An outing club plans to offer seven outdoor weekend clinic for its members, namely backpacking (B), caving (C), flat-water canoeing (FWC), rock climbing (RC), such diving (SD), white-water canoeing (WWC), white-water rafting (WWR). The outing club members and the clinics they plan to take are: a) Construct a graph with the clinics as vertices and let the edges reflect groups that share a common member. b) Determine the minimum number of weekends that will be needed to accommodate all of these clinics. c) List each weekend and the clinics that should be offered each weekend