Suppose, there are five teams in a competition. You are trying to assign a flag color for each team. There are six flags of six different colors available (Red, Blue, Green, Yellow, Purple and White). Each team must have a distinct flag color. However, each team has provided their preference which must be followed. They are: Team 1 wants to use Purple or White. Team 2 wants to use Blue or White. Team 3 wants to use Purple or Blue. Team 4 club wants to use Red, Green or Blue. Team 5 is okay with any color except Yellow. Formulate this problem as a CSP. Draw the constraint graph. Show the steps followed by backtracking search algorithm and derive a solution.