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- Q5. a. A binary search tree may be balanced or unbalanced based on the arrangement of the nodes of the tree. With you knowledge in Binary search tree:i. Explain the best and worst case scenarios of the time and space complexity of both type of binary trees above.b. Using your knowledge in binary tree traversals, implement the following tree traversing algorithms in either Java or C++, i. inorder, ii. preorder iii. and postorder traversalConsider the following statements: a. Kruskal’s algorithm might produce a non-minimal spanning tree.b. Kruskal’s algorithm can efficiently implemented using the disjoint-set data structure. a is true but b is falseBoth a and b are falseBoth a and b are trueb is true but a is falseAll of the following are true EXCEPT: An empty tree is defined to have a height of 1. The depth of a node p is the number of ancestors of p, other than p itself. The height of a tree to be equal to the maximum of the depths of its nodes (or zero, if the tree is empty). The height of a node p in a tree T: • If p is a leaf, then the height of p is 0. • Otherwise, the height of p is one more than the maximum of the heights of p's children.
- a. Build a Binary Search Tree from the list A = <cow, 1924, milk, orange, California, rosy, pencil, 1975> using alphabetical order assuming digits are less than letters; b. Give a high level description of an algorithm (not pseudo code) to build a minimum height BST from a sorted array. What is the time complexity of your algorithm? c. Design an algorithm (pseudo code) to find the lowest common ancestor of two given nodes (the root of the smallest subtree above the given nodes) in a BST. What is the time complexity of your algorithm?write a java/c++ code or an algorithm to solve the following problem. After that dry run and show output of algorithm using an example binary tree. Without dry run no marks will be awarded. Write a recursive function/algorithm that finds the minimum value node from a Binary tree. (Caution: This is a simple binary tree not binary search tree i.e; tree is not in any order. So minimum node may be anywhere in tree.)2 ASAP PLEASE.... Define a Haskell instance of the Functor class for the following type of binary tree with data in nodes and leaves: The definition should be used as below.data Tree a = Leaf a | Node a (Tree a) (Tree a) Note: I need code for exactly as above, noooooooooooooo expalanations, just code for above.
- Create a binary linked tree, and traverse the tree by using the recursive function. The structure of the tree is as follow: //PICTURE// You should input the nodes in pre-order sequence. If a child of a node is NULL, input a space. Write the function of create binary tree, pre-order to print the nodes, in-order to print the nodes and post-order to print the nodes. Also Count the height of the tree. PLEASE USE C LANGUAGEQuestion 5: Add Leaves Implement add_d_leaves, a function that takes in a Tree instance t and mutates it so that at each depth d in the tree, d leaves with labels v are added to each node at that depth. For example, we want to add 1 leaf with v in it to each node at depth 1, 2 leaves to each node at depth 2, and so on. Recall that the depth of a node is the number of edges from that node to the root, so the depth of the root is 0. The leaves should be added to the end of the list of branches. def add_d_leaves(t, v): """Add d leaves containing v to each node at every depth d. > > > t1 = Tree(1, [ Tree(3)]) > > > add_d_leaves(t1, 4) > > > t1 Tree(1, [Tree(3, [Tree(4)])]) > > > t2 = Tree(2, [Tree(5), Tree (6)]) > > > t3 = Tree(3, [t1, Tree(0), t2]) > > > add_d_leaves (t3, 10) > > > print(t 3) 3 1 3 4 10 10 10 10 10 10 0 10 2 5 10 10 6 10 10 10 """ def add_leaves(t, d): "*** YOUR CODE HERE **** add_leaves (t, 0)Data structure ( C++ ). I want to ask If my answer for this question is correct or not ? 6. Write an algorithm of Searching of Minimal and Maximal Keys in the Binary Search Tree; MINIMUM(x) { While (left[x]!=nil) x=left[x]; Return x; } MAXIMUM(x) { While (right[x]!=nil) x=right[x]; Return x; }
- Write a F# function, count, to search a tree defined by the following discriminated union. It is an unbalanced tree composed of nodes with either two or three children. type Tree23 = | Empty | Node2 of int * Tree23 * Tree23 | Node3 of int * Tree23 * Tree23 * Tree23 Your search should traverse the entire tree looking for the given search item amongst all the integer values. It returns the number of times the searched for item is found in the values of all the tree nodes. > count 4 (Node2 (4, Node2 (2, Empty, Empty), Node3 (4, Empty, Empty, Empty))) val it : int = 2} 20. In a binary search tree, the immediate predecessor of a given node is the largest node in its left subtree. For example, the immediate predecessor of node 25 in the following tree is 23 while it is 15 for node 16. Nodes 21 and 39 do not have an immediate predecessor because none of them has a left child. 25 / 1 Write a non-recursive method immediate Predecessor, which takes a BSTNode parameter node (a reference to a node in a binary search tree) and returns a reference to its immediate predecessor in the tree. If node is null or it does not have an immediate predecessor, the method returns null. public class BSTNode 4 { private int m_info; private BSTNode m_left; private BSTNode m_right; public int getInfo() {return m_info; } public void setInfo (int value) {m_info = info; } public BSTNode getLeft () {return m_left; } public void setLeft (BSTNode left) (m_left = left; } public BSTNode getRight () {return m_right;} public void setRight (BSTNode right) {m_right = right;} } public…please give a correct c++ code Write a struct Student that has member variables: (string) first name, (int) age and (double) fee. Implement the Splay tree whose each node has data component an instance of the struct Student. Comparison of the nodes must be made with respect to age. Write the following functions along with necessary functions to: (i) search elements in the tree; (ii) insert nodes in the tree; (iii) print the tree in pre-order traversal fashion; (iv) delete a node from the tree; Implement the following (you can hardcode the inputs): (i) insert seven elements in the tree: (Kabeer, 19, 35.17), (John, 21, 31.65), (Paul, 25, 33.43), (Kaur, 18, 34.93), (Patel, 23, 36.37), (Alexander, 22, 33.78), (Ramesh, 27, 34.46); (ii) print the tree in pre-order fashion; (iii) delete an element from the tree (John, 21, 31.65); (iv) search an element (Alexander, 22, 33.78) in the tree; (v) print the tree in pre-order traversal fashion;