After executing BFS( G1, A), determine which of the following statements is/are true. Check ALL that apply.
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5. Graph Traversals
Breadth First Search
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- Consider the following function:int mystery(NodeInt32* node){int counter = 0; while (node != NULL) {counter++;node = node->next; } return counter;}(a)The mystery function is recursive.A. True B. FalseCode in C++ only In a rooted tree, the lowest common ancestor (or LCA for short) of two vertices u and v is defined as the lowest vertex that is ancestor of both that two vertices. Given a tree of N vertices, you need to answer the question of the form "r u v" which means if the root of the tree is at r then what is LCA of u and v. Input: 12 23 14 2 142 242 Output: 1Create 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.
- Computer Science Exercise: shape [★★★] Write a function same_shape : 'a tree -> 'b tree -> bool that determines whether two trees have the same shape, regardless of whether the values they carry at each node are the same. Hint: use a pattern match with three branches, where the expression being matched is a pair of trees. please use Ocaml for the codingunique please Your task for this assignment is to identify a spanning tree in one connected undirected weighted graph using C++. Implement a spanning tree algorithm using C++. A spanning tree is a subset of the edges of a connected undirected weighted graph that connects all the vertices together, without any cycles. The program is interactive. Graph edges with respective weights (i.e., v1 v2 w) are entered at the command line and results are displayed on the console. Each input transaction represents an undirected edge of a connected weighted graph. The edge consists of two unequal non-negative integers in the range 0 to 9 representing graph vertices that the edge connects. Each edge has an assigned weight. The edge weight is a positive integer in the range 1 to 99. The three integers on each input transaction are separated by space. An input transaction containing the string “end-of-file” signals the end of the graph edge input. After the edge information is read, the process…write a code to Find the minimum node of a BST. Use either recursive or non-recursive approach.
- *Please using JAVA only* Objective Program 3: Binary Search Tree Program The primary objective of this program is to learn to implement binary search trees and to combine their functionalities with linked lists. Program Description In a multiplayer game, players' avatars are placed in a large game scene, and each avatar has its information in the game. Write a program to manage players' information in a multiplayer game using a Binary Search (BS) tree for a multiplayer game. A node in the BS tree represents each player. Each player should have an ID number, avatar name, and stamina level. The players will be arranged in the BS tree based on their ID numbers. If there is only one player in the game scene, it is represented by one node (root) in the tree. Once another player enters the game scene, a new node will be created and inserted in the BS tree based on the player ID number. Players during the gameplay will receive hits that reduce their stamina. If the players lose…Find the minimum node of a BST. Use either recursive or non-recursive approach.Help on the following question A co-worker emails you and said she developed a recursive version for doing search in a binary search tree. Here’s the code for the function: public boolean searchRecursive(Node current, int searchValue) { if (current == null) return false; if (current.data == searchValue) return true; else if (current.data > searchValue) return searchRecursive(current.right, searchValue); else return searchRecursive(current.left, searchValue); } She’s not sure if there is an error or not because the code does compile. You analyze the code and respond to her as follows: Draw a picture of what a binary search tree would look like after inserting values of 10, 15, 18, 13, 5, 1, and 8 in that order Next, if you believe there is no error with the code, then show her how the code executes when searching for different values using the tree you made in step 1) Or, if you believe there is…
- Implements the clone_node function that duplicates. If the node has a next it also duplicates it Hint: implement the following recursive pseudocode function clone_node(node) if node is NULL returns NULL returns new_node(node.value, clone_node(node.next)) Complete the code: def clone_node(node): r = <... YOUR CODE HERE ...> return rWrite a program in c++ which should create a weighted graph of the values entered by the user andthen write functions that perform the following: 1. Depth first search of source and destination vertex2. Breadth first search of source and destination vertex3. Shortest path search of source and all destination vertices (Dijkstra’s algorithm)4. Shortest path search of source and destination vertex (Dijkstra’s algorithm) The program should present a menu of the options and should run until the user opts to quit.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…