Write in Racket (traverse n) A traversal of a BST is an algorithm for “visiting” all node in the BST. The traversal must visit each node exactly once. In the case of a linked list, a traversal is trivial since the structure is linear: start at the head, move to the next node, and stop when you reach the tail. In the case of a BST, traversal must account for multiple child nodes and keep track of which subtrees have already been visited and which have not. There are three types of traversal: in-order, pre-order, and post-order. We will only implement in-order. The in-order traversal of a BST has the property that the node values will display in ascending or sorted order. The function can be defined either recursively or iteratively. Recursion is much simpler, so we’ll stick to that. Recursive Algorithm for In-Order Traversal of BST parameter: node n, the root of the tree or subtree to traverse value or result: list of nodes in traversal order (traverse n) If n is empty, result is empty list Else result is (append traversal of n.left + (list n) + traversal of n.right ) Each part in the recursive step produces a list of nodes. The final result is the append of all the parts.
Write in Racket (traverse n) A traversal of a BST is an algorithm for “visiting” all node in the BST. The traversal must visit each node exactly once. In the case of a linked list, a traversal is trivial since the structure is linear: start at the head, move to the next node, and stop when you reach the tail. In the case of a BST, traversal must account for multiple child nodes and keep track of which subtrees have already been visited and which have not. There are three types of traversal: in-order, pre-order, and post-order. We will only implement in-order. The in-order traversal of a BST has the property that the node values will display in ascending or sorted order. The function can be defined either recursively or iteratively. Recursion is much simpler, so we’ll stick to that. Recursive Algorithm for In-Order Traversal of BST parameter: node n, the root of the tree or subtree to traverse value or result: list of nodes in traversal order (traverse n) If n is empty, result is empty list Else result is (append traversal of n.left + (list n) + traversal of n.right ) Each part in the recursive step produces a list of nodes. The final result is the append of all the parts.
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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How nodes are defined
(struct node (value count left right) #:mutable #:transparent)
Write in Racket
(traverse n)
A traversal of a BST is analgorithm for “visiting” all node in the BST. The traversal must visit each node
exactly once. In the case of a linked list, a traversal is trivial since the structure is linear: start at the
head, move to the next node, and stop when you reach the tail. In the case of a BST, traversal must account
for multiple child nodes and keep track of which subtrees have already been visited and which have not.
There are three types of traversal: in-order, pre-order, and post-order. We will only implement in-order.
The in-order traversal of a BST has the property that the node values will display in ascending or sorted
order. The function can be defined either recursively or iteratively. Recursion is much simpler, so we’ll
stick to that.
A traversal of a BST is an
exactly once. In the case of a linked list, a traversal is trivial since the structure is linear: start at the
head, move to the next node, and stop when you reach the tail. In the case of a BST, traversal must account
for multiple child nodes and keep track of which subtrees have already been visited and which have not.
There are three types of traversal: in-order, pre-order, and post-order. We will only implement in-order.
The in-order traversal of a BST has the property that the node values will display in ascending or sorted
order. The function can be defined either recursively or iteratively. Recursion is much simpler, so we’ll
stick to that.
Recursive Algorithm for In-Order Traversal of BST
parameter: node n, the root of the tree or subtree to traverse
value or result: list of nodes in traversal order
(traverse n)
If n is empty, result is empty list
Else result is
(append
traversal of n.left
+ (list n)
+ traversal of n.right
)
Each part in the recursive step produces a list of nodes. The final result is the append of all the parts.
parameter: node n, the root of the tree or subtree to traverse
value or result: list of nodes in traversal order
(traverse n)
If n is empty, result is empty list
Else result is
(append
traversal of n.left
+ (list n)
+ traversal of n.right
)
Each part in the recursive step produces a list of nodes. The final result is the append of all the parts.
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