Construct a B+-tree for the following set of key values:(2, 3, 5, 7, 11, 17, 19, 23, 29, 31) Assume that the tree is initially empty and values are added in ascending order.Construct B+-trees for the cases where the number of pointers that will fit inone node is as follows: Eight
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Construct a B+-tree for the following set of key values:
(2, 3, 5, 7, 11, 17, 19, 23, 29, 31) Assume that the tree is initially empty and values are added in ascending order.
Construct B+-trees for the cases where the number of pointers that will fit in
one node is as follows: Eight
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- Construct a B+-tree for the following set of key values:(2, 3, 5, 7, 11, 17, 19, 23, 29, 31) Assume that the tree is initially empty and values are added in ascending order.Construct B+-trees for the cases where the number of pointers that will fit inone node is as follows:a. Fourb. Sixc. Eight8. sum_binary_tree For this function, we are using a data structure called a binary tree, which is useful for storing all different kinds of data. In this problem a binary tree contains a single number, and it has two children, each of which may be either None, or they may be more binary trees. You can see, this is a recursively defined data structure! To recap: each binary tree contains a number and two children. The children are either None or a BinaryTree object. In this function we want to sum up all of the numbers contained in a binary tree and its children (recursively). Sample calls should look like this: | >>> sum_binary_tree(BinaryTree(10, None, None)) 10 >>> sum_binary_tree(BinaryTree(10, None, BinaryTree(10, None, BinaryTree(10, None, None)))) 30 >>> sum_binary_tree(None)8. sum_binary_tree For this function, we are using a data structure called a binary tree, which is useful for storing all different kinds of data. In this problem a binary tree contains a single number, and it has two children, each of which may be either None, or they may be more binary trees. You can see, this is a recursively defined data structure! To recap: each binary tree contains a number and two children. The children are either None or a BinaryTree object. In this function we want to sum up all of the numbers contained in a binary tree and its children (recursively). Sample calls should look like this: >>> sum_binary_tree(BinaryTree(10, None, None)) 10 >>> sum_binary_tree(BinaryTree(10, None, BinaryTrate (10, None, BinaryTree(10, None, None)))) 30 >>> sum_binary_tree(None)
- *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…Language/Type: C++ binary trees pointers recursion Write a function named hasPath that interacts with a tree of BinaryTreeNode structures representing an unordered binary tree. The function accepts three parameters: a pointer to the root of the tree, and two integers start and end, and returns true if a path can be found in the tree from start down to end. In other words, both start and end must be element data values that are found in the tree, and end must be below start, in one of start's subtrees; otherwise the function returns false. If start and end are the same, you are simply checking whether a single node exists in the tree with that data value. If the tree is empty, your function should return false. For example, suppose a BinaryTreeNode pointer named tree points to the root of a tree storing the following elements. The table below shows the results of several various calls to your function: 67 88 52 1 21 16 99 45 Call Result Reason hasPath(tree, 67, 99) true path exists…Construct a B+-tree for the following set of key values:(2, 3, 5, 7, 11, 17, 19, 23, 29, 31) Assume that the tree is initially empty and values are added in ascending order.Construct B+-trees for the cases where the number of pointers that will fit inone node is as follows: Four
- Find the errors in the program then correct them. CODE: #include <bits/stdc++.h>using namespace std; /* A binary tree node has key, pointer to leftchild and a pointer to right child */struct Node { int key; struct Node *left, *right}; /* function to create a new node of tree andreturn pointer */struct Node* newNode(int key){ struct Node* temp = new node; temp->key = key; temp->left = temp->right = NULL; return temp;}; /* Inorder traversal of a binary tree*/void inorder(struct Node* temp){ if (!temp) return 0 inorder(temp->left); cout << temp->key << " "; inorder(temp->right)} /* function to delete the given deepest node(d_node) in binary tree */void deletDeepest(struct Node* root, struct Node* d_node){ queue<struct Node*> q q.push(root); // Do level order traversal until last node struct Node* temp; while (!q.empty()) { temp = q.front(); q.pop(); if (temp…Topic: Doubly Linked List Deque Implement the following problem in the main case 0 (see attached photo) Your algorithm for the hierarchy problem should follow this: Evaluate the final set of operations first given the set of rules. Then, do the remove operations. Finally, do the add operations. DO NOT MIND THE #include "dlldeque.h" it is already implemented only the case 0 needs to be solved #include <iostream> #include <cstring> #include "dlldeque.h" using namespace std; int main(int argc, char** argv) { DLLDeque* deque = new DLLDeque(); int test; cin >> test; switch (test) { case 0: // perform your Hierarchy implementation here // utilize the deque initialized, // initialize variables you need before switch // you can use the print() method to debug, but not the final_print() // do not modify from this point onwards deque->final_print();…Construct a B+-tree for the following set of key values:(2, 3, 5, 7, 11, 17, 19, 23, 29, 31) Assume that the tree is initially empty and values are added in ascending order.Construct B+-trees for the cases where the number of pointers that will fit inone node is as follows: Six
- Using Fundamental Data Structures Purpose: The purpose of this: Design and develop Applications that incorporate fundamental data structures such as: Singly Linked Lists Doubly Linked Lists Circularly Linked Lists Exercise 3 If your first name starts with a letter from A-J inclusively: Implement the clone() method for the CircularlyLinkedList class. Make sure to properly link the new chain of nodes. If your first name starts with a letter from K-Z inclusively: Let L1 and L2 be two circularly linked lists created as objects of CircularlyLinkedList class from Lesson. Write a method that returns true if L1 and L2 store the same sequence of elements (but perhaps with different starting points). Write the main method to test the new method. Hint: Try to find a matching alignment for the first node of one list.C Programming language Part 1: You need to define a data structure for a doubly linked list and a binary search tree. Also, you need to implement the following functions: Insert Sorted LINKEDLIST insertSorted(LINKEDLIST head, int num): head points to the first node in the sorted linked list; num is a number to be inserted in in correct place in the linked list pointed at “head”. The linked list should be sorted after inserting “num”. This function returns the head of the modified head. BSTREE insert(BSTREE root, int num): root points to a node in a binary search tree; num is a number to be inserted in the tree rooted at “root”. This function returns the root of the modified tree. Find an element LINKEDLIST find(LINKEDLIST head,int num): head points to the first node of a linked list; num is a number to be searched for in the linked list started at “head”. This function returns a pointer to the node containing “num” or NULL if num is not found BSTREE find(BSTREE root,int…Instructions. c++ binary search trees. 1. Implement a function that will build a binary search tree. 2. Using the function above create a binary search tree. 3. Implement a swapSubtrees() function that will take a pointer to a root node and a target value. Function will search for the target value in the tree and swap all left nodes with right nodes for all descendant nodes. 4. Pass the tree created in step 2 to test swapSubtrees() function. 5. You can use the inorder, postorder or preorder traversal implemented in class to display and confirm the logic. (trace it by hand as well) TreeNode{ int val; TreeNode* left = nullptr; TreeNode* right = nullptr; TreeNode(){} TreeNode(int val): val(val){} };