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When inserting a key into a max-oriented binary heap with n keys, which of the following properties must the corresponding binary tree have immediately after a call to exch(O ? Assume that all of the keys are distinct. Mark all that apply. The root node contains either the largest or the second largest key. The smallest key appears in the bottom-most level of the binary tree. If heap order is violated, it could be restored by decreasing the value of the key in one node. The level-order traversal of the tree is in reverse-sorted order, except possibly in one place. The height of the tree is log, n.

When inserting a key into a max-oriented binary heap with n keys, which of the following properties must the corresponding binary tree have immediately after a call to exch(O ? Assume that all of the keys are distinct. Mark all that apply. The root node contains either the largest or the second largest key. The smallest key appears in the bottom-most level of the binary tree. If heap order is violated, it could be restored by decreasing the value of the key in one node. The level-order traversal of the tree is in reverse-sorted order, except possibly in one place. The height of the tree is log, n.

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:** When inserting a key into a max-oriented binary heap with *n* keys, which of the following properties must the corresponding binary tree have immediately after a call to `exch()`? Assume that all of the keys are distinct. **Mark all that apply.** 1. The root node contains either the largest or the second largest key. 2. The smallest key appears in the bottom-most level of the binary tree. 3. If heap order is violated, it could be restored by decreasing the value of the key in one node. 4. The level-order traversal of the tree is in reverse-sorted order, except possibly in one place. 5. The height of the tree is approximately \(\log_2 n\).
Transcribed Image Text:**Question:** When inserting a key into a max-oriented binary heap with *n* keys, which of the following properties must the corresponding binary tree have immediately after a call to `exch()`? Assume that all of the keys are distinct. **Mark all that apply.** 1. The root node contains either the largest or the second largest key. 2. The smallest key appears in the bottom-most level of the binary tree. 3. If heap order is violated, it could be restored by decreasing the value of the key in one node. 4. The level-order traversal of the tree is in reverse-sorted order, except possibly in one place. 5. The height of the tree is approximately \(\log_2 n\).
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