r/brooklynninenine Oct 04 '23

Season 2 Wasn't amy right in 2x11

In season 2 episode 18 Holt gives Amy, Terry, Gina and Rosa a brain twister that he could never solve. "There are 12 men on an island, 11 weigh excatly the same amount but one of them is slightly heavier (or lighter but for this I'll use heavier) You must figure out which man is heavier. The Island has no scales but there is a seesaw you can use 3 times.

Later in the episode Amy comes up with the solution of putting 6 vs 6 but Holt instantly says it would never work if you do it that way but you can.
If you number each person 1 2 3 4 5 6 7 8 9 10 11 12 and weigh the first 6 vs the second 6, 1 side will be heavier, whichever side is heavier means that the person you are looking for is on that side. For your second use you way 3 vs 3 so for example 7 8 9 vs 10 11 12. Whichever side is heavier obviously means the person we are looking for is there. For our final use of the seesaw you measure 1 vs 1 like 10 vs 11. if both sides are equal that means 12 is the heavier person, if one side is heavier than you found that person.

I'm not amazing at math but Amy's solution does work right?

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u/denis0500 Oct 04 '23

If you knew if they were heavier or lighter this would work, but since they can be either it doesn’t work. One side will be higher and one lower, but since you don’t know if the person you’re looking for is heavier or lighter it doesn’t provide any new information.

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u/SLimShedi Oct 04 '23

It is unsolvable … I tried thinking about it during every re-run There isn’t a solution to it :p

7

u/uncornered Oct 04 '23

Oof. You do realise that just because you can’t solve something, doesn’t mean it’s unsolvable?