How many distinct Hamiltonian circuits can you find on the following graph? (Do not count a circuit and the reverse of the same circuit as distinct.) 
Definitions:
Past Customers
Individuals or entities that have previously purchased goods or services from a business.
Remote Island
An island that is located far from the mainland, often characterized by limited accessibility and a detached lifestyle, offering unique natural landscapes.
Fishing Resort
A vacation destination offering lodging and access to activities centered around fishing, including guided fishing trips and equipment rental.
Evaluative Criteria
The standards and specifications that consumers use to compare different products and brands when making purchasing decisions.
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