Similar to the example in the lecture, assume that we are trying to colour

the map of Australia with three different colours $($red$,$ blue, green$).$ Assume that we

coloured NT $($Northern Territory$)$ as blue and NSW $($New South Wales$)$ as red $(40).$

$3\mathrm{.}1$: Please explain and present the process in which forward checking check the map

and when it identifies that it cannot colour the map.

$3\mathrm{.}2$: Please explain and present the process in which arc consistency check the map

and when it identifies that it cannot colour the map.