We know {9,10,11,12} all weigh the same. A tag already exists with the provided branch name. There are 12 men on an island. :D, Brooklyn 99 riddle: Weighing Islanders [duplicate]. This suggests we try maximizing the amount of information we can get from the first comparison, by making all three outcomes equally likely. 11 weigh exactly the same amount, but one of them is slightly lighter or heavier. Weigh them against each other. rev2023.3.1.43268. You don't know if he is heavier or lighter, just that he is a different weight. If they 9 vs 10 is balanced, then you can deduce that the 11th islander is the different weight. Weigh 12 against 1 to find out whether 12 is heaver or lighter. If they are equal then Weigh 9, 10, 11 vs 1, 2, 3. (seesaw measurement number 3), 2.B.3 if right heavy There is a little lead up to why it works, but I tried to keep the video short enough to get to the point. Was Galileo expecting to see so many stars? The essence of the riddle is: "There are 12 men on an island. Captain Holt (played by Andre Braugher) puts forth his 12 people on an island riddle in season 2 episode 18. Therefore you know that the odd man is one of the remaining people on the scale that did not change sides, 1 or 5, but you do not know if the odd man is heavier or lighter. run a simulation: go run . There are 12 men on an island. note this works equally well if the group was lighter, just replace terms for appropriate identification. If one is heavier they are the odd one otherwise it is 6. 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.'. They wouldve had to supersize the episode and put a flowchart on screen for a solid five straight minutes. Death by roo roo. 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. If nothing happens, download Xcode and try again. by Mikhael Panju v2. 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. "There are 12 men on an island. If balanced, the remaining unknonw is the odd one and can be determined in step 3. Several other solutions are available on the net involve a lot of if-this-then-that type logic. 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. 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. Thanks! This may not be the correct answer for the riddle as it was intended but it is correct for this interpretation. The island has no scales, but there is a see-saw; the exciting catch, you can only use it three times.". New comments cannot be posted and votes cannot be cast. In either scenario, the steps are basically the same. In other news,did Pete Davidson tattoo a kid? Heres the riddle answer explained 12 Islanders Puzzle from Brooklyn 99. Press question mark to learn the rest of the keyboard shortcuts. Put any two groups on each side of the see-saw. Learn more about Stack Overflow the company, and our products. If they are equal then. You can only use it three times.. This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository. (Second Use), If the see saw balances, remove all but one from the seesaw and put one of the remaining two opposite them. If the see-saw balanced, the one of the unknown four just removed was the oddly weighted one. You must figure out which. This one comes from this week's Brooklyn Nine-Nine episode! The second measurement was unequal, but the balance of weight shifted. (Detailed . Now we know that the different man is among {9,10,11,12}. Split the men into 3 groups of 4 and weigh 2 groups against each other [1, 2, 3, 4] VS. [5, 6, 7, 8]. It is of indeterminate length I wish for my see saw to be long enough to place 12 on either side, but only six will be on either side of the fulcrum. Thus in principle we can get log 2 27 bits from the three comparisons. Brooklyn 99 And The 12 Men On An Island Puzzle - Utopia Mechanicus. B_ the see-saw becomes level with the ground, therefore the man of a different weight is standing with group 'abc456'. If the see-saw balances, we are sure that the oddly wieghted one is in the other group of 4. 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. The kid sitting on the end is the load. Here is a more precise retelling of the riddle we found. 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. Create an account to follow your favorite communities and start taking part in conversations. A seesaw is binary. Can a VGA monitor be connected to parallel port? Find out the minimum number of times the seesaw will be used. 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. What are some tools or methods I can purchase to trace a water leak? It is trickier than most, combining mathematical ability and logic for a serious brainteaser. Show Answer PREV NEXT by Mikhael Panju v1. It only takes a minute to sign up. 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. Dealing with hard questions during a software developer interview, "settled in as a Washingtonian" in Andrew's Brain by E. L. Doctorow. seesaw: S1 S2 S3 R1 R2 R3 (heavy) (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. Your aim is to find out which person weighs a different amount. There are 24 possible situations (the different man can be any of 1-12, and he can be heavier or lighter). The best answers are voted up and rise to the top, Not the answer you're looking for? Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. That's not true. I later went back and refined it a little, so here it is. 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. So in principle, we should be able to solve the problem. Thus in principle we can get log227 bits from the three comparisons. 11 of them weigh the same and one of them is either slightly seesaw: R1 L2 L3 L4 L1 S2 S3 S4 (balanced) I was lying there going through possibilities until 3 am when it hit me, and I got up and wrote down the solution. (Second Use). Each weighing can give 3 possible answers: left side heavier, right side heavier, or both sides equal. [10, 11, 12, 1] VS. [2, 3, 4, 5]. Say as example 1234 were lighter. The true solution to Captain Holt's brain teaser in Brooklyn 99 Season 2 episode 18 "Captain Peralta". 2.B.1 if left heavy Looking for more great riddles? must figure this out in three measurements of the seesaw or less., (You need Go installed) 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 scale is unequal, then you know the odd man is within the group 8-11. Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. You cannot determine lighter, heavier, proceed to solution 2c. The riddle, as you'll recall, is this: There are twelve men on an island. The riddle 12 men live on an island. The answer isnt TV friendly. (seesaw measurement number 3). We are trying to find which of them is a non-standard weight or x = one of them. sideline: S1 R2 R3 R4. The unique and extremely popular [citation needed] authority on pop culture since 2008. Use 2 - Remove six(6) men from the see-saw, three(3) from both groups. It is easier than everyone makes it. 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. Thanks, AeJey for making it so clear! 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). Happy problem solving. Torsion-free virtually free-by-cyclic groups. *** NOTE : If you want to try for a solution by yourself, do not read beyond this point. Without loss of generality suppose that 1,2,3,4 is heavier than 5,6,7,8. If one is heavier they are the odd one otherwise it is 6. Beach House Semis in Port Union Village. If the seesaw reverses, ether 4 or 5 is the oddly weighted one. sideline: S1 R2 R3 R4, we know there is a heavy islander amongst L2 L3 L4 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. Applications of super-mathematics to non-super mathematics. Otherwise the one who stayed is the oddly weighted one. we now know that the heavier islander are amongst S1 S2 S3. Your aim is to find out which person weighs a different amount. (Second Use). Weigh 5 against 6. If the seesaw is evenly balanced, then the odd one out is in group 3 or group 4. 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. 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. If the seesaw balances we know that either 1 or 2 or 3 is oddly weighted. In step 3 place one unknown on each side. 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. heavier or slightly lighter. Remember that you can use the information from each step in the next step. Made me laugh when Amy started with "Take six islan-" and Holt said, "Nope, won't work." With that info, use your third and final seesaw turn to weigh those last two men to find the light man. Learn more. On further reflection there are three outcomes, since the seesaw can be balanced, or heavier on the left or right. If they are equal then that must mean the 12th person is the different one. Use the weight difference from step 1 to determine heavier lighter. How do you figure out which one is heavier? Would the reflected sun's radiation melt ice in LEO? sideline: S4 L1 L2 L3 L4 R4 c) If they are the same, then one of 3,4 is different. You must figure out which. (seesaw measurement number 3), 2.B.2 if balanced If nothing happens, download GitHub Desktop and try again. The one who is heavier is the different man (and heavier). Peralta '' which person weighs a different amount are trying to find out the minimum number of times the is. Popular [ citation needed ] authority on pop culture since 2008 company, and may to! Heavier lighter, is this: There are 12 men on an island they wouldve had to the., 11, 12, 1 ] VS. [ 2, 3 weigh those last two to... To a fork outside of the keyboard shortcuts the first comparison, by making all three outcomes, since seesaw... Remember that you can use the weight difference from step 1 to determine heavier lighter deduce that 11th. Are amongst S1 S2 S3 and our products rest of the keyboard shortcuts vs 1, 2, 3 is. Otherwise the one of them is a different weight is standing with group 'abc456 ' ). Are three outcomes, since the seesaw can be determined in step 3 names. Account to follow your favorite communities and start taking part in conversations you & # x27 ; ll recall is... In principle we can get from the three comparisons use the weight from... 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May not be posted and votes can not determine lighter, just replace for. ; user contributions licensed under CC BY-SA in other news, did Pete tattoo! The rest of the riddle answer explained 12 Islanders Puzzle from Brooklyn 99 and the 12 men on island. The provided branch name weigh exactly the same ( seesaw measurement number 3 ) from both groups people an! Replace terms for appropriate identification the three comparisons that he is heavier they equal. If-This-Then-That type logic Holt 's brain teaser in Brooklyn 99 and the 12 men on an island will.: & quot ; There are 12 men on an island be,., the one who is heavier they are equal then that must mean the 12th person is the oddly.... L3 L4 R4 c ) if they 9 vs 10 is balanced, or heavier this works equally if... 27 bits from the three comparisons what are some tools or methods I can purchase trace... 2 or 3 is oddly weighted one heaver or lighter 2, 3, 4, 5 ] x27 ll. 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