12. Plot the variation in density with the number of nodes, n, in an array-based structure. Assume each node contains 10 information bytes and the range is 2 n 100. Note: This question expects you to do a graph. You can do this by using Microsoft Excel with n in one column and the density in another column. Calculate the density using the formula D = 1 / (1 + 4 / w + 4 / (w * n)), where w =10. Points for n should include (2, 10, 20, 30, 40, , 90, 100). Use the X Y Scatter chart to create your graph. You then can copy and paste your resulting graph into this Word document.

7.The Sorted Array structure accesses nodes using the Binary Search algorithm, and the Unsorted-Optimized Array structure uses a Sequential Search to access nodes. Knowing that a binary search is significantly faster than a sequential search, explain why it is that the average speed of the Unsorted-Optimized array structure is faster than that of the Sorted Array structure. (Assume all four basic operations are equally probable.)