Input: A directed graph G with n vertices. Task: If one can add at most one directed edge to G such that every vertex can reach all other vertices, then print 'Yes'. Otherwise, print 'Unsatisfiable'. Give an efficient algorithm (to the best of your knowledge) and a formal proof of correctness for your algorithm. An answer without any formal proof will be considered incomplete. Analyze the running time of the algorithm. You must write down your algorithm as pseudocode

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