
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN: 9780133594140
Author: James Kurose, Keith Ross
Publisher: PEARSON
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Transcribed Image Text:If a node in the above binary search tree
is to be located by binary tree search
operation, what is the expected average
number of comparisons required to
locate one of the nodes in the tree
chosen at random?
O3
O1.75
O2
O 2.75
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- A worst-case binary tree sort using a self-balancing binary search tree takes O(n log n) time. Merge sort is substantially faster.arrow_forwardIn a binary search tree, to remove a node N that has left child C1 and right child C2, we do the following: Group of answer choices We make C1 the left child of N’s parent and C2 the right child of N’s parent We make C1 the right child of N’s parent and C2 the left child of N’s parent We find the largest item L in N’s left subtree, copy the contents of L to N, and remove L We find the smallest item S in N’s right subtree, copy the contents of S to N, and remove N We find the largest item L in N's right subtree, copy the contents of L to N, and remove Larrow_forwardThis algorithm find the value of the largest item in a binary search tree. What is the time complexity of this algorithm, and why? int maxValue(node *root) { int max; max = maximum(root) return max; // if max equals -1, then the binary search tree was empty } int maximum(node *node) { if (node == NULL) { return -1; { else { int value = node->value; int left = maximum(node->left); int right = maximum(node->right); if (value < left) { value = left; } if (value < right) { value = right; } return value; } {arrow_forward
- According to the following requests, please draw the operations procedure of binary search tree as step by step. Note: The deletion of double child nodes adopts the left subtree uniformly Input: 53, 82, 77, 37, 26, 45, 87, 18, 66, 12, 84, 79 Delete: 12, 77 Input: 58, 23, 51, 16, 95, Delete: 53arrow_forwardChoose the correct answer: If the value stored at every node x is less than or equal to the value stored at the parent of x, except the root which has no parent then the tree follows the: O Binary search property O None of the options O Max-heap order property O Min-heap order propertyarrow_forwardIn the worst-case scenario, binary tree sort employing a self-balancing binary search tree requires O(n log n) time.arrow_forward
- Even in the worst case scenario, using a self-balancing binary search tree to do a binary tree sort takes O(n log n) time, which is much longer than the time required for merge sort.arrow_forwardScenario 3: Computing a Tree The algorithm for building phylogenetic trees is O(n^4). Suppose you need to build a tree of 1,000 items. On your computer, it takes 1 minute to build a tree of 200 items. How long will it take to build a tree of the complete data set?arrow_forwardUsing a self-balancing binary search tree, binary tree sort is nevertheless slower than merge sort, taking O(n log n) time in the worst case.arrow_forward
- Use the Binary Search Tree (BST) insertion algorithm to insert 0078 into the BST below. List the nodes of the resulting tree in pre-order traversal order separated byłone blank character. For example, the tree below can be described in the above format as: 75 53 24 57 84 77 76 82 92 0075 0053 0084 0024 0057 0077 0092 0076 0082arrow_forwardThe minimum height of a binary search tree win n keys is log2 n. Select one: True or Falsearrow_forwardHow many comparisons are needed to find that 22 is not in the tree? 12 28 2 4 3 1arrow_forward
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