Input orders : 8,1,9,4,2,3,5,6,7 please solve in details. and answer all the ques

Question 1: 4 marks Build a Binary Search Tree with the given input order. You must show step by step process of inserting the inputs including both recursive calls and tree diagrams for each step. ( refer to the Insertitem function of Lecture 10 slides to get an idea of doing this.) N.B: Unique Input orders for each student to build the tree are given on a separate file. Write down the input order on your answer script before answering the question. You must use the assigned input order. Do not change the order. Question 2: 3 marks Write down the inorder, preorder, and post-order traversal of the tree you made in Question 1. Question 3: 3 marks Delete the Left Node of level 1 from the tree you have built in Question 1. Show step-by-step procedure of deleting and draw the final status of the tree after deletion is completed Now, you have a new tree that is different from the previous tree. Delete the Right Node of level 1 from this derived tree. Show step-by-step procedure of deleting and draw the final status of the tree after deletion is completed