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Tank draining (Posted on 2013-10-14) Difficulty: 3 of 5
We have 16 tanks in a 4x4 grid.
+--+--+--+--+
|1 |2 |3 |4 |
+--+--+--+--+
|5 |6 |7 |8 |
+--+--+--+--+
|9 |10|11|12|
+--+--+--+--+
|13|14|15|16|
+--+--+--+--+
All the tanks are empty, except the first one, which is filled. We'd like to drain it. If you drain the water outside of the tank system, certain baby animals will be very sad, but draining the water from one tank to another is alright.

There is a door between each pair of adjacent tanks (but no diagonal connections). If you open the door between two tanks, the water levels will instantaneously equalize. What's the most you can drain out of the first tank?

See The Solution Submitted by Tristan    
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Not complicated | Comment 4 of 6 |

I am certain this is not what is intended:

Make several baby animals sad, and drain all the water outside the tank system:  100% of the water is drained.  (unfortunately there is no mention that there are any doors to outside the system, but since the possibility of doing so was raised, such doors likely exist)

Edited on October 15, 2013, 7:57 am
  Posted by Larry on 2013-10-14 19:18:54

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