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Topic: Decanting Problem (Read 2461 times) |
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checker
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Decanting Problem
« on: Nov 28th, 2006, 3:26am » |
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There where three jugs kept on table A,B and C with the capacities 8,5 and 3 litres respectively,but non are calibrated.Jug A is filled with 8 litres of wine.By a series of pouring back and forth among the three jugs,divide the 8 litres in jug A,and 4 in jug B
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Whiskey Tango Foxtrot
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Re: Decanting Problem
« Reply #2 on: Nov 28th, 2006, 5:12am » |
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I think he means none are graduated. You can't just read the markings off the side.
Also, "divide the 8 litres in jug A,and 4 in jug B" doesn't make much sense.
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| « Last Edit: Nov 28th, 2006, 5:14am by Whiskey Tango Foxtrot » |
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Three Hands
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Re: Decanting Problem
« Reply #3 on: Nov 28th, 2006, 6:36am » |
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Interpreting the riddle to be asking for Jug A being filled at the start (8 litres), and getting to a state where Jug B has exactly 4 litres of wine (and Jug A with the remaining 4 litres) through pouring between jugs, filling each jug that is being poured into, I get the following solution:
| hidden: | Start: 8,0,0
A-B: 3,5,0
B-C: 3,2,3
C-A: 6,2,0
B-C: 6,0,2
A-B: 1,5,2
B-C: 1,4,3
(C-A: 4,4,0) |
That's pretty much the best guess I have at what the riddle is asking for...
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ThudnBlunder
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Re: Decanting Problem
« Reply #4 on: Nov 28th, 2006, 6:56am » |
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Three Hands, how did you measure 1 litre in your penultimate step? 
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THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you.
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Three Hands
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Re: Decanting Problem
« Reply #5 on: Nov 28th, 2006, 7:05am » |
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Um, if C has a capacity of 3 litres, and already has 2 litres in it...
Granted, since I'm posting from Australia, it's a bit on the late side here, but I hoped I'd made the reasoning pretty clear...
An aside: OK, so technically I mis-worded my earlier post. Read "filling each jug that is being poured into" as "filling as far as possible each jug that is being poured into", since the method relies on this...
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ThudnBlunder
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Re: Decanting Problem
« Reply #6 on: Nov 28th, 2006, 7:09am » |
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on Nov 28th, 2006, 7:05am, Three Hands wrote:| Um, if C has a capacity of 3 litres, and already has 2 litres in it... |
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Silly me. Well, if the world chess champion can overlook a mate-in-one by a laptop computer... 
http://chessbase.com/newsdetail.asp?newsid=3512
Anyway, these problems are best solved in general using something called trilinear coordinates.
http://www.cut-the-knot.org/ctk/Water.shtml
(You are not in Australia for the Ashes, are you?)
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| « Last Edit: Nov 29th, 2006, 3:54pm by ThudnBlunder » |
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Sameer
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Re: Decanting Problem
« Reply #7 on: Nov 28th, 2006, 1:12pm » |
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on Nov 28th, 2006, 7:09am, THUDandBLUNDER wrote:
(You are not in Australia for the Ashes, are you?) |
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Well England lost horribly in first test, what do you feel about second one!!
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ThudnBlunder
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Re: Decanting Problem
« Reply #8 on: Nov 28th, 2006, 1:20pm » |
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on Nov 28th, 2006, 1:12pm, Sameer wrote:
Well England lost horribly in first test, what do you feel about second one!! |
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We will draw the next two Tests, then Vaughan will come back for the 4th, and we will win 2-1, just like last time!
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| « Last Edit: Nov 29th, 2006, 8:25am by ThudnBlunder » |
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Three Hands
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Re: Decanting Problem
« Reply #9 on: Nov 29th, 2006, 7:15am » |
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Actually down in Australia for travelling around/seeing the world before finding a job and getting stuck in the "real" world. Don't have any tickets for the Ashes tests (I think they'd sold out long before I got here), but there is the advantage of not having to stay up until stupid o' clock in order to see how play is progressing, which is nice.
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mc2
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Re: Decanting Problem
« Reply #10 on: Nov 6th, 2007, 4:37pm » |
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| hidden: | fill three
pour into five
fill three
pour into five till full
leaves 1 in three
pour five into eight
pour 1 into five
fill three
pour into five |
I think this may be short route. I submit for dissection.[hide][/hide]
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| « Last Edit: Nov 6th, 2007, 4:39pm by mc2 » |
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ThudnBlunder
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Re: Decanting Problem
« Reply #11 on: Nov 7th, 2007, 12:59pm » |
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on Nov 6th, 2007, 4:37pm, mc2 wrote:
What happens to this five?
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SMQ
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Re: Decanting Problem
« Reply #12 on: Nov 7th, 2007, 1:09pm » |
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on Nov 7th, 2007, 12:59pm, ThudanBlunder wrote:
What happens to this five? |
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 Assuming that by "fill X" he always means "pour from 8 into X until full", the solution works out just fine, doesn't it?
--SMQ
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--SMQ
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ThudnBlunder
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Re: Decanting Problem
« Reply #13 on: Nov 7th, 2007, 5:14pm » |
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on Nov 7th, 2007, 1:09pm, SMQ wrote:
Assuming that by "fill X" he always means "pour from 8 into X until full", the solution works out just fine, doesn't it?
--SMQ |
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OK; I thought it was being filled from a tap.
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rmsgrey
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Re: Decanting Problem
« Reply #14 on: Nov 8th, 2007, 7:00am » |
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on Nov 6th, 2007, 4:37pm, mc2 wrote:| I think this may be short route. I submit for dissection. |
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That 9-move solution works. There is a 7-move solution which is shorter.
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