*Hardest Balance Logic Puzzle  - 10 October*

You are given a set of scales and 12 marbles. The scales are of the old
balance variety. That is, a small dish hangs from each end of a rod that is
balanced in the middle. The device enables you to conclude either that the
contents of the dishes weigh the same or that the dish that falls lower has
heavier contents than the other.
The 12 marbles appear to be identical. In fact, 11 of them are identical,
and one is of a different weight. Your task is to identify the unusual
marble and discard it. You are allowed to use the scales three times if you
wish, but no more.

Note that the unusual marble may be heavier or lighter than the others. You
are asked to both identify it and determine whether it is heavy or light.

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*Solution*
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