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===Solution===
 
===Solution===
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[http://mathforum.org/kb/plaintext.jspa?messageID=6514666 Solution posted by Jon Awbrey, recasting the problem in logical graphs].
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[http://mathforum.org/kb/plaintext.jspa?messageID=6514666 Solution posted by Jon Awbrey, using the calculus of logical graphs].
    
In logical graphs, the required equivalence looks like this:
 
In logical graphs, the required equivalence looks like this:
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