SystemsFall $20242.(25$ points$)$ In the spirit of this week's U$.$S$.$ Presidential Election, consider the following constraint satisfaction problem.In this year's election, there are seven "battleground states," which are states that are in range for either the Republican candidate $($R$)$ or the Democratic candidate $($D$)$ to win. They are: Georgia $($GA$),$ North Carolina $($NC$),$ Pennsylvania $($PA$),$ Michigan $($MI$),$ Wisconsin $($WI$),$ Arizona $($AZ$),$ and Nevada $($NV$).$Suppose we have the following constraints on who can win these states:MI$,$ WI$,$ and PA will all vote for the same candidateNV will not vote to the "right" of AZ$,$ i$.$e$.,($NV$=$RA AZ$=$D$)$NC will not vote to the "left" of PA$,$ i$.$e$.,($PA$-$RA GA$=$D$)$NV will only vote for whoever wins the most battleground statesTo make this election really close $($Update$/$disclaimer: this question was written well before the actual results came in$!),$ no candidate can win more than four battleground states.a$.(8$ points$)$ What are the variables and domains?

Question $2$ solve the problem using AC$-3$