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 The 5 jugs (Posted on 2005-08-18)
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)

 Subject Author Date re(2): quite simple James 2006-12-18 01:24:05 re: quite simple Rajeshwari 2005-10-03 18:33:30 re: quite simple sean 2005-08-31 02:23:38 quite simple sean 2005-08-31 02:22:03 re: Now I've got it pcbouhid 2005-08-30 21:48:26 Now I've got it chap 2005-08-30 21:31:37 Easy enough chap 2005-08-30 21:12:20 re: THE SOLUTION pcbouhid 2005-08-29 11:58:11 THE SOLUTION James 2005-08-29 07:38:41 re(2): way easy, even for a novice James 2005-08-29 06:42:41 re: way easy, even for a novice pcbouhid 2005-08-27 03:13:27 way easy, even for a novice Emily 2005-08-26 22:22:38 re: Very Easy pcbouhid 2005-08-24 18:30:24 Very Easy bo 2005-08-24 18:16:31 re: The Solution pcbouhid 2005-08-24 15:07:29 The Solution James 2005-08-23 19:27:29 re: the solution pcbouhid 2005-08-23 12:47:55 the solution anubhav 2005-08-23 01:49:49 re(3): symetrical bottles Percy 2005-08-19 19:06:14 re(2): symetrical bottles pcbouhid 2005-08-19 17:57:21 re: symetrical bottles Charlie 2005-08-19 14:59:59 symetrical bottles Percy 2005-08-19 00:26:53 re: All the minimal solutions Percy 2005-08-19 00:18:40 to Charlie pcbouhid 2005-08-18 23:16:34 re(4): To Hugo - I missed what Charlie pointed out!!! pcbouhid 2005-08-18 21:24:07 re(3): To Hugo - I missed what Charlie pointed out!!! Hugo 2005-08-18 21:13:14 re(2): To Hugo - I missed what Charlie pointed out!!! pcbouhid 2005-08-18 18:47:43 re: To Hugo - I missed what Charlie pointed out!!! Hugo 2005-08-18 18:39:08 All the minimal solutions Charlie 2005-08-18 18:12:35 To Hugo - I missed what Charlie pointed out!!! pcbouhid 2005-08-18 16:45:07 re(2): Solution (spoilers present--computer solutions) Charlie 2005-08-18 16:17:27 re: Solution Charlie 2005-08-18 15:35:08 re: Solution pcbouhid 2005-08-18 13:54:48 re: My solution pcbouhid 2005-08-18 12:37:12 Solution Hugo 2005-08-18 11:16:42 My solution Steve 2005-08-18 05:18:18

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