Data structures and algorithms in C++
2nd Edition
ISBN: 9780470460443
Author: Goodrich
Publisher: WILEY
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What are the requirements for determining if a linked list T is empty if T is one of the following: (i) a simple singly linked list, (ii) a headed singly linked list, (iii) a simple circularly linked list, or (iv) a headed circularly linked list?
3. The following is a recursive algorithm for a preorder binary tree traversal. Determine the
worst-case runtime of this algorithm where the proper binary tree t has n internal nodes (non
null nodes). Do this by specify the recurrence equation for the runtime T(n) and then
deriving the closed form. Count the comparison v != null as 1 primary operation and the
call processNode(t,v) as c primary operations, where c is some constant.
Algorithm preorder(Tree t, TreeNode v)
Input: Binary tree t of size n and node v of t
Output: None
if v!= null then
end
end
processNode(t.v)
preorder(t,v.getLeft())
preorder(t,v.getRight())
Describe a fast recursive algorithm for reversing a singly linked list L, sothat the ordering of the nodes becomes opposite of what it was before.
Code and describe each code.
Chapter 7 Solutions
Data structures and algorithms in C++
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- write a code to Find the minimum node of a BST. Use either recursive or non-recursive approach.arrow_forwardWhat are the conditions for testing whether a linked list T is empty, if T is a(i) simple singly linked list, (ii) headed singly linked list, (iii) simple circularlylinked list or (iv) headed circularly linked list?arrow_forwardGiven a singly linked list, print reverse of it using a recursive function printLinkedList( node *first ) where first is the pointer pointing to the first data node. For example, if the given linked list is 1->2->3->4, then output should be: 4 3 2 1 (note the whitespace in between each data value)arrow_forward
- Find the minimum node of a BST. Use either recursive or non-recursive approach.arrow_forwardThe BST remove algorithm traverses the tree from the root to find the node to remove. When the node being removed has 2 children, the node's successor is found and a recursive call is made. One node is visited per level, and in the worst-case scenario, the tree is traversed twice from the root to a leaf. A BST with N nodes has at least log2N levels and at most N levels. Therefore, the runtime complexity of removal is best case O(logN) and worst case O(N). Two pointers are used to traverse the tree during removal. When the node being removed has 2 children, a third pointer and a copy of one node's data are also used, and one recursive call is made. Thus, the space complexity of removal is always O(1)." I have to explain this clearly! and the advantages of the BST algorithimarrow_forwardWrite a program in classes c++ that show how to pass a user-defined function as a parameter to the binary tree traversal algorithms and show how to use the inorder traversal function. (Data structure and algorithm)arrow_forward
- In this question, you are to implement two functions for reversing linked lists. One function, reverse_iter(..), must use an iterative approach (i.e., loops), whereas the other function, reverse_rec(..), must use recursion instead. We have already implemented the linked list as well as all its helper-functions in the Ilist-module.arrow_forwardGiven a reference to a binary tree t. I am trying to write a python function using recursion that will check if an integer called k is stored in a leaf node in the tree. if not stored it should return false but if it is I want it to return True. starting function: def in_leaf(t,k):arrow_forwardWrite a program in C++ that show how to pass a user-defined function as a parameter to the binary tree traversal algorithms and show how to use the in-order traversal function.arrow_forward
- Develop a topological sort implementation thatmaintains a vertex-indexed array that keeps track of the indegree of each vertex. Initialize the array and a queue of sources in a single pass through all the edges Then, perform the following operations until the source queue is empty:■ Remove a source from the queue and label it.■ Decrement the entries in the indegree array corresponding to the destinationvertex of each of the removed vertex’s edges.arrow_forwardWhat prerequisites must be met in order to determine whether a linked list T is empty, (i) simple singly linked list, (ii) headed singly linked list, (iii) simple circularlylinked list or (iv) headed circularly linked list?arrow_forwardIt is required to implement the TDA graph (variant 1, Shiflet) using adjacency represented by simply chained unordered lists. The following will be implemented operators: InitGraf, GrafVid, InserNod, InserArc, DeleteNode, DeleteArc. the performance of the operators implemented in terms of the O function.arrow_forward
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