A Consider The Following Solution To The Euler Circuit Problem

a. Consider the following solution to the Euler circuit problem: Assume that the graph is biconnected. Perform a depth-first search, taking back edges only as a last resort. If the graph is not biconnected, apply the algorithm recursively on the biconnected components. Does this algorithm work?
b. Suppose that when taking back edges, we take the back edge to the nearest ancestor. Does the algorithm work?

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