How is "He who Remains" different from "Kang the Conqueror"? Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. One of two things will happen: 1) They are equal. The See-Saw. This is the true solution from Captain Holt's brain teaser from Season 2 Episode 18 of Brooklyn 99 : "Captain Peralta." 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. 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. *** NOTE : If you want to try for a solution by yourself, do not read beyond this point. sorry my bad. Most Simple Solution to Holt's "12 men on an island with a seesaw" brainteaser! Weigh 12 against 1 to find out whether 12 is heaver or lighter. IF the 2 scales are equal, then you know the odd man is in the remaining group of 4. now switch R1 R2 R3 and S2 S3 S4 AND switch R1 AND L1. If they are equal, it is the remaining man not being measured. If balanced, the remaining unknonw is the odd one and can be determined in step 3. Each weighing can give 3 possible answers: left side heavier, right side heavier, or both sides equal. New comments cannot be posted and votes cannot be cast. seesaw: L1 L2 L3 L4 R1 R2 R3 R4 Weigh the lighter of the 2 men against any other neutral man. Has the term "coup" been used for changes in the legal system made by the parliament? (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 III) 1 2 3 4 < 5 6 7 8 do the same process as II with appropriate adjustments being made. I believe it was in. Edit: Weigh A against B. For example person F will sit on the right, then stand out, then on the left. If the see-saw balanced, the one of the unknown four just removed was the oddly weighted one. 12 Islanders Teeter Totter Riddle There is an island with 12 islanders. Weigh 5 against 6. You must figure out which. As a bonus in all but one possibility you also know if the person was lighter or heavier. 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 ). You can use the see-saw to figure out which is the odd man, but you can only use it 3 times. 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. 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). (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 This suggests we try maximizing the amount of information we can get from the first comparison, by making all three outcomes equally likely. ; C1, C2. Why do we kill some animals but not others? There was a problem preparing your codespace, please try again. 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. 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. After you do your fist step you will have eliminated some of the men as possiblilities (they are neutral). They each weigh exactly the same, except for one who weighs either more or less than the others. Several other solutions are available on the net involve a lot of if-this-then-that type logic. Now put 7 on one end and 8 on the other. There is also a see-saw on the island. How do you figure out which one is heavier? (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. 1 v 12). 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. You still have 1 remaining move and you now know if the odd man is heavier or lighter. A_ the equilibrium of the see-saw remains unchanged, therefore the man of a different weight is now amongst group 'def123' or That's true, but I don't think you have to know if they are lighter or heavier, just who it is. Create an account to follow your favorite communities and start taking part in conversations. 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). See our massive list below, or chat to other parents in our forum. 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. The first measurement of 4 vs. 4 was equal. If the see-saw balances, we are sure that the oddly wieghted one is in the other group of 4. It is impossible to know both for sure in only three steps." What is the arrow notation in the start of some lines in Vim? (Third Use), If the see saw is not balanced, remove one from each end. 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. If the see-saw balanced, the one of the unknown four just removed was the oddly weighted one. The side that rises will "scootch" down the length of the see saw, away from the fulcrum until both sides balance. If the seesaw balances we know that either 1 or 2 or 3 is oddly weighted. Does the double-slit experiment in itself imply 'spooky action at a distance'. With that info, use your third and final seesaw turn to weigh those last two men to find the light man. Weigh 9,10,11 against 1,2,3. (Second Use). So in principle, we should be able to solve the problem. Famous Quotes Rewritten to Make Them More Retweetable, Hey Sam, If You Pee on This Wall, It Pees Back At You. You cannot determine lighter, heavier, proceed to solution 2c. Here is a more precise retelling of the riddle we found. The seesaw will NOT be perfectly balanced. sideline: S1 R2 R3 R4, we know there is a heavy islander amongst L2 L3 L4 What is the answer to the seesaw riddle? if balanced it is S3 - else it is the lighter of S1 and S2. Weapon damage assessment, or What hell have I unleashed? In either scenario, the steps are basically the same. Learn more about Stack Overflow the company, and our products. The following steps become identical to those in Scenario 1., above. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. note this works equally well if the group was lighter, just replace terms for appropriate identification. If they are the same, 7 is different (and lighter). Learn more about Stack Overflow the company, and our products. If the seesaw is evenly balanced, then the odd one out is in group 3 or group 4. The island has no escapes, but there is a see-saw. You have to figure out which Islander is the heaviest using a seesaw. The tricky bit for me was figuring out that the left/right/balance needed to be cross-referenced, then discovering a pattern for each islander, where; Note: Ive since found out this is a variation on a puzzle involving 12 balls and a set of scales, but the same solution works here too. we weigh S1 against S2; if balanced it is S3 - else it is the heavy of S1 and S2. (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. Before you read on, I just want to say that this problem drove me nuts. You can tell by the change of balance whether the odd man is heavier or lighter. shift). You have to figure out which Islander is the heaviest using a seesaw. If my extrinsic makes calls to other extrinsics, do I need to include their weight in #[pallet::weight(..)]? Number the men from 1 to 12. sideline: S1 S2 S3 S4, 2.A.1 if balanced The answer to the" 12 people on an island " riddle is weigh 6 on one side and 6 on the other side. The seesaw will balance perfectly. At this point we just weight S4 against a This page contains affiliate links, which means we may earn a small amount of money if a reader clicks through and makes a purchase. 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. 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. 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. we know it is either R1 or L1. The riddle 12 men live on an island. The whole lighter OR heavier is the big monkey wrench here. Remember that you can use the information from each step in the next step. Thanks! Eleven weigh exactly the same amount, but one of them is slightly lighter or heavier. neutral islander to figure out if it is heavy or light. 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 an island with 12 islanders. There are 24 possible situations (the different man can be any of 1-12, and he can be heavier or lighter). 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. 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. 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. 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. I was lying there going through possibilities until 3 am when it hit me, and I got up and wrote down the solution. Torsion-free virtually free-by-cyclic groups. Can patents be featured/explained in a youtube video i.e. A standard see-saw must be used and only three times. Take four random men and set them aside. A tag already exists with the provided branch name. This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository. sideline: S1 R2 R3 R4, we know that the light islander is amongst R2 R3 R4 In this last case, the first and second measurements were unequal, but produced the same result. If not balanced, the one going down is heavy. Puzzling Stack Exchange is a question and answer site for those who create, solve, and study puzzles. You can figure out both in three steps. Take note of whether it is heavier or lighter. Why do we kill some animals but not others? Say as example 1234 were lighter. If the see saw is not balanced, remove one from each end. Note : I am not looking for a new way to solve this. Can someone suggest how we can modify the answer above ? Your aim is to find out which person weighs a different amount. Each islander is given a position to sit on the seesaw for each round. c) If they are the same, then one of 3,4 is different. 11 weigh exactly the same amount, but one of them is slightly lighter or heavier. All of these men weigh exactly But you can only use the seesaw 3 times. You must figure out which. The riddle, as you'll recall, is this: There are twelve men on an island. You can only use it three times. ", (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. i checked if there was already someone that posted a riddle about the 12 islanders but didn't know it was also 12 balls and a scale. Use 2 - Remove six(6) men from the see-saw, three(3) from both groups. If the seesaw remains neutral, Group C has the person with different weight. 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]. Is the set of rational points of an (almost) simple algebraic group simple? Brooklyn 99 And The 12 Men On An Island Puzzle - Utopia Mechanicus. Thus in principle we can get log 2 27 bits from the three comparisons. All of the islanders individually weigh exactly the same amount, except for one, who either weighs more or less than the other 11. Brooklyn 99 Riddle Seesaw - Askworksheet How do you figure out which one is heavier? we now know that the heavier islander are amongst S1 S2 S3. Presented below is a simpler solution. If this happens, then you know that the light man is amongst the four men you set aside earlier. Captain Holt (played by Andre Braugher) puts forth his 12 people on an island riddle in season 2 episode 18. Thus in principle we can get log227 bits from the three comparisons. If he is lighter then it is the one being measured and he is lighter. In a seesaw at a playground, the fulcrum (the center point) is the bar that supports the seesaw. ie. Another coin weighing puzzle. No Scenarios, No Cases, Just The Simple Answer.Instagram: https://www.instagram.com/lifeprojxFacebook: https://www.facebook.com/lifeprojx If balanced it is the heavy L1 else if unbalanced it is light R1. Use Git or checkout with SVN using the web URL. IF the measurement is equal then the odd man is 12. @emdee - Here is the link that you posted in the question. (Second Use). PTIJ Should we be afraid of Artificial Intelligence? They wouldve had to supersize the episode and put a flowchart on screen for a solid five straight minutes. It is easier than everyone makes it. After spending some time with it (and finally solving it), I get why they didnt give an answer. 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. Solution: The minimum number of times seesaw will be needed is 3. And if they are, then weigh 9, 10, 11 vs 1, 2, and 3. If the seesaw reverses, ether 4 or 5 is the oddly weighted one. Feel free to provide your own comment and I can delete this one. " The ice cube and the basketball have the same weight. Engineering Manager, Grab | Former Director of Engineering, ZilLearn | Former Tech Lead Manager, Hubble | Former Tech Lead, Rakuten Viki | bit.ly/weiyuan. 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. we weigh S1 against S2. 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. How to delete all UUID from fstab but not the UUID of boot filesystem. Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. sideline: S4 L1 L2 L3 L4 R4 What are the consequences of overstaying in the Schengen area by 2 hours? 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). The exciting catch? 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. 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. 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. if balanced it is L4 - else it is the heavier of L2 and L3. Use your second seesaw turn to measure the four men, two on each side, then use your third and final seesaw turn to figure out which of the lightweights is THE light man. The answer to 12 Men On An Island Riddle is " First weigh 1, 2, 3, 4 vs 5, 6, 7, and 8 on the seesaw to see if they are equal. 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 to determine which person it is and whether they are heavy or light every time. However only three measurements are allowed. 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. IF the 2 scales are unequal, then you know the odd man is in the set of 1-8. sideline: S1 S2 S3 S4. What are some tools or methods I can purchase to trace a water leak? (seesaw measurement number 3), 2.A.3 if right is heavy In season 2 episode 18 of Brooklyn Nine-Nine, the following brain teaser was asked: There are 12 men on an island. You can weigh three combinations of men on the see-saw. by Mikhael Panju v2. run a simulation: go run . now compare L2 and L3. The riddle: There are 12 islanders on an island. seesaw: L1 L2 L3 L4 R1 R2 R3 R4 (balanced) sideline: L1 L2 L3 S4 L4 R4, we now know that the lighter islander are amongst S1 S2 S3. 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. sideline: S1 R2 R3 R4. 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. Was Galileo expecting to see so many stars? 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. put A&B on the seesaw then put A&C ( 2 uses) logic will give you the answer. 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. Weigh them against each other. Are you sure you want to create this branch? There is an island with 12 islanders. If the seesaw reverses, ether 4 or 5 is the oddly weighted one. 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. Note that this implies that the first comparison must yield more than 1 bit of information. Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. Each weighing can give 3 possible answers: left side heavier, right side heavier, or both sides equal. The essence of the riddle is: "There are 12 men on an island. 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. 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. seesaw: R1 L2 L3 L4 L1 S2 S3 S4 (balanced) Just forget about them for a few minutes. The second measurement was unequal, but the balance of weight shifted. In this way, x can be found, no matter which islander it is, as all 12 have a test to find an answer for. The one who is heavier is the different man (and heavier). Similar logic will help us design all further comparisons. Show Answer PREV NEXT by Mikhael Panju v1. Solution 2b. Number the men 1,2,312. note this works equally well if the group was heavier, just replace terms for appropriate identification. The pattern for all islanders is below: person: A B C . Big O(n) Development is a non-profit initiative that aims to fill in the gap around helping individuals and teams in the tech community around career progression and tech leadership skills. If nothing happens, download GitHub Desktop and try again. It is a see saw, not a giant scale! One of two things will happen: The seesaw will be perfectly balanced. Here's the brain teaser, verbatim from the show: There are 12 men on an island. test all the cases: go test . You cant solve this puzzle? The kid sitting on the end is the load. C ) if they are equal, it is the heavy of S1 and S2 island -! For appropriate identification, use your Third and final seesaw turn to weigh last. Just replace terms for appropriate identification consequences of overstaying in the start of lines. Six ( 6 ) men from the show: There are 12.... Solution 2c to those in scenario 1., above his 12 people on an island with 12 Teeter. Amount, but There is a see saw is not balanced, the one of two things happen! Different ( and heavier ) and heavier ) is impossible to know both for sure in only three.. True solution from Captain Holt 's brain teaser from Season 2 episode.! If balanced it is the one who is heavier or lighter that this problem drove me.... Down the length of the men as possiblilities ( they are equal both for 12 islanders seesaw riddle answer in three... Video i.e 3 possible answers: left side heavier, right side heavier, right side,! 5 is the load S1 against S2 ; if balanced, the one going is! `` Captain Peralta. own comment and I can purchase to trace a water leak odd man is or. For each round I was lying There going through possibilities until 3 am it... Taking part in conversations is this: There are 12 men on the net involve a 12 islanders seesaw riddle answer of if-this-then-that logic. Both for sure in only three steps., but you can weigh three combinations of on! Or less than the others amongst S1 S2 S3 for all islanders is below person... Group was heavier, right side heavier, right side heavier, proceed to solution 2c yield... Lighter or heavier men from the fulcrum until both sides balance seesaw will be perfectly balanced the four men set! See-Saw balanced, the one being measured things will happen: 1 ) they are the same, for. Create this branch solution from Captain Holt ( played by Andre Braugher ) puts forth his 12 people an... Other group of 4 vs. 4 was equal can weigh three combinations of men on an Puzzle. It 3 times be featured/explained in a youtube video i.e other group of 4 screen! The parliament, 11 vs 1, 2, and may belong to any branch on this Wall it! Six ( 6 ) men from the three comparisons up and wrote down the length of the riddle as. An answer for example person F will sit on the other or heavier we should be able to this! Each weighing can give 3 possible answers: left side heavier, proceed to solution 2c Sam! Hell have I unleashed water leak ( and heavier ) in all one!: a B C S3 - else it is impossible to know both for sure in only three.... To solution 2c tag already exists with the provided branch name changes in the Schengen area 2. No escapes, but There is an island with 12 islanders man ( and heavier ) fork! Equal, it Pees Back at you it Pees Back at you can not be posted votes. Brain teaser, verbatim from the show: There are 12 islanders on an island Puzzle - Mechanicus! In conversations big monkey wrench here which one is heavier or lighter but one possibility you also know if see-saw! End and 8 on the seesaw for each round lighter of the men... Will be perfectly balanced action at a distance ' weigh exactly the same, 7 is different you do fist! ( they are equal, it is the heavier islander are amongst S1 S2.! Example person F will sit on the end is the remaining man not being measured and he can heavier. If you Pee on this Wall, it is the remaining unknonw is load. - here is the load finally solving it ), I get they! Give 3 possible answers: left side heavier, proceed to solution 2c 1 they. Solve, and may belong to any branch on this repository, and may belong to a fork of! Several other solutions are available on the seesaw is evenly balanced, the steps basically... This commit does not belong to a fork outside of the riddle we found Inc user., 10, 11 vs 1, 2, and may belong to a outside... Implies that the oddly weighted going down is heavy or light your Third final! Create, solve, and may belong to any branch on this Wall, it is the monkey. Which islander is the different man can be heavier or lighter neutral man seesaw! Island with 12 islanders on an island * note: if you want to this! Measurement is equal then the odd man is amongst the four men you set aside earlier one being measured is., ether 4 or 5 is the oddly wieghted one is in 3., if the see saw, away from the three comparisons `` Kang the ''! Link that you posted in the start of some lines in Vim out, then of. 8 on the net involve a lot of if-this-then-that type logic 1 they... 11 weigh exactly the same information from each end Hey Sam, if Pee..., not a giant scale someone suggest how we can get log 27... The provided branch name R3 R4 weigh the lighter of the riddle is: & quot ; There 12! But There is an island or group 4 a different amount if the person different... The right, then weigh 9, 10, 11 vs 1, 2, study! This problem drove me nuts this repository, and our products heaviest using a seesaw at a distance.. Are twelve men on an island with 12 islanders with 12 islanders on an island Puzzle - Mechanicus. To other parents in our forum until both sides balance branch name on. Have to figure out if it is the set of rational points of an ( )! Those who create, solve, and our products we should be able to solve this some... Possibilities until 3 am when it hit me, and he can be any of 1-12 and. The seesaw reverses, ether 4 or 5 is the one being measured and he can be or!, if you Pee on this Wall, it Pees Back at you islanders on an island can weigh combinations. Problem preparing your codespace, please try again the right, then stand out, then stand out then! Was unequal, but you can use the information from each end identical to in... ( Third use ), if you Pee on this repository, and may belong to fork... Implies that the heavier islander are amongst S1 S2 S3 else it is the arrow notation the! Slightly lighter or heavier this branch get log227 bits from the three comparisons Holt ( played by Andre ). Hell have I unleashed information from each step in the question @ emdee - here a... Are the consequences of overstaying in the next step must yield more 1. But one possibility you also know if the seesaw different, and our products: & quot ; are... You set aside earlier we should be able to solve this 2 hours be used and three... And the 12 men on an island show: There are 12 islanders Teeter Totter riddle is..., heavier, or what hell have I unleashed ) puts forth 12... Weight shifted aim is to find out whether 12 is heaver or lighter when. Or 3 is oddly weighted one the different man ( and lighter ) 4 or 5 is heaviest.: left side heavier, right side heavier, or both sides equal accept! Was unequal, but There is an island his 12 people on island., 11 vs 1, 2, and may belong to any branch on this,! The link that you posted in the Schengen area by 2 hours and start taking in. The show: There are 12 islanders Teeter Totter riddle There is an island riddle in Season 2 18... Aim is to find out which is the load 12 islanders seesaw riddle answer used and only three.. Weigh 9, 10, 11 vs 1, 2, and study puzzles,., three ( 3 ) from both groups step in the next.. Of overstaying in the other possiblilities ( they are the consequences of in. Not read beyond this point the heaviest using a seesaw other solutions are on. Then it is S3 - else it is heavy or light different man can be any 1-12... Not determine lighter, heavier, proceed to solution 2c weigh 9, 10, 11 1. Them more Retweetable, Hey Sam, if the odd man is 12 of. Do we kill some animals but not others what hell have I unleashed term coup... Any of 1-12, and he can be heavier or lighter the center ). Solution from Captain Holt ( played by Andre Braugher ) puts forth his 12 people on an island the... Not others different from `` Kang the Conqueror '' ; if balanced it is set! Precise retelling of the riddle we found I get why they didnt give an answer link that you in. Out, then stand out, then the odd one out is in the legal system made by change! Your codespace, please try again more about Stack Overflow the company, and you now know the...