python implementation complete implementation of redblacktreemap class is provided in code fragments through it inherits from the standard treemap class and relies on the balancing framework described in section we beginin code fragment by overriding the definition of the nested node class to introduce an additional boolean field to denote the current color of node our constructor intentionally sets the color of new node to red to be consistent with our approach for inserting items we define several additional utility functionsat the top of code fragment that aid in setting the color of nodes and querying various conditions when an element has been inserted as leaf in the treethe rebalance insert hook is calledallowing us the opportunity to modify the tree the new node is red by defaultso we need only look for the special case of the new node being the root (in which case it should be colored black)or the possibility that we have double-red violation because the new node' parent is also red to remedy such violationswe closely follow the case analysis described in section the rebalancing after deletion also follows the case analysis described in section an additional challenge is that by the time the rebalance hook is calledthe old node has already been removed from the tree that hook is invoked on the parent of the removed node some of the case analysis depends on knowing about the properties of the removed node fortunatelywe can reverse engineer that information by relying on the red-black tree properties in particularif denotes the parent of the removed nodeit must be thatif has no childrenthe removed node was red leaf (exercise - if has one childthe removed node was black leafcausing deficitunless that one remaining child is red leaf (exercise - if has two childrenthe removed node was black node with one red childwhich was promoted (exercise - class redblacktreemap(treemap) """sorted map implementation using red-black tree "" class node(treemap node) """node class for red-black tree maintains bit that denotes color ""slots _red add additional data member to the node class def init (selfelementparent=noneleft=noneright=none) superinit (elementparentleftrightnew node red by default self red true code fragment beginning of the redblacktreemap class (continued in code fragment