Question: 4 . Consider the following problem: Definition: An Eulerian cycle of an undirected graph is a path that starts and ends at the same vertex

4. Consider the following problem:
Definition: An Eulerian cycle of an undirected graph is a path that starts
and ends at the same vertex and contains each edge of the graph exactly once.
Problem: Given a connected undirected graph, to decide whether it contains
an Eulerian cycle.
Is this problem in P? If yes, give a polynomial time algorithm.
Is this problem NP-complete? If yes, prove your claim.

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