One problem - you have to figure out which person it is too. 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. Can a VGA monitor be connected to parallel port? If the seesaw is evenly balanced, then the odd one out is in group 3 or group 4. 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. Eleven weigh exactly the same amount, but one of them is slightly lighter or heavier. Number the men 1,2,312. Can you solve the classic 12 marbles riddle? You can only use it three times.. seesaw: L1 L2 L3 L4 R1 R2 R3 R4 There is an island with 12 islanders. (Third Use) If the seesaw balances we know that either 1 or 2 or 3 is oddly weighted. 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. Each weighing can give 3 possible answers: left side heavier, right side heavier, or both sides equal. Now you know that one of the four men on one side is light. Famous Quotes Rewritten to Make Them More Retweetable, Hey Sam, If You Pee on This Wall, It Pees Back At You. You have to figure out which Islander is the heaviest using a seesaw. The most simple solution is to arrange the people on the scale so that they have a unique correlation with the total information available. 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. Puzzling Stack Exchange is a question and answer site for those who create, solve, and study puzzles. A Puzzle is presented where there are twelve identical looking islanders and a seesaw. The best answers are voted up and rise to the top, Not the answer you're looking for? Just forget about them for a few minutes. Connect and share knowledge within a single location that is structured and easy to search. What are some tools or methods I can purchase to trace a water leak? 2: Place the man from your pair who was on the lower end of the see-saw . Death by roo roo. It is impossible to know both for sure in only three steps." There you have it, no islanders ever get off the see saw, and they just get on it once. If these are equal, the different man is 12. Logic Logic puzzles require you to think. All of these men weigh exactly 11 weigh exactly the same amount, but one of them is slightly lighter or heavier. 11 of them weigh the same and one of them is either slightly The seesaw itself is a lever. Number the men from 1 to 12. You must figure out which. 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 they are equal then it is the one not being measured and he is heavier. Similar logic will help us design all further comparisons. 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. You can weigh three combinations of men on the see-saw. Use 1 - Place both groups on opposing sides of the fulcrum, evenly spaced along the lever. Its similar to a puzzle about pool balls I put in my math brain teasers list a few years back but way harder. Start off by weighing 4 against 4, setting the other 4 aside completely. If they are the same, 7 is different (and lighter). There are 2 possible outcomes, either they are equal, or unequal. Thanks! And there's another twist: you're only allowed to use the see-saw three times. Remember that you can use the information from each step in the next step. PTIJ Should we be afraid of Artificial Intelligence? rev2023.3.1.43268. Use 2 - Remove six(6) men from the see-saw, three(3) from both groups. A seesaw is binary. There is a seesaw to determine who is the odd one out. The island has no escapes, but there is a seesaw. That person is the heavier (or lighter). Now we know that the different man is among {9,10,11,12}. Me and my wife sat down to try and solve the "12 islanders riddle" from Brooklyn Nine Nine, this is our solution. sorry my bad. THIS TIP WILL GIVE AWAY THE MAIN SECRET : Instead of just breaking the men up into groups and comparing those groups against each other, you can shift them from one side of the see saw to the other side. 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. A standard see-saw must be used and only three times. sideline: S1 R2 R3 R4, we know that the light islander is amongst R2 R3 R4 are patent descriptions/images in public domain? Problem solved. 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. After spending some time with it (and finally solving it), I get why they didnt give an answer. Jordan's line about intimate parties in The Great Gatsby? Are you sure you want to create this branch? If the see saw is not balanced, remove one from each end. Applications of super-mathematics to non-super mathematics. Take 3 men from the group and measure against 3 neutral men from 1-8. If they are equal then. If this happens, then you know that the light man is amongst the four men you set aside earlier. 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). (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 9,10,11 differs from 1,2,3, then weigh 9 against 10. 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. 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. 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 ). Try that and see where it takes you. How is "He who Remains" different from "Kang the Conqueror"? You signed in with another tab or window. Brooklyn Nine-Nine Riddle: Weighing Islanders [duplicate], Brooklyn 99 riddle: Weighing Islanders [duplicate], puzzling.stackexchange.com/questions/9979/, puzzling.stackexchange.com/questions/183/. 1 v 12). How do you do it? Thus in principle we can get log227 bits from the three comparisons. At this point we just weight S4 against a You can only use it three times. The most simple solution is to arrange the people on the scale so that they have a unique correlation with the total information available. If the see-saw balanced, the one of the unknown four just removed was the oddly weighted one. (First Use). In other news,did Pete Davidson tattoo a kid? 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. I just saw the episode last night and I literally couldn't sleep until I figured it out. (Second Use), If the see saw balances, remove all but one from the seesaw and put one of the remaining two opposite them. Split the men into 3 groups of 4 and weigh 2 groups against each other [1, 2, 3, 4] VS. [5, 6, 7, 8]. [9, 10, 11] VS. [1, 2, 3]. Without loss of generality suppose that 1,2,3,4 is heavier than 5,6,7,8. Edit: The island has no scales but there is a see-saw. Take four random men and set them aside. First weigh 1,2,3,4 against 5,6,7,8. And if they are also equal then that would mean that the 12th person weighs different. Proceed to solution 1a. Learn more about Stack Overflow the company, and our products. 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. 42 votes, 14 comments. (We could always relabel the men so that this is true). Captain Holt (played by Andre Braugher) puts forth his 12 people on an island riddle in season 2 episode 18. note this works equally well if the group was heavier, just replace terms for appropriate identification. rev2023.3.1.43268. 11 of them weigh the same and one of them is either slightly heavier or slightly 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. Connect and share knowledge within a single location that is structured and easy to search. The seesaw will balance perfectly. Lift student learning and family engagement to new heights with multimodal learning tools, intuitive messaging, and research-based curriculum. 11 weigh exactly the same, but one of them is slightly lighter or heavier. On further reflection there are three outcomes, since the seesaw can be balanced, or heavier on the left or right. Create an account to follow your favorite communities and start taking part in conversations. Thanks, AeJey for making it so clear! (Detailed . 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. ", (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. note this works equally well if the group was lighter, just replace terms for appropriate identification. 12 Islanders Teeter Totter Riddle There is an island with 12 islanders. IF the scale is unequal, then you know the odd man is within the group 8-11. There are 24 possible situations (the different man can be any of 1-12, and he can be heavier or lighter). You have to figure out which Islander is the heaviest using a seesaw. The see saw is not balanced, Remove one from each end use ) the... Line about intimate parties in the next step both groups on opposing sides the! Suppose that 1,2,3,4 is heavier right side heavier, right side heavier, right heavier! ( the different man is within the group and measure against 3 neutral men from see-saw! 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