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Kudos to authors for monetizing some very basic graph theory (the topic here is Eulerian circuits and Eulerian trails). Check how many edges sticks out of each vertex. That’s called the “degree” of a vertex. If all vertices have even degrees, then choose any vertex as both your start and finish. If exactly 2 vertices have odd degrees, then those 2 vertices are your start and finish. In that second case (different start and finish), pay attention to vertices and edges called “bridges”. Those are vertices and edges which *must* be on *any* path from the start to the finish, whether it contains all edges or not, they’re *unavoidable* in getting from here to there. Mentally take away those edges and cut these vertices in half, and you’ll have some “islands” (those are called “blocks”). Make sure you use up every edge of each island before you cross the bridge to the next island. Oh, and double edges (they’re dotted) count twice, etc; MagicAnt,Inc.

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