Aqua Connection

Turn the pipes in order for water to reach the tap!

Note that cross pipes will only flow straight. Meaning they can go from left <=> right and top <=> bottom, but not for instance left <=> top. This is meant to allow loops, but I realize this is also quite unclear given the current graphics, which don't show the water flowing.
After discussion on the Jam forums, I decided to publish an update that simply removes the cross pipes. The cross pipe removal (replaced by the existing straight pipe) is the only change in this update. The original build is still downloadable.

The levels are partially randomized, but they are all solvable, as they have one hard-coded solution (additional solutions may appear through randomness). I was short on time for the game jam, so there are only 6 levels. Can you beat them all (without cheating 😄)?