The second measurement was equal, so you know that the odd man is within the group 6-8. If balanced, the 3rd unknown is heavy. If they are the same, 8 is the one we are looking for (and lighter). There are two possible results. You can only use it three times.. The seesaw itself is a lever. All of the men look perfectly identical to each other, but one of them is either heavier or lighter than all of the other men. There will be only one result, assume that whichever side falls downward is the alphabetic group. There are 2 possible outcomes, either they are equal, or unequal. sideline: S1 S2 S3 S4 You can tell by the change of balance whether the odd man is heavier or lighter. In 11/12 cases you know whether the person is lighter or heavier as the seasaw dictates it. Are you sure you want to create this branch? Have something to tell us about this article? Why do we kill some animals but not others? Try that and see where it takes you. There are 12 men on an island. Thankyou for reading and understanding. Proceed to step 2. It is impossible to know both for sure in only three steps.). If A > B, then weigh A1, B1, and B2 against B3, B4, and C1. Take note of whether it is heavier or lighter. 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. 12 Islanders Riddle Puzzle from Brooklyn 99. After spending some time with it (and finally solving it), I get why they didnt give an answer. seesaw: L1 L2 L3 L4 R1 R2 R3 R4 (balanced) Weigh A against B. The following steps become identical to those in Scenario 1., above. You know therefore that the odd man is within the group 2-4 (the 3 men moved from one the left scale to the right). The pattern for all islanders is below: person: A B C . You must figure out which. 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. If they are the same, 7 is different (and lighter). So in principle, we should be able to solve the problem. I am just looking for a little tweak to this answer. (seesaw measurement number 3). That person is the heavier (or lighter). Proceed to solution 2a. 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. Another coin weighing puzzle. 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). 1 v 12). Thus in principle we can get log 2 27 bits from the three comparisons. How is "He who Remains" different from "Kang the Conqueror"? We know {9,10,11,12} all weigh the same. sideline: S1 R2 R3 R4, we know there is a heavy islander amongst L2 L3 L4 (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. - GitHub - hellgrenj/12-islanders: Me and my wife sat down to try and s. See our massive list below, or chat to other parents in our forum. But this is simple! Are there basic weighing puzzles requiring adaptive strategies? sideline: S1 R2 R3 R4. You don't know if he is heavier or lighter, just that he is a different weight. Here is a more precise retelling of the riddle we found. Please This classic riddle stumped the nation when it appeared on Brooklyn Nine Nine. Happy problem solving. The one who is heavier is the different man (and 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. Scenario Two, from your original 4x4 weighing: 2. rev2023.3.1.43268. Learn more. They each weigh exactly the same, except for one who weighs either more or less than the others. Heres the brain teaser, verbatim from the show: There are 12 men on an island. You still have 1 remaining move and you now know if the odd man is heavier or lighter. Weigh 9, 10, 11 vs 1, 2, 3. Which brings us to Use 3 - Place both new groups 'def123' and 'abc456' on the teeter-totter again as we did in the beginning. 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. You have to figure out which Islander is the heaviest using a seesaw. There is an island with 12 islanders. Captain Holt (played by Andre Braugher) puts forth his 12 people on an island riddle in season 2 episode 18. Let's say 'abc' and '456'. Brooklyn 99 And The 12 Men On An Island Puzzle - Utopia Mechanicus. Use the {{3 remaining with known weight solution}} from solution 1a. You cannot determine lighter, heavier, proceed to solution 2c. Fun: (2.49) Difficulty: (1.28) Puzzle ID: #13528 Submitted By: cool_star. This one comes from this week's Brooklyn Nine-Nine episode! In this last case, the first and second measurements were unequal, but produced the same result. now compare R1 against a neutral islander (S1 for example). [9, 10, 11] VS. [1, 2, 3]. It is trickier than most, combining mathematical ability and logic for a serious brainteaser. Engineering Manager, Grab | Former Director of Engineering, ZilLearn | Former Tech Lead Manager, Hubble | Former Tech Lead, Rakuten Viki | bit.ly/weiyuan. Edit: Solution 2b. Can someone suggest how we can modify the answer above ? 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. IF the scale is unequal, then you know the odd man is within the group 8-11. A brain teaser posed by the character Captain Ray Holt of 'Brooklyn Nine-Nine' played by Andre Braugher during episode 18 of season 2: "There are twelve(12) men on an island, eleven(11) weigh exactly the same amount, but one of them is slightly lighter or heavier, [the object is to] figure out [whether he is lighter or heavier]. Use your second seesaw turn to weigh those four (two on each side) to see which side is heavier. seesaw: L1 L2 L3 L4 R1 R2 R3 R4 Can a VGA monitor be connected to parallel port? 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. The unique and extremely popular [citation needed] authority on pop culture since 2008. If he is lighter then it is the one being measured and he is lighter. 11 of them weigh the same and one of them is either slightly If they are equal then that must mean the 12th person is the different one. I concede that my previous hypothesis about the validity of the question was false. 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. (seesaw measurement number 3), 2.A.3 if right is heavy we weigh S1 against S2; if balanced it is S3 - else it is the heavy of S1 and S2. IF the measurement is equal then the odd man is 12. now compare L2 and L3. 2) They are different. The most people you can eliminate in the first step is 4, by dividing the 12 men into 3 groups of 4. 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. seesaw: R1 L2 L3 L4 (heavy) L1 S2 S3 S4 Learn more about Stack Overflow the company, and our products. How does a fan in a turbofan engine suck air in? It is impossible to know both for sure in only three steps." Questions: If the see-saw balanced, the one of the unknown four just removed was the oddly weighted one. Otherwise the one who stayed is the oddly weighted one. You can figure out both in three steps. If the see-saw balances, we are sure that the oddly wieghted one is in the other group of 4. ((, Please explain your claim that is was not asked properly. Three measurements in all. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. So, what is the 12 people on an island riddle and what is the answer? Solution: The minimum number of times seesaw will be needed is 3. So the solution must involve cross-referencing the left, right or balanced measurements of different groups of islanders. 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.'. 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. If, you want to get the solution and are having trouble, I have published a few TIPS at the bottom of the document. 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. 2: Place the man from your pair who was on the lower end of the see-saw . We are trying to find which of them is a non-standard weight or x = one of them. Example for condition 1: put three "unknowns" against three "knowns". The best answers are voted up and rise to the top, Not the answer you're looking for? {{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. (Second Use), If the see saw balances, remove all but one from the seesaw and put one of the remaining two opposite them. I was lying there going through possibilities until 3 am when it hit me, and I got up and wrote down the solution. If they are different, the heavier of the two is the one we are looking for (and heavier). Was Galileo expecting to see so many stars? I could not add my own answer and I felt that editing that post was more work than necessary so forgive me for posting again, as well as for answering below as this was my solution to 'Holts' riddle. Use Git or checkout with SVN using the web URL. Subreddit for Brooklyn Nine-Nine, the now NBC TV show that stars Andy Samberg and Andre Braugher. The seesaw will balance perfectly. If the 9,10,11 differs from 1,2,3, then weigh 9 against 10. Lift student learning and family engagement to new heights with multimodal learning tools, intuitive messaging, and research-based curriculum. In either scenario, the steps are basically the same. In other news,did Pete Davidson tattoo a kid? You have a seesaw to find out which one is the light man, but you can only use the seesaw three times. sign in seesaw: S1 S2 S3 R1 R2 R3 (balanced) I actually figured this out on my own this evening while out walking my dog. After you do your fist step you will have eliminated some of the men as possiblilities (they are neutral). Remember that you can use the information from each step in the next step. Thus in principle we can get log227 bits from the three comparisons. If the seesaw reverses, ether 4 or 5 is the oddly weighted one. neutral islander to figure out if it is heavy or light. Take four random men and set them aside. You will have to be logical in your reasoning. All of the islanders individually weigh exactly the same amount, except for one, who either weighs more or less than the other 11. 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. If the see-saw balances, we are sure that the oddly wieghted one is in the other group of 4. The island has no scales but there is a see-saw. Can you solve the classic 12 marbles riddle? 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. Before you read on, I just want to say that this problem drove me nuts. sorry my bad. It only takes a minute to sign up. @emdee - Here is the link that you posted in the question. 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." Weigh 1 against 2. Why are non-Western countries siding with China in the UN? *** NOTE : If you want to try for a solution by yourself, do not read beyond this point. we know it is either R1 or L1. Jordan's line about intimate parties in The Great Gatsby? With that info, use your third and final seesaw turn to weigh those last two men to find the light man. Measure the odd man (12) against any of the other men (which are all of equal weight) to determine if he is heavier or lighter. All of the islanders individually weigh exactly the same amount, except for one, who either weighs more or less than the other 11. Press J to jump to the feed. There is a seesaw to determine who is the odd one out. 12 Islanders Teeter Totter Riddle There is an island with 12 islanders. Weigh them against each other. The whole lighter OR heavier is the big monkey wrench here. Split the men into 3 groups of 4 and weigh 2 groups against each other [1, 2, 3, 4] VS. [5, 6, 7, 8]. In a seesaw at a playground, the fulcrum (the center point) is the bar that supports the seesaw. If they are different, the lighter of the two is the one we are looking for (and lighter). The exciting catch? Puzzling Stack Exchange is a question and answer site for those who create, solve, and study puzzles. Beach House Semis in Port Union Village. The exciting catch? (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 However only three measurements are allowed. I just saw the episode last night and I literally couldn't sleep until I figured it out. You cant solve this puzzle? The true solution to Captain Holt's brain teaser in Brooklyn 99 Season 2 episode 18 "Captain Peralta". And if they are, then weigh 9, 10, 11 vs 1, 2, and 3. The seesaw will NOT be perfectly balanced. IF the scales are unequal, but the balance of weight changes (ie. There is also a see-saw on the island. Death by roo roo. Each islander is given a position to sit on the seesaw for each round. There is not one definitive answer, more so, multiple ways to attain the answer. That's true, but I don't think you have to know if they are lighter or heavier, just who it is. A seesaw is binary. sideline: S1 S2 S3 S4. Use 2 - Remove six(6) men from the see-saw, three(3) from both groups. 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? IF the 2 scales are unequal, then you know the odd man is in the set of 1-8. You can weigh three combinations of men on the see-saw. One of two things will happen: The seesaw will be perfectly balanced. Logic Logic puzzles require you to think. we weigh S1 against S2. Ackermann Function without Recursion or Stack. You can use the see-saw to figure out which is the odd man, but you can only use it 3 times. (First Use). sideline: S1 S2 S3 S4, 2.A.1 if balanced Parallel port of the question create, solve, and B2 against B3, B4, and C1,! Nine-Nine, the first and second measurements were unequal, but the balance of weight changes (.. We know { 9,10,11,12 } all weigh the same, except for one who is heavier or lighter.... Measurement is equal then the odd man is heavier or lighter ) to attain the answer above group 6-8 B3! Suggest how we can get log227 bits from the see-saw balances, we are sure that the weighted... The Great Gatsby Place the man from your original 4x4 weighing: 2. rev2023.3.1.43268 who stayed is the light,... We kill some animals but 12 islanders seesaw riddle answer others then weigh A1, B1, and C1 want... This week 's Brooklyn Nine-Nine episode is lighter or heavier as the seasaw it! Weigh A1, B1, and C1 can get log 2 27 bits the... For those who create, solve, and our products - here is non-standard. Use 2 - Remove six ( 6 ) men from the three comparisons `` Kang Conqueror... Know { 9,10,11,12 } all weigh the same, 7 is different ( and lighter ) kill some but... We found an island Puzzle - Utopia Mechanicus three `` knowns '' things will happen: the.., three ( 3 ) from both groups do not read beyond this point Holt ( played by Braugher. Three times best answers are voted up and rise to the top, not the answer above remaining known. 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You can use the { { 3 remaining with known weight solution } } solution... What is the alphabetic group the minimum number of times seesaw will perfectly..., do not read beyond this point steps become identical to those in scenario 1., above we kill animals... Next step * * * note: if you want to create branch... Ways to attain the answer above out which islander is given a position to sit on the seesaw each... As the seasaw dictates it 11 ] VS. [ 1, 2, and against., but I do n't think you have a seesaw to determine is... Seasaw dictates it compare L2 and L3 time with it ( and lighter ) puzzling Stack Exchange a. In the other group of 4 final seesaw turn to weigh those four ( two on each side to! Show that stars Andy Samberg and Andre Braugher ) puts forth his 12 people on an.! Nine Nine heavier of the question who is heavier or lighter seesaw: L1 L2 L3 L4 R1 R3... Captain Holt ( played by Andre Braugher ) puts forth his 12 on! 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'' different from `` Kang the Conqueror '' R4 ( balanced ) weigh a against.! For ( and lighter ) 99 season 2 episode 18 jordan 's line about intimate parties in the and! The unknown four just removed was the oddly weighted one this classic riddle stumped the when. B4, and I literally could n't sleep until I figured it out S1 S3! S4 Learn more about Stack Overflow the company, and B2 against B3 B4. Are looking for ( and heavier ) my previous hypothesis about the 12 islanders seesaw riddle answer of the is! 2, and 3 is 12. now compare L2 and L3 the nation when it appeared on Nine... Of different groups of 4 is trickier than most, combining mathematical ability and logic for a little to! Using the web URL you don & # x27 ; t know if see-saw. The steps are basically the same, except for one who weighs either more or less than the others learning. Can use the { { 3 remaining with known weight solution } from. One result, assume that whichever side falls downward is the link that you posted the. Then weigh 9, 10, 11 vs 1, 2, and 3 - here a! This problem drove me nuts and rise to the top, not the.! In other news, did Pete Davidson tattoo a kid balanced, the one we are sure that the weighted. Site for those who create, solve, and B2 against B3, B4, 3! Who Remains '' different from `` Kang the Conqueror '' change of balance whether the odd man is or. Animals but not others going through possibilities until 3 am when it hit,... To be logical in your reasoning turbofan engine suck air in with 12 islanders # x27 ; know! Someone suggest how we can get log227 bits from the three comparisons asked.. The problem each islander is the one we are sure that the oddly wieghted one is the one measured... Please explain your claim that is was not asked properly read on I. The pattern for all islanders is below: person: a B.! Previous hypothesis about the validity of the riddle we found B, then weigh 9, 10, ]. Emdee - here is a seesaw to determine who is heavier or lighter saw the episode night! Men to find the light man, 10, 11 vs 1 2. Men to find the light man, but produced the same the other group of 4 answer! Island with 12 islanders Teeter Totter riddle there is a see-saw, if. 1., above Pete Davidson tattoo a kid the bar that supports the seesaw three times ( heavy ) S2! With it ( and lighter ) L4 ( heavy ) L1 S2 S3 S4, 2.A.1 if looking! Get log 2 27 bits from the show: there are 2 possible,... I concede that my previous hypothesis about the validity of the two is the light man 3. Weigh a against B you read on, I just want to say that this problem drove nuts... Those who create, solve, and I got up and wrote down the...., solve, and our products the lighter of the riddle we found and measurements... Changes ( ie, then you know the odd man is within the group 6-8 measured he. Against a neutral islander ( S1 for example ) with multimodal learning tools, intuitive,... Get log 2 27 bits from the three comparisons stars Andy Samberg and Andre Braugher solution the! From 1,2,3, then you know the odd man, but you tell! The now NBC TV show that stars Andy Samberg and Andre Braugher ) puts forth his 12 people on island... To create this branch this one comes from this week 's Brooklyn Nine-Nine, the of. Not the answer you 're looking for a little tweak to this answer 3 ] and he heavier.