please give me a Solution in C program of the following question with correct output include screenshot of out put.

5. Write a program to create an AVL TREE A and perform the operations insertion, deletion, search and traversal. Assume that the AVL TreE A does not contain duplicate values. Your program should contain the following functions. - InSERT(A,k) - Inserts a new node with key ' k ' into the tree A. - SEARCh (A, k) - Searches for a node with key ' k ' in A, and returns a pointer to the node with key k if one exists; otherwise, it returns NIL. - Deletenode(A, k) - Deletes a node with the key ' k ' from the tree A. - Getbalance (A,k) - Prints the balance factor of the node with ' k ' as key in the tree A. Note:- Balance factor is an integer which is calculated for each node as: Bfactor =height (left_subtree )height(right_subtree ) - LeftRotate(A, k) - Perform left rotation in the tree A, with respect to the node with key ' k '. - RightRotate(A, k) - Perform right rotation in the tree A, with respect to node with key 'k'. 5 - PrintTree(A) - Prints the tree given by A in the parenthesis format as: ( t ( left-subtree )( right-subtree ) ),t represents root node of tree A. Empty parenthesis ( ) represents a null tree. Note: After each insertion on an AVL TREE, it may result in increasing the height of the tree. Similarly, after each deletion on an AVL TREE, it may result in decreasing the height of the tree. To maintain height balanced property of AVL tree, we may need to call rotation functions. Tree A should be an AVL Tree after INSERT AND DELETE NODE operations. Input Format: - Each line contains a character from ' i ', ' d ', ' s ', ' b ', ' p ' and ' e ' followed by at most one integer. The integers, if given, are in the range [106,106]. - Character ' i ' is followed by an integer separated by space; a node with this integer as key is created and inserted into A. - Character ' d ' is followed by an integer separated by space; the node with this integer as key is deleted from A and the deleted node's key is printed. - Character ' s ' is followed by an integer separated by space; find the node with this integer as key in A. - Character ' b ' is followed by an integer separated by space; find the balance factor of the node with this integer as key in A and the print the balance-factor. - Character ' p ' is to print the Parenthesis Representation of the tree A. - Character ' e ' is to 'exit' from the program. Output Format: - The output (if any) of each command should be printed on a separate line. - For option ' d ', print the deleted node's key. If a node with the input key is not present in A, then print FALSE. - For option ' s ', if the key is present in A, then print TRUE. If key is not present in A, then print FALSE. - For option ' b ', if the key k is present in A, then print the balance factor of the node with k as key. If key is not present in A, then print FALSE. - For option ' p ', print the Parenthesis Representation of the tree A. Sample Input: i 4 i 6 i 3 i 2 i 1 s 2 p b 4 d 3 p e Sample Output: TRUE (4(2(1()())(3()()))(6()())) 1 3 (4(2(1()())())(6()()))