$8+2+2$ pts$)$ In the following $4-$queens board, $4$ pairs of queens attack each other. Let the value function be defined as $($board$)=6-$ #attacking pairs. Therefore, it has the value $6-4=2.$ Suppose a successor of a board is generated by first selecting a row and then moving the queen in that row to the position in that same row where the board's value would be maximized $($keeping the other queens unchanged from the parent configuration$),$ with ties broken randomly. This way, each given board $($like the one below$)$ will have $4$ successors. a$)$ Generate the $4$ successors of the following board $($the answer will not be unique$)$ and show their values: