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The time complexity of operations on the binary search tree is directly proportional to the height of the tree. The height or depth of a binary tree is the total number of edges or nodes on the longest path from the root node to the leaf node.
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A Tree in which each node has exactly zero or two children is called full binary tree.
. Write an efficient algorithm to compute the binary trees height. In computer science a binary search tree BST also called an ordered or sorted binary tree is a rooted binary tree data structure whose internal nodes each store a key greater than all the keys in the nodes left subtree and less than those in its right subtree. Let G be a tree then LCA of two nodes u and v is defined as the node w in the tree which is an ancestor of both u and v and is farthest from the root nodeIf one node is the ancestor of another one than that particular node is the LCA of those two nodes.
A binary tree which is completely filled with the possible exception of the bottom level which is filled from left to right is called complete binary tree. For example an empty trees height is 0 and the trees height. Given a binary tree the task is to find the Lowest Common Ancestor of the given two nodes in the tree.
The program should consider the total number of nodes in the longest path. A Tree in which the degree of each node is 2 except leaf nodes is called perfect binary.
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