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Given three jugs with 
 pints in the first, 
 in the second, and 
 in the third, obtain a desired amount in one of
the vessels by completely filling up and/or emptying vessels into others.  This problem can be solved with
the aid of Trilinear Coordinates.
References
Coxeter, H. S. M. and Greitzer, S. L.  Geometry Revisited.  Washington, DC: Math. Assoc. Amer., pp. 89-93, 1967.