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The 5 jugs (Posted on 2005-08-18) Difficulty: 2 of 5
You have five different jugs, without any marks at all, with capacities of 3, 4, 5, 6 and 7 litres. Initially, the 3, 5 and 7-jugs are completely filled with liquid (so we have 15 litres of the liquid; in the diagram below, an "x" stands for 1 litre) and the other two are empty. The jugs are arranged in the circular manner shown below, which can't be changed:
                           | |
                         +-+ +-+
                         | o o |
                         | o o | 
                         +-----+
              | |                        | | 
            +-+ +-+                  +---+ +---+
            |  x  |                  | x x x x |
            | x x |                  |  x x x  |
            +-----+                  +---------+

                   | |           | |                   
                +--+ +--+     +--+ +--+
                | x x x |     | o o o |
                |  x x  |     | o o o |
                +-------+     +-------+
The goal is to achieve 3 litres in each of the 5 jugs, only by pouring liquid from one jug into an adjacent one. (That is, at any time, you can pour liquid from the 3-jug only into the 4-jug or to the 5-jug; or from the 7-jug only into the 4-jug or to the 6-jug, etc...)

See The Solution Submitted by pcbouhid    
Rating: 2.2500 (4 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): quite simpleJames2006-12-18 01:24:05
re: quite simpleRajeshwari2005-10-03 18:33:30
re: quite simplesean2005-08-31 02:23:38
quite simplesean2005-08-31 02:22:03
re: Now I've got itpcbouhid2005-08-30 21:48:26
Now I've got itchap2005-08-30 21:31:37
Easy enoughchap2005-08-30 21:12:20
re: THE SOLUTIONpcbouhid2005-08-29 11:58:11
THE SOLUTIONJames2005-08-29 07:38:41
re(2): way easy, even for a noviceJames2005-08-29 06:42:41
re: way easy, even for a novicepcbouhid2005-08-27 03:13:27
way easy, even for a noviceEmily2005-08-26 22:22:38
re: Very Easypcbouhid2005-08-24 18:30:24
Very Easybo2005-08-24 18:16:31
re: The Solutionpcbouhid2005-08-24 15:07:29
The SolutionJames2005-08-23 19:27:29
re: the solutionpcbouhid2005-08-23 12:47:55
the solutionanubhav2005-08-23 01:49:49
re(3): symetrical bottlesPercy2005-08-19 19:06:14
re(2): symetrical bottlespcbouhid2005-08-19 17:57:21
re: symetrical bottlesCharlie2005-08-19 14:59:59
symetrical bottlesPercy2005-08-19 00:26:53
re: All the minimal solutionsPercy2005-08-19 00:18:40
to Charliepcbouhid2005-08-18 23:16:34
re(4): To Hugo - I missed what Charlie pointed out!!!pcbouhid2005-08-18 21:24:07
re(3): To Hugo - I missed what Charlie pointed out!!!Hugo2005-08-18 21:13:14
re(2): To Hugo - I missed what Charlie pointed out!!!pcbouhid2005-08-18 18:47:43
re: To Hugo - I missed what Charlie pointed out!!!Hugo2005-08-18 18:39:08
SolutionAll the minimal solutionsCharlie2005-08-18 18:12:35
To Hugo - I missed what Charlie pointed out!!!pcbouhid2005-08-18 16:45:07
Solutionre(2): Solution (spoilers present--computer solutions)Charlie2005-08-18 16:17:27
re: SolutionCharlie2005-08-18 15:35:08
re: Solutionpcbouhid2005-08-18 13:54:48
re: My solutionpcbouhid2005-08-18 12:37:12
SolutionSolutionHugo2005-08-18 11:16:42
My solutionSteve2005-08-18 05:18:18
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