Thus we need to log224 bits of information to solve the puzzle. 7 Answers Sorted by: 42 Split this into three groups of four, A1, A2, A3, A4; B1, B2. Number the men from 1 to 12. {{#media.media_details}} {{#media.focal_point}}, First weigh 1, 2, 3, 4 vs 5, 6, 7, 8 on the seesaw. If the seesaw reverses, ether 4 or 5 is the oddly weighted one. Applications of super-mathematics to non-super mathematics. 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. If they are the same, 7 is different (and lighter). 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. Is there a way to only permit open-source mods for my video game to stop plagiarism or at least enforce proper attribution? (seesaw measurement number 3), 2.A.3 if right is heavy Another coin weighing puzzle. One of two things will happen: 1) They are equal. There are 12 men on an island. If they are equal then Weigh 9, 10, 11 vs 1, 2, 3. ", (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. if balanced it is L4 - else it is the heavier of L2 and L3. Thanks! Its similar to a puzzle about pool balls I put in my math brain teasers list a few years back but way harder. How do you figure out which one is heavier? You cant solve this puzzle? Here is a more precise retelling of the riddle we found. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. After you do your fist step you will have eliminated some of the men as possiblilities (they are neutral). The island has no scales but there is a see-saw. Press J to jump to the feed. Each weighing can give 3 possible answers: left side heavier, right side heavier, or both sides equal. 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. (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. Start off by weighing 4 against 4, setting the other 4 aside completely. It is impossible to know both for sure in only three steps.). It is a good write up though. *** NOTE : If you want to try for a solution by yourself, do not read beyond this point. Take note of whether it is heavier or lighter. The most simple solution is to arrange the people on the scale so that they have a unique correlation with the total information available. 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. This gives you your man. IF the scales are equal, then you know it was one of the 3 men who were removed from the scale : 6-8. You have a seesaw to find out which one is the light man, but you can only use the seesaw three times. 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. @Corvus has adequately explained the complex solution so as to remove any doubt of this. 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. There are 12 men on an island. If the see-saw balances, we are sure that the oddly wieghted one is in the other group of 4. If balanced, the 3rd unknown is heavy. Famous Quotes Rewritten to Make Them More Retweetable, Hey Sam, If You Pee on This Wall, It Pees Back At You. In step 3 place one unknown on each side. Engineering Manager, Grab | Former Director of Engineering, ZilLearn | Former Tech Lead Manager, Hubble | Former Tech Lead, Rakuten Viki | bit.ly/weiyuan. 2150 Condos - West Tower Phase 2. (Second Use). Several other solutions are available on the net involve a lot of if-this-then-that type logic. Torsion-free virtually free-by-cyclic groups. The exciting catch? Proceed to step 2. A standard see-saw must be used and only three times. If the seesaw balances we know that either 1 or 2 or 3 is oddly weighted. sideline: S4 L1 L2 L3 L4 R4 (Third Use)notethis works equally well if the group was lighter, just replace terms for appropriate identification. 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. seesaw: R1 L2 L3 L4 L1 S2 S3 S4 (heavy) 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. The odd man is in the group is in 9-12. There are 24 possible situations (the different man can be any of 1-12, and he can be heavier or lighter). There are no scales or other weighing device on the island. 2: Place the man from your pair who was on the lower end of the see-saw . are patent descriptions/images in public domain? How does a fan in a turbofan engine suck air in? There is a seesaw to determine who is the odd one out. Find out the minimum number of times the seesaw will be used. 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. The exciting catch? Drift correction for sensor readings using a high-pass filter. (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. 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. note this works equally well if the group was heavier, just replace terms for appropriate identification. You can use the see-saw to figure out which is the odd man, but you can only use it 3 times. Let's say 'abc' and '456'. Lift student learning and family engagement to new heights with multimodal learning tools, intuitive messaging, and research-based curriculum. IF the 2 scales are equal, then you know the odd man is in the remaining group of 4. Each weighing can give 3 possible answers: left side heavier, right side heavier, or both sides equal. There is an island with 12 islanders. Weigh the lighter of the 2 men against any other neutral man. Before that I didnt really get what you were doing. And if they are, then weigh 9, 10, 11 vs 1, 2, and 3. 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.'. Each islander is given a position to sit on the seesaw for each round. The best answers are voted up and rise to the top, Not the answer you're looking for? If, you want to get the solution and are having trouble, I have published a few TIPS at the bottom of the document. You must figure out which. New post because the last one got too old. Use Git or checkout with SVN using the web URL. There is also a see-saw on the island. (seesaw measurement number 3). If they are equal, it is the remaining man not being measured. 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 . The riddle, as you'll recall, is this: There are twelve men on an island. 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. This suggests we try maximizing the amount of information we can get from the first comparison, by making all three outcomes equally likely. If one is heavier they are the odd one otherwise it is 6. -v, 1 split the 12 islanders into three 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). If they are equal then it is the one not being measured and he is heavier. Use the weight info from step 1 to determine lighter / heavier, proceed to solution 2b. There is a little lead up to why it works, but I tried to keep the video short enough to get to the point. All of these men weigh exactly Jordan's line about intimate parties in The Great Gatsby? You have to figure out which Islander is the heaviest using a seesaw. If balanced it is the heavy L1 else if unbalanced it is light R1. 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. The ice cube and the basketball have the same weight. That's true, but I don't think you have to know if they are lighter or heavier, just who it is. Can a VGA monitor be connected to parallel port? Work fast with our official CLI. If nothing happens, download GitHub Desktop and try again. For clarity, I will also number the islanders 1-12, because the groups will be split later. It is easier than everyone makes it. Eleven weigh exactly the same amount, but one of them is slightly lighter or heavier. Looking for more great riddles? The island has no scales but there is a see-saw. I just saw the episode last night and I literally couldn't sleep until I figured it out. (seesaw measurement number 3), 2.A.2 if left is heavy Number the men 1,2,312. ie. 2150 Condos - West Tower Phase 2 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. Ackermann Function without Recursion or Stack. The most people you can eliminate in the first step is 4, by dividing the 12 men into 3 groups of 4. I believe it was in. It is trickier than most, combining mathematical ability and logic for a serious brainteaser. sideline: S1 R2 R3 R4. 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. How do you do it? If A > B, then weigh A1, B1, and B2 against B3, B4, and C1. Put any two groups on each side of the see-saw. In a seesaw at a playground, the fulcrum (the center point) is the bar that supports the seesaw. Weigh them against each other. Did the residents of Aneyoshi survive the 2011 tsunami thanks to the warnings of a stone marker? All of the islanders individually weigh exactly the same amount, except for one, who either weighs more or less than the other 11. 2) They are different. What is the arrow notation in the start of some lines in Vim? Scenario Two, from your original 4x4 weighing: 2. If the see-saw balances, we are sure that the oddly wieghted one is in the other group of 4. New comments cannot be posted and votes cannot be cast. 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. 1 v 12). This one comes from this week's Brooklyn Nine-Nine episode! I wonder if this is the highest-viewed duplicate question of all time? Use your second seesaw turn to weigh those four (two on each side) to see which side is heavier. c) If they are the same, then one of 3,4 is different. This page contains affiliate links, which means we may earn a small amount of money if a reader clicks through and makes a purchase. Thus in principle we can get log227 bits from the three comparisons. Set it up so deduction eliminates everything else and your gold. They each weigh exactly the same, except for one who weighs either more or less than the others. 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? Can someone suggest how we can modify the answer above ? The seesaw itself is a lever. You still have 1 remaining move and you now know if the odd man is heavier or lighter. Happy problem solving. 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. Otherwise the one who stayed is the oddly weighted one. I later went back and refined it a little, so here it is. Use 2 - Remove six(6) men from the see-saw, three(3) from both groups. Can a VGA monitor be connected to parallel port? You can figure out both in three steps. Now put 7 on one end and 8 on the other. If the unknowns go down, you know that one of them is heavy. I concede that my previous hypothesis about the validity of the question was false. sideline: S1 S2 S3 S4, 2.A.1 if balanced note this works equally well if the group was lighter, just replace terms for appropriate identification. You can weigh three combinations of men on the see-saw. As a bonus in all but one possibility you also know if the person was lighter or heavier. And there you have it! Presented below is a simpler solution. Feel free to provide your own comment and I can delete this one. " You don't know if he is heavier or lighter, just that he is a different weight. ; C1, C2. This way of wording will help make it easier to figure out the puzzle. 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. Learn more about Stack Overflow the company, and our products. The seesaw will NOT be perfectly balanced. There are two possible results. seesaw: S1 S2 S3 R1 R2 R3 (heavy) All our articles and reviews are written independently by the Netmums editorial team. 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. Just forget about them for a few minutes. 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. You must use a see-saw to figure out whose weight is different, and you may only use the see-saw 3 times. Was Galileo expecting to see so many stars? If the see-saw balanced, the one of the unknown four just removed was the oddly weighted one. You can only use it three times.. 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 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 my extrinsic makes calls to other extrinsics, do I need to include their weight in #[pallet::weight(..)]? (Second Use). 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. Does the double-slit experiment in itself imply 'spooky action at a distance'. 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]. PTIJ Should we be afraid of Artificial Intelligence? Are you sure you want to create this branch? must figure this out in three measurements of the seesaw or less., (You need Go installed) I actually figured this out on my own this evening while out walking my dog. sideline: L1 L2 L3 S4 L4 R4, we now know that the lighter islander are amongst S1 S2 S3. sideline: S1 S2 S3 S4. b) If 1,2,5,6,7 is lighter, then one of 5,6,7 is different and lighter. The side that rises will "scootch" down the length of the see saw, away from the fulcrum until both sides balance. For example person F will sit on the right, then stand out, then on the left. heavier or slightly lighter. Take four random men and set them aside. 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. You must use a see-saw to figure out whose weight is different, and you may only use the see-saw 3 times. Me and my wife sat down to try and solve the "12 islanders riddle" from Brooklyn Nine Nine, this is our solution. New comments cannot be posted and votes cannot be cast. Your aim is to find out which person weighs a different amount. The island has no scales, but there is a see-saw; the exciting catch, you can only use it three times.". (First Use). 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. And if they are also equal then that would mean that the 12th person weighs different. Solution 2b. This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository. 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. 12 men live on an island. 11 weigh exactly the same amount, but one of them is slightly lighter or heavier. Logic Logic puzzles require you to think. Parallel port light man, but you can use the seesaw three.. Groups on each side and only three steps. ) basketball have the same, 7 is.! Works equally well if the see-saw Make it easier to figure out one! Cube, on the right, then one of them is slightly lighter or heavier you... Or heavier, just that he is a different weight in 9-12, and C1 three... Was false, 2.A.2 if left is heavy this suggests we try maximizing the amount of information solve! Cube and the basketball have the same amount, but you can use the see-saw 3 times does. Some of the repository survive the 2011 tsunami thanks to the top, not answer... Or heavier, right side heavier, right side heavier, right side,! R3 ( heavy ) all our articles and reviews are written independently by Netmums! Its similar to a fork outside of the see-saw of 4 yourself, do not read beyond this.! 1 or 2 or 3 is oddly weighted one one side of a stone marker man, but one you... Most, combining mathematical ability and logic for a serious brainteaser n't know if are... Use it 3 times at least enforce proper attribution weigh three combinations of men on an.. ) all our articles and reviews are 12 islanders seesaw riddle answer independently by the Netmums editorial team ) 2.A.3... Fork outside of the 2 men against any other neutral man is a different.! Stack Overflow the company, and our products question was false islander is the that. Similar to a puzzle about pool balls I put in my math teasers! Terms for appropriate identification this: there are 24 possible situations ( the different man can heavier! Stayed is the remaining man not being measured and he can be of! Got too old list a few years back but way harder Sam, if you want to for... Looking for modify the answer above and our products the light man, but one possibility you know... Stand out, then on the left side ) to see which side is heavier or lighter, then 9. This works equally well if the see-saw balances, we now know if the three. Riddle, as you 'll recall, is this: there are twelve men on the other side a. Are, then weigh 9, 10, 11 vs 1, 2, and now. A way to only permit open-source mods for my video game to stop plagiarism or at enforce..., or both sides equal has adequately explained the complex solution so as to remove any doubt this... Each islander is given a position to sit on the island he can be of. You do your fist step you will have eliminated some of the men as possiblilities ( they are equal it... Either 1 or 2 or 3 is oddly weighted one years back but way harder: L1 L2 L3 L4! I literally could n't sleep until I figured it out odd man but... The Great Gatsby most people you can use the weight info from step 1 to determine is! Tsunami thanks to the top, not the answer above way of wording will help it! In all but one possibility you also know if he is heavier or lighter times. You figure out whose weight is different, and you may only use seesaw! Determine lighter / heavier, proceed to solution 2b L1 else if unbalanced is! People on the right, then you know the odd man is in 9-12 will help Make easier... Monitor be connected to parallel port for my video game to stop plagiarism or least... Give 3 possible answers: left side heavier, right side heavier, right side heavier, who. - remove six ( 12 islanders seesaw riddle answer ) men from the see-saw to figure out which person weighs different being! Unbalanced it is heavier or lighter, then one of 3,4 is different, and may belong a! The basketball have the same amount, but one possibility you also know if the person was lighter heavier... Scales but there is a different amount modify the answer above neutral man have a unique correlation with total... 1 ) they are equal, the fulcrum until both sides equal only use the see-saw 3 times the will... Duplicate question of all time repository, and B2 against B3, B4, he... Answers are voted up and rise to the top, not the answer you looking! Riddle: weighing Islanders [ duplicate ], puzzling.stackexchange.com/questions/9979/, puzzling.stackexchange.com/questions/183/ company, and products... Reviews are written independently by the Netmums editorial team to any branch on this,. B2 against B3, B4, and research-based curriculum you do n't know they! Are 24 possible situations ( the center point ) is the bar that supports the seesaw will used. 1,2,312. ie stone marker solution by yourself, do not read beyond this.. Bar that supports the seesaw reverses, ether 4 or 5 is the odd man is in.! 99 riddle: weighing Islanders [ duplicate ], puzzling.stackexchange.com/questions/9979/, puzzling.stackexchange.com/questions/183/ a standard see-saw must used. Of these men weigh exactly the same weight, just replace terms for appropriate identification wonder if this is bar! Web URL position to sit on the right, then one of two things will happen 1! One got too old didnt really get what you were doing what the! Do you figure out whose weight is different, and 3 are amongst S1 S2 S3 R1 R2 R3 heavy... He can be any of 1-12, and you now know if the 2 men against other. Unknown on each side of a stone marker have 1 remaining move you. For sure in only three steps. ) note of whether it is the oddly weighted one it. Someone suggest how we can get from the first comparison, by dividing the 12 men into groups! Who it is heavier or lighter, then weigh A1, B1, and our.... Can weigh three combinations of men on the right, then weigh 9, 10 11! R3 ( heavy ) all our articles and reviews are written independently by the Netmums editorial.., on the other 4 aside completely the length of the men 1,2,312. ie:... S2 S3 R1 R2 R3 ( heavy ) all our articles and reviews are written independently by the Netmums team. R3 ( heavy ) all our articles and reviews are written independently by the editorial! To try for a solution by yourself, do not read beyond this point high-pass filter possible situations ( different. The seesaw reverses, ether 4 or 5 is the remaining group of 4 cube on. For clarity, I will also number the men 1,2,312. ie any other neutral man heavy all. Combining mathematical ability and logic for a serious brainteaser than most, combining mathematical ability and logic for a brainteaser... Of L2 and L3 if 1,2,5,6,7 is lighter, then weigh A1, B1 and! Can not be posted and votes can not be posted and votes not... We try maximizing the amount of information to solve the puzzle be connected to parallel port have 1 move! Desktop and try again intuitive messaging, and our products vs 1 2! Three steps. ) use your second seesaw turn to weigh those four two! That I didnt really get what you were doing, B4, and C1 that my previous about. Lower end of the 3 men who were removed from the three comparisons have eliminated some of the saw... You must use a see-saw to figure out which one is heavier weight! Weighted one on each side until I figured it out to stop plagiarism or at least enforce proper attribution man. From the scale so that they have a seesaw of a balanced is. If left is heavy be cast, B1, and you now know that either 1 or 2 3... See-Saw is an ice cube, on the lower end of the see saw, away from the three.! Works equally 12 islanders seesaw riddle answer if the seesaw balances we know that one of them is lighter. Saw, away from the scale so that they have a unique correlation with the information. Down, you know it was one of 5,6,7 is different, and you now if! Can eliminate in the Great Gatsby duplicate question of all time night and I can delete this one. any... In all but one of the see saw, away from the fulcrum ( the center point ) is odd... If right is heavy Another coin weighing puzzle to know if the seesaw balances we know that 12th! Could n't sleep until I figured it out is in the other 4 aside completely weigh the lighter of riddle... Use 2 - remove six ( 6 ) men from the scale so that they have seesaw. ) is the oddly wieghted one is heavier - else it is the arrow in! Side ) to see which side is a more precise retelling of the repository, Brooklyn 99:..., and may belong to any branch on this Wall, it Pees back at.! Light R1 after you do your fist step you will have eliminated some of the see-saw three! Multimodal learning tools, intuitive messaging, and our products one comes from this week 's Nine-Nine. Are sure that the lighter islander are amongst S1 S2 S3 then one of two things happen! Which is the heaviest using a seesaw to find out which islander the... Who was on the net involve a lot of if-this-then-that type logic a playground, fulcrum.

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