If they are the same, 8 is the one we are looking for (and lighter). Most Simple Solution to Holt's "12 men on an island with a seesaw" brainteaser! Another coin weighing puzzle. sorry my bad. 11 of them weigh the same and one of them is either slightly heavier or slightly lighter. You must figure out which. If the see-saw balances, we are sure that the oddly wieghted one is in the other group of 4. The most simple solution is to arrange the people on the scale so that they have a unique correlation with the total information available. Use your second seesaw turn to weigh those four (two on each side) to see which side is heavier. Which brings us to Use 3 - Place both new groups 'def123' and 'abc456' on the teeter-totter again as we did in the beginning. Find out the minimum number of times the seesaw will be used. There are no scales or other weighing device on the island. 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 these are equal, the different man is 12. All of these men weigh exactly Is the set of rational points of an (almost) simple algebraic group simple? There is also a see-saw on the island. This gives you your man. sideline: S1 S2 S3 S4. 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. If they are equal then that must mean the 12th person is the different one. All of the islanders individually weigh exactly the same amount, except for one, who either weighs more or less than the other 11. Proceed to solution 2a. If they are equal then. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. The true solution to Captain Holt's brain teaser in Brooklyn 99 Season 2 episode 18 "Captain Peralta". I believe it was in. b) If 1,2,5,6,7 is lighter, then one of 5,6,7 is different and lighter. A_ the equilibrium of the see-saw remains unchanged, therefore the man of a different weight is now amongst group 'def123' or Start off by weighing 4 against 4, setting the other 4 aside completely. 11 weigh exactly the same amount, but one of them is slightly lighter or heavier. A Puzzle is presented where there are twelve identical looking islanders and a seesaw. Proceed to solution 1a. Say as example 1234 were lighter. (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. Why are non-Western countries siding with China in the UN? heavier or slightly lighter. Three measurements in all. 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 answer isnt TV friendly. Work fast with our official CLI. must figure this out in three measurements of the seesaw or less., (You need Go installed) 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). I can do this in one move, where no one gets off the see saw, and they only get on it once. 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. 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. to use Codespaces. But this is simple! 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. 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. There are 12 men on an island. Here is a more precise retelling of the riddle we found. seesaw: L1 L2 L3 L4 R1 R2 R3 R4 (balanced) There is also a see-saw on the island. If the seesaw reverses, ether 4 or 5 is the oddly weighted one. Did the residents of Aneyoshi survive the 2011 tsunami thanks to the warnings of a stone marker? We know {9,10,11,12} all weigh the same. Now, weigh the remaining eight men on the seesaw, four on each side. 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. You can shift some of them onto the see saw with the other men and bump some off (aka. 12 men live on an island. Feel free to provide your own comment and I can delete this one. " If they are different, the lighter of the two is the one we are looking for (and lighter). 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. {{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. we know it is either R1 or L1. 11 weigh exactly the same, but one of them is slightly lighter or heavier. If balanced, the 3rd unknown is heavy. :p, haha yeah loved the episode! You can weigh three combinations of men on the see-saw. With that info, use your third and final seesaw turn to weigh those last two men to find the light man. This one comes from this week's Brooklyn Nine-Nine episode! The unique and extremely popular [citation needed] authority on pop culture since 2008. we now know that the odd islander is S4. They each weigh exactly the same, except for one who weighs either more or less than the others. Seesaw is the best interactive learning platform for PreK-5. (First Use). Thus in principle we can get log227 bits from the three comparisons. There are 2 possible outcomes, either they are equal, or unequal. You have a seesaw to find out which one is the light man, but you can only use the seesaw three times. You must use a see-saw to figure out whose weight is different, and you may only use the see-saw 3 times. Agree with Rocco here but only because it is this interpretation of the riddle that is described in the OP. 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. 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. However only three measurements are allowed. 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 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. 2) They are different. 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. (seesaw measurement number 3), 2.A.2 if left is heavy You can only use it three times.. So the solution must involve cross-referencing the left, right or balanced measurements of different groups of islanders. The exciting catch? Help me understand the context behind the "It's okay to be white" question in a recent Rasmussen Poll, and what if anything might these results show? There was a problem preparing your codespace, please try again. Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. Software Engineer Author has 67 answers and 176.2K answer views 3 y Number each of the 12 people from 1 through 12. The results of that 4x4 measurement will indicate to you to a second specific group of 4 to measure, and from there, only 2. Famous Quotes Rewritten to Make Them More Retweetable, Hey Sam, If You Pee on This Wall, It Pees Back At You. 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. You can use the see-saw to figure out which is the odd man, but you can only use it 3 times. {{#media.media_details}} {{#media.focal_point}}, First weigh 1, 2, 3, 4 vs 5, 6, 7, 8 on the seesaw. The island has no scales, but there is a see-saw; the exciting catch, you can only use it three times.". This way of wording will help make it easier to figure out the puzzle. Before that I didnt really get what you were doing. And there's another twist: you're only allowed to use the see-saw three times. seesaw: R1 L2 L3 L4 L1 S2 S3 S4 (balanced) For example person F will sit on the right, then stand out, then on the left. In either scenario, the steps are basically the same. Questions: III) 1 2 3 4 < 5 6 7 8 do the same process as II with appropriate adjustments being made. 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? If one is heavier they are the odd one otherwise it is 6. (seesaw measurement number 3). Our mission is to help everyone become better leaders in the tech industry. Made me laugh when Amy started with "Take six islan-" and Holt said, "Nope, won't work." If they are equal then Weigh 9, 10, 11 vs 1, 2, 3. 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. It is trickier than most, combining mathematical ability and logic for a serious brainteaser. sideline: S1 S2 S3 S4, 2.A.1 if balanced (Second Use), If the see saw balances, remove all but one from the seesaw and put one of the remaining two opposite them. The exciting catch? Put any two groups on each side of the see-saw. Take 3 men from the group and measure against 3 neutral men from 1-8. ie. 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). We are trying to find which of them is a non-standard weight or x = one of them. What are some tools or methods I can purchase to trace a water leak? You must use a see-saw to figure out whose weight is different, and you may only use the see-saw 3 times. 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. Here is one way of working out which of the people on the island weighs a different amount. L: sit on the left, R: sit on the right, -: don't sit on the seesaw.. I) 1 2 3 4 = 5 6 7 8 then Use 2: 9 against 10 //9 10 11 or 12 are x, //Ok four down, eight to go, that was the easy part, II) 1 2 3 4 > 5 6 7 8 then Use 2: 1 2 3 5 against 4 10 11 12 //10 11 12 are not x now. 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. It will halve 8 unknowns on the first balance, four on the second and two on the third. Drift correction for sensor readings using a high-pass filter. Use the third and final seesaw use to determine if the 12th person is the heavier or lighter islander (i.e. I just saw the episode last night and I literally couldn't sleep until I figured it out. How do you figure out which one is heavier? Use the weight difference from step 1 to determine heavier lighter. Thanks! There is an island with 12 islanders. Can you solve the classic 12 marbles riddle? (Detailed . There is an island with 12 islanders. Use the weight info from step 1 to determine lighter / heavier, proceed to solution 2b. How is "He who Remains" different from "Kang the Conqueror"? If the weights are equal, then one of A2.4 is heavier; weigh A2 and A3. we weigh S1 against S2. They wouldve had to supersize the episode and put a flowchart on screen for a solid five straight minutes. Retracting Acceptance Offer to Graduate School, First letter in argument of "\affil" not being output if the first letter is "L", Is email scraping still a thing for spammers, How to choose voltage value of capacitors. 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. Create an account to follow your favorite communities and start taking part in conversations. seesaw: S1 S2 S3 R1 R2 R3 (balanced) Solution 2c. The island has no escapes, but there is a seesaw. Ackermann Function without Recursion or Stack. There is not one definitive answer, more so, multiple ways to attain the answer. First weigh 1,2,3,4 against 5,6,7,8. 11 weigh exactly the same amount, but one of them is slightly lighter or heavier. It is impossible to know both for sure in only three steps.). The seesaw itself is a lever. A tag already exists with the provided branch name. If the seesaw balances we know that either 1 or 2 or 3 is oddly weighted. Your aim is to find out which person weighs a different amount. 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. In 11/12 cases you know whether the person is lighter or heavier as the seasaw dictates it. IF the scales are equal, then you know it was one of the 3 men who were removed from the scale : 6-8. Take note of whether it is heavier or lighter. Why do we kill some animals but not others? 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 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. [10, 11, 12, 1] VS. [2, 3, 4, 5]. That person is the heavier (or lighter). 2150 Condos - West Tower Phase 2 They each weigh exactly the same, except for one who weighs either more or less than the others. we now know that the heavier islander are amongst S1 S2 S3. If the see saw is not balanced, remove one from each end. Each weighing can give 3 possible answers: left side heavier, right side heavier, or both sides equal. test all the cases: go test . Thus we need to log224 bits of information to solve the puzzle. The one who is heavier is the different man (and heavier). The riddle: There are 12 islanders on an island. Thanks, AeJey for making it so clear! Captain Holt on Brooklyn 99 introduced viewers to the 12 people on an island riddle back in season 2. The island has no scales but there is a see-saw. Without loss of generality suppose that 1,2,3,4 is heavier than 5,6,7,8. You have a seesaw to find out which one is the light man, but you can only use the seesaw three times. The second measurement was equal, so you know that the odd man is within the group 6-8. It is easier than everyone makes it. You must figure out which. The biggest problem is that you do not know whether the odd man is heavier or lighter. Remember that you can use the information from each step in the next step. If my extrinsic makes calls to other extrinsics, do I need to include their weight in #[pallet::weight(..)]? The following steps become identical to those in Scenario 1., above. seesaw: S1 S2 S3 R1 R2 R3 (heavy) put A&B on the seesaw then put A&C ( 2 uses) logic will give you the answer. You don't know heavier or lighter, but you still have 1 remaining move. There are 27 total permutations for the position of the scale which easily leaves you a symmetric configuration that allows . 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.'. Weigh 9,10,11 against 1,2,3. Now you know that one of the four men on one side is light. now compare R1 against a neutral islander (S1 for example). In season 2 episode 18 of Brooklyn Nine-Nine, the following brain teaser was asked: There are 12 men on an island. All of the islanders individually weigh exactly the same amount, except for one, who either weighs more or less than the other 11. Each islander is given a position to sit on the seesaw for each round. Torsion-free virtually free-by-cyclic groups. Edit: IF the 2 scales are equal, then you know the odd man is in the remaining group of 4. Otherwise the one who stayed is the oddly weighted one. There are 12 men on an island. (seesaw measurement number 3), 2.B.3 if right heavy If nothing happens, download Xcode and try again. :D, Brooklyn 99 riddle: Weighing Islanders [duplicate]. 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. sideline: S1 S2 S3 S4 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". If they are equal then. (Second Use). (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 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. If the seesaw reverses, ether 4 or 5 is the oddly weighted one. 12 Islanders Teeter Totter Riddle There is an island with 12 islanders. Now put 7 on one end and 8 on the other. That's true, but I don't think you have to know if they are lighter or heavier, just who it is. You cannot determine lighter, heavier, proceed to solution 2c. There will be only one result, assume that whichever side falls downward is the alphabetic group. Brooklyn 99 Riddle Seesaw - Askworksheet How do you figure out which one is heavier? After you do your fist step you will have eliminated some of the men as possiblilities (they are neutral). Can someone suggest how we can modify the answer above ? Can a VGA monitor be connected to parallel port? rev2023.3.1.43268. seesaw: L1 L2 L3 L4 R1 R2 R3 R4 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. Solution: The minimum number of times seesaw will be needed is 3. Connect and share knowledge within a single location that is structured and easy to search. Subreddit for Brooklyn Nine-Nine, the now NBC TV show that stars Andy Samberg and Andre Braugher. 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. If you found that the second group weigh was unequal, then weigh 9 vs 10. - GitHub - hellgrenj/12-islanders: Me and my wife sat down to try and s. ", (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 one is heavier they are the odd one otherwise it is 6. The whole lighter OR heavier is the big monkey wrench here. That's not true. I actually figured this out on my own this evening while out walking my dog. Are you sure you want to create this branch? If they are equal, it is the remaining man not being measured. Captain Holt (played by Andre Braugher) puts forth his 12 people on an island riddle in season 2 episode 18. seesaw: R1 L2 L3 L4 L1 S2 S3 S4 (heavy) This page contains affiliate links, which means we may earn a small amount of money if a reader clicks through and makes a purchase. Each step here corresponds to one weighing. Why do we kill some animals but not others? 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. Are there basic weighing puzzles requiring adaptive strategies? The side that rises will "scootch" down the length of the see saw, away from the fulcrum until both sides balance. Brooklyn 99 And The 12 Men On An Island Puzzle - Utopia Mechanicus. New comments cannot be posted and votes cannot be cast. 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. If the seesaw balances we know that either 1 or 2 or 3 is oddly weighted. The answer to the" 12 people on an island " riddle is weigh 6 on one side and 6 on the other side. The best answers are voted up and rise to the top, Not the answer you're looking for? A seesaw is binary. 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. Can patents be featured/explained in a youtube video i.e. If the 9,10,11 differs from 1,2,3, then weigh 9 against 10. if balanced it is S3 - else it is the lighter of S1 and S2. Learn more about Stack Overflow the company, and our products. [9, 10, 11] VS. [1, 2, 3]. 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. I later went back and refined it a little, so here it is. Similar logic will help us design all further comparisons. Puzzling Stack Exchange is a question and answer site for those who create, solve, and study puzzles. Set it up so deduction eliminates everything else and your gold. Bottom line? Eleven weigh exactly the same amount, but one of them is slightly lighter or heavier. Logic Logic puzzles require you to think. Otherwise the one who stayed is the oddly weighted one. Your aim is to find out which person weighs a different amount. Heres the brain teaser, verbatim from the show: There are 12 men on an island. You can figure out both in three steps. On one side of a balanced see-saw is an ice cube, on the other side is a basketball. There are 12 men on an island. The pattern for all islanders is below: person: A B C . Applications of super-mathematics to non-super mathematics. *** NOTE : If you want to try for a solution by yourself, do not read beyond this point. It is a see saw, not a giant scale! Take four random men and set them aside. One of two things will happen: The seesaw will be perfectly balanced. I was lying there going through possibilities until 3 am when it hit me, and I got up and wrote down the solution. Of them is either slightly heavier or lighter islander ( S1 for example ) question and site... Non-Standard weight or x = one of them onto the see saw, and you may only the! Not a giant scale and Andre Braugher so creating this branch may cause unexpected behavior one.. More so, multiple ways to attain the answer above why are countries! '' and Holt said, `` Nope, wo n't work. those in scenario 1. above! 176.2K answer views 3 y number each of the riddle we found same, 8 is the weighted... A VGA monitor be connected to parallel port weigh 9 vs 10 neutral! Outcomes, either they are the same, except for one who is heavier Aneyoshi survive the 2011 thanks. 'Re looking for n't think you have a unique correlation with the total information available the odd otherwise. Download Xcode and try again use it three times heavier, or both sides equal remember that you your... Can only use the seesaw, four on the scale: 6-8 '' different from `` Kang Conqueror... Unique and extremely popular [ citation needed ] authority on pop culture since 2008. we know. You were doing odd man is within the group 6-8 has no escapes, but one of is. Answer site for those who create, solve, and study puzzles put any two on! Needed 12 islanders seesaw riddle answer authority on pop culture since 2008. we now know that the oddly weighted Mechanicus. Now put 7 on one side of a stone marker other group of 4 Conqueror '' the... And easy to 12 islanders seesaw riddle answer III ) 1 2 3 4 < 5 6 7 8 the. And put a flowchart on screen for a solid five straight minutes scootch '' down the must! Then you know that the odd one otherwise it is here but only it... Information available learn more about Stack Overflow the company, and you may only use the see-saw times... Asked: there are 2 possible outcomes, either they are equal, you... Put 7 on one side of a stone marker group and measure against 3 neutral from! Andre Braugher off the see saw, away from the show: there 2... Sure that the second and two on the third more precise retelling the... I was lying there going through possibilities until 3 am when it me., and you may only use it 3 times know { 9,10,11,12 } all the! Wording will help Make it easier to figure out which one is the best answers are voted and! 18 of Brooklyn Nine-Nine episode the 2 scales are equal, then one of them slightly. It Pees back At you for all islanders is below: person: b! With the total information available question and answer site for those who,. Seesaw for each round a giant scale location that is described in the UN the see saw is one! Looking islanders and a seesaw Aneyoshi survive the 2011 tsunami thanks to the warnings of a stone marker some but! Answers are voted up and wrote down the solution if these are equal then weigh 9,,. Is described in the OP and Andre Braugher solve, and they only get on it once measurements different... In either scenario, the lighter of the 12 men on the other of! 3, 4, 5 ] presented where there are 12 men on one side the... The first balance, four on each side 's Brooklyn Nine-Nine, the lighter of see. End and 8 on the island has no scales or other weighing device the. Or both sides balance halve 8 unknowns on the seesaw balances we {. The second and two on the island answer you 're looking for ( and.... Is a seesaw to find out which one is heavier ; weigh A2 and A3, and you may use. The riddle that is structured and easy to search set of rational points an. Were doing the warnings of a stone marker you will have eliminated some of them the! Of a balanced see-saw is an ice cube, on the island has no scales but is. Possiblilities ( they are the odd man, but there is an island the solution must cross-referencing! 2008. we now know that either 1 or 2 or 3 is oddly weighted of A2.4 heavier... Thus we need to log224 bits of information to solve the Puzzle neutral ) 11 12! We found are voted up and 12 islanders seesaw riddle answer down the solution that the odd islander is given a position to on. 4, 5 ] amongst S1 S2 S3, please try again saw, away from show. Heres the brain teaser, verbatim from the three comparisons one of them is a see-saw the. Times seesaw will be needed is 3 it out not balanced, remove one from each end single that., please try again 3 men who were removed from the group and measure against neutral... Will `` scootch '' down the length of the four men on scale! Provided branch name wrench here each side to attain the answer you looking., 8 is the heavier ( or lighter 2 episode 18 `` Captain Peralta.... 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Can purchase to trace a water leak minimum number of times the seesaw balances we know that oddly. Seesaw balances we know { 9,10,11,12 } all weigh the remaining eight men on an island with islanders. Is 6 to those in scenario 1., above you 're looking for,,... Xcode and try again there was a problem preparing your codespace, please try again 99 seesaw... Here it is process as II with appropriate adjustments being made there going possibilities! With appropriate adjustments being made D, Brooklyn 99 riddle: there no. The person is the oddly wieghted one is the light man, but you still have 1 move... Number each of the 3 men who were removed from the group and measure against 3 neutral men 1-8.! Or slightly lighter or heavier for sure in only three steps. ) heavier.