I’d use my UV convoy s2+ to find the fake. Swallow the diamonds, beat the captors with the provided scale. I think that’s the right answer.
Thank you goshdogit, that would be them!! :+1:
ToyKeeper:I hope at the very least it was an enjoyable exercise, even if it wasn’t any better than spending a few minutes playing Minesweeper.
Er, I enjoy little puzzles like that anyway. I doubt everyone does though.
Like, we were watching a sitcom one night and they posited a puzzle. So when the show was over, I went to go work out the answer. I ended up staying up too late because it was trickier than expected, but by golly, I finally found a solution.
FWIW, the puzzle was this:
- You are presented with a set of twelve identical diamonds, each one extremely valuable. Same size, same shape, same color, everything. Except one of them is fake, and it weighs more or less than the others.
- Along with these, you also have access to a balancing scale — the “scales of justice” type with two hanging platters, so it can only tell you which side weighs more.
- If you can determine which one is fake, you get to keep them all. Otherwise, you keep none of the diamonds.
- You can only determine the answer using the scale, and you can only use it three times.
- You must decide exactly which three measurements to make in advance, before you have actually measured anything.
- You don’t actually get to touch the goods. Someone else does the measurements and lets you see the result of each.
- The diamonds will only be given to you if you can prove that your method always works. They won’t give you anything if you guess which one is fake but can’t provide a reliable algorithm.
So, how do you figure out which one is fake?
Oh, and then they add in one more detail: If you like, you can double your payout if you attempt the problem for thirteen diamonds — but in that case, getting a wrong answer will land you in jail. So there is a harder version for those who are willing to play with higher stakes. Everything is the same except there is one more real diamond in the set, and you can also use one dummy weight which has the same mass as a real diamond.
Any ideas?
Oh man I’ve done this one before, but brain is failing me. Something like 1-4 vs 5-8, then one of those groups vs 9-12, then 1 and 2 vs 11 and 12 (those dependant on heavier/lighter).
I had a similar idea. Break them into three groups of four but then got confused about where to go after you compare the three groups against one another without running out of tries. Hmmmmmmm.
I had a similar idea. Break them into three groups of four but then got confused about where to go after you compare the three groups against one another without running out of tries. Hmmmmmmm.
Yeah, not at my desk at the moment to work it out again, but I’ve definitely worked it out before in a repeatable fashion.
I do like the idea of the 365nm and violence though ;p
WARNING FOR RIDDLE ANSWER ATTEMPT
I’m pretty sure this works, but I’m tired so I may have missed something. It also doesn’t seem like the most efficient solution, which is worrying.
-Scale 1—————Scale 2———-Aside
1,2,3,4,5,———–7,8,9,10,12——6,11,13
1,3,7,9,11———–2,4,6,8,10——–5,12,13
1,2,7,8—————3,4,9,10———–13
This should result in the following mapping, where L: left side is light, R: right side is light, and B: the two are perfectly balanced (as all things should be).
1 LLL
2 LRL
3 LLR
4 LRR
5 LBB
6 BRB
7 RLL
8 RRL
9 RLR
10 RRR
11 BLB
12 RBB
13 BBB
I’m interested in ordering one if it’s not too late. Thanks!
WARNING FOR RIDDLE ANSWER ATTEMPT
You’re definitely on the right track… but it looks like you’re assuming the fake is lighter than the others. What if it’s heavier? This test can’t distinguish between #1 being lighter and #10 being heavier.
PM received.
Thanks TK and everyone who made this dream come true.
PM received, 3D model ordered. I was #1336 on the msg list.
WARNING FOR RIDDLE ANSWER ATTEMPT
You’re definitely on the right track… but it looks like you’re assuming the fake is lighter than the others. What if it’s heavier? This test can’t distinguish between #1 being lighter and #10 being heavier.
I suppose it would have been wise to read the specifications a bit more carefully. I think I removed all the symmetric cases, although it still feels like I’m missing something. It worries me that I did not use the dummy stone.
-Scale 1———Scale 2———Aside
1,2,3,5——–6,7,8,11——–4,9,10,12,13
1,2,5,6——–3,4,9,10——–7,8,11,12,13
1,3,8,10——2,7,9,12——–4,5,6,11,13
1 LLL
2 LLR
3 LRL
4 BRB
5 LLB
6 RLB
7 RBR
8 RBL
9 BRR
10 BRL
11 RBB
12 BBR
13 BBB
I’m down for 2.
In for 1. Thanks
3D version will start to ship today
Thanks much to all who helped get this going. Especially TK. I did purchase 2 but would like to get in on the 2nd round of different LEDs. I would like to be able to purchase 2 more at the discounted rate when those come in. I am not exactly sure how that is going to work but if it means I am to comment again then consider this to be the post. Good luck all!
3D version will start to ship today
Thank you for this update Neal as well as the others you have given. :+1:
Thank you also for what you have done to make the FW3A a reality!!
Best regards……
it was posted several times, that the same code will work for the upcoming led variations ;)
if something changes Neal will post that.
I’m #1387 on the list, just got PM, so that’s where it’s up to (for everyone’s info)
Can I be put down for 1? Hopefully I’m not too late!
Can I be put down for 1? Hopefully I’m not too late!
I think being put on the list closes in 4 hours (based on a reddit comment by TK) so should be okay.
Please put me on the list for one more. I would like the LH351D variant later. Thanks!