Question 3 (25 points): The map of Australia is shown below with its principal states and territories (figure a). Figure b shows how these principal states and territories share borders (if there is a line between two, then they share a border). (a) The map has to be colored, and only four colors (red, green, blue, yellow) are allowed under the condition that two states sharing a border cannot have the same color. Express this as a constraint satisfaction problem (CSP) by creating the relevant variables writing the domains of these variables and writing the constraints (b) Does this CSP problem have a solution if only two colors are allowed? Why or why not? NT 0 WA TeritoryOucensland SA South New South Wales Victoria Tasmania tb)