Question: ( 1 5 points ) You are given a directed graph. Design a reasonably efficient algorithm that deternines if there exists a walk that goes

(15 points)
You are given a directed graph.
Design a reasonably efficient algorithm that deternines if there exists a walk that goes through each vertex at least once.
(7 points for reasonably efficient correct high level algorithm description (with correctness proof),5 points for correct time analysis, and 3 points for efficiency of your algorithm.)
( 1 5 points ) You are given a directed graph.

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