A $=[7,2,1,3,5,8,9,10,6,4]$ Show how the tree changes for each insertion and rotation. Be sure to indicate whether a node is red or black. Describe any imbalance in the tree $($e$.$g$.$ LL$,$ LR$,$ RL$,$ RR$).$ Then show how to fix the imbalances through rotations and when you recolor nodes. In other words, draw the tree for each major change $($e$.$g$.$ insert $/$ rotation$),$ showing the transitions with arrows.