Batman has been imprisoned by the Riddler. To escape he must find the quickest way to move the tower of plutonium disks from one post to another so that the disks have the same arrangement as on the original post. He may move only one disk at a time. What is the minimum number of moves he must make in order to move the ten disk tower and have it appear the same?
there are two ways i interpret this. he can do a simple 180 degree rotation, flip all the rings onto the post which takes one move. or he can move ring by ring. when you think about it he can carry two rings each time, one per hand thus making him take five moves....
ReplyDeleteI'm not sure if i completely understand this, but i surely hope i do!
Well, the first method I think of is the one illustrated in the question. Just take them one-by-one onto another post so the discs upside-down, and then onto another post. This whole method takes 20 moves.
ReplyDeleteBUT, I found another way...
Since the plutonium discs get smaller, if Batman takes them off one at a time and places them on the ground, he could pick them up in any order. But, he does not have to put the last disc down and waste a move, he could put it on the other post right away. Then he would put all the other other discs on. That takes 19 moves.
he can also take 10 moves, moving one ring at a time.....
ReplyDeleteUm I drew a diagram to find this one out and well i hope i got it right because i am pretty sure i confised myself. So, i am pretty sure (i hope) that the least possible amount of moves is 18 unless you do like Iris which is completely genious. So um, i first thought of one way to do it. The rings would have to move twice, there are 9 rings so a total of 18 moves. Now, i think i am underthinking this but... according to my diagram it is 18 too so i am pretty sure it is 18. I will post again later
ReplyDeleteNormal Way = Move 1 at a time = 20 moves.
ReplyDeleteCrazy Way = 2nd post flip up-side-down and pour onto 3rd post = 1 move. use an object and make that object move the discs of the first post move to the second post so it does not mean 'he' touched the discs. That probably does not work and that is only 1 move.
Other Way (Even mor probaby not possible way) = Pour post 2 into post 3. Pour post 1 into post 2. So that is equal to 2 moves.
Comment = Sara, there are "10" plutonium discs so how did you get 18?
P.S. The time it says we posted is 3 hours behind ( exactly )
ReplyDeletei might not get this but(not coping u iris just the way i see it) u could do one flip 180 degrees or move each disk one by one. i dont really get this
ReplyDeleteHe could just move them one at a time. 20 moves.
ReplyDeleteThe answer is 20 moves. You do this by moving one disc at a time. It takes ten moves to move the discs to the second pole and then another ten to move them to the last pole. Like Hari said there is also a crazy way but I don't thin it is proper.
ReplyDeleteI forgot to log out of my dad's email. Perlorian Brothers is me.
ReplyDeleteWell he could just pick a whole tower up at once. Then if he does it to two towers then it will be two moves.
ReplyDeleteWait...
ReplyDeleteI got it all wrong,
He does not have to put them on the ground, but when he is about to put the largest ring, he can put it right on the third pole because it will be on the bottom. That takes 19 moves.
It will take 19 moves. There is two moves for every ring. One for taking it off the pole and one for putting it on the of other pole. The only ring that takes one move is the final one because you can take it of the pole and put it on the other one in a single move.
ReplyDeleteIt will take 19 moves. How I figured this out was that in order to move all 8 rings to the next post (one ring at a time) it would take him 2 moves. Also as someone previously mentioned you could flip the second post 180 degrees and all the rings would slide onto the last post. I might post later if I have another idea.
ReplyDeleteWhoops sorry I said move all 8 rings it's really move all 9 rings. Sorry!
ReplyDeletek so there are like a bizillion wayze to answer so using a simple method not including specified logical details of the problem if u were to translate it right and then down thatd be 20 moves however if u culd pick em all up at once u rotate it twice counter or normal clockwise thats one move to put em all on. so just gl with that dunno wat im doing! :) l8er!
ReplyDeleteI think that it takes 19 moves. To get out Batman must move the top nine disks twice but the biggest bottom disk only once to get back to the orginal position. The equation for this is (2 x 9) + 1 = 19 moves.
ReplyDeleteIt will take 18 moves because he can move a whole tower of discs from the second post to the first post so that will take 9 moves. Then he can move 9 of the discs that were oringinally on the first post to the second post so that would be another 9 moves so that will take 18 moves altogether,9+9=18.
ReplyDeleteIt would be 19 moves to move it from the first pole to the third pole.....
ReplyDeleteEm$$$
well it looks like you will need 10 moves because there is ten rings so he moves each one one at a time so if i got this question right then he needs 10 moves
ReplyDeleteYour friendly neighborhood Spiderman
HARI!!!! theres only 9 rings...i think will someone please please count the rings
ReplyDeletewell.... i have 2 solutions, you could do each ring one by one, which will be 10 moves cause it says at the top:"10 disc tower". so by moving one by one theirs 10 moves. or he could just flip it over onto the other post, that's 1 move.
ReplyDeleteAdele