Determine whether each of the following graphs has a Hamiltonian circuit. If it does have an Hamiltonian circuit, find such a circuit. If it does not have an Hamiltonian circuit, explain why you can be 100% sure that it does not. 
Definitions:
Short Run
A period during which at least one of a firm's inputs is fixed, only allowing the firm to vary some inputs while others remain unchanged.
Long Run
In economics, a period of time during which all factors of production and costs are variable, allowing full adjustment to any change in the market.
ARRA
The American Recovery and Reinvestment Act of 2009, a stimulus package aimed at helping the United States recover from the Great Recession.
IGM Poll
A survey conducted by the Initiative on Global Markets (IGM) that gathers opinions from economists on various economic policy issues.
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