1. Consider the following integers in an unsorted array A = [3, 7,9,0,5, 1,6, 8,4,2, 0,6, 1,5, 7,3,4,9,8,2]. Assume that you use the sequence {1,3,7, 15} to perform Shell sort. In particular, we refer to an iteration of sorting k sub-arrays as k-sorting. Show the contents of A after (i) 15-sorting, (ii) 7-sorting, and (iii) 3-sorting. Of course, we assume that we perform 15-sorting, 7-sorting, and 3-sorting consecutively.