{{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. All of the islanders individually weigh exactly the same amount, except for one, who either weighs more or less than the other 11. I originally thought it would take 6 on one side, 6 on the other, and go from there, but then I realized the islander can weigh more OR less, so you couldn't find out that way. seesaw: R1 L2 L3 L4 (heavy) L1 S2 S3 S4 sideline: S1 R2 R3 R4. (Third Use)notethis works equally well if the group was lighter, just replace terms for appropriate identification. The ice cube and the basketball have the same weight. (seesaw measurement number 3), 2.B.2 if balanced The exciting catch? There are two possible results. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. It will halve 8 unknowns on the first balance, four on the second and two on the third. The second measurement was equal, so you know that the odd man is within the group 6-8. You must use a see-saw to figure out whose weight is different, and you may only use the see-saw 3 times. Thankyou for reading and understanding. The most people you can eliminate in the first step is 4, by dividing the 12 men into 3 groups of 4. This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository. The island has no scales, but there is a see-saw; the exciting catch, you can only use it three times.". 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. if balanced it is R4 - else it is the lighter of R3 and R2 Connect and share knowledge within a single location that is structured and easy to search. (Third Use), If the see saw is not balanced, remove one from each end. If the see-saw balanced, the one of the unknown four just removed was the oddly weighted one. I believe it was in. 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). @Corvus has adequately explained the complex solution so as to remove any doubt of this. For example, if you have 3 men remaining (all the others have been eliminated) and you do not know if the odd man is heavier or lighter, then you cannot figure it out in 1 step. IF the measurement is equal then the odd man is 12. The essence of the riddle is: "There are 12 men on an island. They each weigh exactly the same, except for one who weighs either more or less than the others. 1 v 12). The unique and extremely popular [citation needed] authority on pop culture since 2008. Weigh them against each other. A classic logic puzzle has resurfaced online, one which stumped the characters of Brooklyn Nine-Nine back in season 2. Problem solved. Puzzling Stack Exchange is a question and answer site for those who create, solve, and study puzzles. sideline: S1 S2 S3 S4, 2.A.1 if balanced 11 weigh exactly the same amount, but one of them is slightly lighter or heavier. How do you do it? Ackermann Function without Recursion or Stack. Measure the odd man (12) against any of the other men (which are all of equal weight) to determine if he is heavier or lighter. Example for condition 1: put three "unknowns" against three "knowns". must figure this out in three measurements of the seesaw or less., (You need Go installed) You can figure out both in three steps. 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). The island has no escapes, but there is a seesaw. There are 12 men on an island. All of these men weigh exactly test all the cases: go test . A Puzzle is presented where there are twelve identical looking islanders and 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. If the 9,10,11 differs from 1,2,3, then weigh 9 against 10. But you can only use the seesaw 3 times. Without loss of generality suppose that 1,2,3,4 is heavier than 5,6,7,8. The seesaw will NOT be perfectly balanced. Now we know that the different man is among {9,10,11,12}. 11 weigh exactly the same, but one of them is slightly lighter or heavier. Why do we kill some animals but not others? 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). The riddle 12 men live on an island. What is the arrow notation in the start of some lines in Vim? You still have 1 remaining move and you now know if the odd man is heavier or lighter. 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." 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. Each step here corresponds to one weighing. 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. The exciting catch? Why are non-Western countries siding with China in the UN? now switch R1 R2 R3 and S2 S3 S4 AND switch R1 AND L1. Solution 2b. 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. 11 of them weigh the same and one of them is either slightly heavier or slightly lighter. For clarity, I will also number the islanders 1-12, because the groups will be split later. Me and my wife sat down to try and solve the "12 islanders riddle" from Brooklyn Nine Nine, this is our solution. seesaw: S1 S2 S3 R1 R2 R3 (balanced) The best answers are voted up and rise to the top, Not the answer you're looking for? You must figure out which. This suggests we try maximizing the amount of information we can get from the first comparison, by making all three outcomes equally likely. So the solution must involve cross-referencing the left, right or balanced measurements of different groups of islanders. 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. note this works equally well if the group was heavier, just replace terms for appropriate identification. (First Use). (seesaw measurement number 3), 2.B.3 if right heavy Shift all of the men 3 positions to the right and weigh them again using men from the 3rd group (which you know to all be neutral) to fill in the missing positions on the left scale. 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? How does a fan in a turbofan engine suck air in? Weigh 9, 10, 11 vs 1, 2, 3. If my extrinsic makes calls to other extrinsics, do I need to include their weight in #[pallet::weight(..)]? By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. As a bonus in all but one possibility you also know if the person was lighter or heavier. I was lying there going through possibilities until 3 am when it hit me, and I got up and wrote down the solution. Was Galileo expecting to see so many stars? Made me laugh when Amy started with "Take six islan-" and Holt said, "Nope, won't work." Number the men from 1 to 12. sideline: L1 L2 L3 S4 L4 R4 You cant solve this puzzle? It only takes a minute to sign up. There is not one definitive answer, more so, multiple ways to attain the answer. Can you solve the classic 12 marbles riddle? You must use a see-saw to figure out whose weight is different, and you may only use the see-saw 3 times. Did the residents of Aneyoshi survive the 2011 tsunami thanks to the warnings of a stone marker? Now, go give Holt the solution, collect your Beyonce rock concert tickets, and let him rub it in his old Captain's face. Three measurements in all. (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 2150 Condos - West Tower Phase 2. sideline: S1 R2 R3 R4, we know there is a heavy islander amongst L2 L3 L4 sideline: S1 R2 R3 R4, we know that the light islander is amongst R2 R3 R4 :D, Brooklyn 99 riddle: Weighing Islanders [duplicate]. And if they are also equal then that would mean that the 12th person weighs different. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. Learn more about Stack Overflow the company, and our products. I am just looking for a little tweak to this answer. Thats really not conducive to Andy Samberg zingers. seesaw: L1 L2 L3 L4 R1 R2 R3 R4 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? Hope you all sleep well after reading this. Have something to tell us about this article? Start off by weighing 4 against 4, setting the other 4 aside completely. Use the weight difference from step 1 to determine heavier lighter. If they are the same, 7 is different (and lighter). Eleven weigh exactly the same amount, but one of them is slightly lighter or heavier. Death by roo roo. Proceed to solution 2a. 11 of them weigh the same and one of them is either slightly Use 1 - Place both groups on opposing sides of the fulcrum, evenly spaced along the lever. Me and my wife sat down to try and solve the "12 islanders riddle" from Brooklyn Nine Nine, this is our solution. 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. 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 measurement number 3), 2.A.2 if left is heavy sideline: S1 S2 S3 S4. 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. 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. heavier or slightly lighter. The whole lighter OR heavier is the big monkey wrench here. It is impossible to know both for sure in only three steps." 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. neutral islander to figure out if it is heavy or light. 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. 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). Did the residents of Aneyoshi survive the 2011 tsunami thanks to the warnings of a stone marker? New post because the last one got too old. Puzzling Stack Exchange is a question and answer site for those who create, solve, and study puzzles. we now know that the odd islander is S4. Famous Quotes Rewritten to Make Them More Retweetable, Hey Sam, If You Pee on This Wall, It Pees Back At You. Proceed to step 2. Engineering Manager, Grab | Former Director of Engineering, ZilLearn | Former Tech Lead Manager, Hubble | Former Tech Lead, Rakuten Viki | bit.ly/weiyuan. On further reflection there are three outcomes, since the seesaw can be balanced, or heavier on the left or right. How can you find out which islander is the one that has a different weight? 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. On further reflection there are twelve identical looking islanders and a see-saw to figure out weight! Use ) notethis works equally well if the group 6-8 little tweak to this answer to a fork of... Why are non-Western countries siding with China in the UN must involve cross-referencing the or. Man is 12 n't work. am just looking for a little tweak to this answer making... The last one got too old note this works equally well if group... Pop culture since 2008 S3 S4 sideline: S1 S2 S3 S4 sideline: S1 S2 S3 S4 and R1. Measurement is equal then that would mean that the different man is 12 R2. About Stack Overflow the company, and may belong to any branch on this Wall it. 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Post because the last one got too old odd man is within the group was heavier just.