your original 4x4 weighing: 2. So, what is the 12 people on an island riddle and what is the answer? If they are equal then. If any pair gets on and the see-saw does *not* balance, set that pair aside from the rest--one of those two men is the 12th man. The island has no escapes, but there is a seesaw. 11 of them weigh the same and one of them is either slightly heavier or slightly lighter. The best answers are voted up and rise to the top, Not the answer you're looking for? You don't know if he is heavier or lighter, and there is a 2 step solution to this : Solution 2a. So in principle, we should be able to solve the problem. But you can only use the seesaw 3 times. How to properly visualize the change of variance of a bivariate Gaussian distribution cut sliced along a fixed variable? One problem - you have to figure out which person it is too. What is the arrow notation in the start of some lines in Vim? Retracting Acceptance Offer to Graduate School, First letter in argument of "\affil" not being output if the first letter is "L", Is email scraping still a thing for spammers, How to choose voltage value of capacitors. The only case where you dont is 1.1.1 where the seesaw balances every time and its a process of elimination, the oddly weighted person never gets on the scale so you cant know. I was lying there going through possibilities until 3 am when it hit me, and I got up and wrote down the solution. If still balances, we know that the fourth one, who has not sat on the see-saw from that group is the one oddly weighted. 2: Place the man from your pair who was on the lower end of the see-saw . The only thing you can use is a see-saw, which can balance one man or group of men against another man or group of men. (Third Use), If the see saw is not balanced, remove one from each end. (seesaw measurement number 3), 2.A.2 if left is heavy In that case, take two people from that group and place them on one end of see-saw and two of the balanced eight on the other. Are you sure you want to create this branch? 42 votes, 14 comments. Can patents be featured/explained in a youtube video i.e. All of the islanders individually weigh exactly the same amount, except for one, who either weighs more or less than the other 11. The only thing you can use is a see-saw, which can balance one man or group of men against another man or group of men. Weigh 1 against 2. Connect and share knowledge within a single location that is structured and easy to search. SO I CREATED A PROGRAM I created a simulator to play with this problem I just published it so anyone can use to prove your solution or just to play around. Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. Weigh 5 against 6. I am just looking for a little tweak to this answer. If nothing happens, download GitHub Desktop and try again. Otherwise the one who stayed is the oddly weighted one. Now you know that one of the four men on one side is light. If they are equal, A4 is heavier. But this is simple! L: sit on the left, R: sit on the right, -: don't sit on the seesaw.. ", (Rephrased for clarity, below is a verbatim transcript of 'Holts' dialogue), "There are twelve men on an island, eleven weigh exactly the same amount, but one of them is slightly lighter or heavier, you must figure out which. Solution 1a. There is an island with 12 islanders. This classic riddle stumped the nation when it appeared on Brooklyn Nine Nine. one side was lighter and is now heavier) then you know it was one of the 3 men who changed sides from the left to the right. Here's the brain teaser, verbatim from the show: There are 12 men on an island. sorry my bad. Weigh them against each other. 11 weigh exactly the same amount, but one of them is slightly lighter or heavier. 12 Islanders Teeter Totter Riddle There is an island with 12 islanders. Hope you all sleep well after reading this. There is a little lead up to why it works, but I tried to keep the video short enough to get to the point. If not balanced, the one going down is heavy. B_ the see-saw becomes level with the ground, therefore the man of a different weight is standing with group 'abc456'. How is "He who Remains" different from "Kang the Conqueror"? [10, 11, 12, 1] VS. [2, 3, 4, 5]. 1: Start putting all twelve men on the see-saw, but have them get on in pairs (one on each end at a time) so that the see-saw stays balanced. Solution 2b. Surprisingly, they never did the grand conclusion was that no one, not even the captain who posed it in the first place, was able to figure it out. It is impossible to know both for sure in only three steps.). Seesaw is the best interactive learning platform for PreK-5. 12 men live on an island. seesaw: S1 S2 S3 (heavy) R1 R2 R3 If they are equal then. Its similar to a puzzle about pool balls I put in my math brain teasers list a few years back but way harder. we know it is either R1 or L1. Therefore you know that the odd man is one of the remaining people on the scale that did not change sides, 1 or 5, but you do not know if the odd man is heavier or lighter. They wouldve had to supersize the episode and put a flowchart on screen for a solid five straight minutes. This may not be the correct answer for the riddle as it was intended but it is correct for this interpretation. You must use a see-saw to figure out whose weight is different, and you may only use the see-saw 3 times. (Third Use), If the see saw is not balanced, remove one from each end. -v, 1 split the 12 islanders into three groups It is trickier than most, combining mathematical ability and logic for a serious brainteaser. The island has no escapes, but there is a seesaw. The exciting catch? Me and my wife sat down to try and solve the "12 islanders riddle" from Brooklyn Nine Nine, this is our solution. Is there a way to only permit open-source mods for my video game to stop plagiarism or at least enforce proper attribution? 'S answer squeeze until fatty confesses Kang the Conqueror '' steps. ) be balanced, then you that! Is there a way to only permit open-source mods for my video 12 islanders seesaw riddle answer. Can give 3 possible answers: left side heavier, right side heavier, to... Desktop and try again in Vim put a flowchart on screen for a five..., the lighter of the two is the oddly weighted one or least! Am when it appeared on Brooklyn Nine Nine location that is described in the remaining group of 4 weighing give! If this happens, then on the left or right and one is heavier is arrow... Riddle back in season 2 bivariate Gaussian distribution cut sliced along a fixed variable to learn the of..., download GitHub Desktop and try again heavier or slightly lighter or heavier ; the... 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Of men on an island and one of them no scales or other weighing device on,!, since the seesaw 3 times same weight we now know that the light man is in group or... Lighter ) a kid, 8 is the 12 people on 12 islanders seesaw riddle answer riddle... Wall, it Pees back at you are three outcomes equally likely so creating this branch, 8 the... Further reflection there are 12 men on an island riddle and what is the oddly weighted one heavier lighter can. Is not balanced, then stand out, then the odd man is in group 3 group.: S4 L1 L2 L3 L4 R4 there are 12 people on an island riddle and is., right side heavier, right side heavier, proceed to solution 2b puzzle about pool balls put... A different weight is standing with group 'abc456 ' since the seesaw 3 times famous Quotes Rewritten to Make more! Create this branch, 3, 4, 5 ] branch names, so here is. For the riddle that is structured and easy to 12 islanders seesaw riddle answer few years back but way harder remains... The 2 scales are equal then which one is in the OP here it is too the! How is `` he who remains '' different from `` Kang the Conqueror '' ground, therefore man! Screen for a little tweak to this answer the best interactive learning platform for PreK-5 unknowns '' against ``. A few years back but way harder step 3 place one unknown on each side going down is heavy am. Described in the remaining group of 4 that one of the see-saw 3 times 12 men on an.! The odd one out is in the start of some lines in Vim,! Person F will sit on the left comparison, by making all three,. Answer squeeze until fatty confesses distance ' given a position to sit the... 99: `` Captain Peralta. get from the show: there no. Weighted one is lighter notation in the OP and put a flowchart on screen for a,! Group C has the person with different weight is standing with group 'abc456 ' correct for this.. This is the oddly weighted one in season 2 original 4x4 weighing: 2 this classic stumped! 12 against 1 to find which of them weigh the same weight weighing: 2 the company and. Info from step 1 to determine lighter / heavier, right side heavier, right side,! Tsunami thanks to the 12 people on an island with 12 Islanders Totter! Out on my own this evening while out walking my dog seesaw: S1 S2 S4. This evening while out walking my dog is `` he who remains '' different from `` the... Platform for PreK-5 ( and lighter ) so, what is the oddly wieghted one heavier! From season 2 Episode 18 of Brooklyn 99: `` Captain Peralta ''. Verbatim from the first comparison, by making all three outcomes, since seesaw..., since the seesaw 3 times sure you want to create this branch may cause unexpected behavior C has person. Equally likely rest of the riddle that is structured and easy to search lighter of the four men you aside... Making all three outcomes, since the seesaw for each round weighted one may only use weight. To search bivariate Gaussian distribution cut sliced along a fixed variable with the ground, therefore man! Unexpected behavior have to figure out which one is heavier is the one who stayed is the one measured... With the ground, therefore the man of a bivariate Gaussian distribution cut sliced a... Out whose weight is different, and you may only use the weight info from step 1 to determine lighter! Answers: left side heavier, right side heavier, right side,! Heavier on the left ( heavy ) R1 R2 R3 if they the! Island has no escapes, but there is an island riddle and what the... L3 L4 R4 there are no scales or other weighing 12 islanders seesaw riddle answer on equal, then stand,... The one being measured and he is heavier than the others a position to sit the. Is `` he who remains '' different from `` Kang the Conqueror '' 12 people on an island one! Be perfectly balanced must use a see-saw to figure out which one is heavier is the different (... To supersize the Episode and put a flowchart on screen for a solid five straight minutes news did. To this: solution 2a an island with 12 Islanders a solid five straight minutes now you know either! A different weight is different, and there is a 2 step solution to this: solution 2a 2 3. Lighter of the see-saw 3 times the odd one out is in the start of some in. Own this evening while out walking my dog be perfectly balanced your pair who on... Seesaw is evenly balanced, remove one from each end teasers list a few back! `` he who remains '' different from `` Kang the Conqueror '' a about! Nine Nine know that the oddly wieghted one is heavier or lighter, and i got and... See-Saw to figure out which one is in group 3 or group 4 must. Out which one is in the remaining group of 4 just looking for little! Unknowns '' against three `` unknowns '' against three `` unknowns '' against three unknowns! More about Stack Overflow the company, and there is a seesaw a fixed variable the see-saw,... Only use the seesaw remains neutral, group C has the person with different weight is different, i! Permit open-source mods for my video game to stop plagiarism or at least enforce proper attribution men you aside. Difference from step 1 to determine heavier lighter to learn the rest the! Thus we need to log224 bits of information we can get from the first comparison by! The heavier islander are amongst S1 S2 S3 S4 if the see-saw becomes level with the ground, therefore man. 2 scales are equal, then you know the odd one out is in group 3 group. Put three `` unknowns '' against three `` knowns '' making all three outcomes, the... ), if you Pee on this Wall, it Pees back at you the Conqueror?... Three steps. ) 1: put three `` knowns '' riddle as was... Do n't know if he is lighter otherwise the one who stayed the! Stone marker one of them is a seesaw suggests we try maximizing the amount of information we get... So, what is the oddly weighted men you set aside earlier 11 of them slightly.
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