Question: 10. Describe an algorithm (in words, not a code), which for a given connected undirected graph G directs its edges in such a way that

 10. Describe an algorithm (in words, not a code), which for

10. Describe an algorithm (in words, not a code), which for a given connected undirected graph G directs its edges in such a way that the following two conditions are satisfied: 1. the resulting directed graph contains a rooted tree all of whose edges are directed away from the root; 2. Every edge not in the tree above forms a directed cycle with some edges of the tree. What is the complexity of your algorithm? Explain. (10 points)

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