the description of your problem is wrong, not the same as test suits. the either..or... should be both...and...
I updated the description to clarify the ambiguity mentioned by Gareth Lee on 1 May 2015.
With apologies for the 2 year delay, I've updated the description to be a little more explicit.
I hadn't seen this approach to masking the complexity of a solution before. Obvious in hindsight of course.
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