Question: Problem 2. a) Give an O(n)-time algorithm for computing the height of each node in a tree T and the height of T itself, where

Problem 2. a) Give an O(n)-time algorithm for computing the height

Problem 2. a) Give an O(n)-time algorithm for computing the height of each node in a tree T and the height of T itself, where n is the number of nodes of T. Assume the existence of methods set Height(v,h) and get Height(v) that run in O(1) time. Design alg #ti#, #EAEAAkize the following operations on a binary tree T of size n, and analyze their worst-case running time. Your algorithms should avoid performing traversals of the entire tree. b) postorderNext(v): return the node visited after node v in a postorder traversal of T. c) inorder Prev(v): return the node visited before node v in an inorder traversal of T

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