Need help with this java programming homework Please Example C 9.37 Suppose two binary trees, T1 and T2, hold entries satisfying the heap-order prop- erty (but not necessarily the complete binary tree property). Describe a method for combining T1 and T2 into a binary tree T, whose nodes hold the union of the entries in T1 and T2 and also satisfy the heap-order property. Your algorithm
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Example C 9.37
Suppose two binary trees, T1 and T2, hold entries satisfying the heap-order prop- erty (but not necessarily the complete binary tree property). Describe a method for combining T1 and T2 into a binary tree T, whose nodes hold the union of the entries in T1 and T2 and also satisfy the heap-order property. Your
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- Problem1: Use the procedure MAX-HEAPIFY in a bottom-up manner to convert the arrayA = <1, 7, 6, 8, 0, 5, 2, 12, 3, 18> to build a max heap Problem 2:Insert the following set of keys {1, 7, 6, 8, 0, 5, 2, 12, 3, 18} in an empty binary search tree in the order they are listed.8_ I need completion of code. Given a binary tree, check whether it is a mirror ofitself (ie, symmetric around its center). For example, this binary tree [1,2,2,3,4,4,3] is symmetric: 1 / \ 2 2 / \ / \3 4 4 3But the following [1,2,2,null,3,null,3] is not: 1 / \ 2 2 \ \ 3 3Note:Bonus points if you could solve it both recursively and iteratively.""" # TC: O(b) SC: O(log n)def is_symmetric(root): if root is None: return True return helper(root.left, root.right) def helper(p, q): if p is None and q is None: return True if p is not None or q is not None or q.val != p.val: return False return helper(p.left, q.right) and helper(p.right, q.left) def is_symmetric_iterative(root): if root is None: return True stack = [[root.left, root.right]] while stack: left, right = stack.pop() # popleft if left is None and right is None: continue. .Write a C++ program to build a binary search tree based on the following number sequence. Then print out this tree in preorder, inorder, and post order. You must implement the three traversal print functions recursively. Output should create a binary search tree structure. [6, 10, 7, 14, 3, 11, 5, 15, 4, 13, 12, 2, 8, 9, 1]
- 224.Consider the following statements: a. Kruskal’s algorithm might produce a non-minimal spanning tree. b. Kruskal’s algorithm can efficiently implemented using the disjoint-set data structure. a is true but b is false Both a and b are false Both a and b are true b is true but a is falsea) Create a min-heap tree for the following numbers. The numbers are read in sequence from left to right. 14, 7, 12, 18, 9, 25, 14, 6 b) How would the above heap tree be changed when we remove the minimum?Given the following non-recursive implementation of depth-first search: A. Complete the implementation of depth-first search by filling in the TODO sections with the appropriate C++ code. Remember to: Print out each node you visit. Visit each node exactly once. B. What is the purpose of stack<string> q? C. What is the purpose of set<string> v?
- You are given a list of numbers for which you need to construct a min-heap. (A min-heap is a complete binary tree in which every key is less than or equal to the keys in its children.) How would you use an algorithm for constructing a max-heap (a heap as defined in Section 6.4) to construct a min-heap? You need to describe your algorithm in pseudo code.We talked about using data structure queue to implement level order traversal for binary trees. For example, level order traversal of following binary tree would output [10, 5, 20, 3, 8, 12, 30]. Now please design and implement a function that takes in tree’s root, delete the whole binary tree, and set the root to nullptr. You may use queue for this function, and its time complexity should be O(n).Write a program in C++ to do the following operations on a Binary Search Tree (BST) considering the inputs are a set of strings that represent the name of 12 months of a year (in the order January, February,. . ., December). i) Create a BST and add one by one string where each string represents the name of a month. ii) Print the inorder, pre-order, and post-order traversal of the BST. iii) Print the minimum and maximum value strings among all the strings after the creation of the entire BST. Here, minimum and maximum values decided based on the alphabetical order of the strings. (For, example: Among January, February and March, ‘February is minimum value of the string and ‘March’ is the maximum value of string.)
- Direction: Given the following values, construct the max heap binary tree, then write the pre-order and post-order traversal values. 80, 65, 50, 40, 38, 44, 42, 30, 25you are given 262 items that need to be inserted into a binary heap. a) What is the height of the tree that represents the heap when all the items have been inserted? b) How many additional items can be inserted without increasing the height of the tree that represents the heap? please explain in detail.USING C++, Implement a TEMPLATED Binary Search Tree (BST) (RECURSIVE OPERATIONS REQUIRED) class called intBst, which stores integers. Provide the following recursive operations: Insert, Delete tree, Search, inOrder traversal, preOrder traversal, postOrder traversal. Would Delete tree be public or private? Methods that are essential for the correct operation of the tree in terms of managing memory must be provided. Any additional methods can be added. Your Bst.h file for this exercise will now have: template <class T> class Bst{… /// declaration of methods and data members of class Bst with doxygen comments }; // rest of the code in Bst.h with normal (non-doxygen) code comments As this is a template class, there is no Bst.cpp. As Node stores the data, Node will also be implemented as a template. Test your template BST with an integer data file. Change the declaration in your test program (main) to: Bst<int> intTree; // rest of the code The data file will contain non-sorted…