python implementation complete implementation of an avltreemap class is provided in code fragments and it inherits from the standard treemap class and relies on the balancing framework described in section we highlight two important aspects of our implementation firstthe avltreemap overrides the definition of the nested node classas shown in code fragment in order to provide support for storing the height of the subtree stored at node we also provide several utilities involving heights of nodesand the corresponding positions to implement the core logic of the avl balancing strategywe define utilitynamed rebalancethat suffices as hook for restoring the height-balance property after an insertion or deletion although the inherited behaviors for insertion and deletion are quite differentthe necessary post-processing for an avl tree can be unified in both caseswe trace an upward path from the position at which the change took placerecalculating the height of each position based on the (updatedheights of its childrenand using trinode restructuring operation if an imbalanced position is reached if we reach an ancestor with height that is unchanged by the overall map operationor if we perform trinode restructuring that results in the subtree having the same height it had before the map operationwe stop the processno further ancestor' height will change to detect the stopping conditionwe record the "oldheight of each node and compare it to the newly calculated height class avltreemap(treemap) """sorted map implementation using an avl tree "" nested node class class node(treemap node) """node class for avl maintains height value for balancing ""slots _height additional data member to store height def init (selfelementparent=noneleft=noneright=none) superinit (elementparentleftrightwill be recomputed during balancing self height def left height(self) return self left height if self left is not none else def right height(self) return self right height if self right is not none else code fragment avltreemap class (continued in code fragment