< Puzzles < Action sequences < Barrel of Ale

Puzzles | 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 Mug3 Pint Mug
150
223
320
402
552
643
743
840
913


Or, much more quickly:


5 Pint Mug3 Pint Mug
103
230
333
451
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