2. (25 points) Consider the following sequence of items 10, 36, 25, 54, 37, 12, 75, 68, 42, 86, 72, 90. Insert these items in the order above, into an initially empty implicit binary max-heap. Show the heap throughout the process but write down the heap as an answer after every 3 INSERT() oper- ations. (Just hand-simulate the behavior of the implicit binary max-heap, and draw the resulting heap, both throughout the entire process and the ones after every 3 INSERT() operations as answers (note that the former is to show all your work so that partial credits can be given in case you make mistakes, while the latter (answers) are the ones to be graded). Draw them in the form of a tree rather than an array.) (2 + 5 + 8 + 10 = 25 points)