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In order to find Hamiltonian cycle, algorithm should find edges that createsa Hamiltonian cycle. Higher number of edges creates more possibilities to checkto solve the problem. Algorithm rests on analysis of original graph andopposite graph to it. Algorithm can remove unnecessary edges from graph andtest when Hamiltonian cycle can't exist in graph. Algorithm prefers "to thinkover" which paths should be checked than check many wrong paths.

A more efficient way of finding Hamiltonian cycle