Question: The Hamiltonian circuit problem is to determine whether a given graph has a Hamiltonian circuit a path that starts and ends at the same vertex

The Hamiltonian circuit problem is to determine whether a given graph has a Hamiltonian circuit a path that starts and ends at the same vertex and passes through all the other vertices exactly once. Although it is known that the Hamiltonian problem falls in the NP class, and it is also an NP-Complete problem. By the definitions given to these classes, discuss why the Hamiltonian circuit problem belongs to both the NP and NP-Complete classes? [You may use an example to illustrate]

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