Suppose that the Australia map$-$coloring problem can be decomposed into a tree structure shown below with multiple subproblems. In each subproblem, we still have the constraint that no adjacent states may have the same color, and only one of three colors $($green$,$ red, blue$)$ may be selected for each state. How many different ways can we assign colors for the $"$WA$-$NT$-$SA$"$ group? Given one specific assignment of colors for the $"$WA$-$NT$-$SA$"$ group, how many consistent solutions exist for the next group $"$NT$-$SA$-$Q$"$