___________ is one of the earliest forms of a self-adjustment strategy used in splay trees, skew heaps.
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___________ is one of the earliest forms of a self-adjustment strategy used in splay trees, skew heaps.
a) Union by rank
b) Equivalence function
c) Dynamic function
d) Path compression
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- create a treap but the priorites should be based of min heap (meaning the to highest priority should be the smallest) this should be done in c# with a node class of type T the add method should be something like this private Node Add(T item, Node root) the remove/ delete node should be done without recursion please it should be done in c# it should be done in c# do not do it in c or c++ please show testing thank youu.Please don't copy create a treap but the priorites should be based of min heap (meaning the to highest priority should be the smallest) this should be done in c# with a node class of type T the add method should be something like this private Node Add(T item, Node root) the remove/ delete node should be done without recursion please it should be done in c# it should be done in c# do not do it in c or c++ please show testing thank youu.With what data structure can a priority queue be implemented?a) Arrayb) Listc) Heapd) Tree
- C++ CODE PLEASE Using an array to represent the min-max heap structure , implement the following operations. (in c++ programming language) 1. buildHeap : Builds a min-max heap from a list of naturals read from standard input. 2. findMin and findMax : Returns the minimum (resp the maximum) element. 3. insertHeap : Inserts a new element into the min-max heap. 4. deleteMin and deleteMax : Deletes the minimum (resp the maximum) element. NOTE: min-max should be in one heap structure only and not separate heap structure for min and max. Only one heap for both min and max. Root should be min level, the level below root should be max level,then level after that should again be min level and so on.C programming I need help writing a code that uses a struct pointer into a binary tree and using the same pointer into an arrayNeed to answer in C language: Part 1: I need to define a binary search tree data structure and need to implement the following functions: Insert Sorted 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. Print Elements void inorderTraversal(BSTREE root, FILE *fp): root points to a node in a binary search tree. This function does not return anything, but prints out, to the file specified, the nodes in the tree rooted at “root” by performing an inorder traversal. Part 2: Test the performance of the designed data structure using theoretical and experimental approaches as follows: Dataset 1-Dataset is sorted- Add code to insert the numbers 1...n in that order in a binary search tree. Run it on different values of n where : n = 20,000 n = 50,000 n = 100,000 Do an in-order traversal of the tree, printing out the contents to a file…
- 7. The following array contains a min-heap (a heap where each node is smaller than its children): 1 42 78 6 5 9 (a) Draw this heap in tree format. (b) Show the heap that results if you add 3 to it. Display the heap in both the array and tree formats. (c) Show the heap that results if you dequeue from the original heap (NOT the version from part (b)). Display the heap in both the array and tree formats.C++ code Stack Implementation using Variable-sized Dynamic Arrays2. Stack Implementation using Linked Lists3. The applications of Stacks1. Implement a template-based stack using a variable-sized dynamic array. When the array getsfull, double its size before insertion of new elements. When array contains data lesser than33% of its size, reduce its size to half. The required member methods are:T* arr: array containing data elements of stackint capacity: stores the capacity of stack.int getCout(): returns total elements stored in the stack.bool isEmpty(): returns true if the stack is empty else false.bool isFull(): returns true if the stack is full.bool top(): returns, but does not delete, the topmost element from the stack via theparameter passed by reference, and returns true via the return statement. If there is noelement, it returns false via the return statement.bool pop(): deletes the top most element from the stack and returns true via the returnstatement. If there is no element,…How is a pairing heap represented?a) binary treeb) fibonacci treec) heap ordered treed) treap
- in c++ Consider the following sequence: 10, 32, 70, 15, 60, 5, 7, 23, 19 You have to perform dry runs in part 1 to 4: Represent it in the form of an array Perform breadth first traversal Perform Inorder, pre order and post order traversals Delete the node 32, and re draw the tree after deletion Implement the above to support your answersPairing heaps time complexity was inspired by that of?a) splay treeb) treapc) red-black treed) avl treeC++ 2 Binary search tree Consider the following BSTNode structure that represents a binary search tree node, and the BSTree structure that represents a binary search tree. The root pointer points to the root node, and size book-keeps the number of items in the binary search tree. template struct BSTNode { T data; BSTNode left; BSTNede right; // BSTNode parent: BSTNode (T d) : data(d), left (0), right (0)/, parent (0) / 0 // invariant 1: // (left // invariant 2: // (right! null) inplies (data struct BSTree { BSTNode root; unsigned int size: BSTree () BSTNode BSTNode BSTNode BSTNode root (NULL), size (0) () insert (T d); find (T d); min(); next (BSTNode > current); void renove (BSTNode node); //invariant: // (root null) equiv (size -- 0) }; • Implement the insert and find methods. insert should insert element d in the tree, and find takes an element d and returns a pointer to the node that has d as value if it exists. Otherwise, it returns NULL. • Implement the min, and next…