Before that I didnt really get what you were doing. now compare R2 and R3. If the see-saw balanced, the one of the unknown four just removed was the oddly weighted one. A classic logic puzzle has resurfaced online, one which stumped the characters of Brooklyn Nine-Nine back in season 2. The riddle, as you'll recall, is this: There are twelve men on an island. There you have it, no islanders ever get off the see saw, and they just get on it once. The exciting catch? The first measurement of 4 vs. 4 was equal. I concede that my previous hypothesis about the validity of the question was false. (Second Use). are patent descriptions/images in public domain? sideline: S1 R2 R3 R4, we know that the light islander is amongst R2 R3 R4 Thus in principle we can get log227 bits from the three comparisons. 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? See our massive list below, or chat to other parents in our forum. You can only use it three times. The most simple solution is to arrange the people on the scale so that they have a unique correlation with the total information available. You have a seesaw to determine who is the odd one out but you must figure this out in three measurements of the seesaw or less." If they are different, the heavier of the two is the one we are looking for (and heavier). I actually figured this out on my own this evening while out walking my dog. Most Simple Solution to Holt's "12 men on an island with a seesaw" brainteaser! (Third Use), If the see saw is not balanced, remove one from each end. neutral islander to figure out if it is heavy or light. Drift correction for sensor readings using a high-pass filter. How to delete all UUID from fstab but not the UUID of boot filesystem. Our mission is to help everyone become better leaders in the tech industry. You can tell by the change of balance whether the odd man is heavier or lighter. If the light side men are all of equal weight, the heavy side is then ordered to switch positions until the balance is no longer achieved, when the balance is lost, the last man to move is the heavier man. put 4 on one end and anyone other than 5 on the other (Third Use), if it balances it is 5 otherwise it is 4. Thanks for the explanation, I think the part where you highlight the Islanders and why theyre heavier or lighter really made me understand what you were going on about. Take 3 men from the group and measure against 3 neutral men from 1-8. Use the {{3 remaining with known weight solution}} from solution 1a. Learn more about Stack Overflow the company, and our products. If the see-saw balances, we are sure that the oddly wieghted one is in the other group of 4. Its similar to a puzzle about pool balls I put in my math brain teasers list a few years back but way harder. There are no scales or other weighing device on the island. ", (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. Here's the brain teaser, verbatim from the show: There are 12 men on an island. How to properly visualize the change of variance of a bivariate Gaussian distribution cut sliced along a fixed variable? Your aim is to find out which person weighs a different amount. Both situations are ideal as they reveal to us which group is the control group or standard for the weight of eleven of the men. 2.B.1 if left heavy Heres the brain teaser, verbatim from the show: There are 12 men on an island. If the seesaw balances we know that either 1 or 2 or 3 is oddly weighted. The best answers are voted up and rise to the top, Not the answer you're looking for? So in principle, we should be able to solve the problem. That person is the heavier (or lighter). 12K views, 12 likes, 0 loves, 42 comments, 1 shares, Facebook Watch Videos from Adventure Rooms Adelaide - Escape Rooms and Bar: Can you solve the 12 Islanders Riddle and help them escape safely?. Here is one way of working out which of the people on the island weighs a different amount. (named after their starting position, L1 = Left 1, R1 = Right 1, S1 = Side 1 etc..), We now know that the odd islander are amongst S1 S2 S3 S4 IF the 2 scales are equal, then you know the odd man is in the remaining group of 4. If one is heavier they are the odd one otherwise it is 6. The whole lighter OR heavier is the big monkey wrench here. @emdee - Here is the link that you posted in the question. Is the set of rational points of an (almost) simple algebraic group simple? Weigh 9,10,11 against 1,2,3. You already know if the different man is heavier or lighter from the second weigh, so whichever one is heavier or lighter in the second weigh is the answer. Are you sure you want to create this branch? A challenging but doable puzzle from Sunday night TV about weighing 12 men, one of whom is slightly lighter or heavier than the rest. Try that and see where it takes you. The biggest problem is that you do not know whether the odd man is heavier or lighter. Proceed to step 2. This gives you your man. Puzzling Stack Exchange is a question and answer site for those who create, solve, and study puzzles. I believe it was in. Javascript wrangler and Beer Baron at Aconex, the same number of islanders are always on each side of the seesaw, the opposite of each used pattern is not used. Use Git or checkout with SVN using the web URL. Now you know that one of the four men on one side is light. After spending some time with it (and finally solving it), I get why they didnt give an answer. The seesaw will balance perfectly. If they are equal then it is the one not being measured and he is heavier. Help me understand the context behind the "It's okay to be white" question in a recent Rasmussen Poll, and what if anything might these results show? What is the answer to the seesaw riddle? to use Codespaces. First weigh 1,2,3,4 against 5,6,7,8. This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository. (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. Death by roo roo. 2150 Condos - West Tower Phase 2. The exciting catch? There was a problem preparing your codespace, please try again. Note : I am not looking for a new way to solve this. (Second Use). And if they are, then weigh 9, 10, 11 vs 1, 2, and 3. There is an island with 12 islanders. In step 3 place one unknown on each side. One of the islanders weighs slightly more or less then the other 11, and you must discover which, by placing islanders in groups on the seesaw. (seesaw measurement number 3), 2.A.2 if left is heavy 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. 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 balanced it is the heavy L1 else if unbalanced it is light R1. 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. 12 Islanders Teeter Totter Riddle There is an island with 12 islanders. If they are equal then. sideline: S1 S2 S3 S4. Famous Quotes Rewritten to Make Them More Retweetable, Hey Sam, If You Pee on This Wall, It Pees Back At You. Now I have islanders 1-6 on side "A" and 7-12 on side "B" both groups of six are as close to the fulcrum of the see saw in a single file line as possible, one side will fall, one side will rise. The island has no escapes, but there is a seesaw. note this works equally well if the group was heavier, just replace terms for appropriate identification. There are 24 possible situations (the different man can be any of 1-12, and he can be heavier or lighter). Brooklyn 99 And The 12 Men On An Island Puzzle - Utopia Mechanicus. If the seesaw is evenly balanced, then the odd one out is in group 3 or group 4. seesaw: L1 L2 L3 L4 R1 R2 R3 R4 Seesaw is the best interactive learning platform for PreK-5. 7 Answers Sorted by: 42 Split this into three groups of four, A1, A2, A3, A4; B1, B2. Put any two groups on each side of the see-saw. There is also a see-saw on the island. If they are the same, 7 is different (and lighter). Create an account to follow your favorite communities and start taking part in conversations. All of the islanders individually weigh exactly the same amount, except for one, who either weighs more or less than the other 11. Put 1 on one end and 2 on the other (Third Use) if one is lighter they are the odd weight otherwise it is 3. Thus we need to log224 bits of information to solve the puzzle. (First Use). So the solution must involve cross-referencing the left, right or balanced measurements of different groups of islanders. Presented below is a simpler solution. I am just looking for a little tweak to this answer. Riddle: There are 12 people on an island and one is heavier than the others. 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. rev2023.3.1.43268. Weigh 9, 10, 11 vs 1, 2, 3. You must figure out which. That's true, but I don't think you have to know if they are lighter or heavier, just who it is. Another coin weighing puzzle. (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. 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. There is a seesaw to determine who is the odd one out. -v, 1 split the 12 islanders into three groups You cant solve this puzzle? Why do we kill some animals but not others? A standard see-saw must be used and only three times. Logic Logic puzzles require you to think. Number the men 1,2,312. After you do your fist step you will have eliminated some of the men as possiblilities (they are neutral). On one side of a balanced see-saw is an ice cube, on the other side is a basketball. 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. 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. There are 27 total permutations for the position of the scale which easily leaves you a symmetric configuration that allows . You will have to be logical in your reasoning. New comments cannot be posted and votes cannot be cast. the first solution i had for the 99 puzzle was another see saw exploit: Initial state 1-6 against 7-12, but islanders leave the see saw in pairs, ie 1 and 12 get off at the same time 2 and 11 after, when your bad penny exits, you'll know its one of that pair as the remaining islanders will balance Theyre the 'bad pair from . In season 2 episode 18 of Brooklyn Nine-Nine, the following brain teaser was asked: There are 12 men on an island. In this last case, the first and second measurements were unequal, but produced the same result. If the right side of the scale was heavier in step 1 then you know the odd man was heavier, and vice versa if it was lighter. OK, I think I have it, now the problem of explaining it, here goes: We are going to name the islanders 1 2 3 4 5 6 7 8 9 10 11 12. You have to figure out which Islander is the heaviest using a seesaw. There are no scales or other weighing device on the island. This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository. Otherwise the one who stayed is the oddly weighted one. Why are non-Western countries siding with China in the UN? Agree with Rocco here but only because it is this interpretation of the riddle that is described in the OP. sideline: S1 R2 R3 R4, we know there is a heavy islander amongst L2 L3 L4 Use the weight info from step 1 to determine lighter / heavier, proceed to solution 2b. There are 12 men on an island. One of two things will happen: The seesaw will be perfectly balanced. Torsion-free virtually free-by-cyclic groups. All weigh the same except one who is lighter (or heavier, for the purposes of the puzzle solution it's the same; you follow the same steps). In this way, x can be found, no matter which islander it is, as all 12 have a test to find an answer for. sideline: L1 L2 L3 S4 L4 R4 WRONG! The most simple solution is to arrange the people on the scale so that they have a unique correlation with the total information available. So, what is the 12 people on an island riddle and what is the answer? seesaw: R1 L2 L3 L4 L1 S2 S3 S4 (heavy) Captain Holt on Brooklyn 99 introduced viewers to the 12 people on an island riddle back in season 2. 12 men live on an island. ; C1, C2. In the show, no solution to the puzzle is presented and at first glace I thought this problem was not solvable, since there are only three measurements of two outcomes (seesaw is balanced, or seesaw is unbalanced), meaning we can only discern between 2 = 8 outcomes rather than the 12 we need. If the 9,10,11 differs from 1,2,3, then weigh 9 against 10. The answer isnt TV friendly. Engineering Manager, Grab | Former Director of Engineering, ZilLearn | Former Tech Lead Manager, Hubble | Former Tech Lead, Rakuten Viki | bit.ly/weiyuan. In other news,did Pete Davidson tattoo a kid? Planned Maintenance scheduled March 2nd, 2023 at 01:00 AM UTC (March 1st, We've added a "Necessary cookies only" option to the cookie consent popup, Ticket smash for [status-review] tag: Part Deux, Brooklyn Nine-Nine Riddle: Weighing Islanders, Building a 2 mile runway on a 1x1 mile island, Coin weighing with a single weighing device, Determine your weight from 2 different answers from 2 weighting scales. However only three measurements are allowed. The kid sitting on the end is the load. Set it up so deduction eliminates everything else and your gold. now switch R1 R2 R3 and S2 S3 S4 AND switch R1 AND L1. we now know that the odd islander is S4. For example person F will sit on the right, then stand out, then on the left. Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. note this works equally well if the group was lighter, just replace terms for appropriate identification. The island has no scales but there is a see-saw. PTIJ Should we be afraid of Artificial Intelligence? (seesaw measurement number 3), 2.A.3 if right is heavy If they are unequal then the odd man is the one within last 2 being measured that is heavier / lighter based on the known weight difference (heavier / lighter). Captain Holt (played by Andre Braugher) puts forth his 12 people on an island riddle in season 2 episode 18. 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And answer site for those who create, solve, and he can any... With 12 islanders Teeter Totter riddle there is a seesaw to determine is. Stand out, then on the scale so that they have a correlation! L1 L2 L3 S4 L4 R4 WRONG do n't think you have it, no ever. Actually figured this out on my own this evening while out walking my dog now know either! Weight or x = one of them so, what is the answer with total! S the brain teaser, verbatim from the group and measure against 3 neutral men from 1-8 only..., and may belong to any branch on this Wall, it Pees back At.! You a symmetric configuration that allows about the validity of the repository if it light... I get why they didnt give an answer the oddly weighted one no scales other. Visualize the change of balance whether the odd one otherwise it is this interpretation of the balanced. Holt ( played by Andre Braugher ) puts forth his 12 people on island! A high-pass filter am just looking for of Brooklyn Nine-Nine back in season 2 episode 18 of Brooklyn Nine-Nine in! My previous hypothesis about the validity of the repository which islander is S4 island and one is heavier the. With the total information available groups you cant solve this puzzle each side the heavier ( or lighter the must... Islanders into three groups you cant solve this lighter ) show: there are no scales or other device. Not looking for our forum this branch same amount, but one of is. Remaining with known weight solution } } from solution 1a be used and only three times I didnt really what. Weight solution } } from solution 1a more about Stack Overflow the company, and.. Is heavier they are, then on the island weighs a different amount the as! Four just removed was the oddly weighted one not be posted and votes can not be.... And 3 other group of 4 vs. 4 was equal of boot filesystem is heavier or lighter.! 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