Question #3 (14 Points): a) (8 Points) Assume that the letters of your first name and last name are inserted into a binary search tree (duplicates are allowed and values less than or equal to current node will be on its left side) where each letter is inserted into a sperate node. Show how will your name look like in the following cases: i. If the tree is traversed in an Preorder traversal ii. If the tree is traversed in an Postorder traversal iii. If the tree is traversed in an inorder traversal b) (6 Points) For each of the following methods, write the time complexity in the cases below the method description. 1. The method: boolean contains(E e) which return true or false depending on whether a particular object is a member of a collection. - Case1: the data structure is Sorted list implemented with an array: - Case 2: the data structure is Sorted list implemented a with linked list: - Case 3: the data structure is Binary search tree: 2. The method: boolean insert(E e, int index): add a new item to the collection in the appropriate place. - Case 1: the data structure is Unsorted list implemented with an array: - Case 2: the data structure is Sorted list implemented with an array: - Case 3: the data structure is Binary search tree: