Problem: A Hamiltonian cycle, also called a Hamiltonian circuit, Hamilton cycle, or Hamilton circuit, is a graph cycle (i.e., closed loop) through a graph that visits each node exactly once. A graph possessing a Hamiltonian cycle is said to be a Hamiltonian graph. An example to this is shown image: the task is to construct a Space State tree that shows the different solutions in generating a Hamiltonian cycle

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