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Consider a complete binary tree whose bottom level is completely filled.   1.If the height of this tree is h, what is the number n of nodes in this tree?   2.In terms of n, how many leaves are in this tree?   3.In terms of n or h, how many ancestors does each of the leaves in this tree have?

Consider a complete binary tree whose bottom level is completely filled.   1.If the height of this tree is h, what is the number n of nodes in this tree?   2.In terms of n, how many leaves are in this tree?   3.In terms of n or h, how many ancestors does each of the leaves in this tree have?

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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Consider a complete binary tree whose bottom level is completely filled.
 
1.If the height of this tree is h, what is the number n of nodes in this tree?
 
2.In terms of n, how many leaves are in this tree?
 
3.In terms of n or h, how many ancestors does each of the leaves in this tree have?
 
4.Let d be the depth of a node in this tree. In terms of d and either n or h, how many descendants does each node in this tree have?
 
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