Puzzles/Action sequences/Barrel of Ale/Solution
< Puzzles < Action sequences < Barrel of AlePuzzles | Action sequences | Barrel of Ale | Solution
There are 6 operations that can be done in any order to arrive at one pint. These are: Filling the 5 pint mug, filling the 3 pint mug, pouring the contents of the 5 pint mug into the 3 pint mug, pouring the contents of the 3 pint mug into the 5 pint mug, empyting the 3 pint mug (presumably by drinking it), and emptying the 5 pint mug. Using these operations, there are two ways to arrive at 1 pint.
| 5 Pint Mug | 3 Pint Mug | |
|---|---|---|
| 1 | 5 | 0 |
| 2 | 2 | 3 |
| 3 | 2 | 0 |
| 4 | 0 | 2 |
| 5 | 5 | 2 |
| 6 | 4 | 3 |
| 7 | 4 | 3 |
| 8 | 4 | 0 |
| 9 | 1 | 3 |
Or, much more quickly:
| 5 Pint Mug | 3 Pint Mug | |
|---|---|---|
| 1 | 0 | 3 |
| 2 | 3 | 0 |
| 3 | 3 | 3 |
| 4 | 5 | 1 |
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