F N R M H. Now suppose that, when given a choice between two or more subtrees or a given tree, you always consider them in right-to-left order, relative to what's in that diagram. (In practice, the order is not especially elevant, but, for the purposes of this question, we'll assume right-to-left ordering is required.) 1. In a complete postorder traversal of the tree, in what order would the nodes be visited? What is the maximum number of nodes that would ever be stored on the run-time stack while it runs on this tree, assuming the traversal was implemented recursively? 2. In a complete preorder traversal of the tree, in what order would the nodes be visited? What is the maximum number of nodes that would ever be stored on the run-time stack while it runs on this tree, assuming the traversal was implemented recursively? 3. In a complete breadth-first traversal of the tree, in what order would the nodes be visited? What is the maximum number of nodes that would ever be stored in the queue at any given time while it runs on this tree?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Consider the following general tree, which you saw in the Tree Traversals notes.
X.
F
N
M
H
Now suppose that, when given a choice between two or more subtrees or a given tree, you always consider them in right-to-left order, relative to what's in that diagram. (In practice, the order is not especially
relevant, but, for the purposes of this question, we'll assume right-to-left ordering is required.)
1. In a complete postorder traversal of the tree, in what order would the nodes be visited? What is the maximum number of nodes that would ever be stored on the run-time stack while it runs on this tree,
assuming the traversal was implemented recursively?
2. In a complete preorder traversal of the tree, in what order would the nodes be visited? What is the maximum number of nodes that would ever be stored on the run-time stack while it runs on this tree,
assuming the traversal was implemented recursively?
3. In a complete breadth-first traversal of the tree, in what order would the nodes be visited? What is the maximum number of nodes that would ever be stored in the queue at any given time while it runs
on this tree?
Transcribed Image Text:Consider the following general tree, which you saw in the Tree Traversals notes. X. F N M H Now suppose that, when given a choice between two or more subtrees or a given tree, you always consider them in right-to-left order, relative to what's in that diagram. (In practice, the order is not especially relevant, but, for the purposes of this question, we'll assume right-to-left ordering is required.) 1. In a complete postorder traversal of the tree, in what order would the nodes be visited? What is the maximum number of nodes that would ever be stored on the run-time stack while it runs on this tree, assuming the traversal was implemented recursively? 2. In a complete preorder traversal of the tree, in what order would the nodes be visited? What is the maximum number of nodes that would ever be stored on the run-time stack while it runs on this tree, assuming the traversal was implemented recursively? 3. In a complete breadth-first traversal of the tree, in what order would the nodes be visited? What is the maximum number of nodes that would ever be stored in the queue at any given time while it runs on this tree?
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