Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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What is the best-case scenario in terms of search complexity for binary search trees?
- O(N-1). N is number of nodes in the tree
- O(log N). N is height of the tree
- O(log N). N is number of nodes in the tree
- O(N). N is number of nodes in the tree
- O(N+1). N is number of nodes in the tree
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- Beginning with an empty binary search tree, what binary search tree is formed when you add the following values in order given? You can answer the question below or upload a picture of your answer. (a) W, T, N, J, E, B, A (b) В, Т, Е, А, N, W, J (c) W, T, N, A, B, Е, J (d) A, B, W, J, N, T, E The English Alphabet consists of 26 letters: A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z.arrow_forwardA worst-case scenario for a binary tree sort that uses a self-balancing binary search tree is O(n log n) time. The merge sort method is much faster than this one.arrow_forwardBeginning with an empty binary search tree, what binary search tree is formed when you insert the following values in the order given?(Values are compared in alphabet order, e.g., A < B)(a) W, T, N, B, A, J, E(b) W, T, N, A, B, E, J(c) A, B, J, W, N, T, E(d) N, A, T, E, B, W, Jarrow_forward
- The Delete algorithm for a binary search tree retrieves and deletes the inorder successor when the node being deleted has two children. In this case the inorder successor is found as: O a. the smallest value in the left subtree. O b. the largest value in the right subtree. O c. the largest value in the left subtree. O d. None of these are correct O e. the smallest value in the right subtree.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
- Solve T(n) 4T(n/2) + O(n³) using the recursion tree method. • Tree depth: • each subproblem size at depth d:arrow_forwardIn the binary search tree, write a function that takes in a root, p, and checks whether the tree rooted in p is a binary search tree or not. What is the time complexity of your function? def is_bst(self, p: Node):arrow_forwardWhat is the most popular application of in-order traversal in binary search trees? Please don't just copy and paste someone else's answer it will result in automatic thumbs down.arrow_forward
- Let T be a binary search tree with n nodes, in which n > 0. When T is linear, the search algorithm makes key comparisons, in the unsuccassful case.arrow_forwardDraw all possible binary search trees with the values 1, 2, 3, and 4.arrow_forwardThe minimum height of a binary search tree win n keys is log2 n. Select one: True or Falsearrow_forward
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