A little Problem...
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@unknownuser said:
wait, you didn't mention what the finished puzzle should be.. do you mean start with the picture and move the stack to a different pole following your guidelines?
Thats it, the aim is to move all the discs to another pole following the rules, so for 2 discs the solution would look like this:
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That is more interresting
You can win 2 millions $ for make a "little" puzzle
But now make speedy answer : 31 12 2009 end first step of the game!
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can i just answer 'it's going to take forever' ?
that is a huge huge number that i don't really know how to writei did find a method to obtain the answer though
basically,
2disc = 3 moves
3disc = 7
4disc = 15
5disc = 31
6disc = 63
etc..following that sequence, 7discs = 127 then 8 = 255
i'll try to get it better than that though. -
well, here's the answer i'm going to go with but this stuff is over my head.. i like the practical everyday logic puzzles much better
184,467,440,737,095,516,150 minutes
[edit] hmm.. maybe that's 10 minutes too long? i guess you don't have to wait 10 minutes before making the very first move.
[edit2] oops agian.. i figured it as if you make one move every 10 minutes instead of 10 per minute..
so maybe it's more like
1,844,674,407,370,955,161 minutes...and 30seconds -
@remus said:
Your a factor of 100 out, you can make 10 moves a minute whereas i guess you took a move takes 10 minutes. Otherwise correct though
right.. i update my post as you were posting yours.
ok, i'm gonna go eat ice cream now
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fwiw, the way i figured it out was by physically doing the puzzle in sketchup with 2,3,4 & 5 discs then looking for a pattern..
my results were
3
7
15
31which i realized was the same a 4,8,16,32,64,etc minus 1..
then i had to find a big enough calculator to figure out the rest..http://www.petting-zoo.org/Calculator.html
i'm sure there's a way to do this using formulas but i'm more of a hands on type
similar math is applied to this question:
would you rather I give you $5000 right now -or- give you a penny right now, 2 pennies tomorrow, 4 pennies the next day etc.. for an entire month?
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Only Bill Gates and a few other chaps have enough spare change to pay the amount you would owe me, Jeff ($10,737,418.23), so I prefer you give me the $5,000 today.
EDIT: I mistook pennies for dollars and 5000 for 500, so I updated my post.
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Pilou, it is indeed the towers of hanoi problem.
In a similar vein there is the wheat and chessboard story: http://en.wikipedia.org/wiki/Wheat_and_chessboard_problem
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@ecuadorian said:
Only Bill Gates and a few other chaps have enough spare change to pay the amount you would owe me, Jeff ($10,737,418.23), so I prefer you give me the $5,000 today.
EDIT: I mistook pennies for dollars and 5000 for 500, so I updated my post.
haha, okay Miguel.. the check is in the mail!
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