While installing fiber optics, some companies will install a SONET ring; a full loop of cable connecting multiple locations. This is used so that if any part of the cable is damaged, it does not interrupt service, since there is a second connection to the hub. A company has 5 buildings. Costs (in thousands) to lay cables between pairs of buildings are shown below. a. Find the circuit that will minimize cost using Nearest Neighbor starting at building A. b. Find the circuit that will minimize cost using Sorted Edges (starting with CE).