In this programming assignment, you will implement in Java this sorting algorithm using BST, by using the improved insertion procedure. Note that each node of a BST is an object containing four attributes: key (for the value of an element), lef t (for its left child), right (for its right child), and p (for its parent). Please add a static counter to track the number of key comparisons made by your algorithm. Your program will output the following 1. The size of the input array, 2. The input array, 3. The list of array elements after sorting, and 4. The number of key comparisons made.

C PROGRAMMING Implement dijkstras alorithm  Check that the Graph graph, and starting node, id, are valid• Create the set S containing all the networks (vertices) except the source node (you might wantto use an array for this.• Create an array to represent the table D and initialise it with the weights of the edges from thesource node, or infinity if no edge exists. You should use the constant DBL_MAX to representinfinity.• Create an array to represent the table R and initialise it with the next hops if an edge existsfrom the source, or 0 otherwise.• Then repeatedly follow the remaining rules of Dijkstra’s algorithm, updating the values in D andR until S is empty.• Each of the values required to complete the above can be found by calling the variousfunctions (get_vertices(), get_edge(), edge_destination(), edge_weight(), etc.)in the supplied graph library.• Once Dijkstra’s algorithm has run, you will need to create the routing table to be returned byallocating enough memory for the…

Create three problem instances of size n is around 10, representing the best-case, worst-case and average-case for Radix Sort respectively. Show how the Radix Sort works on the best-case, and explain why each of them represents the best-case, worst-case and average-case respectively.   psudocode for Radixsort attached

Write a program that maintains a personal phone book in C. The program allows to:▪ Add and Delete entries from the phone book,▪ Search the phone book for a specific entry by last name or by phone number, and▪ Print out the entire entries in the phone book.The data in the phone book is maintained by storing in memory with the use of a singly linked list, withone list node per entry. Each node contains members for storing a person’s family name, first name, address,and the phone number. Use strings to store this information. The linked list must be kept in increasingalphabetical order, sorted by family name. There are no duplicate entries with the same family nameallowed in the phone book. This program should be menu driven, with the user being offered a choice of the following commandsdescribed below:▪ Insert a new entry into the phone book.The program should prompt the user for a new family name and first name, an address and a phonenumber. This information should be placed in a new…