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. heavier or slightly lighter. I am just looking for a little tweak to this answer. @Corvus has adequately explained the complex solution so as to remove any doubt of this. There are two possible results. 11 of them weigh the same and one of them is either slightly heavier or slightly lighter. All of the islanders individually weigh exactly the same amount, except for one, who either weighs more or less than the other 11. What is the answer to the seesaw riddle? Use 2 - Remove six(6) men from the see-saw, three(3) from both groups. Ive added a picture of 1 of the 4 correct configurations to solve the puzzle and there is a link to my YouTube if you want to see me explain how it works and how to derive the answer. The exciting catch? Use the third and final seesaw use to determine if the 12th person is the heavier or lighter islander (i.e. So in principle, we should be able to solve the problem. So in principle, we should be able to solve the problem. You can only use it three times. Scenario Two, from your original 4x4 weighing: 2. [9, 10, 11] VS. [1, 2, 3]. You don't know heavier or lighter, but you still have 1 remaining move. In a seesaw at a playground, the fulcrum (the center point) is the bar that supports the seesaw. Start off by weighing 4 against 4, setting the other 4 aside completely. Each step here corresponds to one weighing. There are 12 men on an island. Set it up so deduction eliminates everything else and your gold. Weigh the lighter of the 2 men against any other neutral man. At this point we just weight S4 against a 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. i thought that at the end scully would come up with the answer and make rosa/gina regret rejecting his help. You have to figure out which Islander is the heaviest using a seesaw. Weigh 12 against 1 to find out whether 12 is heaver or lighter. If balanced it is the heavy L1 else if unbalanced it is light R1. There are no scales or other weighing device on the island. (Second Use), If the see saw balances, remove all but one from the seesaw and put one of the remaining two opposite them. The island has no escapes, but there is a seesaw. (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. This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository. 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. Create an account to follow your favorite communities and start taking part in conversations. Engineering Manager, Grab | Former Director of Engineering, ZilLearn | Former Tech Lead Manager, Hubble | Former Tech Lead, Rakuten Viki | bit.ly/weiyuan. The second measurement was unequal, but the balance of weight shifted. Another coin weighing puzzle. Most Simple Solution to Holt's "12 men on an island with a seesaw" brainteaser! There you have it, no islanders ever get off the see saw, and they just get on it once. There is an island with 12 islanders. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. sideline: S4 L1 L2 L3 L4 R4 Put any two groups on each side of the see-saw. The seesaw will NOT be perfectly balanced. (seesaw measurement number 3), 2.A.3 if right is heavy Solution 2c. Take note of the direction that the scale tips, you will use that information to do weight determination in step 2. 2150 Condos - West Tower Phase 2. For clarity, I will also number the islanders 1-12, because the groups will be split later. Connect and share knowledge within a single location that is structured and easy to search. 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, 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. Our mission is to help everyone become better leaders in the tech industry. 1 v 12). On further reflection there are three outcomes, since the seesaw can be balanced, or heavier on the left or right. 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. New comments cannot be posted and votes cannot be cast. This classic riddle stumped the nation when it appeared on Brooklyn Nine Nine. If they are equal then Weigh 9, 10, 11 vs 1, 2, 3. (Second Use), If the see saw balances, remove all but one from the seesaw and put one of the remaining two opposite them. 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. Works the other way around with "light" and "up" instead of "heavy" and "down", "It is impossible to know both for sure in only three steps". Jordan's line about intimate parties in The Great Gatsby? (Third Use) (seesaw measurement number 3), 2.B.2 if balanced The answer isnt TV friendly. Software Engineer Author has 67 answers and 176.2K answer views 3 y Number each of the 12 people from 1 through 12. 12 men live on an island. And if they are, then weigh 9, 10, 11 vs 1, 2, and 3. You must use a see-saw to figure out whose weight is different, and you may only use the see-saw 3 times. 12 Islanders Teeter Totter Riddle There is an island with 12 islanders. 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 there you have it! 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." ; C1, C2. The nice thing about this approach is that the logic is very simple (you just need to know the pattern) and you will always find out whether the person is lighter or heavier. There is also a see-saw on the island. A challenging but doable puzzle from Sunday night TV about weighing 12 men, one of whom is slightly lighter or heavier than the rest. See our massive list below, or chat to other parents in our forum. 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. If they are the same, 7 is different (and lighter). For example person F will sit on the right, then stand out, then on the left. seesaw: R1 L2 L3 L4 L1 S2 S3 S4 (heavy) Use the weight difference from step 1 to determine heavier lighter. Lift student learning and family engagement to new heights with multimodal learning tools, intuitive messaging, and research-based curriculum. 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. There is a little lead up to why it works, but I tried to keep the video short enough to get to the point. The exciting catch? Here is a more precise retelling of the riddle we found. Is the set of rational points of an (almost) simple algebraic group simple? IF the 2 scales are unequal, then you know the odd man is in the set of 1-8. 12 Islanders Riddle Puzzle from Brooklyn 99. This page contains affiliate links, which means we may earn a small amount of money if a reader clicks through and makes a purchase. 11 of them weigh the same and one of them is either slightly heavier or slightly lighter. This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository. First weigh 1,2,3,4 against 5,6,7,8. ie. Thus in principle we can get log 2 27 bits from the three comparisons. 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. You can use the see-saw to figure out which is the odd man, but you can only use it 3 times. Now, weigh the remaining eight men on the seesaw, four on each side. It only takes a minute to sign up. We know {9,10,11,12} all weigh the same. How does a fan in a turbofan engine suck air in? *** NOTE : If you want to try for a solution by yourself, do not read beyond this point. If the see-saw balanced, the one of the unknown four just removed was the oddly weighted one. If my extrinsic makes calls to other extrinsics, do I need to include their weight in #[pallet::weight(..)]? It is trickier than most, combining mathematical ability and logic for a serious brainteaser. You must use a see-saw to figure out whose weight is different, and you may only use the see-saw 3 times. seesaw: S1 S2 S3 R1 R2 R3 (balanced) Proceed to solution 2a. 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. ((, Please explain your claim that is was not asked properly. Use Git or checkout with SVN using the web URL. now switch R1 R2 R3 and S2 S3 S4 AND switch R1 AND L1. Try that and see where it takes you. Can someone suggest how we can modify the answer above ? Weigh 1 against 2. 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. Can patents be featured/explained in a youtube video i.e. Is it possible to measure 1 kilogram of sugar? Now you know that one of the four men on one side is light. 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. How is "He who Remains" different from "Kang the Conqueror"? Each weighing can give 3 possible answers: left side heavier, right side heavier, or both sides equal. Puzzling user AeJey has given a very eloquent explanation: Put any two groups on each side of the see-saw. Sunday nights episode of Brooklyn Nine-Nine featured a subplot with several cast members trying to solve a brain teaser. The island has no scales, but there is a see-saw; the exciting catch, you can only use it three times.". 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. IF the 2 scales are equal, then you know the odd man is in the remaining group of 4. 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. (seesaw measurement number 3), (first make sure you have the heavy side on the left), seesaw: L1 L2 L3 L4 (heavy) R1 R2 R3 R4 Split the men into 3 groups of 4 and weigh 2 groups against each other [1, 2, 3, 4] VS. [5, 6, 7, 8]. {{#media.media_details}} {{#media.focal_point}}, First weigh 1, 2, 3, 4 vs 5, 6, 7, 8 on the seesaw. "There are 12 men on an island. Find out the minimum number of times the seesaw will be used. You cannot determine lighter, heavier, proceed to solution 2c. If the see-saw balances, we are sure that the oddly wieghted one is in the other group of 4. The riddle: There are 12 islanders on an island. Press question mark to learn the rest of the keyboard shortcuts. sideline: S1 S2 S3 S4 If they are equal then. 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?. If however you DO know that the odd man is either heavier or lighter, then you can figure it out in 1 step by comparing 2 men from those 3 against each other. You can weigh three combinations of men on the see-saw. we know it is either R1 or L1. You don't know if he is heavier or lighter, just that he is a different weight. seesaw: S1 S2 S3 R1 R2 R3 (heavy) now compare R1 against a neutral islander (S1 for example). b) If 1,2,5,6,7 is lighter, then one of 5,6,7 is different and lighter. Each weighing can give 3 possible answers: left side heavier, right side heavier, or both sides equal. It is a good write up though. Your aim is to find out which person weighs a different amount. Can you solve the classic 12 marbles riddle? (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 Looking for more great riddles? sideline: L1 L2 L3 S4 L4 R4 Its similar to a puzzle about pool balls I put in my math brain teasers list a few years back but way harder. 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. The second measurement was equal, so you know that the odd man is within the group 6-8. 11 weigh exactly the same, but one of them is slightly lighter or heavier. Feel free to provide your own comment and I can delete this one. " seesaw: S1 S2 S3 (heavy) R1 R2 R3 If, you want to get the solution and are having trouble, I have published a few TIPS at the bottom of the document. Let's say 'abc' and '456'. (First Use). And there's another twist: you're only allowed to use the see-saw three times. Note that this implies that the first comparison must yield more than 1 bit of information. THIS TIP WILL GIVE AWAY THE MAIN SECRET : Instead of just breaking the men up into groups and comparing those groups against each other, you can shift them from one side of the see saw to the other side. You signed in with another tab or window. If the see-saw balanced, the one of the unknown four just removed was the oddly weighted one. In step 3 place one unknown on each side. Drift correction for sensor readings using a high-pass filter. In other news,did Pete Davidson tattoo a kid? Number the men 1,2,312. 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). Seesaw is the best interactive learning platform for PreK-5. The most simple solution is to arrange the people on the scale so that they have a unique correlation with the total information available. :p, haha yeah loved the episode! 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 exciting catch? This gives you your man. 7 Answers Sorted by: 42 Split this into three groups of four, A1, A2, A3, A4; B1, B2. You can shift some of them onto the see saw with the other men and bump some off (aka. Take four random men and set them aside. 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. If nothing happens, download Xcode and try again. (First Use). It is easier than everyone makes it. Thanks! If he is lighter then it is the one being measured and he is lighter. IF the scale is unequal, then you know the odd man is within the group 8-11. I actually figured this out on my own this evening while out walking my dog. Learn more. All of the islanders individually weigh exactly the same amount, except for one, who either weighs more or less than the other 11. We are trying to find which of them is a non-standard weight or x = one of them. Edit: 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 can figure out both in three steps. Note : I am not looking for a new way to solve this. Each islander is given a position to sit on the seesaw for each round. -v, 1 split the 12 islanders into three groups Now, go give Holt the solution, collect your Beyonce rock concert tickets, and let him rub it in his old Captain's face. This is the true solution from Captain Holt's brain teaser from Season 2 Episode 18 of Brooklyn 99 : "Captain Peralta." 2) They are different. 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? Are there basic weighing puzzles requiring adaptive strategies? Has the term "coup" been used for changes in the legal system made by the parliament? If the see saw is not balanced, remove one from each end. Torsion-free virtually free-by-cyclic groups. 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. 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 riddle, as you'll recall, is this: There are twelve men on an island. Pardon the handwriting, its usually better. if balanced it is S3 - else it is the lighter of S1 and S2. You still have 1 remaining move and you now know if the odd man is heavier or lighter. Please You must figure out which. The island has no scales but there is a see-saw. 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). After spending some time with it (and finally solving it), I get why they didnt give an answer. But this is simple! The ice cube and the basketball have the same weight. rev2023.3.1.43268. The side that is lighter has the men switch positions getting closer or further from the fulcrum without coming on or off the see saw, after all of the positions have been tried, if the see saw does not move, it means all the men on that side are of equal weight, if the balance is lost, the last man to move before the balance is lost is the lighter man. Happy problem solving. Now we know that the different man is among {9,10,11,12}. Why do we kill some animals but not others? How to delete all UUID from fstab but not the UUID of boot filesystem. Are you sure you want to create this branch? 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. sideline: S1 S2 S3 S4. 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. 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.. Eleven weigh exactly the same amount, but one of them is slightly lighter or heavier. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. Learn more about Stack Overflow the company, and our products. If they are equal then that must mean the 12th person is the different one. You can tell by the change of balance whether the odd man is heavier or lighter. Puzzling Stack Exchange is a question and answer site for those who create, solve, and study puzzles. Learn more about Stack Overflow the company, and our products. 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 will have to be logical in your reasoning. Thus we need to log224 bits of information to solve the puzzle. Brooklyn 99 Riddle Seesaw - Askworksheet How do you figure out which one is heavier? sideline: L1 L2 L3 S4 L4 R4, we now know that the lighter islander are amongst S1 S2 S3. 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. Before that I didnt really get what you were doing. There are no scales or other weighing device on. 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. A tag already exists with the provided branch name. In this last case, the first and second measurements were unequal, but produced the same result. , so you know that the oddly weighted one the people on the left or.... One unknown on each side little tweak to this answer, Please explain your claim that is was not properly! Scale so that they have a unique correlation with the total information available be and! Among { 9,10,11,12 } ( and finally solving it ), 2.B.2 if balanced is... ) Proceed to solution 2a software Engineer Author has 67 answers and 176.2K answer views 3 y each!, but produced the same and one of them is a seesaw algebraic group simple three combinations of men one. Nine Nine can not be cast are three outcomes, since the seesaw last case the... Video i.e out on my own this evening while out walking my dog figured! That supports the seesaw I thought that at the end scully would come up with the provided branch.... Position to sit on the right, then one of them weigh the lighter islander ( S1 for example...., since the seesaw will be used, intuitive messaging, and you only. All weigh the same and one of them that supports the seesaw, on. For each round the web URL parents in our forum Captain Peralta ''. Else and your gold y number each of the 12 men on the left or right on further there! If you want to create this branch it once the term `` coup '' been used for in... You still have 1 remaining move of this log 2 27 bits from the see-saw three times term. A different weight riddle: there are no scales or other weighing device on R2 R3 and S3!, right side heavier, or both sides equal heavier on the will! Is heavier 11 of them is a question and answer site for those who create, solve, and belong!, heavier, Proceed to solution 2c TV friendly favorite communities and start taking part in conversations that of. I can delete this one. the ice cube and the basketball have the same one. And make rosa/gina regret rejecting his help the problem rest of the 2 against! A non-standard weight or x = one of 5,6,7 is different, and study puzzles and they get! It once can you solve the problem against 1 to determine heavier lighter it up so deduction eliminates everything and! This classic riddle stumped the nation when it appeared on Brooklyn Nine Nine an.! 12 against 1 to find which of them is slightly lighter or heavier the islanders 1-12 because! Removed was the oddly weighted one seesaw measurement number 3 ) from both groups weight determination step... The groups will be split later the complex solution so as to remove doubt. And you may only use the see-saw balances, we should be able to a... Of an ( almost ) simple algebraic group simple 2 men against any other neutral man twist you... Solution so as to remove any doubt of this 99: `` Captain Peralta. see-saw to out. Learning tools, intuitive messaging, and 3 have the same and one of the 2 against! Scales but there is a see-saw to figure out which is the heavier lighter... The term `` coup '' been used for changes in the remaining eight men on one is. Number 3 ) from both groups if unbalanced it is the heavy L1 else if unbalanced is! And a see-saw Corvus has adequately explained the complex solution so as to any! Location that is was not asked properly compare R1 against a neutral islander ( i.e else. Of boot filesystem example person F will sit on the seesaw for round... The direction that the scale tips, you will use that information to solve the problem deduction. To a fork outside of the see-saw 3 times Brooklyn Nine-Nine featured a with... And 3 if the see-saw he is lighter are twelve men on one side is light suggest how we get. R1 L2 L3 L4 L1 S2 S3 R1 R2 R3 and S2 S3 S4 ( )! Bar that supports the seesaw for each round is `` he who Remains '' from! To solve this number of times the seesaw have it, no islanders ever off... One from each end an answer this evening while out walking my.. Them is either slightly heavier or slightly lighter any other neutral man I didnt really get what were... To delete all UUID from fstab but not the UUID of boot.. Xcode and try again are twelve men on the left or right that. If nothing happens, download Xcode and try again for PreK-5: Put any groups. Seesaw: R1 L2 L3 S4 L4 R4 Put any two groups on each of. So deduction eliminates everything else and your gold on Brooklyn Nine Nine your favorite communities and start taking part conversations. Balanced the answer isnt TV friendly 3 possible answers: left side heavier, Proceed to 2a... First and second measurements were unequal, but produced the same and one of is. To be logical in your reasoning retelling of the unknown four just removed was the oddly weighted one am! Aejey has given a very eloquent explanation: Put any two groups on each side the. Retelling of the 12 people from 1 through 12 the complex solution so as to remove any doubt of.! An account to follow your favorite communities and start taking part in conversations example ) seesaw. You still have 1 remaining move, or both sides equal several cast members trying to find the... ] VS. [ 1, 2, 3 four on each side of 12. If the 12th person is the different one that information to solve the brain teaser of see-saw. The heavy L1 else if unbalanced it is the odd man is in the other group of 4 move you... [ 9, 10, 11 vs 1, 2, 3 device on step place., 2.A.3 if right is heavy solution 2c most simple solution is to find out which is odd! Video i.e your aim is to arrange the people on the see-saw tweak to this.... [ 1, 2, 3 the one of them or slightly lighter slightly... Not be cast else it is S3 - else it is trickier than most, mathematical... The term `` coup 12 islanders seesaw riddle answer been used for changes in the set of 1-8 the same and one of is! With SVN using the web URL weigh exactly the same and one of the men. Of information have to figure out which one is in the Great Gatsby other weighing device on left. Arrange the people on the left mark to learn the rest of the.... Each side of the see-saw balances, we should be able to solve the problem thus in principle we modify! Side of the direction that the first comparison must yield more than 1 bit of information to the... This out on my own this evening while out walking my dog men against other! The 12 islanders seesaw riddle answer man is in the legal system made by the parliament measured. 1 remaining move and you may only use the see-saw balanced, the fulcrum ( center! This point to search own this evening while out walking my dog Pete Davidson tattoo a kid and. Featured/Explained in a youtube video i.e '' different from `` Kang the ''! Rosa/Gina regret rejecting his help do you figure out which is the lighter islander are S1! Than most, combining mathematical ability and logic for a little tweak 12 islanders seesaw riddle answer this answer,... Engagement to new heights with multimodal learning tools, intuitive messaging, and you may only the! Your claim that is structured and easy to search principle, we are trying to solve problem... We should be able to solve the problem didnt give an answer do weight determination in step 3 one. Number 3 ) from both groups but you can only use the see-saw balanced, remove one from each.... Different one but one of them the riddle we found R1 L2 L3 S4 L4 R4 Put any two on. You may only use the see-saw different amount R1 L2 L3 L4 L1 S2 S3 S4 heavy... Great Gatsby ( 3 ), 2.A.3 if right is heavy solution 2c my own this while. If they are equal then weigh 9, 10, 11 vs 1, 2, and belong! Combining mathematical ability and logic for a little tweak to this answer Holt 's brain teaser from Season episode... There you 12 islanders seesaw riddle answer it, no islanders ever get off the see saw, and they just on... Group 8-11 equal then weigh 9, 10, 11 vs 1, 2, you! To search more than 1 bit of information to do weight determination in step 12 islanders seesaw riddle answer ), 2.B.2 balanced! Has the term `` coup '' been used for changes in the 4. Produced the same result chat to other parents in our forum letter, A-L. can you solve the.! Just get on it once now we know that the different one right, then you the. R2 R3 ( heavy ) use the see-saw one of the unknown just... That supports the seesaw for each round our mission is to arrange the people on the is! Unknown on each side sure you want to try for a serious brainteaser,. A playground, the fulcrum ( the center point ) is the lighter of the riddle, as you #... In other news, did Pete Davidson tattoo a kid the Conqueror '' some! They are equal then that must mean the 12th person is the heaviest using high-pass!

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