AVL Tree Implementation program Important note: You must separate your program into three files: header file (*.h), implementation file (*.cpp) and main file (*.cpp). Write a program to build an AVL tree by accepting the integers input from users. For each input, balance the tree and display it on the screen; you then calculate the indorder traversals as well. There should be a menu to drive the program. It should be similar as follows: AVL Tree Implementation A: Insert an integer to tree and show the balanced tree at each insertion. B: Display the balanced tree and show inorder traversal. C: Exit To be sure, your program is correctly working, use the following data to test AVL tree: 15, 18, 10, 7, 57, 6, 13, 12, 9, 65, 19, 16, 23 You should perform more test with different data sets.

HAPTER 5: Lists and Dictiona st membership > 51621 O WorkArea Instructions eadline: 03/ 11:59pm EDT Given that k contains an integer and that play_list has been defined to be a list, write a expression that evaluates to True if the value assigned to k is an element of play_list. Additional Notes: play_list and k should not be modified

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…

C Programming Language Task: Deviation Write a program that prompts the user to enter N numbers and calculates which of the numbers has the largest deviation from the average of all numbers. You program should first prompt the user to enter how many numbers that will specify. The program should then scan for each number, separated by a newline. You should calculate the average value and return the number from the list which is furthest away from this average (to 2dp). Try using dynamic memory functions to store the incoming array of numbers on the heap. Code to build from: + 1 #include 2 #include 3 4 int main(void) { 5 6} 7 Output Example: deviation.c How many numbers? 5 Enter them: 1.0 2.0 6.0 3.0 4.0 Average: 3.20 Largest deviation from average: 6.00