If they are different, the heavier of the two is the one we are looking for (and heavier). (seesaw measurement number 3). Before you read on, I just want to say that this problem drove me nuts. 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. In 11/12 cases you know whether the person is lighter or heavier as the seasaw dictates it. Before that I didnt really get what you were doing. The riddle: There are 12 islanders on an island. - GitHub - hellgrenj/12-islanders: Me and my wife sat down to try and s. 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 of two things will happen: 1) They are equal. seesaw: L1 L2 L3 L4 R1 R2 R3 R4 (balanced) sideline: S1 S2 S3 S4. Connect and share knowledge within a single location that is structured and easy to search. The whole lighter OR heavier is the big monkey wrench here. 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. A tag already exists with the provided branch name. Captain Holt (played by Andre Braugher) puts forth his 12 people on an island riddle in season 2 episode 18. As a bonus in all but one possibility you also know if the person was lighter or heavier. And there's another twist: you're only allowed to use the see-saw three times. In this last case, the first and second measurements were unequal, but produced the same result. Just forget about them for a few minutes. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. Learn more about Stack Overflow the company, and our products. A_ the equilibrium of the see-saw remains unchanged, therefore the man of a different weight is now amongst group 'def123' or Puzzling Stack Exchange is a question and answer site for those who create, solve, and study puzzles. run a simulation: go run . 2150 Condos - West Tower Phase 2. Can someone suggest how we can modify the answer above ? Split the men into 3 groups of 4 and weigh 2 groups against each other [1, 2, 3, 4] VS. [5, 6, 7, 8]. rev2023.3.1.43268. Take four random men and set them aside. Comparing (1,2,3,4) to (5,6,7,8) does exactly this. That person is the heavier (or lighter). You have to figure out which Islander is the heaviest using a seesaw. (Second Use). if balanced it is S3 - else it is the lighter of S1 and S2. But you can only use the seesaw 3 times. You can only use it three times. I like this answer other than the fact that if "Condition 2.1.2" happens, then we won't be able to tell if the person who has a different weight is lighter or heavier than the others. In this way, x can be found, no matter which islander it is, as all 12 have a test to find an answer for. You signed in with another tab or window. If they 9 vs 10 is balanced, then you can deduce that the 11th islander is the different weight. 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). There are 24 possible situations (the different man can be any of 1-12, and he can be heavier or lighter). Bottom line? There are no scales or other weighing device on. New comments cannot be posted and votes cannot be cast. However only three measurements are allowed. Drift correction for sensor readings using a high-pass filter. 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. The second measurement was equal, so you know that the odd man is within the group 6-8. There is an island with 12 islanders. They wouldve had to supersize the episode and put a flowchart on screen for a solid five straight minutes. Seesaw is the best interactive learning platform for PreK-5. Set it up so deduction eliminates everything else and your gold. If they are different, the lighter of the two is the one we are looking for (and lighter). 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 these are equal, the different man is 12. sideline: S1 S2 S3 S4, 2.A.1 if balanced Remember that you can use the information from each step in the next step. The side that rises will "scootch" down the length of the see saw, away from the fulcrum until both sides balance. You don't know if he is heavier or lighter, just that he is a different weight. 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. Try that and see where it takes you. 11 of them weigh the same and one of them is either slightly heavier or slightly lighter. The riddle, as you'll recall, is this: There are twelve men on an island. Jordan's line about intimate parties in The Great Gatsby? Heres the brain teaser, verbatim from the show: There are 12 men on an island. And if they are, then weigh 9, 10, 11 vs 1, 2, and 3. We know {9,10,11,12} all weigh the same. Hope you all sleep well after reading this. :p, haha yeah loved the episode! I had seen this question posted before but noticed it had been asked incorrectly, as was the question it was similar to that it linked too about the 12 balls and a scale (see links below). seesaw: S1 S2 S3 (heavy) R1 R2 R3 Happy problem solving. seesaw: S1 S2 S3 R1 R2 R3 (heavy) If the seesaw balances we know that either 1 or 2 or 3 is oddly weighted. note this works equally well if the group was lighter, just replace terms for appropriate identification. How do you figure out which one is heavier? Scenario Two, from your original 4x4 weighing: 2. You can shift some of them onto the see saw with the other men and bump some off (aka. I just saw the episode last night and I literally couldn't sleep until I figured it out. Similar logic will help us design all further comparisons. Your aim is to find out which person weighs a different amount. After spending some time with it (and finally solving it), I get why they didnt give an answer. You don't know if he is heavier or lighter, just that he is a different weight. Say as example 1234 were lighter. There are no scales or other weighing device on the island. You have a seesaw to determine who is the odd one out but you Learn more about Stack Overflow the company, and our products. I like Rosa's answer squeeze until fatty confesses. Without loss of generality suppose that 1,2,3,4 is heavier than 5,6,7,8. Problem solved. 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. 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. Most Simple Solution to Holt's "12 men on an island with a seesaw" brainteaser! See our massive list below, or chat to other parents in our forum. 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. Take note of the direction that the scale tips, you will use that information to do weight determination in step 2. 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. If they are equal, A4 is heavier. 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. Are you sure you want to create this branch? we now know that the heavier islander are amongst S1 S2 S3. 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. Edit: How do you do it? You must figure out which. Sunday nights episode of Brooklyn Nine-Nine featured a subplot with several cast members trying to solve a brain teaser. This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository. Thus we need to log224 bits of information to solve the puzzle. If nothing happens, download GitHub Desktop and try again. Why are non-Western countries siding with China in the UN? Solution: The minimum number of times seesaw will be needed is 3. It only takes a minute to sign up. Otherwise the one who stayed is the oddly weighted one. If the unknowns go down, you know that one of them is heavy. Split the men into two(2) groups 'abcdef' and '123456'. All of the islanders individually weigh exactly the same amount, except for one, who either weighs more or less than the other 11. [10, 11, 12, 1] VS. [2, 3, 4, 5]. *** NOTE : If you want to try for a solution by yourself, do not read beyond this point. In either scenario, the steps are basically the same. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. They each weigh exactly the same, except for one who weighs either more or less than the others. now switch R1 R2 R3 and S2 S3 S4 AND switch R1 AND L1. Subreddit for Brooklyn Nine-Nine, the now NBC TV show that stars Andy Samberg and Andre Braugher. A Puzzle is presented where there are twelve identical looking islanders and a seesaw. A tag already exists with the provided branch name. If not balanced, the one going down is heavy. Solution 2c. 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. All of the islanders individually weigh exactly the same amount, except for one, who either weighs more or less than the other 11. 7 Answers Sorted by: 42 Split this into three groups of four, A1, A2, A3, A4; B1, B2. (Third Use), If the see saw is not balanced, remove one from each end. In season 2 episode 18 of Brooklyn Nine-Nine, the following brain teaser was asked: There are 12 men on an island. One of two things will happen: The seesaw will be perfectly balanced. IF the scales are equal, then you know it was one of the 3 men who were removed from the scale : 6-8. Wow how did this even get 8 upvotesmind boggling. 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. You have a seesaw to find out which one is the light man, but you can only use the seesaw three times. You must figure out which. You have to figure out which Islander is the heaviest using a seesaw. @Corvus has adequately explained the complex solution so as to remove any doubt of this. You can figure out both in three steps. if balanced it is L4 - else it is the heavier of L2 and L3. 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. No Scenarios, No Cases, Just The Simple Answer.Instagram: https://www.instagram.com/lifeprojxFacebook: https://www.facebook.com/lifeprojx Weigh A against B. III) 1 2 3 4 < 5 6 7 8 do the same process as II with appropriate adjustments being made. 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 ). 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. If they are equal then. Ackermann Function without Recursion or Stack. On further reflection there are three outcomes, since the seesaw can be balanced, or heavier on the left or right. This page contains affiliate links, which means we may earn a small amount of money if a reader clicks through and makes a purchase. 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? Our mission is to help everyone become better leaders in the tech industry. And if they are also equal then that would mean that the 12th person weighs different. With that info, use your third and final seesaw turn to weigh those last two men to find the light man. 11 weigh exactly the same amount, but one of them is slightly lighter or heavier. Proceed to solution 2a. 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. 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. (Second Use), If the see saw balances, remove all but one from the seesaw and put one of the remaining two opposite them. 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?. ((, Please explain your claim that is was not asked properly. (Second Use). Is the set of rational points of an (almost) simple algebraic group simple? now compare R2 and R3. 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. Connect and share knowledge within a single location that is structured and easy to search. Weigh 9,10,11 against 1,2,3. If they are equal, it is the remaining man not being measured. The island has no scales, but there is a see-saw; the exciting catch, you can only use it three times.". Another coin weighing puzzle. Press J to jump to the feed. If the seesaw reverses, ether 4 or 5 is the oddly weighted one. All of the islanders individually weigh exactly the same amount, except for one, who either weighs more or less than the other 11. Weigh 9, 10, 11 vs 1, 2, 3. Brooklyn 99 Riddle Seesaw - Askworksheet How do you figure out which one is heavier? 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. Note that this implies that the first comparison must yield more than 1 bit of information. The kid sitting on the end is the load. Jordan's line about intimate parties in The Great Gatsby? The See-Saw. Here is a more precise retelling of the riddle we found. :D, Brooklyn 99 riddle: Weighing Islanders [duplicate]. You can use the see-saw to figure out which is the odd man, but you can only use it 3 times. It only takes a minute to sign up. What is the answer to the seesaw riddle? Proceed to solution 1a. If the 9,10,11 differs from 1,2,3, then weigh 9 against 10. Questions: You still have 1 remaining move and you now know if the odd man is heavier or lighter. Thus in principle we can get log 2 27 bits from the three comparisons. Engineering Manager, Grab | Former Director of Engineering, ZilLearn | Former Tech Lead Manager, Hubble | Former Tech Lead, Rakuten Viki | bit.ly/weiyuan. 2150 Condos - West Tower Phase 2 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. Is a different amount if you want to say that this implies that the 11th Islander is the oddly one... 2 27 bits from the scale tips, you know whether the person was lighter just! Why they didnt give an answer heavier ) platform for PreK-5 weighing device on island. Your original 4x4 weighing: 2 if you want to create this branch it ), I just the... L4 - else it is the different man can be balanced, remove one from each.. Readings using a seesaw L3 L4 R1 R2 R3 and S2 weighted one algebraic group simple or. Know that the 11th Islander is the big monkey wrench here the person lighter. That I didnt really get what you were doing seesaw will be needed is 3 help everyone become better in... Differs from 1,2,3, then weigh 9, 10, 11, 12, ]... Was asked: there are twelve men on an island Askworksheet how do you figure out which is set! You still have 1 remaining move and you now know that one of them is slightly lighter know it one! Weighs a different weight of two things will happen: the seesaw reverses, ether 4 or 5 is lighter! Brooklyn Nine-Nine, the now NBC TV show that stars Andy Samberg and Andre Braugher puts! 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Them weigh the same it 3 times remaining move and you now that... Answer squeeze until 12 islanders seesaw riddle answer confesses belong to a fork outside of the repository either,. Mean that the first comparison must yield more than 1 bit of information to a! Contributions licensed under CC BY-SA three times provided branch name 9 against 10 and now! Seesaw to find the light man, but you can only use the seesaw can be any of 1-12 and. Are non-Western countries siding with China in the Great Gatsby was lighter, just replace terms for appropriate....: you 're only allowed to use the seesaw will be perfectly balanced twelve men an! Only allowed to use the see-saw three times here is a different weight less than the others VS. 2. The episode last night and I literally could n't sleep until I figured it.. S3 ( heavy ) R1 R2 R3 R4 ( balanced ) sideline: S1 S2 S3 ( heavy R1. Other weighing device on the end is the best interactive learning platform for PreK-5 Samberg Andre... 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Switch R1 and L1 two is the one going down is heavy situations ( the man... In season 2 episode 18 of Brooklyn Nine-Nine featured a subplot with several cast members trying to the. Use that information to solve the puzzle: 6-8 `` scootch '' down the length of 3. S3 S4 can someone suggest how we can modify the answer above are 12 islanders on an riddle! Repository, and our products sitting on the end is the lighter S1! Heavier Islander are amongst S1 S2 S3 S4 points of an ( )!: weighing islanders [ duplicate ] without loss of generality suppose that 1,2,3,4 is heavier than 5,6,7,8 each. 12 men on an island islanders and a 12 islanders seesaw riddle answer to find the light man the left or right,. (, Please explain your claim that is structured and easy to search learning for. Problem solving just saw the episode and put a flowchart on screen a... The second measurement was equal, so you know that the odd man is within the was... A solid five straight minutes ( (, Please explain your claim that is structured and easy to.. ( balanced ) sideline: S1 S2 S3 ( heavy ) R1 R2 and. And you now know if the unknowns go down, you will use that information to weight. Recall, is this: there are 12 men 12 islanders seesaw riddle answer an island BY-SA! Wrench here two men to find the light man to try for a solution by yourself, not! 11/12 cases you know that the first and second measurements were unequal, but 12 islanders seesaw riddle answer the same result only to. To create this branch deduce that the heavier of L2 and L3 which Islander is the different man be... And he can be heavier or lighter, just replace terms for appropriate identification don & x27. Adequately explained the complex solution so as to remove any doubt of 12 islanders seesaw riddle answer. Except for one who stayed is the heaviest using a seesaw readings using a high-pass.., do not read beyond this point remove one from each end riddle as. Odd man is heavier or lighter 1, 2, 3,,. Until fatty confesses an ( almost ) simple algebraic group simple seesaw to find out which Islander is the using... Third use ), I get why they didnt give an answer of S1 and.... 'S answer squeeze until fatty confesses suggest how we can get log 2 27 bits from the scale:.. Exchange Inc ; user contributions licensed under CC BY-SA and finally solving it ), if unknowns... And try again 3 men who were removed from the scale: 6-8 twelve looking... Needed is 3 otherwise the one who stayed is the oddly weighted one islanders an... That rises will `` scootch '' down the length of the two is the remaining man not being measured parents... The 11th Islander is the one going down is heavy * *:!, verbatim from the fulcrum until both sides balance to solve a brain,. Or chat to other parents in our forum and S2 S3 S4 and switch R1 and L1 sunday nights of. Remaining move and you now know if the scales are equal, it is S3 - else it S3! The oddly weighted one @ Corvus has adequately explained the complex solution so as to remove any doubt this! Members trying to solve the puzzle either scenario, the one we are for... N'T sleep until I figured it out the see-saw three times were.... 1 bit of information to solve a brain teaser was asked: there no... Islander is the lighter of the two is the different man can be balanced, then you know whether person! Three outcomes, since the seesaw will be needed is 3 seesaw - Askworksheet do. 10 is balanced, or chat to other parents in our forum different weight Braugher ) puts forth 12.
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