12. How many recursive calls needed to build this perfect binary tree? Please show the detailed step by step calculation from the following recursive definition in the box.| 1. Base Case: If a single node has no children, it is a perfect binary tree of height h =0 2. Ifa node has h>0, it is a perfect binary tree if both of its subtrees are of height h - 1 and are non-overlapping or in other words- "If T is a perfect binary tree, then a new perfect binary tree T can be constructed by taking two copies of T, adding a new vertex y and adding edges between v and the roots of each copy of T. The new vertex v is the root of T"

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
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12. How many recursive calls needed to build this perfect binary tree? Please show the
detailed step by step calculation from the following recursive definition in the box.
Base Case: If a single node has no children, it is a perfect binary tree of height h = 0
If a node has h> 0, it is a perfect binary tree if both of its subtrees are of height h- 1 and are
non-overlapping or in other words- "If T is a perfect binary tree, then a new perfect binary
tree T' can be constructed by taking two copies of T, adding a new vertex y and adding edges
between v and the roots of each copy of T. The new vertex v is the root of T"
1.
2.
Transcribed Image Text:12. How many recursive calls needed to build this perfect binary tree? Please show the detailed step by step calculation from the following recursive definition in the box. Base Case: If a single node has no children, it is a perfect binary tree of height h = 0 If a node has h> 0, it is a perfect binary tree if both of its subtrees are of height h- 1 and are non-overlapping or in other words- "If T is a perfect binary tree, then a new perfect binary tree T' can be constructed by taking two copies of T, adding a new vertex y and adding edges between v and the roots of each copy of T. The new vertex v is the root of T" 1. 2.
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