Problem 1. Consider the Binary Search Tree (BST) in the figure. Each node has a label, which is not the node key. The keys in the nodes satisfy the BST property. N1 N2 NS N4 N8 N3 N11 N10 N9 N15 N14
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- 8. Construct a Binary Search tree (BST) from the following data: 150, 200, 100, 50, 180, 130, 250, 75, 160, 275, 120, 190, 170, 165. and answer the following: (i). What is the level of the node containing 250? (ii). What is the height of the BST? (iii). What will be the resultant BST, if the root node (150) is deleted from the BST?Consider the following binary search tree (BST) with the node (#70) circled in red. Due to a programming error, this node cannot be visited /accessed, resulting in the tree's inability to accommodate certain numeric values when inserted. Given the described situation, we insert a value 89 into this BST. Which node # becomes this value 89's parent? O O 70 80 O 75 O 90 15 20 18 23 25 30 35 50 error node, cannot be visited 45 65 68 80 75 90 95 100 150= Suppose that we have a B and the size of the search key field V is equal to 10 bytes, the size of the data (record) pointer Pr 6 bytes, and the tree (block) pointer P is 5 bytes and the value of p (the order or the maximum number of a tree pointers in a node) is equal to 20 for an internal node. a) Calculate the block size (B) b) Suppose that we have a B- tree instead of B and based on the block size found in question (a), calculate the order (p) for an internal node in this case.
- Question Three A. Given the following Binary Search Tree (BST) 1. Write the pre-order of the nodes visited: 2. What is the height of the tree? 3. Remove the node E from the tree and re-draw the tree after removing the nodeThe order of an internal node in a B* tree index is the maximum number of children it can have. Suppose that a child pointer takes 6 bytes, the search field value takes 14 bytes., and the block size is 512 bytes. What is the order of the internal node?There is a data set that describes the email contacts between people in a University department. The data set is as follows: 0 1 0 2 0 6 1 0 1 3 1 5 2 0 2 4 3 1 3 5 3 6 4 2 4 5 5 1 5 3 5 4 6 0 6 3 There are totally 7 ids, representing 7 individuals. The two columns are the ids of persons. The id pair in a row represents an email contact relationship between the node pairs. For example, the first row ‘0 1’ means an individual with id 0 and an individual with id 1 have an email contact. All the individuals and their relationship constitute an email contact network, which is a graph in data structure. Based on the data set, please implement the following tasks: Establish a graph data structure using the adjacent list method. Source code: Running snapshot: Let node 0 as the origin and do the BFS traverse of the graph. Print out the BFS traverse…
- Given the following binary search tree, 1 / 3 831 83 64 8 10 4 1 8367 8 6 13 If you are searching for a node of value 5, what is a valid sequence of visited nodes? 7 10 1 1 14Create a binary linked tree, and traverse the tree by using the recursive function. The structure of the tree is as follow: 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. Count the height of the tree. Header file typedef char ElemType; typedef struct node//define the type of binary tree node { }BTnode; Source file #include <stdio.h> #include <stdlib.h> #include "tree.h" BTnode * createTree()//create the binary tree,return the root { BTnode *tnode;// tnode is the root char elem; ;//input the character //if the input is a space,set the pointer as NULL Else// if the input is not a space,generate the binary node and create its left sub-tree and right…QUESTION 6 The infix notation A+ B*C - D is converted into postfix. The correct postfix is O a. ABC * - D + O b. ABC + * D- O C. ABC - + D* O d. ABC * + D - QUESTION 7 The postfix expression 5 2 4 * + 3 + evaluates to: O a. 23 O b. 16 O c. 39 O d. 43
- Create a binary linked tree, and traverse the tree by using the recursive function. The structure of the tree is as follows: //check pic// 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. Count the height of the tree. Hints: Header file typedef char ElemType; typedef struct node//define the type of binary tree node { }BTnode; Source file #include <stdio.h> #include <stdlib.h> #include "tree.h" BTnode * createTree()//create the binary tree,return the root { BTnode *tnode;// tnode is the root char elem; ;//input the character //if the input is a space,set the pointer as NULL Else// if the input is not a space,generate the binary node and create its left…Q1 PLEASE QUESTION 1:(a) Draw a binary search tree (BST) after the insertion of keys: 8, 3, 2, 1, 4, and 9, in this order.(b) List the node keys of the above BST in pre-order, in-order, and post-order, respectively.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. Count the height of the tree.