Question 6 (see above) Which of the following are equivalent to the statement "No librarians have checked out any books"? Select all that apply. A. Vm E M.b E B.L(m) →¬C(m, b) B. O-3m E M.vb E B.L(m) A C(m, b) C. O Vm E M.b E B.¬C(m, b) → L(m) D. O-3m E M.3b E B.L(m) A C(m, b) E. O Vb E B.¬3m E M.L(m) A C(m, b) F.O Vm E M. E B.C(m, b) → ¬L(m)
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- Implementing a simple binary search tree capable of storing and retrieving student information. The class should have private member variables (each separated by a tab): student's id number - an integer student's name - a string student's declared major The class should have private member functions as a minimum: openFile - opens the input file testFile - tests the input file has been opened properly readFile - reads in one student's information closeFile - close the input file insert - inserts the students information into the proper place in the tree structure search - search for the student id entered by the user inorder - traverses the tree structure prompt - prompts the user for a student id number validate - validate the user input value display - display the contents of the binary tree results - student id found or not found result The class should have public member functions class constructor (if needed) driver - order of execution The input file layout:student id…IN C LANGUAGE I HAD AN ERROR. URGENT!! struct Graph* createGraph(int V, int E){ struct Graph* graph = new Graph; graph->V = V; graph->E = E; graph->edge = new Edge[E]; return graph;} // A structure to represent a subset for union-findstruct subset { int parent; int rank;}; // A utility function to find set of an element i// (uses path compression technique)int find(struct subset subsets[], int i){ // find root and make root as parent of i // (path compression) if (subsets[i].parent != i) subsets[i].parent = find(subsets, subsets[i].parent); return subsets[i].parent;} // A function that does the union of two sets of x and yvoid Union(struct subset subsets[], int x, int y){ int xroot = find(subsets, x); int yroot = find(subsets, y); // Attach smaller rank tree under root of high // rank tree (Union by Rank) if…Question 1:Convert a decimal to binary and binary to decimal using recursionTest your implementation with following examples:● (1947)10 = (11110011011)2● (1992)10 = (11111001000)2● (2021)10 = (11111100101)2Question 2:Implement a member function that prints a singly linked list in reverse order without creating acopy or changing the original List.void printBackwards() constQuestion 3:Implement a recursive member function “isSorted” which recursively checks whether the linked listis sorted (ascendingly).bool isSorted() constQuestion 4:You will implement a function bool Equalize_Occurrences (char key, int maxcount) of theclass list, that will take a character key and maximum count for the consecutive occurrences of thekey inparameters. It will then traverse the list, verify and update the consecutive occurrences of the keyaccordingto maximum count and returns true. It returns false if no occurrence of key is found.Note: You can traverse the list only once for this task.
- A list is sorted in ascending order if it is empty or each item except the last one is less than or equal to its successor. Define a predicate isSorted that expects a list as an argument and returns True if the list is sorted, or returns False otherwise. (Hint: For a list of length 2 or greater, loop through the list and compare pairs of items, from left to right, and return False if the first item in a pair is greater.)Programming assignments1) Waiting line simulation in an Indian post office:In an Indian post office that not only delivers mail but also functions as a savingsbank carrying out specific transactions, a lone postal worker serves a single queue ofcustomers. Every customer receives a token # (serial number) as soon as they enterthe queue. After service, the token is returned to the postal worker, and the customerleaves the queue. At any point in time, the worker may want to know how manycustomers are yet to be served.i) Implement the system using an appropriate queue data structure, simulating arandom arrival and departure of customers after service completion.ii) If a customer arrives to operate their savings account at the post office, thenthey are attended to first by permitting them to join a special queue. In such a case,the postal worker attends to them immediately before resuming their normal serviceof mail delivery. Modify the system to implement this addition in serviceImplement a LinkedList class that stores integers using dynamic memory and a proper main program to test it. The following member functions need to be properly implemented and tested: 1. Default constructor. 2. Parmetrized Constructor. 3. Sum. 4. Average. 5. InsertAtHead. 6. InsertAtTail. 7. Delete. 8. Pop. 9. Circular. 10. Display. Sample answer is also provided.
- To view the members of an object (e.g. the outputs of a cmdlet), we will pipe the outputs of the cmdlet to this cmdlet. For example, to see the Properties and Methods of processes, we would use Get-Process | this cmdlet: Group of answer choices Get-Information Get-More Get-Member Get-PropertyCreate a lazy elimination deletion function for the AVLTree class.There are several approaches you can take, but one of the simplest is to add a Boolean property to the Node class that indicates whether or not the node is designated for deletion. This variable must then be considered by your other techniques.Program in C++ Create an abstract class Binary_Treehaving three traversal functions(preorder, inorder, postorder) andanother function to calculate theheight of the binary tree. Derive aclass BST (Binary search tree) fromBinary_tree having a suitable insertand delete functions. Derive anotherclass AVL Tree from BST which must bebalanced.
- Recursive function tracing: drawing Recursion Tree for Smallest(a, 0, 6), where vector a contains the following numbers: a = {4, 5, 10, 1, 20, 23, 2}. • clearly label each recursive call’s parameters• clearly label what each call returns to its caller //Return smallest element in sublist a[first...last] int Smallest (vector<int> a, int first, int last){ if (first==last) return a[first]; mid = (first+last)/2; //integer division l1 = Smallest(a, first, mid); l2 = Smallest (a, mid+1, last); if (l1>l2) return l2; else return l1; }Here you can find the java code and photo of challenge: import java.io.*;import java.math.*;import java.security.*;import java.text.*;import java.util.*;import java.util.concurrent.*;import java.util.function.*;import java.util.regex.*;import java.util.stream.*; public class Solution { public static class DirectedGraph {/* Adjacency List representation of the given graph */private Map<Integer, List<Integer>> adjList = new HashMap<Integer, List<Integer>>(); public String toString() {StringBuffer s = new StringBuffer();for (Integer v : adjList.keySet())s.append("\n " + v + " -> " + adjList.get(v));return s.toString();} public void add(Integer vertex) {if (adjList.containsKey(vertex))return;adjList.put(vertex, new ArrayList<Integer>());} public void add(Integer source, Integer dest) {add(source);add(dest);adjList.get(source).add(dest);} /* Indegree of each vertex as a Map<Vertex, IndegreeValue> */public Map<Integer, Integer> inDegree()…a) The preorder traversal of a Binary Search Tree (BST) is given below.40 20 10 15 25 30 60 50 80 100 Draw the BST and briefly explain the process you followed to build the tree. b) Write a function f1 that takes the root of a binary tree as a parameter and returns the sum of the nodes, which are the left child of another node. The root of the tree is not a child of any node. Consider the following class definitions while writing your code.class Node {public:int key;Node* left;Node* right;};