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목록Data Science/Data Structure & Algorithm (58)
Channi Studies
Insertion AlgorithmGiven a new node, a red-black tree insert operation inserts the new node in the proper location such that all red-lack tree requirements still hold after the insertion completes. It begins by calling BSTInsert to insert the node using the orginary BST insert rules. The newly inserted node is red colored and then a balance operation is performed on this node. RBTreeInsert(tree,..
A red-black tree is a BST with two node types, namely red and black, and supporting operations that ensure the tree is balanced when a node is inserted or removed. Rules:Every node is colored either red or black.The root node is black.A red node's children cannot be red. A null child is considered to be a black leaf node.All paths from a node to any null leaf descendant node must have the same n..
AVL InsertionsInserting an item into an AVL tree may cause the tree to become temporarily unbalanced. A rotation can rebalance the tree.If you have read the pseudocode of rotation carefully, you would've noticed that there is a case labeled as Double Rotation case, where we need to apply two rotations for rebalancing. In the following case, we apply double right rotation at C to rebalance the AV..
Tree Rotation For Balancing Inserting an item into an AVL tree may require rearranging the tree to maintain height balance. A rotation is a local rearrangement of a BST that maintains the BST ordering property while rebalancing the tree. *Rotation is said to be done at a node. Ex. Above, the right rotation is done at node 86.In the example above, if the node 75 had a right child, then the right..