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Question Which of the following statements about balanced search trees are true? Unless otherwise specified, assume that the 2-3 tree and red-black BSTS are as described in lecture (e.g., 2-3 trees are perfectly balanced and red-black BST are left-leaning red-black BSTS with internal links colored either red or black). Answer Mark all that apply. OThe minimum height of any 2-3 tree containing n keys is - log_3 n. OThe subtree rooted at any node of a 2-3 tree is itself a 2-3 tree. OThe number of structurally different (with respect to tree shape and link colors) red-black BSTS containing 4 keys is 2. UThe height of any red-black BST equals the height of the corresponding 2-3 tree plus the maximum number of 3-nodes on any path from the root to a leaf node. OFor any sequence of n>1 keys inserted into an initially empty red-black BST, the resulting red-black BST has at least one red link.

Question Which of the following statements about balanced search trees are true? Unless otherwise specified, assume that the 2-3 tree and red-black BSTS are as described in lecture (e.g., 2-3 trees are perfectly balanced and red-black BST are left-leaning red-black BSTS with internal links colored either red or black). Answer Mark all that apply. OThe minimum height of any 2-3 tree containing n keys is - log_3 n. OThe subtree rooted at any node of a 2-3 tree is itself a 2-3 tree. OThe number of structurally different (with respect to tree shape and link colors) red-black BSTS containing 4 keys is 2. UThe height of any red-black BST equals the height of the corresponding 2-3 tree plus the maximum number of 3-nodes on any path from the root to a leaf node. OFor any sequence of n>1 keys inserted into an initially empty red-black BST, the resulting red-black BST has at least one red link.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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**Question** Which of the following statements about balanced search trees are true? Unless otherwise specified, assume that the 2-3 tree and red-black BSTs are as described in lecture (e.g., 2-3 trees are perfectly balanced and red-black BST are left-leaning red-black BSTs with internal links colored either red or black). **Answer** *Mark all that apply.* - [ ] The minimum height of any 2-3 tree containing n keys is ~log₃ n. - [ ] The subtree rooted at any node of a 2-3 tree is itself a 2-3 tree. - [ ] The number of structurally different (with respect to tree shape and link colors) red-black BSTs containing 4 keys is 2. - [ ] The height of any red-black BST equals the height of the corresponding 2-3 tree plus the maximum number of 3-nodes on any path from the root to a leaf node. - [ ] For any sequence of n > 1 keys inserted into an initially empty red-black BST, the resulting red-black BST has at least one red link.
Transcribed Image Text:**Question** Which of the following statements about balanced search trees are true? Unless otherwise specified, assume that the 2-3 tree and red-black BSTs are as described in lecture (e.g., 2-3 trees are perfectly balanced and red-black BST are left-leaning red-black BSTs with internal links colored either red or black). **Answer** *Mark all that apply.* - [ ] The minimum height of any 2-3 tree containing n keys is ~log₃ n. - [ ] The subtree rooted at any node of a 2-3 tree is itself a 2-3 tree. - [ ] The number of structurally different (with respect to tree shape and link colors) red-black BSTs containing 4 keys is 2. - [ ] The height of any red-black BST equals the height of the corresponding 2-3 tree plus the maximum number of 3-nodes on any path from the root to a leaf node. - [ ] For any sequence of n > 1 keys inserted into an initially empty red-black BST, the resulting red-black BST has at least one red link.
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