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mock AMC 10

 
 
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mock AMC 10
by Kai Ho Liang - Sunday, December 13, 2020, 9:12 PM
 

I'm confused about the below problem, can someone help me explain in details?

A bug travels from A to B along the segments in the hexagonal lattice pictured below. The segments marked with an arrow can be traveled only in the direction of the arrow, and the bug never travels the same segment more than once.