Mind games

You know those brain puzzles where they give you three jugs of different sizes (different volumes) with a certain amount of water, and tell you to transfer the water so that in the end you will have a certain amount in each jug?

I got one of those today. Three jugs of 19, 13 and 7 litres respectively, with the 13- and 7-litre ones filled to the brim. (okay, maybe it wasn't litres, I can't remember the units :P ) And we're supposed to have 2 jugs holding 10 litres each in the end.

For some reason (maybe it was boredom :P ), I felt rather motivated to solve this puzzle. I think I had never solved one before, because it was usually too complicated and I would end up giving up halfway through and looking at the response.

I decided to use a more "systematic" approach this time...using pen and paper.


Yeah, it paid off in the end. It's still complicated...I guess we need 19 steps to solve the puzzle; I don't see how I can cut that short.

And I just thought I shouldn't let my handiwork go to waste, so I'm posting it here. :P