The seesaw will balance perfectly. Brooklyn 99 Riddle Seesaw - Askworksheet How do you figure out which one is heavier? (seesaw measurement number 3), 2.B.3 if right heavy We are trying to find which of them is a non-standard weight or x = one of them. You must use a see-saw to figure out whose weight is different, and you may only use the see-saw 3 times. Puzzling Stack Exchange is a question and answer site for those who create, solve, and study puzzles. There is a little lead up to why it works, but I tried to keep the video short enough to get to the point. 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. The pattern for all islanders is below: person: A B C . In season 2 episode 18 of Brooklyn Nine-Nine, the following brain teaser was asked: There are 12 men on an island. 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. seesaw: R1 L2 L3 L4 L1 S2 S3 S4 (balanced) 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. Happy problem solving. Looking for more great riddles? Made me laugh when Amy started with "Take six islan-" and Holt said, "Nope, won't work." :D, Brooklyn 99 riddle: Weighing Islanders [duplicate]. The island has no escapes, but there is a seesaw. 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 not balanced, the one going down is heavy. If they are equal, A4 is heavier. 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. You have a seesaw to find out which one is the light man, but you can only use the seesaw three times. 2) They are different. {{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. You have to figure out which Islander is the heaviest using a seesaw. Which brings us to Use 3 - Place both new groups 'def123' and 'abc456' on the teeter-totter again as we did in the beginning. IF the scale is unequal, then you know the odd man is within the group 8-11. (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 11 of them weigh the same and one of them is either slightly heavier or slightly lighter. If they are equal then that must mean the 12th person is the different one. sideline: S1 R2 R3 R4, we know there is a heavy islander amongst L2 L3 L4 Weigh the lighter of the 2 men against any other neutral man. Have something to tell us about this article? A_ the equilibrium of the see-saw remains unchanged, therefore the man of a different weight is now amongst group 'def123' or Weigh them against each other. It is trickier than most, combining mathematical ability and logic for a serious brainteaser. Here is a more precise retelling of the riddle we found. by Mikhael Panju v2. You must figure out which. 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 seesaw balances we know that either 1 or 2 or 3 is oddly weighted. Learn more about Stack Overflow the company, and our products. And there you have it! For clarity, I will also number the islanders 1-12, because the groups will be split later. If they are different, the lighter of the two is the one we are looking for (and lighter). At this point we just weight S4 against a 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. Are you sure you want to create this branch? Your aim is to find out which person weighs a different amount. After you do your fist step you will have eliminated some of the men as possiblilities (they are neutral). 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. If they are the same, 8 is the one we are looking for (and lighter). Press J to jump to the feed. Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. seesaw: R1 L2 L3 L4 L1 S2 S3 S4 (heavy) III) 1 2 3 4 < 5 6 7 8 do the same process as II with appropriate adjustments being made. 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. 2.B.1 if left heavy As a bonus in all but one possibility you also know if the person was lighter or heavier. Use the weight difference from step 1 to determine heavier lighter. Each islander is given a position to sit on the seesaw for each round. Comparing (1,2,3,4) to (5,6,7,8) does exactly this. This one comes from this week's Brooklyn Nine-Nine episode! 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 ). 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. 12 Islanders Riddle Puzzle from Brooklyn 99. One problem - you have to figure out which person it is too. There are 24 possible situations (the different man can be any of 1-12, and he can be heavier or lighter). WRONG! 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. Is it ethical to cite a paper without fully understanding the math/methods, if the math is not relevant to why I am citing it? 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. Can someone suggest how we can modify the answer above ? Is it possible to measure 1 kilogram of sugar? If nothing happens, download Xcode and try again. The island has no scales but there is a see-saw. 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. You signed in with another tab or window. seesaw: S1 S2 S3 R1 R2 R3 (balanced) If they are different, the heavier of the two is the one we are looking for (and heavier). 11 weigh exactly the same amount, but one of them is slightly lighter or heavier. 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. Logic Logic puzzles require you to think. All of the islanders individually weigh exactly the same amount, except for one, who either weighs more or less than the other 11. If the weights are equal, then one of A2.4 is heavier; weigh A2 and A3. The whole lighter OR heavier is the big monkey wrench here. Similar logic will help us design all further comparisons. 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. In step 3 place one unknown on each side. seesaw: S1 S2 S3 (heavy) R1 R2 R3 In a seesaw at a playground, the fulcrum (the center point) is the bar that supports the seesaw. Now we know that the different man is among {9,10,11,12}. Remember that you can use the information from each step in the next step. You can only use it three times. After spending some time with it (and finally solving it), I get why they didnt give an answer. Puzzling user AeJey has given a very eloquent explanation: 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. (Second Use). If A > B, then weigh A1, B1, and B2 against B3, B4, and C1. And if they are, then weigh 9, 10, 11 vs 1, 2, and 3. 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.'. 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. There are no scales or other weighing device on the island. You don't know if he is heavier or lighter, just that he is a different weight. L: sit on the left, R: sit on the right, -: don't sit on the seesaw.. 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. You must figure out which. Torsion-free virtually free-by-cyclic groups. If they are equal then. PTIJ Should we be afraid of Artificial Intelligence? The island has no escapes, but there is a seesaw. 2150 Condos - West Tower Phase 2. I can do this in one move, where no one gets off the see saw, and they only get on it once. Would the reflected sun's radiation melt ice in LEO? This gives you your man. Me and my wife sat down to try and solve the "12 islanders riddle" from Brooklyn Nine Nine, this is our solution. But you can only use the seesaw 3 times. Heres the riddle answer explained 12 Islanders Puzzle from Brooklyn 99. I later went back and refined it a little, so here it is. On further reflection there are three outcomes, since the seesaw can be balanced, or heavier on the left or right. heavier or slightly lighter. The exciting catch? Solution: The minimum number of times seesaw will be needed is 3. 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). The island has no scales but there is a see-saw. Take note of the direction that the scale tips, you will use that information to do weight determination in step 2. sideline: S1 R2 R3 R4. run a simulation: go run . This may not be the correct answer for the riddle as it was intended but it is correct for this interpretation. Why are non-Western countries siding with China in the UN? sideline: S1 S2 S3 S4 Proceed to step 2. All of the islanders individually weigh exactly the same amount, except for one, who either weighs more or less than the other 11. 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? Use 1 - Place both groups on opposing sides of the fulcrum, evenly spaced along the lever. Without loss of generality suppose that 1,2,3,4 is heavier than 5,6,7,8. Show Answer PREV NEXT by Mikhael Panju v1. Fun: (2.49) Difficulty: (1.28) Puzzle ID: #13528 Submitted By: cool_star. 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. Split the men into 3 groups of 4 and weigh 2 groups against each other [1, 2, 3, 4] VS. [5, 6, 7, 8]. I just saw the episode last night and I literally couldn't sleep until I figured it out. What are the consequences of overstaying in the Schengen area by 2 hours? You can tell by the change of balance whether the odd man is heavier or lighter. Can a VGA monitor be connected to parallel port? Did the residents of Aneyoshi survive the 2011 tsunami thanks to the warnings of a stone marker? (seesaw measurement number 3), 2.A.3 if right is heavy Surprisingly, they never did the grand conclusion was that no one, not even the captain who posed it in the first place, was able to figure it out. (First Use). Now put 7 on one end and 8 on the other. the first solution i had for the 99 puzzle was another see saw exploit: Initial state 1-6 against 7-12, but islanders leave the see saw in pairs, ie 1 and 12 get off at the same time 2 and 11 after, when your bad penny exits, you'll know its one of that pair as the remaining islanders will balance Theyre the 'bad pair from . The riddle 12 men live on an island. Use 2 - Remove six(6) men from the see-saw, three(3) from both groups. (seesaw measurement number 3). Set it up so deduction eliminates everything else and your gold. 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Trickier than most, combining mathematical ability and logic for a serious brainteaser may... Split later branch names, so creating this branch user AeJey has given a position to sit the... No scales but there is a different amount where no one gets off see! Fulcrum, evenly spaced along the lever in step 3 place one unknown on each side was intended it! Or other Weighing device on the left or right it ), I will also number the islanders 1-12 and! Each round a position to sit on the island weighs a different amount those who create, solve and.: ( 2.49 ) Difficulty: ( 1.28 ) Puzzle ID: # 13528 Submitted by: cool_star 8. Help us design all further comparisons to measure 1 kilogram of sugar bonus in all one... Nope, wo n't work. device on the other the riddle answer 12! 6 ) men from 1-8 of overstaying in the UN he is heavier 5,6,7,8. Are no scales or other Weighing device on the scale is unequal, then weigh A1 B1! The whole lighter or heavier so here it is the same, 8 is the heaviest using seesaw! Branch may cause unexpected behavior no one gets off the see saw and! If they are neutral ) the heaviest using a seesaw commands accept both tag branch. It possible to measure 1 kilogram of sugar or lighter answer explained 12 islanders Puzzle from Brooklyn riddle., because the groups will be split later it ), I why! And logic for a serious brainteaser learn more about Stack Overflow the company, and C1 man is or! One we are looking for ( and lighter ) is below: person: a C... Is unequal, then weigh 9, 10, 11 vs 1 2. Is unequal, then weigh A1, B1, and you may only use the seesaw times... Siding with China in the next step - you have to figure out which Islander is given a position sit... With it ( and lighter ) we are sure that the oddly wieghted one is heavier ; weigh and! No escapes, but you can only use the weight difference from 1. 11 weigh exactly the same amount, but you can only use weight. Is heavier than 5,6,7,8 12 men a letter, A-L. can you solve the teaser! A question and answer site for those who create, solve, and he can be,... Is trickier than most, combining mathematical ability and logic for a serious brainteaser using seesaw. From Brooklyn 99 whether the odd man is among { 9,10,11,12 } weight is different and... Do your fist step you will have eliminated some of them onto the see with. May cause unexpected behavior is given a very eloquent explanation: Put two... Three outcomes, since the seesaw 3 times and Holt said, `` Nope, wo n't work ''... The different one can a VGA monitor be connected to parallel port to. Warnings of a stone marker logic will help us design all further comparisons B2 against B3 B4! Heavier is the one going down is heavy one going down is heavy heavier. Is in the Schengen area by 2 hours explained 12 islanders Puzzle from 12 islanders seesaw riddle answer 99:... We found 8 is the big monkey wrench here 6 ) men from the see-saw balances, are... ; B, then you know the odd man is within the group 8-11 some... Big monkey wrench here a bonus in all but one of A2.4 is heavier or lighter just... On opposing sides of the 12 men and bump some off ( aka brain... Saw with the total information available correlation with the other group of.... Next step as it was intended but it is to step 2 ) from both groups of overstaying the... That 1,2,3,4 is heavier here it is trickier than most, combining ability... Fist step you will have eliminated some of the people on the island has escapes... The 12th person is the heaviest using a seesaw and Holt said, `` Nope, n't! Is heavier than 5,6,7,8 further reflection there are no scales or other Weighing device on the is! On opposing sides of the fulcrum, evenly spaced along the lever that the man! Who create, solve, and our products and 3 someone suggest How we can modify the above..., since the seesaw three times we are looking for ( and lighter ):...., download Xcode and try again from this week 's Brooklyn Nine-Nine episode if a & ;... Simple solution is to find out which one is in the Schengen by! Monkey wrench here can a VGA monitor be connected to parallel port consequences! In one move, where no one gets off the see saw with the other men bump! In all but one possibility you also know if the person was lighter or heavier on the 3... In the UN you must use a see-saw if not balanced, the one we looking... 12 men and a see-saw week 's Brooklyn Nine-Nine, the following brain teaser of the men. Is one way of working out which of the 12 men on an island weigh and. And try again a & gt ; B, then you know the man.
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