seesaw: S1 S2 S3 (heavy) R1 R2 R3 There is an island with 12 islanders. There are no scales or other weighing device on. Make 3 groups of 4 people each Group A: 1,2,3,4 Group B: 5,6,7,8 Group C: 9,10,11,12 Round #1: Use the seesaw with Group A and B. Bottom line? This may not be the correct answer for the riddle as it was intended but it is correct for this interpretation. Proceed to solution 1a. Set it up so deduction eliminates everything else and your gold. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. 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. -v, 1 split the 12 islanders into three groups They wouldve had to supersize the episode and put a flowchart on screen for a solid five straight minutes. The island has no escapes, but there is a seesaw. A classic logic puzzle has resurfaced online, one which stumped the characters of Brooklyn Nine-Nine back in season 2. shift). 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. 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. 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. And there's another twist: you're only allowed to use the see-saw three times. we know it is either R1 or L1. If the seesaw is evenly balanced, then the odd one out is in group 3 or group 4. The riddle: There are 12 islanders on an island. Agree with Rocco here but only because it is this interpretation of the riddle that is described in the OP. Puzzling Stack Exchange is a question and answer site for those who create, solve, and study puzzles. IF the 2 scales are equal, then you know the odd man is in the remaining group of 4. Eleven weigh exactly the same amount, but one of them is slightly lighter or heavier. :p, haha yeah loved the episode! The most people you can eliminate in the first step is 4, by dividing the 12 men into 3 groups of 4. Would the reflected sun's radiation melt ice in LEO? (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 we now know that the heavier islander are amongst S1 S2 S3. You can shift some of them onto the see saw with the other men and bump some off (aka. Each weighing can give 3 possible answers: left side heavier, right side heavier, or both sides equal. Captain Holt on Brooklyn 99 introduced viewers to the 12 people on an island riddle back in season 2. It is impossible to know both for sure in only three steps.). I like this answer other than the fact that if "Condition 2.1.2" happens, then we won't be able to tell if the person who has a different weight is lighter or heavier than the others. we weigh S1 against S2. This one comes from this week's Brooklyn Nine-Nine episode! The seesaw will balance perfectly. You must use a see-saw to figure out whose weight is different, and you may only use the see-saw 3 times. Brooklyn 99 Riddle Seesaw - Askworksheet How do you figure out which one is heavier? This is the true solution from Captain Holt's brain teaser from Season 2 Episode 18 of Brooklyn 99 : "Captain Peralta." 2150 Condos - West Tower Phase 2 The most simple solution is to arrange the people on the scale so that they have a unique correlation with the total information available. What is the answer to the seesaw riddle? Each step here corresponds to one weighing. i thought that at the end scully would come up with the answer and make rosa/gina regret rejecting his help. Ackermann Function without Recursion or Stack. What are the consequences of overstaying in the Schengen area by 2 hours? Learn more. You cannot determine lighter, heavier, proceed to solution 2c. 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.notethis works equally well if the group was heavier, just replace terms for appropriate identification.'. A standard see-saw must be used and only three times. III) 1 2 3 4 < 5 6 7 8 do the same process as II with appropriate adjustments being made. note this works equally well if the group was heavier, just replace terms for appropriate identification. Use the third and final seesaw use to determine if the 12th person is the heavier or lighter islander (i.e. Take 3 men from the group and measure against 3 neutral men from 1-8. sideline: L1 L2 L3 S4 L4 R4, we now know that the lighter islander are amongst S1 S2 S3. If the seesaw remains neutral, Group C has the person with different weight. Otherwise the one who stayed is the oddly weighted one. Weigh 12 against 1 to find out whether 12 is heaver or lighter. Say as example 1234 were lighter. IF the scales are still unequal but remain the same, then you know it was 1 of the 2 men who did not change sides, number 1 or 5. 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. 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. IF the 2 scales are unequal, then you know the odd man is in the set of 1-8. {{3 remaining with known weight solution}} Since the weight is known, all you need to do is measure 2 men from the remaining 3 against each other. seesaw: R1 L2 L3 L4 L1 S2 S3 S4 (heavy) There are 12 men on an island. All of these men weigh exactly Is it possible to measure 1 kilogram of sugar? 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. 12 men live on an island. Another coin weighing puzzle. In this way, x can be found, no matter which islander it is, as all 12 have a test to find an answer for. Brooklyn Nine-Nine Riddle: Weighing Islanders [duplicate], Brooklyn 99 riddle: Weighing Islanders [duplicate], puzzling.stackexchange.com/questions/9979/, puzzling.stackexchange.com/questions/183/. All of the islanders individually weigh exactly the same amount, except for one, who either weighs more or less than the other 11. Use 2 - Remove six(6) men from the see-saw, three(3) from both groups. Did the residents of Aneyoshi survive the 2011 tsunami thanks to the warnings of a stone marker? If they are the same, the different man is 11, and he is heavier if 9,10,11 was heavier than 1,2,3 and he is lighter if 9,10,11 was lighter than 1,2,3. Put any two groups on each side of the see-saw. The best educational websites for children, Find out what's on each week with our jam-packed email, I have read and understood Netmums' Privacy Notice and Terms & Conditions, https://nmg.netmums.com/header/activities/, https://www.netmums.com/esi/video/false/position:ATF, https://www.netmums.com/esi/mostactivechat/website/article. Answer explained - step by step Number the islanders 1 to 12 First weigh 1, 2, 3, 4 vs 5, 6, 7, 8 on the seesaw. I had seen this question posted before but noticed it had been asked incorrectly, as was the question it was similar to that it linked too about the 12 balls and a scale (see links below). Can patents be featured/explained in a youtube video i.e. The seesaw will NOT be perfectly balanced. If A > B, then weigh A1, B1, and B2 against B3, B4, and C1. neutral islander to figure out if it is heavy or light. At this point we just weight S4 against a 11 of them weigh the same and one of them is either slightly How is "He who Remains" different from "Kang the Conqueror"? If the see-saw balances, we are sure that the oddly wieghted one is in the other group of 4. In season 2 episode 18 of Brooklyn Nine-Nine, the following brain teaser was asked: There are 12 men on an island. 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. Software Engineer Author has 67 answers and 176.2K answer views 3 y Number each of the 12 people from 1 through 12. In either scenario, the steps are basically the same. It is impossible to know both for sure in only three steps." Has the term "coup" been used for changes in the legal system made by the parliament? How do you figure out which one is heavier? You can tell by the change of balance whether the odd man is heavier or lighter. Number the men from 1 to 12. The first measurement of 4 vs. 4 was equal. The seesaw itself is a lever. After each round, we can see if the seesaw tilted down on the left (L), right (R) or was balanced (-), The pattern of the seesaw will match the pattern of one person ( or be exactly reversed ). Weigh A against B. Find out the minimum number of times the seesaw will be used. Thanks, AeJey for making it so clear! You must use a see-saw to figure out whose weight is different, and you may only use the see-saw 3 times. There is also a see-saw on the island. if balanced it is R4 - else it is the lighter of R3 and R2 In step 3 place one unknown on each side. Create an account to follow your favorite communities and start taking part in conversations. 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. ; C1, C2. You will have to be logical in your reasoning. Each islander is given a position to sit on the seesaw for each round. The second measurement was unequal, but the balance of weight shifted. Problem solved. Now put 7 on one end and 8 on the other. 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. One of two things will happen: The seesaw will be perfectly balanced. You signed in with another tab or window. There is also a see-saw on the island. If you found that the second group weigh was unequal, then weigh 9 vs 10. The whole lighter OR heavier is the big monkey wrench here. Proceed to step 2. Start off by weighing 4 against 4, setting the other 4 aside completely. 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? [10, 11, 12, 1] VS. [2, 3, 4, 5]. There are 2 possible outcomes, either they are equal, or unequal. You still have 1 remaining move and you now know if the odd man is heavier or lighter. Note that this implies that the first comparison must yield more than 1 bit of information. The one who is heavier is the different man (and heavier). A_ the equilibrium of the see-saw remains unchanged, therefore the man of a different weight is now amongst group 'def123' or Similar logic will help us design all further comparisons. run a simulation: go run . sideline: S1 R2 R3 R4, we know that the light islander is amongst R2 R3 R4 For example person F will sit on the right, then stand out, then on the left. If the weights are equal, then one of A2.4 is heavier; weigh A2 and A3. There is an island with 12 islanders. I concede that my previous hypothesis about the validity of the question was false. This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository. Without loss of generality suppose that 1,2,3,4 is heavier than 5,6,7,8. 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. (First Use). sideline: S1 S2 S3 S4. 1 v 12). The biggest problem is that you do not know whether the odd man is heavier or lighter. If the seesaw balances we know that either 1 or 2 or 3 is oddly weighted. Solution 2b. What are some tools or methods I can purchase to trace a water leak? 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. If they are equal then. sideline: S1 S2 S3 S4 It only takes a minute to sign up. How can you find out which islander is the one that has a different weight? 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? Questions: 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. sideline: S1 R2 R3 R4, we know there is a heavy islander amongst L2 L3 L4 Paying attention to whether the control group rises or falls is how we determine whether the twelfth(12th) man is lighter or heavier than the rest. 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. The island has no scales but there is a see-saw. I actually figured this out on my own this evening while out walking my dog. New post because the last one got too old. Use 1 - Place both groups on opposing sides of the fulcrum, evenly spaced along the lever. 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. There are two possible results. You can figure out both in three steps. This way of wording will help make it easier to figure out the puzzle. we now know that the odd islander is S4. There are 12 men on an island. We are trying to find which of them is a non-standard weight or x = one of them. (seesaw measurement number 3), 2.B.2 if balanced WRONG! Heres the brain teaser, verbatim from the show: There are 12 men on an island. 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. Its similar to a puzzle about pool balls I put in my math brain teasers list a few years back but way harder. You don't know heavier or lighter, but you still have 1 remaining move. Weigh 1 against 2. Which brings us to Use 3 - Place both new groups 'def123' and 'abc456' on the teeter-totter again as we did in the beginning. There is a seesaw to determine who is the odd one out. I gave each of the 12 men a letter, A-L. Can You Solve the Brain Teaser of the 12 Men and a See-Saw? Me and my wife sat down to try and solve the "12 islanders riddle" from Brooklyn Nine Nine, this is our solution. The island has no escapes, but there is a see-saw. The exciting catch? 11 weigh exactly the same, but one of them is slightly lighter or heavier. 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. Weigh 5 against 6. 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. That has a different weight 12 against 1 to find which of them onto the see saw with the 4! Equally well if the 2 scales are equal, then the odd man is in the set of.!, 12, 1 ] vs. [ 2, 3, 4 5. Other group of 4 that you do not know whether the odd one out is in the remaining of. Or group 4 one comes from this week 's Brooklyn Nine-Nine riddle: there are 12 men a,... 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