This exercise is about drawing BSTs. You are asked to: Show the result of inserting 3, 1, 4, 6, 9, 2, 5, and 7 in an initially empty binary search tree. Then show the result of deleting the root. Draw all binary search trees that can result from inserting permutations of 1, 2 and 3. How many types of trees are there? What are the probabilities of each type of tree’s occurring if all permutations are equally likely Given the input {4371, 1323, 6173, 4199, 4344, 9679, 1989}, a fixed table size of 10, and a hash function H(X) = X mod 10, show the resulting Linear probing hash table Separate chaining hash table

When deleting a node from a binary-search tree, if the node to be deleted has only one child, the node is deleted and (select one of the option below) O replaced with the left-most leaf node of its child subtree O replaced with the nullptr O None of these O replaced with its child node O replaced with the right-most leaf node of its child subtree.

Please answer the question in the screenshot. Please give reasoning.

Q1. Consider the following sequence of numbers: 15, 20, 24, 10, 13, 7, 30, 36, and 25. Insert these numbers one by one into an initially empty red-black tree, and illustrate the tree after each insertion. rotation is needed, present the status before and after the rotation and indicate which rotation is applied. For each node, indicate the color for each node like 15(RED) or 30(BLACK), Ensure that the tree maintains its red-black properties throughout the process. Q2. Given the following sets: A = {2, 4, 6, 8, 10}, B = {1, 3, 5, 7, 9}, C = {1, 2, 3, 4, 5}, and D = {5, 6, 7, 8, 9). Calculate the following set operations and provide the resulting sets: A U B, An C, B n D, (A U B) - C, and (C n D) A (AN B).

Consider the following binary search tree (BST). root 15 42 20 34 72 2 10 18 25 31 39 59 86 17 19 32 After executing add(6), on this tree, consider the parent node of the node that contains 6. What is the value of this parent node? 30