1. Given the following sequence of integers:

10, 17, 3, 90, 22, 7, 40, 15

a) Starting with an empty binary search tree, insert this sequence of integers one at a time into this tree. Show the final tree. Assume that the tree will not keep any duplicates. This means when a new item is attempted to be inserted, it will not be inserted if it already exists in the tree.

b) How many item-to-item comparisons in all did it take to build this tree? (Assume one comparison for equality check, and another to branch left or right.)