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1. Suppose that a graph G has two different circuits C and C' that each contain the edge e. Show that G must have a

1. Suppose that a graph G has two different circuits C and C' that each contain the edge e. Show that G must have a third circuit C" that does not contain e. That is, explain how some of edges in C and C' can be used to construct a new circuit that does not contain e. Do not give an example but rather a general argument of how to construct such a C". A general picture may help.

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