Check out this circuit

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I am having trouble doing fault finding on this circuit.
Thanks to fotophil for alerting me to this rather interesting problem.

A rather interesting circuit
My knowledge of circuit theory is failing me. I don’t recognise some of those circuit symbols. And do Kirchhoff’s Laws, and Norton’s and Thévenin’s Theorems work on this circuit?
Image credit: http://xkcd.com/730/

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