Illustrate that via AVL single rotation, any binary search tree T1 can be transformed into another search tree T2 (with the same items).Give an algorithm to perform this transformation using O(N log N) rotation on average. Use c++.
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Illustrate that via AVL single rotation, any binary search tree T1 can be transformed into another search tree T2 (with the same items).Give an
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- Given an array that represents Breadth First Search or BFS traversal of a Complete Binary Search Tree, implement a recursive void method to print the preOrder traversal of the same Complete Binary Search Tree. You do not need to construct the BST. A Complete Binary Search Tree is a BST in which every level, except possibly the last, is completely filled, and all nodes are as far left as possible. Following is an example of a Complete Binary Search Tree: A. BFS traversal array (level by level from left to right): bfs[] = {50, 35, 55, 30, 45} B. PreOrder traversal (middle, left, right) : 50 35 30 45 55 Your recursive method "void convertBFStoPreOrder" will get an array A as an input and will print B. Hints: In the given BFS traversal array, bfs[], if i is the index of a parent, 2i+1 will give you the index of the left child, and 2i+2 will give you the index of the right child. "Assume that input array is always correct and represent a correct BFS traversal of a Complete BST."…Your task for this assignment is to identify a spanning tree in one connected undirectedweighted graph using C++.1. Implement a spanning tree algorithm using C++. A spanning tree is an acyclic spanningsubgraph of the of a connected undirected weighted graph. The program is interactive.Graph edges with respective weights (i.e., v1 v2 w) are entered at the command line andresults are displayed on the console.2. Each input transaction represents an undirected edge of a connected weighted graph. Theedge consists of two unequal non-negative integers in the range 0 to 9 representing graphvertices that the edge connects. Each edge has an assigned weight. The edge weight is apositive integer in the range 1 to 99. The three integers on each input transaction areseparated by space. An input transaction containing the string “end-of-file” signalsthe endof the graph edge input. After the edge information is read, the process begins. Use anadjacency matrix for recording input edges and show all…Suppose we need to write an efficient program to store N employee records for ABC Inc where each employee record is identified by unique employee id. Consider the following ways to store the records. 1. An array list sorted by employee id 2. A linked list sorted by employee id 3. A linked list not sorted 4. A balanced binary search tree with employee id as key For data structure 1-4, what is the average time to find an employee record given employee id as a key? a. O(log N), O(N), O(N), O(log N) b. O(N), O(log N), O(N), O(1) c. O(log N), O(log N), O(N), O(log N) d. O(log N), O(log N), O(log N), O(1) e. O(log N), O(log N), O(N), O(1)
- Write a complete C++ program that implements the Breadth First Search (BFS) Algorithm (Chapter 22). Your final submitted code and report should include some sample results that demonstrate that your code is successfully and correctly working. You need to present 3 samples. - You must ask the user to enter the number of vertices n for your graph, and go over the source vertices or nodes in numerical or alphabetical order. - Based on the number of vertices, randomly generate the edges. - Assume you are using the Adjacency Matrix to represent your graph. Assume you have an un-directed graph. Make sure that you ask the user to enter the number of vertices, Fixed number of vertices is not accepted. Use numeric numbers to name the vertices. Based on the number of vertices entered by the user, randomly generate the edges connected the vertices. Assume that you only allow undirected edges or undirected graph. Apply the BFS algorithm on the generated graph. Organize the resulted BFS…Write a complete C++ program that implements the Breadth First Search (BFS) Algorithm (Chapter 22). Your final submitted code and report should include some sample results that demonstrate that your code is successfully and correctly working. You need to present 3 samples. - You must ask the user to enter the number of vertices n for your graph, and go over the source vertices or nodes in numerical or alphabetical order. - Based on the number of vertices, randomly generate the edges. - Assume you are using the Adjacency Matrix to represent your graph. Assume you have an un-directed graph. Make sure that you ask the user to enter the number of vertices, Fixed number of vertices is not accepted. Use numeric numbers to name the vertices. Based on the number of vertices entered by the user, randomly generate the edges connected the vertices. Assume that you only allow undirected edges or undirected graph. Apply the BFS algorithm on the generated graph. Organize the resulted BFS Tree in a…Write a complete C++ program that implements the Breadth First Search (BFS) Algorithm (Chapter 22). Your final submitted code and report should include some sample results that demonstrate that your code is successfully and correctly working. You need to present 3 samples. - You must ask the user to enter the number of vertices n for your graph, and go over the source vertices or nodes in numerical or alphabetical order. - Based on the number of vertices, randomly generate the edges. - Assume you are using the Adjacency Matrix to represent your graph. Assume you have an un-directed graph. Make sure that you ask the user to enter the number of vertices, Fixed number of vertices is not accepted. Use numeric numbers to name the vertices. Based on the number of vertices entered by the user, randomly generate the edges connected the vertices. Assume that you only allow undirected edges or undirected graph. Apply the BFS algorithm on the generated graph. Organize the resulted BFS Tree in a…
- Write a complete C++ program that implements the Breadth First Search (BFS) Algorithm (Chapter 22). Your final submitted code and report should include some sample results that demonstrate that your code is successfully and correctly working. You need to present 3 samples. - You must ask the user to enter the number of vertices n for your graph, and go over the source vertices or nodes in numerical or alphabetical order. - Based on the number of vertices, randomly generate the edges. - Assume you are using the Adjacency Matrix to represent your graph. Assume you have an un-directed graph. Make sure that you ask the user to enter the number of vertices, Fixed number of vertices is not accepted. Use numeric numbers to name the vertices. Based on the number of vertices entered by the user, randomly generate the edges connected the vertices. Assume that you only allow undirected edges or undirected graph. Apply the BFS algorithm on the generated graph. Organize the resulted BFS…Write a complete C++ program that implements the Breadth First Search (BFS) Algorithm (Chapter 22). Your final submitted code and report should include some sample results that demonstrate that your code is successfully and correctly working. You need to present 3 samples. - You must ask the user to enter the number of vertices n for your graph, and go over the source vertices or nodes in numerical or alphabetical order. - Based on the number of vertices, randomly generate the edges. - Assume you are using the Adjacency Matrix to represent your graph. Assume you have an un-directed graph. Make sure that you ask the user to enter the number of vertices, Fixed number of vertices is not accepted. Use numeric numbers to name the vertices. Based on the number of vertices entered by the user, randomly generate the edges connected the vertices. Assume that you only allow undirected edges or undirected graph. Apply the BFS algorithm on the generated graph. Organize the resulted BFS…Write a C/C++ program to implement Floyd Warshall Algorithm that displays the matrix after each step. Elements should be right-aligned in proper columns. Use your program on the graph given below. Give the source code and the runtime screen. 3 8. 1 4 3 2.
- Computer Science please solve this problem as soon as possible Write a function to insert the element into the linked list the given number X. E.g., for a given set of integers, [2, 4, 12, 6, 5, 3], the linked list is 2->4->12->6->5->3. For a given number, (X=15), the count will be 11 that are (2,4), (2,12), (2,6), (2,5), (2,3), (4,6), (4,5), (4,3), (6,5), (6,3), (5,3).Using C++, please explain aswell. Thank you, I will upvote! Implement a dynamic programming algorithm for finding a minimum vertex cover of a tree. • Input will come from cin – The first line will contain two integers, n and m, separated by a space. – n is a number of vertices and m is a number of edges. – The next m lines will contain two integers, u and v, separated by a space. – Each of these pairs represents an undirected edge {u, v}. • Print output to cout – Your output should consist of a single integer representing the size of the vertex cover discovered.how to implement this function using c++ ( void dijkstra(char startVertex, char* prev, Node distances[] );//find the shortest path from the start vertex to all other vertices, by filling the prev array and the distances array ) using those functions from other classes functions struct Node{char label;int cost;}; class MinHeap{ Node* heap; //an array of nodes int _size; //size of arraypublic: Node extractMin(); //returns & removes the node with minimum cost void buildMinHeap(Node[],int);// allocates array then builds a min-heap from an array of struct Node with the given size void minHeapify(int i, int n);//restores the min-heap property for the “heap” array using the given index and size n void decreaseKey(char label,int newCost);//decreases the node that has the given label to newCost int parent(int i);//returns the index of the parent of i int getSize();//returns size of the heap bool inHeap(char);//checks if the node with the given label is in the heap} class WeightedGraph{…