pose you have these inputs: M, I, T, Q, L, H, R, E, K, P, C, A. a. Show the binary search tree for these inputs. b. Show how to store the binary search

Given the following keys T, Y, V, Q, F, B, M. N, W, G, C, A, P, R, L. 1. Assuming the keys are inputted in that order, build a binary search tree according to the input: 2. Use an array to implement the tree you built and show the contents of the array: 3. Assuming the keys are all available at once and you can change the order if necessary, build a balanced binary search tree:

c) Form a binary search tree from the numbers given below using natural order (large number on right), inserting the numbers in the order they appear. 5, 10, 6, 18, 3, 2, 20 d) Use a depth-first search to find a spanning tree of the following graph. Start at the vertex a, and use alphabetical order. b d a f g с h i e

Problem Description Using the binary search tree (BST) data structure, we can sort a sequence of n elements by first calling an insertion procedure for n times to maintain a BST, and then performing an INORDER-TREE-WALK on the BST to output the elements in sorted order. To insert a node, we've discussed the TREE-INSERT procedure in class (also from page 294 of the text- book). This TREE-INSERT procedure can actually be improved to reduce the number of key comparisons so that each node's key is compared with the new node's key for at most once during each insertion. For example, given the following BST, The improved insertion procedure will make • 2 comparisons to insert a node with key = 1 • 3 comparisons to insert a node with key = 3 • 2 comparisons to insert a node with key = 8 5. Program Requirements In this programming assignment, you will implement in Java this sorting algorithm using BST, by using the improved insertion procedure. Note that each node of a BST is an object…

13. Construct a binary search tree for the list of words {make, alpha, test, high, orange, cow, pig, under, food, nice, pin, xray, dog, six}. What is the maximum search length required tree? find a word on the

Q2 please show your work

how to Traversing a Binary Search Tree. To demonstrate how this method works, implement a program that inserts a series of numbers into a BST.as given in figure.