Delete epitaph in binary smoothly

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Aug 6th, 2022
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How to Delete epitaph in binary

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In this lesson, were going to write code to delete a node from binary search tree. In most data structures deletion is tricky. In case of binary search trees too, its not so straightforward. So lets first see what all complications we may have while trying to delete a node from binary search tree. I have drawn a binary search tree of integers here. As we know in a binary search tree for each node value of all nodes in its left subtree is lesser and value of all nodes right subtree is greater. For example, in this tree if Ill pick this node with value 5 then we have 3 and 1 in its left subtree which are lesser and we have 7 and 9 in its right subtree which are greater, and you can pick any other node in the tree and this property will be true else the tree is not a BST. Now when we need to delete a node, this property must be conserved. Lets try to delete some nodes from this example tree and see if we can rearrange these things and conserve the property of binary search tree or no

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Delete function is used to delete the specified node from a binary search tree. However, we must delete a node from a binary search tree in such a way, that the property of binary search tree doesnt violate. There are three situations of deleting a node from binary search tree.
When we delete a node, three possibilities arise. 1) Node to be deleted is the leaf: Simply remove it from the tree. 2) Node to be deleted has only one child: Copy the child to the node and delete the child. 3) Node to be deleted has two children: Find inorder successor of the node.
BST Removing Element Recursively If no children - Just delete. If a single child - Copy that child to the node. If two children - Determine the next highest element (inorder successor) in the right subtree. Replace the node to be removed with the inorder successor. Delete the inorder successor duplicate.
To delete the given node from the binary search tree(BST), we should follow the below rules. Leaf Node. If the node is leaf (both left and right will be NULL), remove the node directly and free its memory. Node with Right Child. Node with Left Child. Node has both left and right child.
Algorithm Create a new BST node and assign values to it. insert(node, key) i) If root == NULL, return the new node to the calling function. ii) if root=data key. call the insert function with root=right and assign the return value in root=right. Finally, return the original root pointer to the calling function.
Approach: Recursion Compare the value of key with the value of root. If the key root - value, recursively traverse the right subtree. If key root - value, recursively traverse the left subtree. While traversing if key == root-value, we need to delete this node: If the node is a leaf, make root = NULL. Return root.
Algorithm Create a new BST node and assign values to it. insert(node, key) i) If root == NULL, return the new node to the calling function. ii) if root=data key. call the insert function with root=right and assign the return value in root=right. Finally, return the original root pointer to the calling function.
Delete function is used to delete the specified node from a binary search tree. However, we must delete a node from a binary search tree in such a way, that the property of binary search tree doesnt violate.

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