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R-11.11 Consider a deletion operation in an AVL tree that triggers a trinode restructuring for the case in which both children of the node denoted as y have equal heights. Give a schematic figure, in the style of Figure 11.12, showing the tree before and after the deletion. What is the net effect of the height of the rebalanced subtree due to the operation? h+2 h+1 h-17 Xh-1 T3 (a) h+3 h+2 h+1 h-1 12 13 (b) h+2 h+1 h+1 h- 1 Tz T4 (c) Figure 11.12: Rebalancing of a subtree during a typical insertion into an AVL tree: (a) before the insertion; (b) after an insertion in subtree Tz causes imbalance at z; (c) after restoring balance with trinode restructuring. Notice that the overall height of the subtree after the insertion is the same as before the insertion. R-11.11 Consider a deletion operation in an AVL tree that triggers a trinode restructuring for the case in which both children of the node denoted as y have equal heights. Give a schematic figure, in the style of Figure 11.12, showing the tree before and after the deletion. What is the net effect of the height of the rebalanced subtree due to the operation? h+2 h+1 h-17 Xh-1 T3 (a) h+3 h+2 h+1 h-1 12 13 (b) h+2 h+1 h+1 h- 1 Tz T4 (c) Figure 11.12: Rebalancing of a subtree during a typical insertion into an AVL tree: (a) before the insertion; (b) after an insertion in subtree Tz causes imbalance at z; (c) after restoring balance with trinode restructuring. Notice that the overall height of the subtree after the insertion is the same as before the insertion